| {"id": "numeric-fresh-round-currency-019", "request": {"state": "The subtotal is $43.17 and tax is 26%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "272/5 USD"], ["X", "5439/100 USD"], ["Y", "2719/50 USD"], ["Z", "4317/100 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-019", "request": {"state": "At closing, count the parts left after shipping 44 singles from 45 full cartons containing 26 each. The stockroom code is 173.", "question": "How many parts remain?", "options": [["W", "1126"], ["X", "1214"], ["Y", "27"], ["Z", "1170"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-distance-012", "request": {"state": "A route contains 39 kilometers followed by 420 meters. The vehicle carries 17 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "1971/50 km"], ["X", "81/1000 km"], ["Y", "81 km"], ["Z", "459 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-distance-004", "request": {"state": "A route contains 30 kilometers followed by 230 meters. The vehicle carries 5 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "53/1000 km"], ["X", "53 km"], ["Y", "3023/100 km"], ["Z", "260 km"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-001", "request": {"state": "Temperature starts at minus 39 degrees, rises by 19 degrees, and then falls by 7 degrees. The weather-station code is 657.", "question": "After both changes, what does the thermometer read?", "options": [["W", "51"], ["X", "-65"], ["Y", "-13"], ["Z", "-27"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-compare-mass-012", "request": {"state": "A parcel weighs 24000 grams. The comparison mass is 24 kilograms. Its reference number is 618.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Below"], ["Y", "Above"], ["Z", "Equal"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-percentage-change-016", "request": {"state": "The old count was 1100; the new count is 1276. A separate department has 920 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "11 %"], ["X", "176 %"], ["Y", "16 %"], ["Z", "116 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-006", "request": {"state": "The old count was 2500; the new count is 2575. A separate department has 382 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "103 %"], ["X", "75 %"], ["Y", "25 %"], ["Z", "3 %"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-016", "request": {"state": "The subtotal is $28.04 and tax is 47%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "701/25 USD"], ["X", "4121/100 USD"], ["Y", "4123/100 USD"], ["Z", "2061/50 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-005", "request": {"state": "A route contains 47 kilometers followed by 30 meters. The vehicle carries 25 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "77 km"], ["X", "50 km"], ["Y", "1/20 km"], ["Z", "4703/100 km"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-011", "request": {"state": "A wallet contains 46 dollars. A purchase costs 15 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "4585 USD"], ["X", "917/20 USD"], ["Y", "31 USD"], ["Z", "923/20 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-007", "request": {"state": "At closing, count the parts left after shipping 7 singles from 5 full cartons containing 21 each. The stockroom code is 919.", "question": "How many parts remain?", "options": [["W", "19"], ["X", "105"], ["Y", "98"], ["Z", "112"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-identifier-distraction-017", "request": {"state": "Batch 127 uses 15 bottles of 44 milliliters each. The contents are shared equally among 6 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "666"], ["X", "110"], ["Y", "127/6"], ["Z", "59/6"]]}, "expected": "X"} |
| {"id": "numeric-fresh-round-currency-011", "request": {"state": "The subtotal is $20.04 and tax is 19%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "477/20 USD"], ["X", "501/25 USD"], ["Y", "596/25 USD"], ["Z", "1193/50 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-missing-price-004", "request": {"state": "A shipment contains 3 identical units. A different product costs $15 per unit. Shipping this shipment costs $13. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "45"], ["X", "3"], ["Y", "15"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-013", "request": {"state": "A route contains 25 kilometers followed by 320 meters. The vehicle carries 44 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "57/1000 km"], ["X", "57 km"], ["Y", "633/25 km"], ["Z", "345 km"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-002", "request": {"state": "Pump A fills a reservoir in 8 hours alone and pump B fills it in 7 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 160.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "1 hours"], ["X", "15 hours"], ["Y", "56/15 hours"], ["Z", "15/2 hours"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-000", "request": {"state": "Pump A fills a reservoir in 4 hours alone and pump B fills it in 40 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 119.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "44 hours"], ["X", "22 hours"], ["Y", "36 hours"], ["Z", "40/11 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-percentage-change-012", "request": {"state": "The old count was 3200; the new count is 3616. A separate department has 649 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "416 %"], ["X", "13 %"], ["Y", "32 %"], ["Z", "113 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-006", "request": {"state": "A shipment contains 14 identical units. A different product costs $47 per unit. Shipping this shipment costs $44. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "658"], ["X", "Cannot determine"], ["Y", "14"], ["Z", "47"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-011", "request": {"state": "Batch 417 uses 27 bottles of 44 milliliters each. The contents are shared equally among 9 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "1197"], ["X", "71/9"], ["Y", "132"], ["Z", "139/3"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-015", "request": {"state": "The old count was 2100; the new count is 2940. A separate department has 162 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "40 %"], ["X", "840 %"], ["Y", "21 %"], ["Z", "140 %"]]}, "expected": "W"} |
| {"id": "numeric-fresh-irrelevant-inventory-004", "request": {"state": "At closing, count the parts left after shipping 32 singles from 7 full cartons containing 35 each. The stockroom code is 166.", "question": "How many parts remain?", "options": [["W", "10"], ["X", "245"], ["Y", "213"], ["Z", "277"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-007", "request": {"state": "Temperature starts at minus 8 degrees, rises by 25 degrees, and then falls by 36 degrees. The weather-station code is 380.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-69"], ["X", "53"], ["Y", "-19"], ["Z", "-3"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-008", "request": {"state": "Pump A fills a reservoir in 23 hours alone and pump B fills it in 9 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 844.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "16 hours"], ["X", "14 hours"], ["Y", "207/32 hours"], ["Z", "32 hours"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-001", "request": {"state": "The old count was 4100; the new count is 4879. A separate department has 903 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "119 %"], ["X", "19 %"], ["Y", "41 %"], ["Z", "779 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-007", "request": {"state": "Batch 927 uses 36 bottles of 5 milliliters each. The contents are shared equally among 28 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "41/28"], ["X", "208"], ["Y", "927/28"], ["Z", "45/7"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-005", "request": {"state": "We need 554 labels. Each sealed package contains 16 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "554"], ["X", "34"], ["Y", "35"], ["Z", "16"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-010", "request": {"state": "A parcel weighs 33070 grams. The comparison mass is 33 kilograms. Its reference number is 575.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Below"], ["Y", "Above"], ["Z", "Equal"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-002", "request": {"state": "The old count was 4100; the new count is 5289. A separate department has 637 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "129 %"], ["X", "41 %"], ["Y", "29 %"], ["Z", "1189 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-006", "request": {"state": "We need 830 labels. Each sealed package contains 19 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "43"], ["X", "19"], ["Y", "44"], ["Z", "830"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-016", "request": {"state": "A shipment contains 8 identical units. A different product costs $45 per unit. Shipping this shipment costs $30. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "360"], ["X", "45"], ["Y", "8"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-002", "request": {"state": "A route contains 25 kilometers followed by 270 meters. The vehicle carries 33 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "2527/100 km"], ["X", "13/250 km"], ["Y", "52 km"], ["Z", "295 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-percentage-change-014", "request": {"state": "The old count was 3800; the new count is 4142. A separate department has 523 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "9 %"], ["X", "38 %"], ["Y", "109 %"], ["Z", "342 %"]]}, "expected": "W"} |
| {"id": "numeric-fresh-temperature-change-009", "request": {"state": "Temperature starts at minus 45 degrees, rises by 17 degrees, and then falls by 4 degrees. The weather-station code is 666.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-24"], ["X", "58"], ["Y", "-32"], ["Z", "-66"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-010", "request": {"state": "A route contains 37 kilometers followed by 180 meters. The vehicle carries 3 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "1859/50 km"], ["X", "217 km"], ["Y", "11/200 km"], ["Z", "55 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-overnight-time-002", "request": {"state": "A job starts at 22:19 and ends at 05:40 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "501 minutes"], ["X", "441 minutes"], ["Y", "381 minutes"], ["Z", "-999 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-compare-mass-009", "request": {"state": "A parcel weighs 39000 grams. The comparison mass is 39 kilograms. Its reference number is 334.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Equal"], ["X", "Unknown"], ["Y", "Above"], ["Z", "Below"]]}, "expected": "W"} |
| {"id": "numeric-fresh-irrelevant-inventory-013", "request": {"state": "At closing, count the parts left after shipping 25 singles from 41 full cartons containing 15 each. The stockroom code is 103.", "question": "How many parts remain?", "options": [["W", "31"], ["X", "615"], ["Y", "590"], ["Z", "640"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-002", "request": {"state": "We need 485 labels. Each sealed package contains 20 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "25"], ["X", "485"], ["Y", "24"], ["Z", "20"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-009", "request": {"state": "Batch 582 uses 24 bottles of 11 milliliters each. The contents are shared equally among 5 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "582/5"], ["X", "269"], ["Y", "264/5"], ["Z", "7"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-identifier-distraction-012", "request": {"state": "Batch 797 uses 5 bottles of 28 milliliters each. The contents are shared equally among 24 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "797/24"], ["X", "11/8"], ["Y", "164"], ["Z", "35/6"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-parallel-rates-013", "request": {"state": "Pump A fills a reservoir in 37 hours alone and pump B fills it in 23 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 542.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "30 hours"], ["X", "60 hours"], ["Y", "14 hours"], ["Z", "851/60 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-017", "request": {"state": "We need 307 labels. Each sealed package contains 10 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "31"], ["X", "10"], ["Y", "30"], ["Z", "307"]]}, "expected": "W"} |
| {"id": "numeric-fresh-compare-mass-003", "request": {"state": "A parcel weighs 28950 grams. The comparison mass is 29 kilograms. Its reference number is 605.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Unknown"], ["Y", "Below"], ["Z", "Equal"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-irrelevant-inventory-017", "request": {"state": "At closing, count the parts left after shipping 47 singles from 37 full cartons containing 23 each. The stockroom code is 569.", "question": "How many parts remain?", "options": [["W", "898"], ["X", "13"], ["Y", "804"], ["Z", "851"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-irrelevant-inventory-006", "request": {"state": "At closing, count the parts left after shipping 4 singles from 27 full cartons containing 15 each. The stockroom code is 523.", "question": "How many parts remain?", "options": [["W", "405"], ["X", "401"], ["Y", "409"], ["Z", "38"]]}, "expected": "X"} |
| {"id": "numeric-fresh-whole-packages-010", "request": {"state": "We need 361 labels. Each sealed package contains 23 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "15"], ["X", "23"], ["Y", "16"], ["Z", "361"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-005", "request": {"state": "Temperature starts at minus 45 degrees, rises by 9 degrees, and then falls by 36 degrees. The weather-station code is 808.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-90"], ["X", "0"], ["Y", "-72"], ["Z", "18"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-017", "request": {"state": "A shipment contains 9 identical units. A different product costs $30 per unit. Shipping this shipment costs $41. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "9"], ["X", "Cannot determine"], ["Y", "30"], ["Z", "270"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-013", "request": {"state": "A shipment contains 5 identical units. A different product costs $23 per unit. Shipping this shipment costs $17. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "23"], ["X", "Cannot determine"], ["Y", "5"], ["Z", "115"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-005", "request": {"state": "Batch 838 uses 43 bottles of 8 milliliters each. The contents are shared equally among 26 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "51/26"], ["X", "370"], ["Y", "419/13"], ["Z", "172/13"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-irrelevant-inventory-003", "request": {"state": "At closing, count the parts left after shipping 32 singles from 30 full cartons containing 10 each. The stockroom code is 650.", "question": "How many parts remain?", "options": [["W", "332"], ["X", "268"], ["Y", "8"], ["Z", "300"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-019", "request": {"state": "A shipment contains 21 identical units. A different product costs $45 per unit. Shipping this shipment costs $12. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "Cannot determine"], ["X", "21"], ["Y", "945"], ["Z", "45"]]}, "expected": "W"} |
| {"id": "numeric-fresh-parallel-rates-017", "request": {"state": "Pump A fills a reservoir in 32 hours alone and pump B fills it in 42 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 873.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "74 hours"], ["X", "37 hours"], ["Y", "10 hours"], ["Z", "672/37 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-018", "request": {"state": "We need 611 labels. Each sealed package contains 17 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "35"], ["X", "17"], ["Y", "36"], ["Z", "611"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-011", "request": {"state": "A shipment contains 35 identical units. A different product costs $16 per unit. Shipping this shipment costs $12. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "35"], ["X", "560"], ["Y", "Cannot determine"], ["Z", "16"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-009", "request": {"state": "A shipment contains 43 identical units. A different product costs $26 per unit. Shipping this shipment costs $38. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "26"], ["X", "Cannot determine"], ["Y", "43"], ["Z", "1118"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-013", "request": {"state": "Batch 915 uses 37 bottles of 30 milliliters each. The contents are shared equally among 28 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "915/28"], ["X", "1138"], ["Y", "67/28"], ["Z", "555/14"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-017", "request": {"state": "A wallet contains 12 dollars. A purchase costs 30 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "123/10 USD"], ["X", "117/10 USD"], ["Y", "-18 USD"], ["Z", "1170 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-010", "request": {"state": "A wallet contains 33 dollars. A purchase costs 16 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "829/25 USD"], ["X", "3284 USD"], ["Y", "17 USD"], ["Z", "821/25 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-015", "request": {"state": "A wallet contains 10 dollars. A purchase costs 44 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "239/25 USD"], ["X", "956 USD"], ["Y", "261/25 USD"], ["Z", "-34 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-003", "request": {"state": "Batch 441 uses 15 bottles of 18 milliliters each. The contents are shared equally among 43 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "313"], ["X", "270/43"], ["Y", "33/43"], ["Z", "441/43"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-010", "request": {"state": "Batch 318 uses 10 bottles of 27 milliliters each. The contents are shared equally among 17 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "318/17"], ["X", "270/17"], ["Y", "287"], ["Z", "37/17"]]}, "expected": "X"} |
| {"id": "numeric-fresh-compare-mass-018", "request": {"state": "A parcel weighs 21320 grams. The comparison mass is 21 kilograms. Its reference number is 672.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Equal"], ["Y", "Unknown"], ["Z", "Below"]]}, "expected": "W"} |
| {"id": "numeric-fresh-overnight-time-011", "request": {"state": "A job starts at 22:45 and ends at 01:39 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-1266 minutes"], ["X", "114 minutes"], ["Y", "234 minutes"], ["Z", "174 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-016", "request": {"state": "A wallet contains 42 dollars. A purchase costs 33 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "4233/100 USD"], ["X", "4167 USD"], ["Y", "4167/100 USD"], ["Z", "9 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-003", "request": {"state": "Pump A fills a reservoir in 29 hours alone and pump B fills it in 39 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 388.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "68 hours"], ["X", "1131/68 hours"], ["Y", "10 hours"], ["Z", "34 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-018", "request": {"state": "A job starts at 23:38 and ends at 03:14 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "216 minutes"], ["X", "156 minutes"], ["Y", "-1224 minutes"], ["Z", "276 minutes"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-014", "request": {"state": "Batch 762 uses 22 bottles of 11 milliliters each. The contents are shared equally among 38 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "381/19"], ["X", "280"], ["Y", "33/38"], ["Z", "121/19"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-overnight-time-012", "request": {"state": "A job starts at 22:27 and ends at 03:20 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-1147 minutes"], ["X", "233 minutes"], ["Y", "353 minutes"], ["Z", "293 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-009", "request": {"state": "A wallet contains 40 dollars. A purchase costs 15 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "803/20 USD"], ["X", "3985 USD"], ["Y", "25 USD"], ["Z", "797/20 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-percentage-change-017", "request": {"state": "The old count was 4200; the new count is 4578. A separate department has 356 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "378 %"], ["X", "42 %"], ["Y", "9 %"], ["Z", "109 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-015", "request": {"state": "Temperature starts at minus 33 degrees, rises by 41 degrees, and then falls by 32 degrees. The weather-station code is 555.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-106"], ["X", "40"], ["Y", "-24"], ["Z", "42"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-001", "request": {"state": "A parcel weighs 20340 grams. The comparison mass is 20 kilograms. Its reference number is 992.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Equal"], ["Y", "Below"], ["Z", "Above"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-overnight-time-000", "request": {"state": "A job starts at 22:17 and ends at 01:54 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "217 minutes"], ["X", "277 minutes"], ["Y", "-1223 minutes"], ["Z", "157 minutes"]]}, "expected": "W"} |
| {"id": "numeric-fresh-whole-packages-014", "request": {"state": "We need 122 labels. Each sealed package contains 13 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "13"], ["X", "122"], ["Y", "9"], ["Z", "10"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-compare-mass-004", "request": {"state": "A parcel weighs 3400 grams. The comparison mass is 3 kilograms. Its reference number is 958.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Below"], ["Y", "Equal"], ["Z", "Unknown"]]}, "expected": "W"} |
| {"id": "numeric-fresh-irrelevant-inventory-002", "request": {"state": "At closing, count the parts left after shipping 28 singles from 44 full cartons containing 33 each. The stockroom code is 333.", "question": "How many parts remain?", "options": [["W", "1452"], ["X", "49"], ["Y", "1424"], ["Z", "1480"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-011", "request": {"state": "Pump A fills a reservoir in 36 hours alone and pump B fills it in 33 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 592.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "3 hours"], ["X", "69/2 hours"], ["Y", "69 hours"], ["Z", "396/23 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-missing-price-002", "request": {"state": "A shipment contains 33 identical units. A different product costs $34 per unit. Shipping this shipment costs $36. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "33"], ["X", "34"], ["Y", "Cannot determine"], ["Z", "1122"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-irrelevant-inventory-001", "request": {"state": "At closing, count the parts left after shipping 33 singles from 10 full cartons containing 4 each. The stockroom code is 864.", "question": "How many parts remain?", "options": [["W", "73"], ["X", "40"], ["Y", "-19"], ["Z", "7"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-parallel-rates-004", "request": {"state": "Pump A fills a reservoir in 24 hours alone and pump B fills it in 7 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 725.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "17 hours"], ["X", "31/2 hours"], ["Y", "31 hours"], ["Z", "168/31 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-015", "request": {"state": "The subtotal is $10.22 and tax is 3%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "511/50 USD"], ["X", "263/25 USD"], ["Y", "527/50 USD"], ["Z", "1053/100 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-003", "request": {"state": "We need 882 labels. Each sealed package contains 32 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "28"], ["X", "882"], ["Y", "32"], ["Z", "27"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-008", "request": {"state": "Batch 480 uses 26 bottles of 31 milliliters each. The contents are shared equally among 18 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "824"], ["X", "80/3"], ["Y", "403/9"], ["Z", "19/6"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-017", "request": {"state": "A job starts at 22:55 and ends at 02:32 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "277 minutes"], ["X", "157 minutes"], ["Y", "217 minutes"], ["Z", "-1223 minutes"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-money-006", "request": {"state": "A wallet contains 29 dollars. A purchase costs 8 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "727/25 USD"], ["X", "21 USD"], ["Y", "723/25 USD"], ["Z", "2892 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-identifier-distraction-019", "request": {"state": "Batch 636 uses 11 bottles of 7 milliliters each. The contents are shared equally among 10 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "318/5"], ["X", "87"], ["Y", "9/5"], ["Z", "77/10"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-003", "request": {"state": "A wallet contains 10 dollars. A purchase costs 12 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "-2 USD"], ["X", "247/25 USD"], ["Y", "988 USD"], ["Z", "253/25 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-014", "request": {"state": "A job starts at 22:16 and ends at 02:25 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "189 minutes"], ["X", "249 minutes"], ["Y", "-1191 minutes"], ["Z", "309 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-019", "request": {"state": "Temperature starts at minus 31 degrees, rises by 19 degrees, and then falls by 42 degrees. The weather-station code is 473.", "question": "After both changes, what does the thermometer read?", "options": [["W", "8"], ["X", "30"], ["Y", "-92"], ["Z", "-54"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-008", "request": {"state": "A route contains 23 kilometers followed by 320 meters. The vehicle carries 38 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "11/200 km"], ["X", "343 km"], ["Y", "583/25 km"], ["Z", "55 km"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-009", "request": {"state": "We need 592 labels. Each sealed package contains 19 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "31"], ["X", "19"], ["Y", "32"], ["Z", "592"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-005", "request": {"state": "A job starts at 23:58 and ends at 04:10 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "192 minutes"], ["X", "312 minutes"], ["Y", "-1188 minutes"], ["Z", "252 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-missing-price-008", "request": {"state": "A shipment contains 16 identical units. A different product costs $10 per unit. Shipping this shipment costs $21. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "16"], ["X", "160"], ["Y", "Cannot determine"], ["Z", "10"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-015", "request": {"state": "A shipment contains 14 identical units. A different product costs $32 per unit. Shipping this shipment costs $26. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "14"], ["X", "32"], ["Y", "448"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-irrelevant-inventory-010", "request": {"state": "At closing, count the parts left after shipping 21 singles from 42 full cartons containing 4 each. The stockroom code is 909.", "question": "How many parts remain?", "options": [["W", "189"], ["X", "147"], ["Y", "25"], ["Z", "168"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-018", "request": {"state": "Batch 284 uses 5 bottles of 36 milliliters each. The contents are shared equally among 29 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "209"], ["X", "180/29"], ["Y", "41/29"], ["Z", "284/29"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-008", "request": {"state": "A job starts at 20:56 and ends at 03:49 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "473 minutes"], ["X", "-1027 minutes"], ["Y", "353 minutes"], ["Z", "413 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-000", "request": {"state": "We need 432 labels. Each sealed package contains 20 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "432"], ["X", "22"], ["Y", "20"], ["Z", "21"]]}, "expected": "X"} |
| {"id": "numeric-fresh-compare-mass-006", "request": {"state": "A parcel weighs 21310 grams. The comparison mass is 21 kilograms. Its reference number is 803.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Equal"], ["Y", "Above"], ["Z", "Below"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-identifier-distraction-001", "request": {"state": "Batch 842 uses 42 bottles of 28 milliliters each. The contents are shared equally among 47 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "842/47"], ["X", "70/47"], ["Y", "1223"], ["Z", "1176/47"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-overnight-time-019", "request": {"state": "A job starts at 21:19 and ends at 02:45 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "326 minutes"], ["X", "386 minutes"], ["Y", "266 minutes"], ["Z", "-1114 minutes"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-money-002", "request": {"state": "A wallet contains 25 dollars. A purchase costs 13 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "2487 USD"], ["X", "2513/100 USD"], ["Y", "12 USD"], ["Z", "2487/100 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-irrelevant-inventory-014", "request": {"state": "At closing, count the parts left after shipping 16 singles from 20 full cartons containing 10 each. The stockroom code is 102.", "question": "How many parts remain?", "options": [["W", "14"], ["X", "184"], ["Y", "216"], ["Z", "200"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-008", "request": {"state": "At closing, count the parts left after shipping 29 singles from 8 full cartons containing 18 each. The stockroom code is 854.", "question": "How many parts remain?", "options": [["W", "115"], ["X", "-3"], ["Y", "144"], ["Z", "173"]]}, "expected": "W"} |
| {"id": "numeric-fresh-parallel-rates-014", "request": {"state": "Pump A fills a reservoir in 41 hours alone and pump B fills it in 3 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 116.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "22 hours"], ["X", "44 hours"], ["Y", "38 hours"], ["Z", "123/44 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-identifier-distraction-015", "request": {"state": "Batch 183 uses 11 bottles of 44 milliliters each. The contents are shared equally among 14 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "55/14"], ["X", "242/7"], ["Y", "498"], ["Z", "183/14"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-012", "request": {"state": "At closing, count the parts left after shipping 5 singles from 46 full cartons containing 37 each. The stockroom code is 352.", "question": "How many parts remain?", "options": [["W", "1707"], ["X", "1702"], ["Y", "1697"], ["Z", "78"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-007", "request": {"state": "The subtotal is $40.34 and tax is 37%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "2017/50 USD"], ["X", "2763/50 USD"], ["Y", "5527/100 USD"], ["Z", "1382/25 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-003", "request": {"state": "A job starts at 21:10 and ends at 04:21 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "371 minutes"], ["X", "431 minutes"], ["Y", "-1009 minutes"], ["Z", "491 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-015", "request": {"state": "A job starts at 23:33 and ends at 05:40 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "367 minutes"], ["X", "427 minutes"], ["Y", "-1073 minutes"], ["Z", "307 minutes"]]}, "expected": "W"} |
| {"id": "numeric-fresh-overnight-time-009", "request": {"state": "A job starts at 23:24 and ends at 05:48 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "324 minutes"], ["X", "384 minutes"], ["Y", "444 minutes"], ["Z", "-1056 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-compare-mass-019", "request": {"state": "A parcel weighs 27340 grams. The comparison mass is 27 kilograms. Its reference number is 641.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Below"], ["X", "Equal"], ["Y", "Above"], ["Z", "Unknown"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-013", "request": {"state": "A job starts at 20:44 and ends at 03:31 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "467 minutes"], ["X", "-1033 minutes"], ["Y", "407 minutes"], ["Z", "347 minutes"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-003", "request": {"state": "A route contains 42 kilometers followed by 390 meters. The vehicle carries 8 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "81/1000 km"], ["X", "4239/100 km"], ["Y", "432 km"], ["Z", "81 km"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-012", "request": {"state": "A shipment contains 26 identical units. A different product costs $28 per unit. Shipping this shipment costs $9. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "728"], ["X", "28"], ["Y", "26"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-compare-mass-007", "request": {"state": "A parcel weighs 24770 grams. The comparison mass is 25 kilograms. Its reference number is 806.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Equal"], ["X", "Above"], ["Y", "Unknown"], ["Z", "Below"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-009", "request": {"state": "The subtotal is $46.21 and tax is 36%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1571/25 USD"], ["X", "1257/20 USD"], ["Y", "3143/50 USD"], ["Z", "4621/100 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-014", "request": {"state": "Temperature starts at minus 5 degrees, rises by 9 degrees, and then falls by 7 degrees. The weather-station code is 281.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-3"], ["X", "11"], ["Y", "7"], ["Z", "-21"]]}, "expected": "W"} |
| {"id": "numeric-fresh-percentage-change-008", "request": {"state": "The old count was 1100; the new count is 1265. A separate department has 213 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "115 %"], ["X", "15 %"], ["Y", "165 %"], ["Z", "11 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-001", "request": {"state": "A shipment contains 34 identical units. A different product costs $29 per unit. Shipping this shipment costs $16. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "Cannot determine"], ["X", "29"], ["Y", "34"], ["Z", "986"]]}, "expected": "W"} |
| {"id": "numeric-fresh-overnight-time-001", "request": {"state": "A job starts at 20:31 and ends at 05:39 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-892 minutes"], ["X", "548 minutes"], ["Y", "608 minutes"], ["Z", "488 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-whole-packages-008", "request": {"state": "We need 248 labels. Each sealed package contains 9 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "248"], ["X", "27"], ["Y", "28"], ["Z", "9"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-018", "request": {"state": "The old count was 1500; the new count is 2190. A separate department has 119 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "46 %"], ["X", "690 %"], ["Y", "146 %"], ["Z", "15 %"]]}, "expected": "W"} |
| {"id": "numeric-fresh-percentage-change-013", "request": {"state": "The old count was 4300; the new count is 5117. A separate department has 553 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "19 %"], ["X", "43 %"], ["Y", "119 %"], ["Z", "817 %"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-money-019", "request": {"state": "A wallet contains 27 dollars. A purchase costs 13 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "14 USD"], ["X", "2687/100 USD"], ["Y", "2713/100 USD"], ["Z", "2687 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-parallel-rates-015", "request": {"state": "Pump A fills a reservoir in 31 hours alone and pump B fills it in 8 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 183.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "39 hours"], ["X", "23 hours"], ["Y", "248/39 hours"], ["Z", "39/2 hours"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-017", "request": {"state": "A route contains 42 kilometers followed by 470 meters. The vehicle carries 21 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "512 km"], ["X", "89/1000 km"], ["Y", "4247/100 km"], ["Z", "89 km"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-money-008", "request": {"state": "A wallet contains 27 dollars. A purchase costs 8 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "2692 USD"], ["X", "677/25 USD"], ["Y", "673/25 USD"], ["Z", "19 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-013", "request": {"state": "We need 497 labels. Each sealed package contains 34 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "34"], ["X", "497"], ["Y", "14"], ["Z", "15"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-irrelevant-inventory-000", "request": {"state": "At closing, count the parts left after shipping 16 singles from 24 full cartons containing 3 each. The stockroom code is 283.", "question": "How many parts remain?", "options": [["W", "72"], ["X", "11"], ["Y", "88"], ["Z", "56"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-007", "request": {"state": "A route contains 30 kilometers followed by 420 meters. The vehicle carries 43 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "450 km"], ["X", "9/125 km"], ["Y", "72 km"], ["Z", "1521/50 km"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-temperature-change-000", "request": {"state": "Temperature starts at minus 11 degrees, rises by 12 degrees, and then falls by 18 degrees. The weather-station code is 629.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-17"], ["X", "19"], ["Y", "-41"], ["Z", "5"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-money-018", "request": {"state": "A wallet contains 13 dollars. A purchase costs 21 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "1279/100 USD"], ["X", "1279 USD"], ["Y", "1321/100 USD"], ["Z", "-8 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-compare-mass-014", "request": {"state": "A parcel weighs 33000 grams. The comparison mass is 33 kilograms. Its reference number is 835.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Above"], ["Y", "Below"], ["Z", "Equal"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-001", "request": {"state": "The subtotal is $11.47 and tax is 21%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1147/100 USD"], ["X", "347/25 USD"], ["Y", "1387/100 USD"], ["Z", "1389/100 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-000", "request": {"state": "A wallet contains 9 dollars. A purchase costs 5 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "4 USD"], ["X", "179/20 USD"], ["Y", "181/20 USD"], ["Z", "895 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-013", "request": {"state": "Temperature starts at minus 43 degrees, rises by 34 degrees, and then falls by 11 degrees. The weather-station code is 275.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-88"], ["X", "66"], ["Y", "-20"], ["Z", "2"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-017", "request": {"state": "The subtotal is $18.47 and tax is 16%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1071/50 USD"], ["X", "536/25 USD"], ["Y", "1847/100 USD"], ["Z", "2143/100 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-006", "request": {"state": "The subtotal is $33.06 and tax is 11%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "367/10 USD"], ["X", "3671/100 USD"], ["Y", "3669/100 USD"], ["Z", "1653/50 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-round-currency-002", "request": {"state": "The subtotal is $33.42 and tax is 11%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1671/50 USD"], ["X", "3711/100 USD"], ["Y", "3709/100 USD"], ["Z", "371/10 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-019", "request": {"state": "A route contains 27 kilometers followed by 290 meters. The vehicle carries 37 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "2729/100 km"], ["X", "7/125 km"], ["Y", "56 km"], ["Z", "317 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-round-currency-010", "request": {"state": "The subtotal is $7.17 and tax is 20%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "859/100 USD"], ["X", "717/100 USD"], ["Y", "861/100 USD"], ["Z", "43/5 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-missing-price-003", "request": {"state": "A shipment contains 28 identical units. A different product costs $40 per unit. Shipping this shipment costs $21. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "1120"], ["X", "28"], ["Y", "Cannot determine"], ["Z", "40"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-000", "request": {"state": "A parcel weighs 32440 grams. The comparison mass is 32 kilograms. Its reference number is 450.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Below"], ["X", "Above"], ["Y", "Unknown"], ["Z", "Equal"]]}, "expected": "X"} |
| {"id": "numeric-fresh-round-currency-003", "request": {"state": "The subtotal is $19.35 and tax is 15%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "387/20 USD"], ["X", "1113/50 USD"], ["Y", "89/4 USD"], ["Z", "556/25 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-018", "request": {"state": "Temperature starts at minus 34 degrees, rises by 5 degrees, and then falls by 17 degrees. The weather-station code is 746.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-12"], ["X", "-46"], ["Y", "22"], ["Z", "-56"]]}, "expected": "X"} |
| {"id": "numeric-fresh-compare-mass-017", "request": {"state": "A parcel weighs 47220 grams. The comparison mass is 47 kilograms. Its reference number is 283.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Equal"], ["X", "Below"], ["Y", "Unknown"], ["Z", "Above"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-parallel-rates-012", "request": {"state": "Pump A fills a reservoir in 37 hours alone and pump B fills it in 43 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 754.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "6 hours"], ["X", "40 hours"], ["Y", "1591/80 hours"], ["Z", "80 hours"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-011", "request": {"state": "A parcel weighs 19460 grams. The comparison mass is 19 kilograms. Its reference number is 671.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Unknown"], ["Y", "Equal"], ["Z", "Below"]]}, "expected": "W"} |
| {"id": "numeric-fresh-percentage-change-019", "request": {"state": "The old count was 3500; the new count is 3955. A separate department has 210 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "13 %"], ["X", "35 %"], ["Y", "113 %"], ["Z", "455 %"]]}, "expected": "W"} |
| {"id": "numeric-fresh-compare-mass-002", "request": {"state": "A parcel weighs 9840 grams. The comparison mass is 10 kilograms. Its reference number is 479.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Below"], ["X", "Above"], ["Y", "Unknown"], ["Z", "Equal"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-000", "request": {"state": "Batch 415 uses 46 bottles of 27 milliliters each. The contents are shared equally among 21 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "73/21"], ["X", "415/21"], ["Y", "414/7"], ["Z", "1263"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-temperature-change-003", "request": {"state": "Temperature starts at minus 4 degrees, rises by 31 degrees, and then falls by 41 degrees. The weather-station code is 293.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-6"], ["X", "-76"], ["Y", "68"], ["Z", "-14"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-000", "request": {"state": "A route contains 33 kilometers followed by 360 meters. The vehicle carries 11 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "69 km"], ["X", "69/1000 km"], ["Y", "834/25 km"], ["Z", "393 km"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-007", "request": {"state": "The old count was 3900; the new count is 4719. A separate department has 639 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "39 %"], ["X", "819 %"], ["Y", "21 %"], ["Z", "121 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-010", "request": {"state": "A shipment contains 12 identical units. A different product costs $18 per unit. Shipping this shipment costs $32. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "18"], ["X", "216"], ["Y", "12"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-identifier-distraction-006", "request": {"state": "Batch 313 uses 11 bottles of 9 milliliters each. The contents are shared equally among 23 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "99/23"], ["X", "122"], ["Y", "20/23"], ["Z", "313/23"]]}, "expected": "W"} |
| {"id": "numeric-fresh-temperature-change-002", "request": {"state": "Temperature starts at minus 33 degrees, rises by 32 degrees, and then falls by 4 degrees. The weather-station code is 789.", "question": "After both changes, what does the thermometer read?", "options": [["W", "3"], ["X", "-5"], ["Y", "61"], ["Z", "-69"]]}, "expected": "X"} |
| {"id": "numeric-fresh-identifier-distraction-002", "request": {"state": "Batch 281 uses 37 bottles of 45 milliliters each. The contents are shared equally among 16 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "281/16"], ["X", "1681"], ["Y", "41/8"], ["Z", "1665/16"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-007", "request": {"state": "We need 919 labels. Each sealed package contains 45 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "20"], ["X", "919"], ["Y", "21"], ["Z", "45"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-016", "request": {"state": "A job starts at 21:56 and ends at 02:32 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-1164 minutes"], ["X", "336 minutes"], ["Y", "216 minutes"], ["Z", "276 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-012", "request": {"state": "We need 214 labels. Each sealed package contains 6 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "35"], ["X", "36"], ["Y", "6"], ["Z", "214"]]}, "expected": "X"} |
| {"id": "numeric-fresh-parallel-rates-001", "request": {"state": "Pump A fills a reservoir in 26 hours alone and pump B fills it in 32 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 860.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "6 hours"], ["X", "416/29 hours"], ["Y", "29 hours"], ["Z", "58 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-percentage-change-003", "request": {"state": "The old count was 1000; the new count is 1320. A separate department has 584 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "320 %"], ["X", "32 %"], ["Y", "10 %"], ["Z", "132 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-007", "request": {"state": "A job starts at 21:13 and ends at 05:21 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-952 minutes"], ["X", "428 minutes"], ["Y", "548 minutes"], ["Z", "488 minutes"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-percentage-change-000", "request": {"state": "The old count was 3500; the new count is 4130. A separate department has 276 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "630 %"], ["X", "18 %"], ["Y", "35 %"], ["Z", "118 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-005", "request": {"state": "A wallet contains 6 dollars. A purchase costs 17 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "583 USD"], ["X", "583/100 USD"], ["Y", "-11 USD"], ["Z", "617/100 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-percentage-change-004", "request": {"state": "The old count was 3700; the new count is 3996. A separate department has 340 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "108 %"], ["X", "296 %"], ["Y", "8 %"], ["Z", "37 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-011", "request": {"state": "The old count was 500; the new count is 710. A separate department has 224 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "5 %"], ["X", "42 %"], ["Y", "210 %"], ["Z", "142 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-round-currency-013", "request": {"state": "The subtotal is $22.35 and tax is 32%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "447/20 USD"], ["X", "59/2 USD"], ["Y", "2951/100 USD"], ["Z", "2949/100 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-000", "request": {"state": "A shipment contains 8 identical units. A different product costs $5 per unit. Shipping this shipment costs $25. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "5"], ["X", "8"], ["Y", "Cannot determine"], ["Z", "40"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-overnight-time-006", "request": {"state": "A job starts at 20:43 and ends at 01:37 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "-1146 minutes"], ["X", "234 minutes"], ["Y", "294 minutes"], ["Z", "354 minutes"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-percentage-change-009", "request": {"state": "The old count was 2400; the new count is 2568. A separate department has 970 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "168 %"], ["X", "24 %"], ["Y", "7 %"], ["Z", "107 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-015", "request": {"state": "A parcel weighs 44590 grams. The comparison mass is 45 kilograms. Its reference number is 504.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Equal"], ["X", "Above"], ["Y", "Below"], ["Z", "Unknown"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-015", "request": {"state": "A route contains 31 kilometers followed by 100 meters. The vehicle carries 44 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "311/10 km"], ["X", "41/1000 km"], ["Y", "131 km"], ["Z", "41 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-compare-mass-005", "request": {"state": "A parcel weighs 17000 grams. The comparison mass is 17 kilograms. Its reference number is 785.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Unknown"], ["X", "Below"], ["Y", "Equal"], ["Z", "Above"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-compare-mass-016", "request": {"state": "A parcel weighs 41190 grams. The comparison mass is 41 kilograms. Its reference number is 225.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Below"], ["Y", "Equal"], ["Z", "Unknown"]]}, "expected": "W"} |
| {"id": "numeric-fresh-parallel-rates-005", "request": {"state": "Pump A fills a reservoir in 40 hours alone and pump B fills it in 44 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 773.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "84 hours"], ["X", "440/21 hours"], ["Y", "42 hours"], ["Z", "4 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-015", "request": {"state": "At closing, count the parts left after shipping 41 singles from 44 full cartons containing 47 each. The stockroom code is 153.", "question": "How many parts remain?", "options": [["W", "2068"], ["X", "2109"], ["Y", "50"], ["Z", "2027"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-008", "request": {"state": "The subtotal is $38.41 and tax is 25%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "4801/100 USD"], ["X", "2401/50 USD"], ["Y", "3841/100 USD"], ["Z", "48 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-compare-mass-013", "request": {"state": "A parcel weighs 8770 grams. The comparison mass is 9 kilograms. Its reference number is 853.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Above"], ["X", "Unknown"], ["Y", "Below"], ["Z", "Equal"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-015", "request": {"state": "We need 602 labels. Each sealed package contains 20 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "31"], ["X", "30"], ["Y", "602"], ["Z", "20"]]}, "expected": "W"} |
| {"id": "numeric-fresh-identifier-distraction-016", "request": {"state": "Batch 363 uses 46 bottles of 32 milliliters each. The contents are shared equally among 24 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "13/4"], ["X", "184/3"], ["Y", "121/8"], ["Z", "1496"]]}, "expected": "X"} |
| {"id": "numeric-fresh-percentage-change-005", "request": {"state": "The old count was 3300; the new count is 3729. A separate department has 478 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "113 %"], ["X", "429 %"], ["Y", "13 %"], ["Z", "33 %"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-014", "request": {"state": "The subtotal is $22.16 and tax is 41%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1563/50 USD"], ["X", "125/4 USD"], ["Y", "781/25 USD"], ["Z", "554/25 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-overnight-time-004", "request": {"state": "A job starts at 22:01 and ends at 02:15 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "314 minutes"], ["X", "194 minutes"], ["Y", "254 minutes"], ["Z", "-1186 minutes"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-004", "request": {"state": "The subtotal is $9.38 and tax is 3%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "193/20 USD"], ["X", "483/50 USD"], ["Y", "967/100 USD"], ["Z", "469/50 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-005", "request": {"state": "At closing, count the parts left after shipping 4 singles from 38 full cartons containing 15 each. The stockroom code is 611.", "question": "How many parts remain?", "options": [["W", "570"], ["X", "49"], ["Y", "566"], ["Z", "574"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-004", "request": {"state": "We need 1724 labels. Each sealed package contains 40 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "40"], ["X", "1724"], ["Y", "44"], ["Z", "43"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-parallel-rates-007", "request": {"state": "Pump A fills a reservoir in 26 hours alone and pump B fills it in 3 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 282.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "29 hours"], ["X", "23 hours"], ["Y", "29/2 hours"], ["Z", "78/29 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-018", "request": {"state": "A route contains 28 kilometers followed by 150 meters. The vehicle carries 29 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "43 km"], ["X", "43/1000 km"], ["Y", "178 km"], ["Z", "563/20 km"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-temperature-change-006", "request": {"state": "Temperature starts at minus 16 degrees, rises by 39 degrees, and then falls by 34 degrees. The weather-station code is 343.", "question": "After both changes, what does the thermometer read?", "options": [["W", "57"], ["X", "21"], ["Y", "-89"], ["Z", "-11"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-identifier-distraction-004", "request": {"state": "Batch 109 uses 18 bottles of 43 milliliters each. The contents are shared equally among 40 cups.", "question": "What volume does one cup receive, in milliliters?", "options": [["W", "61/40"], ["X", "814"], ["Y", "109/40"], ["Z", "387/20"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-012", "request": {"state": "A wallet contains 14 dollars. A purchase costs 6 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "697/50 USD"], ["X", "703/50 USD"], ["Y", "1394 USD"], ["Z", "8 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-temperature-change-008", "request": {"state": "Temperature starts at minus 8 degrees, rises by 29 degrees, and then falls by 26 degrees. The weather-station code is 270.", "question": "After both changes, what does the thermometer read?", "options": [["W", "47"], ["X", "-5"], ["Y", "11"], ["Z", "-63"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-010", "request": {"state": "Temperature starts at minus 5 degrees, rises by 35 degrees, and then falls by 9 degrees. The weather-station code is 898.", "question": "After both changes, what does the thermometer read?", "options": [["W", "39"], ["X", "21"], ["Y", "-49"], ["Z", "31"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-004", "request": {"state": "Temperature starts at minus 7 degrees, rises by 11 degrees, and then falls by 18 degrees. The weather-station code is 598.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-36"], ["X", "22"], ["Y", "-14"], ["Z", "0"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-018", "request": {"state": "A shipment contains 27 identical units. A different product costs $3 per unit. Shipping this shipment costs $29. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "Cannot determine"], ["X", "27"], ["Y", "81"], ["Z", "3"]]}, "expected": "W"} |
| {"id": "numeric-fresh-whole-packages-001", "request": {"state": "We need 1286 labels. Each sealed package contains 42 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "42"], ["X", "1286"], ["Y", "30"], ["Z", "31"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-compare-mass-008", "request": {"state": "A parcel weighs 12940 grams. The comparison mass is 13 kilograms. Its reference number is 799.", "question": "Which relation describes the measured mass relative to the comparison mass?", "options": [["W", "Equal"], ["X", "Above"], ["Y", "Below"], ["Z", "Unknown"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-016", "request": {"state": "A route contains 46 kilometers followed by 410 meters. The vehicle carries 30 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "456 km"], ["X", "87/1000 km"], ["Y", "87 km"], ["Z", "4641/100 km"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-016", "request": {"state": "We need 731 labels. Each sealed package contains 34 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "22"], ["X", "21"], ["Y", "34"], ["Z", "731"]]}, "expected": "W"} |
| {"id": "numeric-fresh-irrelevant-inventory-018", "request": {"state": "At closing, count the parts left after shipping 28 singles from 10 full cartons containing 4 each. The stockroom code is 773.", "question": "How many parts remain?", "options": [["W", "-14"], ["X", "12"], ["Y", "40"], ["Z", "68"]]}, "expected": "X"} |
| {"id": "numeric-fresh-round-currency-012", "request": {"state": "The subtotal is $3.10 and tax is 35%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "419/100 USD"], ["X", "209/50 USD"], ["Y", "31/10 USD"], ["Z", "21/5 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-overnight-time-010", "request": {"state": "A job starts at 23:15 and ends at 02:49 the following day. Both times use the same timezone with no clock changes.", "question": "What is the total runtime, measured in minutes?", "options": [["W", "154 minutes"], ["X", "214 minutes"], ["Y", "-1226 minutes"], ["Z", "274 minutes"]]}, "expected": "X"} |
| {"id": "numeric-fresh-parallel-rates-016", "request": {"state": "Pump A fills a reservoir in 33 hours alone and pump B fills it in 34 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 836.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "67/2 hours"], ["X", "1122/67 hours"], ["Y", "1 hours"], ["Z", "67 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-001", "request": {"state": "A wallet contains 29 dollars. A purchase costs 38 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "2862 USD"], ["X", "-9 USD"], ["Y", "1431/50 USD"], ["Z", "1469/50 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-018", "request": {"state": "The subtotal is $15.47 and tax is 25%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1933/100 USD"], ["X", "1547/100 USD"], ["Y", "967/50 USD"], ["Z", "387/20 USD"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-whole-packages-019", "request": {"state": "We need 388 labels. Each sealed package contains 25 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "15"], ["X", "25"], ["Y", "388"], ["Z", "16"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-whole-packages-011", "request": {"state": "We need 743 labels. Each sealed package contains 29 labels. Only whole packages can be bought; unused labels are allowed.", "question": "Choose the minimum purchase quantity in whole packages.", "options": [["W", "25"], ["X", "26"], ["Y", "743"], ["Z", "29"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-009", "request": {"state": "At closing, count the parts left after shipping 22 singles from 17 full cartons containing 19 each. The stockroom code is 994.", "question": "How many parts remain?", "options": [["W", "323"], ["X", "14"], ["Y", "345"], ["Z", "301"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-014", "request": {"state": "A wallet contains 44 dollars. A purchase costs 14 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "4386 USD"], ["X", "2193/50 USD"], ["Y", "30 USD"], ["Z", "2207/50 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-011", "request": {"state": "At closing, count the parts left after shipping 9 singles from 26 full cartons containing 47 each. The stockroom code is 216.", "question": "How many parts remain?", "options": [["W", "1222"], ["X", "1213"], ["Y", "64"], ["Z", "1231"]]}, "expected": "X"} |
| {"id": "numeric-fresh-percentage-change-010", "request": {"state": "The old count was 900; the new count is 1323. A separate department has 339 units.", "question": "Calculate the percentage growth from the old count to the new count.", "options": [["W", "9 %"], ["X", "47 %"], ["Y", "147 %"], ["Z", "423 %"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-013", "request": {"state": "A wallet contains 12 dollars. A purchase costs 25 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "1175 USD"], ["X", "47/4 USD"], ["Y", "-13 USD"], ["Z", "49/4 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-012", "request": {"state": "Temperature starts at minus 38 degrees, rises by 3 degrees, and then falls by 34 degrees. The weather-station code is 385.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-69"], ["X", "7"], ["Y", "-75"], ["Z", "-1"]]}, "expected": "W"} |
| {"id": "numeric-fresh-parallel-rates-010", "request": {"state": "Pump A fills a reservoir in 21 hours alone and pump B fills it in 43 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 313.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "32 hours"], ["X", "903/64 hours"], ["Y", "22 hours"], ["Z", "64 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-missing-price-007", "request": {"state": "A shipment contains 9 identical units. A different product costs $39 per unit. Shipping this shipment costs $4. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "Cannot determine"], ["X", "39"], ["Y", "351"], ["Z", "9"]]}, "expected": "W"} |
| {"id": "numeric-fresh-temperature-change-011", "request": {"state": "Temperature starts at minus 3 degrees, rises by 27 degrees, and then falls by 37 degrees. The weather-station code is 313.", "question": "After both changes, what does the thermometer read?", "options": [["W", "61"], ["X", "-7"], ["Y", "-67"], ["Z", "-13"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-parallel-rates-018", "request": {"state": "Pump A fills a reservoir in 43 hours alone and pump B fills it in 28 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 630.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "71 hours"], ["X", "15 hours"], ["Y", "71/2 hours"], ["Z", "1204/71 hours"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-missing-price-014", "request": {"state": "A shipment contains 3 identical units. A different product costs $36 per unit. Shipping this shipment costs $5. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "Cannot determine"], ["X", "108"], ["Y", "36"], ["Z", "3"]]}, "expected": "W"} |
| {"id": "numeric-fresh-temperature-change-016", "request": {"state": "Temperature starts at minus 20 degrees, rises by 8 degrees, and then falls by 43 degrees. The weather-station code is 132.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-71"], ["X", "31"], ["Y", "-55"], ["Z", "-15"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-mixed-distance-011", "request": {"state": "A route contains 46 kilometers followed by 290 meters. The vehicle carries 22 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "4629/100 km"], ["X", "75 km"], ["Y", "336 km"], ["Z", "3/40 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-distance-001", "request": {"state": "A route contains 43 kilometers followed by 300 meters. The vehicle carries 37 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "73 km"], ["X", "433/10 km"], ["Y", "343 km"], ["Z", "73/1000 km"]]}, "expected": "X"} |
| {"id": "numeric-fresh-irrelevant-inventory-016", "request": {"state": "At closing, count the parts left after shipping 39 singles from 35 full cartons containing 27 each. The stockroom code is 423.", "question": "How many parts remain?", "options": [["W", "23"], ["X", "945"], ["Y", "984"], ["Z", "906"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-round-currency-005", "request": {"state": "The subtotal is $10.19 and tax is 24%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "253/20 USD"], ["X", "1263/100 USD"], ["Y", "1019/100 USD"], ["Z", "316/25 USD"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-distance-014", "request": {"state": "A route contains 44 kilometers followed by 270 meters. The vehicle carries 34 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "4427/100 km"], ["X", "314 km"], ["Y", "71/1000 km"], ["Z", "71 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-distance-006", "request": {"state": "A route contains 31 kilometers followed by 90 meters. The vehicle carries 37 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "3109/100 km"], ["X", "121 km"], ["Y", "1/25 km"], ["Z", "40 km"]]}, "expected": "W"} |
| {"id": "numeric-fresh-parallel-rates-009", "request": {"state": "Pump A fills a reservoir in 46 hours alone and pump B fills it in 13 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 315.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "33 hours"], ["X", "598/59 hours"], ["Y", "59 hours"], ["Z", "59/2 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-parallel-rates-019", "request": {"state": "Pump A fills a reservoir in 9 hours alone and pump B fills it in 8 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 504.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "17/2 hours"], ["X", "72/17 hours"], ["Y", "1 hours"], ["Z", "17 hours"]]}, "expected": "X"} |
| {"id": "numeric-fresh-mixed-money-004", "request": {"state": "A wallet contains 33 dollars. A purchase costs 18 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "1641/50 USD"], ["X", "1659/50 USD"], ["Y", "3282 USD"], ["Z", "15 USD"]]}, "expected": "W"} |
| {"id": "numeric-fresh-mixed-distance-009", "request": {"state": "A route contains 11 kilometers followed by 230 meters. The vehicle carries 3 passengers.", "question": "How far does the vehicle travel altogether, measured in kilometers?", "options": [["W", "17/500 km"], ["X", "34 km"], ["Y", "241 km"], ["Z", "1123/100 km"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-parallel-rates-006", "request": {"state": "Pump A fills a reservoir in 47 hours alone and pump B fills it in 43 hours alone. Both have constant rates and run together from empty. The reservoir has inspection ID 574.", "question": "What elapsed time in hours is required when both operate?", "options": [["W", "4 hours"], ["X", "90 hours"], ["Y", "2021/90 hours"], ["Z", "45 hours"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-round-currency-000", "request": {"state": "The subtotal is $14.10 and tax is 38%. Round the final total to the nearest cent, with exact half-cent ties rounded upward.", "question": "Give the final bill in USD, rounded as specified.", "options": [["W", "1947/100 USD"], ["X", "973/50 USD"], ["Y", "389/20 USD"], ["Z", "141/10 USD"]]}, "expected": "X"} |
| {"id": "numeric-fresh-temperature-change-017", "request": {"state": "Temperature starts at minus 23 degrees, rises by 45 degrees, and then falls by 10 degrees. The weather-station code is 157.", "question": "After both changes, what does the thermometer read?", "options": [["W", "-78"], ["X", "58"], ["Y", "12"], ["Z", "32"]]}, "expected": "Y"} |
| {"id": "numeric-fresh-missing-price-005", "request": {"state": "A shipment contains 10 identical units. A different product costs $19 per unit. Shipping this shipment costs $24. No unit price for the shipped product is supplied.", "question": "How much do the shipped items cost before adding transport?", "options": [["W", "190"], ["X", "19"], ["Y", "10"], ["Z", "Cannot determine"]]}, "expected": "Z"} |
| {"id": "numeric-fresh-mixed-money-007", "request": {"state": "A wallet contains 40 dollars. A purchase costs 20 cents. There are no fees or other transactions.", "question": "What is the remaining balance in USD?", "options": [["W", "201/5 USD"], ["X", "20 USD"], ["Y", "199/5 USD"], ["Z", "3980 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-009", "request": {"state": "A listed price of $600 gets a 15% discount. A further 18% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "600 USD"], ["X", "402 USD"], ["Y", "510 USD"], ["Z", "2091/5 USD"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-tiered-charge-011", "request": {"state": "The first 22 units cost $20 each; additional units cost $22 each. A customer buys 53 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1122 USD"], ["X", "471 USD"], ["Y", "1060 USD"], ["Z", "1166 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-successive-discounts-005", "request": {"state": "A listed price of $1500 gets a 16% discount. A further 13% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "5481/5 USD"], ["X", "1065 USD"], ["Y", "1260 USD"], ["Z", "1500 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-successive-discounts-000", "request": {"state": "A listed price of $4300 gets a 46% discount. A further 4% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "55728/25 USD"], ["X", "2150 USD"], ["Y", "2322 USD"], ["Z", "4300 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-tiered-charge-010", "request": {"state": "The first 36 units cost $43 each; additional units cost $45 each. A customer buys 83 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "3735 USD"], ["X", "1595 USD"], ["Y", "3663 USD"], ["Z", "3569 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-003", "request": {"state": "A listed price of $2900 gets a 16% discount. A further 18% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "2900 USD"], ["X", "49938/25 USD"], ["Y", "2436 USD"], ["Z", "1914 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-production-yield-011", "request": {"state": "A factory makes 4700 pieces. Exactly 30 lots each have 14 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "4686"], ["X", "4670"], ["Y", "4280"], ["Z", "4656"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-011", "request": {"state": "A listed price of $1800 gets a 29% discount. A further 6% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "1170 USD"], ["X", "30033/25 USD"], ["Y", "1278 USD"], ["Z", "1800 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-tiered-charge-000", "request": {"state": "The first 17 units cost $18 each; additional units cost $20 each. A customer buys 50 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "966 USD"], ["X", "339 USD"], ["Y", "900 USD"], ["Z", "1000 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-missing-average-007", "request": {"state": "After one new observation, 14 observations have mean 11. Before adding it, the 13 observations had mean 36.", "question": "What is the numerical value of the new observation?", "options": [["W", "25"], ["X", "118"], ["Y", "-314"], ["Z", "-25"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-tiered-charge-012", "request": {"state": "The first 27 units cost $10 each; additional units cost $12 each. A customer buys 60 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "303 USD"], ["X", "600 USD"], ["Y", "720 USD"], ["Z", "666 USD"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-successive-discounts-001", "request": {"state": "A listed price of $3700 gets a 10% discount. A further 36% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "1998 USD"], ["X", "10656/5 USD"], ["Y", "3330 USD"], ["Z", "3700 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-production-yield-006", "request": {"state": "A factory makes 4300 pieces. Exactly 13 lots each have 5 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "4287"], ["X", "4295"], ["Y", "4235"], ["Z", "4282"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-006", "request": {"state": "After one new observation, 10 observations have mean 14. Before adding it, the 9 observations had mean 11.", "question": "What is the numerical value of the new observation?", "options": [["W", "41"], ["X", "129"], ["Y", "3"], ["Z", "-3"]]}, "expected": "W"} |
| {"id": "numeric-unseen-missing-average-000", "request": {"state": "After one new observation, 11 observations have mean 34. Before adding it, the 10 observations had mean 41.", "question": "What is the numerical value of the new observation?", "options": [["W", "-36"], ["X", "333"], ["Y", "-7"], ["Z", "7"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-008", "request": {"state": "A factory makes 2200 pieces. Exactly 34 lots each have 31 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1146"], ["X", "2135"], ["Y", "2166"], ["Z", "2169"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-012", "request": {"state": "A factory makes 2000 pieces. Exactly 10 lots each have 46 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1990"], ["X", "1954"], ["Y", "1540"], ["Z", "1944"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-011", "request": {"state": "After one new observation, 32 observations have mean 4. Before adding it, the 31 observations had mean 32.", "question": "What is the numerical value of the new observation?", "options": [["W", "28"], ["X", "-864"], ["Y", "96"], ["Z", "-28"]]}, "expected": "X"} |
| {"id": "numeric-unseen-missing-average-012", "request": {"state": "After one new observation, 24 observations have mean 38. Before adding it, the 23 observations had mean 31.", "question": "What is the numerical value of the new observation?", "options": [["W", "-7"], ["X", "7"], ["Y", "199"], ["Z", "881"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-012", "request": {"state": "A listed price of $400 gets a 47% discount. A further 25% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "159 USD"], ["X", "400 USD"], ["Y", "212 USD"], ["Z", "112 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-tiered-charge-003", "request": {"state": "The first 10 units cost $21 each; additional units cost $23 each. A customer buys 57 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "257 USD"], ["X", "1291 USD"], ["Y", "1197 USD"], ["Z", "1311 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-missing-average-005", "request": {"state": "After one new observation, 11 observations have mean 16. Before adding it, the 10 observations had mean 17.", "question": "What is the numerical value of the new observation?", "options": [["W", "6"], ["X", "1"], ["Y", "159"], ["Z", "-1"]]}, "expected": "W"} |
| {"id": "numeric-unseen-missing-average-014", "request": {"state": "After one new observation, 19 observations have mean 29. Before adding it, the 18 observations had mean 38.", "question": "What is the numerical value of the new observation?", "options": [["W", "513"], ["X", "-133"], ["Y", "9"], ["Z", "-9"]]}, "expected": "X"} |
| {"id": "numeric-unseen-tiered-charge-008", "request": {"state": "The first 4 units cost $34 each; additional units cost $36 each. A customer buys 13 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "460 USD"], ["X", "468 USD"], ["Y", "145 USD"], ["Z", "442 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-tiered-charge-009", "request": {"state": "The first 34 units cost $10 each; additional units cost $12 each. A customer buys 47 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "564 USD"], ["X", "353 USD"], ["Y", "496 USD"], ["Z", "470 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-004", "request": {"state": "After one new observation, 15 observations have mean 10. Before adding it, the 14 observations had mean 12.", "question": "What is the numerical value of the new observation?", "options": [["W", "-2"], ["X", "138"], ["Y", "-18"], ["Z", "2"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-tiered-charge-001", "request": {"state": "The first 11 units cost $39 each; additional units cost $41 each. A customer buys 48 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1946 USD"], ["X", "1968 USD"], ["Y", "466 USD"], ["Z", "1872 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-004", "request": {"state": "A factory makes 400 pieces. Exactly 3 lots each have 47 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "397"], ["X", "350"], ["Y", "353"], ["Z", "259"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-tiered-charge-004", "request": {"state": "The first 34 units cost $43 each; additional units cost $45 each. A customer buys 39 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1755 USD"], ["X", "1677 USD"], ["Y", "1467 USD"], ["Z", "1687 USD"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-production-yield-002", "request": {"state": "A factory makes 1800 pieces. Exactly 8 lots each have 42 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1464"], ["X", "1758"], ["Y", "1792"], ["Z", "1750"]]}, "expected": "W"} |
| {"id": "numeric-unseen-tiered-charge-007", "request": {"state": "The first 35 units cost $41 each; additional units cost $43 each. A customer buys 82 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "3526 USD"], ["X", "3456 USD"], ["Y", "1482 USD"], ["Z", "3362 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-successive-discounts-013", "request": {"state": "A listed price of $2900 gets a 28% discount. A further 43% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "2088 USD"], ["X", "841 USD"], ["Y", "29754/25 USD"], ["Z", "2900 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-tiered-charge-005", "request": {"state": "The first 27 units cost $18 each; additional units cost $20 each. A customer buys 72 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1440 USD"], ["X", "531 USD"], ["Y", "1386 USD"], ["Z", "1296 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-tiered-charge-002", "request": {"state": "The first 33 units cost $8 each; additional units cost $10 each. A customer buys 71 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "710 USD"], ["X", "302 USD"], ["Y", "644 USD"], ["Z", "568 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-015", "request": {"state": "A listed price of $4300 gets a 31% discount. A further 23% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "1978 USD"], ["X", "2967 USD"], ["Y", "228459/100 USD"], ["Z", "4300 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-002", "request": {"state": "After one new observation, 6 observations have mean 33. Before adding it, the 5 observations had mean 42.", "question": "What is the numerical value of the new observation?", "options": [["W", "156"], ["X", "-9"], ["Y", "-12"], ["Z", "9"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-003", "request": {"state": "A factory makes 1900 pieces. Exactly 45 lots each have 26 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1855"], ["X", "1829"], ["Y", "730"], ["Z", "1874"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-000", "request": {"state": "A factory makes 2000 pieces. Exactly 34 lots each have 14 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1952"], ["X", "1986"], ["Y", "1524"], ["Z", "1966"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-001", "request": {"state": "A factory makes 2700 pieces. Exactly 36 lots each have 43 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "2657"], ["X", "2621"], ["Y", "1152"], ["Z", "2664"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-014", "request": {"state": "A factory makes 900 pieces. Exactly 27 lots each have 18 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "873"], ["X", "855"], ["Y", "414"], ["Z", "882"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-013", "request": {"state": "After one new observation, 45 observations have mean 37. Before adding it, the 44 observations had mean 10.", "question": "What is the numerical value of the new observation?", "options": [["W", "-27"], ["X", "1655"], ["Y", "1225"], ["Z", "27"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-009", "request": {"state": "A factory makes 4700 pieces. Exactly 7 lots each have 35 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "4693"], ["X", "4658"], ["Y", "4455"], ["Z", "4665"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-015", "request": {"state": "After one new observation, 10 observations have mean 45. Before adding it, the 9 observations had mean 34.", "question": "What is the numerical value of the new observation?", "options": [["W", "-11"], ["X", "416"], ["Y", "144"], ["Z", "11"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-production-yield-007", "request": {"state": "A factory makes 3900 pieces. Exactly 13 lots each have 23 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "3877"], ["X", "3887"], ["Y", "3601"], ["Z", "3864"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-010", "request": {"state": "After one new observation, 24 observations have mean 30. Before adding it, the 23 observations had mean 28.", "question": "What is the numerical value of the new observation?", "options": [["W", "692"], ["X", "76"], ["Y", "2"], ["Z", "-2"]]}, "expected": "X"} |
| {"id": "numeric-unseen-tiered-charge-015", "request": {"state": "The first 21 units cost $41 each; additional units cost $43 each. A customer buys 43 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1807 USD"], ["X", "1763 USD"], ["Y", "1849 USD"], ["Z", "883 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-missing-average-003", "request": {"state": "After one new observation, 35 observations have mean 12. Before adding it, the 34 observations had mean 40.", "question": "What is the numerical value of the new observation?", "options": [["W", "-28"], ["X", "380"], ["Y", "-940"], ["Z", "28"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-007", "request": {"state": "A listed price of $2800 gets a 38% discount. A further 40% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "2800 USD"], ["X", "616 USD"], ["Y", "5208/5 USD"], ["Z", "1736 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-009", "request": {"state": "After one new observation, 28 observations have mean 4. Before adding it, the 27 observations had mean 30.", "question": "What is the numerical value of the new observation?", "options": [["W", "-26"], ["X", "82"], ["Y", "-698"], ["Z", "26"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-tiered-charge-006", "request": {"state": "The first 4 units cost $26 each; additional units cost $28 each. A customer buys 48 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "148 USD"], ["X", "1344 USD"], ["Y", "1336 USD"], ["Z", "1248 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-010", "request": {"state": "A listed price of $3000 gets a 43% discount. A further 18% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "1170 USD"], ["X", "1710 USD"], ["Y", "7011/5 USD"], ["Z", "3000 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-successive-discounts-002", "request": {"state": "A listed price of $3700 gets a 19% discount. A further 41% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "176823/100 USD"], ["X", "1480 USD"], ["Y", "2997 USD"], ["Z", "3700 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-010", "request": {"state": "A factory makes 3000 pieces. Exactly 13 lots each have 4 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "2996"], ["X", "2948"], ["Y", "2987"], ["Z", "2983"]]}, "expected": "X"} |
| {"id": "numeric-unseen-missing-average-001", "request": {"state": "After one new observation, 27 observations have mean 3. Before adding it, the 26 observations had mean 11.", "question": "What is the numerical value of the new observation?", "options": [["W", "-8"], ["X", "-205"], ["Y", "8"], ["Z", "70"]]}, "expected": "X"} |
| {"id": "numeric-unseen-tiered-charge-013", "request": {"state": "The first 38 units cost $29 each; additional units cost $31 each. A customer buys 49 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1443 USD"], ["X", "1421 USD"], ["Y", "1519 USD"], ["Z", "1113 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-tiered-charge-014", "request": {"state": "The first 44 units cost $23 each; additional units cost $25 each. A customer buys 72 units. There is no fixed fee.", "question": "What is the total charge in dollars?", "options": [["W", "1800 USD"], ["X", "1712 USD"], ["Y", "1040 USD"], ["Z", "1656 USD"]]}, "expected": "X"} |
| {"id": "numeric-unseen-successive-discounts-008", "request": {"state": "A listed price of $4500 gets a 11% discount. A further 30% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "4005 USD"], ["X", "2655 USD"], ["Y", "5607/2 USD"], ["Z", "4500 USD"]]}, "expected": "Y"} |
| {"id": "numeric-unseen-missing-average-008", "request": {"state": "After one new observation, 26 observations have mean 15. Before adding it, the 25 observations had mean 8.", "question": "What is the numerical value of the new observation?", "options": [["W", "7"], ["X", "-7"], ["Y", "382"], ["Z", "190"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-production-yield-013", "request": {"state": "A factory makes 1400 pieces. Exactly 22 lots each have 18 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "1378"], ["X", "1360"], ["Y", "1382"], ["Z", "1004"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-successive-discounts-014", "request": {"state": "A listed price of $1000 gets a 5% discount. A further 28% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "684 USD"], ["X", "1000 USD"], ["Y", "670 USD"], ["Z", "950 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-015", "request": {"state": "A factory makes 2400 pieces. Exactly 47 lots each have 35 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "755"], ["X", "2365"], ["Y", "2353"], ["Z", "2318"]]}, "expected": "W"} |
| {"id": "numeric-unseen-successive-discounts-006", "request": {"state": "A listed price of $4100 gets a 33% discount. A further 20% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "10988/5 USD"], ["X", "2747 USD"], ["Y", "1927 USD"], ["Z", "4100 USD"]]}, "expected": "W"} |
| {"id": "numeric-unseen-production-yield-005", "request": {"state": "A factory makes 4600 pieces. Exactly 34 lots each have 20 defective pieces; all other pieces are usable. No defective piece belongs to more than one lot.", "question": "How many pieces are usable?", "options": [["W", "4580"], ["X", "4546"], ["Y", "4566"], ["Z", "3920"]]}, "expected": "Z"} |
| {"id": "numeric-unseen-successive-discounts-004", "request": {"state": "A listed price of $2700 gets a 26% discount. A further 30% discount is then applied to the already reduced price.", "question": "What is the final price in USD?", "options": [["W", "1188 USD"], ["X", "2700 USD"], ["Y", "6993/5 USD"], ["Z", "1998 USD"]]}, "expected": "Y"} |
| {"id": "numeric-authored-00", "request": {"state": "The tank held 2 liters. We added 750 mL and removed 125 mL.", "question": "How much liquid remains, in milliliters?", "options": [["A", "2625 mL"], ["B", "3 L"], ["C", "0.625 L"], ["D", "2.5 L"]]}, "expected": "A"} |
| {"id": "numeric-authored-01", "request": {"state": "An item listed at $18.75 gets 20% off. Shipping is $2.40 after the discount and is not discounted.", "question": "What is the amount payable?", "options": [["A", "17.40 USD"], ["B", "15 USD"], ["C", "16.92 USD"], ["D", "21.15 USD"]]}, "expected": "A"} |
| {"id": "numeric-authored-02", "request": {"state": "Invoice 5482 totals $360 for 12 identical units. A separate invoice for another product totals $108.", "question": "What is the unit price on invoice 5482?", "options": [["A", "39 USD"], ["B", "30 USD"], ["C", "9 USD"], ["D", "360 USD"]]}, "expected": "B"} |
| {"id": "numeric-authored-03", "request": {"state": "A car traveled 120 km. Its tank capacity is 50 liters. Neither fuel used nor fuel remaining was measured.", "question": "How many liters did this trip consume?", "options": [["A", "12"], ["B", "2.4"], ["C", "Cannot determine"], ["D", "50"]]}, "expected": "C"} |
| {"id": "numeric-authored-04", "request": {"state": "The measuring jug contains 1.2 liters. The reference volume is 1150 milliliters.", "question": "Is the jug volume above, below, or equal to the reference?", "options": [["A", "Equal"], ["B", "Unknown"], ["C", "Below"], ["D", "Above"]]}, "expected": "D"} |
| {"id": "numeric-authored-05", "request": {"state": "A signed account adjustment is exactly -1.235 dollars. Round to the nearest cent, with half ties away from zero.", "question": "What is the rounded adjustment?", "options": [["A", "-1.20 USD"], ["B", "-1.24 USD"], ["C", "-1.23 USD"], ["D", "1.24 USD"]]}, "expected": "B"} |
| {"id": "numeric-authored-06", "request": {"state": "There is a $100 budget. One shipment costs $7 regardless of quantity. Each item costs $6.", "question": "What is the maximum number of whole items affordable?", "options": [["A", "17"], ["B", "15"], ["C", "16"], ["D", "14"]]}, "expected": "B"} |
| {"id": "numeric-authored-07", "request": {"state": "Nine identical items normally cost $4.50 each. Every third item in this purchase is free.", "question": "What is the total charge?", "options": [["A", "40.50 USD"], ["B", "27 USD"], ["C", "31.50 USD"], ["D", "13.50 USD"]]}, "expected": "B"} |
| {"id": "numeric-authored-08", "request": {"state": "A mixture uses flour and water in a 3:2 mass ratio. The total mass is 20 kg.", "question": "How much water is needed?", "options": [["A", "12 kg"], ["B", "6 kg"], ["C", "8 kg"], ["D", "10 kg"]]}, "expected": "C"} |
| {"id": "numeric-authored-09", "request": {"state": "A bag contains 8 red and 4 blue balls. Three balls are drawn uniformly without replacement.", "question": "What is the probability that all three are blue?", "options": [["A", "1/3"], ["B", "1/55"], ["C", "1/220"], ["D", "1/27"]]}, "expected": "B"} |
| {"id": "numeric-authored-10", "request": {"state": "A service begins at 23:53 and ends at 00:12 the next day. The timezone is unchanged.", "question": "How many minutes did it run?", "options": [["A", "41 minutes"], ["B", "19 minutes"], ["C", "59 minutes"], ["D", "12 minutes"]]}, "expected": "B"} |
| {"id": "numeric-authored-11", "request": {"state": "An event starts at midnight at the beginning of February 28, 2024, and ends at midnight at the beginning of March 1, 2024.", "question": "How many full days elapse?", "options": [["A", "2"], ["B", "3"], ["C", "29"], ["D", "1"]]}, "expected": "A"} |
| {"id": "numeric-authored-12", "request": {"state": "A cyclist covers 100 km at 40 km/h, then another 100 km at 60 km/h, without stopping.", "question": "What is the average speed for the entire trip?", "options": [["A", "60 km/h"], ["B", "48 km/h"], ["C", "45 km/h"], ["D", "50 km/h"]]}, "expected": "B"} |
| {"id": "numeric-authored-13", "request": {"state": "Invoice 1047 is unpaid. Invoice 2032 is paid. Receipt 6000 is unrelated to either invoice.", "question": "Which invoice is paid?", "options": [["A", "1047"], ["B", "6000"], ["C", "Cannot determine"], ["D", "2032"]]}, "expected": "D"} |
| {"id": "numeric-authored-14", "request": {"state": "A benefit is awarded only when the measured mass is strictly above 1 kg. A sample weighs 1000 g.", "question": "Does this sample qualify?", "options": [["A", "No"], ["B", "Unknown"], ["C", "Yes"]]}, "expected": "A"} |
| {"id": "numeric-authored-15", "request": {"state": "A recipe needs 250 mL of a powder. No density or mass measurement is supplied.", "question": "What is the powder mass in grams?", "options": [["A", "1000 g"], ["B", "250 g"], ["C", "Cannot determine"], ["D", "1 g"]]}, "expected": "C"} |
| {"id": "numeric-authored-16", "request": {"state": "A success probability is exactly 0.125.", "question": "Express this probability as a percentage.", "options": [["A", "0.125%"], ["B", "1.25%"], ["C", "125%"], ["D", "12.5%"]]}, "expected": "D"} |
| {"id": "numeric-authored-17", "request": {"state": "Room 32 contains file 7. Room 7 contains file 32.", "question": "Which room contains file 32?", "options": [["A", "Unknown"], ["B", "Both rooms"], ["C", "Room 7"], ["D", "Room 32"]]}, "expected": "C"} |
| {"id": "numeric-authored-18", "request": {"state": "Setup takes 7 minutes. Each subsequent complete six-minute cycle makes 10 pieces. There are 48 minutes available, including setup.", "question": "How many completed pieces can be produced?", "options": [["A", "68"], ["B", "60"], ["C", "80"], ["D", "70"]]}, "expected": "B"} |
| {"id": "numeric-authored-19", "request": {"state": "A parcel weighs 1001 grams.", "question": "Is its mass not greater than one kilogram?", "options": [["A", "Cannot determine"], ["B", "No"], ["C", "Yes"]]}, "expected": "B"} |
| {"id": "numeric-authored-20", "request": {"state": "A line starts with 100 pieces. Ninety percent pass the first stage. Eighty percent of those survivors pass the second stage.", "question": "How many pieces pass both stages?", "options": [["A", "70"], ["B", "72"], ["C", "80"], ["D", "90"]]}, "expected": "B"} |
| {"id": "numeric-authored-21", "request": {"state": "A balance of $400 earns simple interest at 5% per year for two years. Interest is not compounded and there are no fees.", "question": "What is the balance after two years?", "options": [["A", "441 USD"], ["B", "400 USD"], ["C", "440 USD"], ["D", "420 USD"]]}, "expected": "C"} |
| {"id": "numeric-authored-22", "request": {"state": "Group A has a mean of 10, and group B has a mean of 20. Both groups are nonempty, but neither group size is known.", "question": "What is the combined mean?", "options": [["A", "Cannot determine"], ["B", "10"], ["C", "20"], ["D", "15"]]}, "expected": "A"} |
| {"id": "numeric-authored-23", "request": {"state": "The exact price is 2.675 dollars. Round to the nearest cent with half ties rounded upward.", "question": "What price should be printed?", "options": [["A", "2.67 USD"], ["B", "2.68 USD"], ["C", "2.60 USD"], ["D", "2.70 USD"]]}, "expected": "B"} |
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