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aqua:train:197335:0 | aqua | train | 07994cec4c69a39d935130073106170ef7c9d567f0b4fd97e5c4be30bc85d498 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Net part filled in 1 hour= 1/4 -1/9= 5/36\nTherefore the cistern will be filled in 36/5 hours or 7.2 hours.\nANSWER:D\n",
"start": 0,
"end": 116,
"ordinal": 0,
"content_sha256": "1893570bcf18f07849c2e3fb039d2b4fc34bbc053e26bf5c14c2215441749... | 2+2+ 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = | [
"sol39"
] | true | Let's see that: 2 + 2 is 2^2, then: 2^2 + 2^2 becomes 2 x 2^2 that is 2^3. You follow with the next: 2^3 + 2^3 is equal to 2 x 2^3 that is 2^4. Then is assumed right before 2^8: 2^8 x 2^8 becomes 2 x | passage | [] |
aqua:train:197335:1 | aqua | train | e643514d610b1cc062dcca3bd0c3bc830386cabcc4ee3e092618607bf36ee0b6 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "First of all, of course, the base has an area of 36. For the lateral surfaces, it would be helpful to remember the formula for the area of an equilateral triangle.\nThe area of one equilateral triangle is A = (s^2*sqrt{3})/4. We know the side of the equila... | C and D start a business with Rs.4000 and Rs.10000 respectively. Hoe should they share their profits at the end of one year? | [
"sol14"
] | true | Answer:B | passage | [] |
aqua:train:197335:10 | aqua | train | a12c743af8f341996f49a6ecf2295359171b00561538cced93a49c81afdf35f5 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "SP of each car is Rs. 325475, he gains 14% on first car and losses 14% on second car.\nIn this case, there will be loss and percentage of loss is given by\n= [(profit%)(loss%)]/100\n= (14)(14)/100 % = 1.96%\nAnswer:D\n",
"start": 0,
"end": 213,
... | If a trader sold two cars each at Rs. 325475 and gains 14% on the first and loses 14% on the second, then his profit or loss percent on the whole is? | [
"sol0"
] | true | Answer:D | passage | [] |
aqua:train:197335:100 | aqua | train | 08ee61d6897a1b60088387f75566bd1a0ff84113aa1e3f51cd7a2bd309a91c8b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Cost per capsule in R is 6.30/100=0.063\nCost per capsule in T is 2.99/130=0.023\nThe difference is 0.004\nThe answer is A\n",
"start": 0,
"end": 120,
"ordinal": 0,
"content_sha256": "23208ab5c82066528c385d099119ed3ae6e10fcbab76b1e57e6d1ed0... | If “GREEN” is given number code as 49, what is the difference between the number codes of “VIOLET” and “PINK” ? | [
"sol25"
] | true | ANSWER C | passage | [] |
aqua:train:197335:101 | aqua | train | 41bfb2aa3a0543e357524404dd212a82a5aee2552f4ec16a7ab7aa67cee42cf6 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(2.5*6 + 5*6): (4*12)\n45:48 =>\n15:16\nAnswer:B\n",
"start": 0,
"end": 46,
"ordinal": 0,
"content_sha256": "4ce9fd1237bced17f876dce944e39e46b4ea5002d1976da18df26f79cb7f1b91"
},
{
"id": "sol1:0",
"parent_id": "sol1",
"text":... | Two trains running in the same direction with a speed of 60kph and 50kph having lengths of 200m each. How long it will take the trains to completely pass each other(in seconds)? | [
"sol24"
] | true | Answer: E | passage | [] |
aqua:train:197335:102 | aqua | train | 793bcf3c2c6c58ed912b213dfe3c815d9c51a109ae9a055dd6ae6a2c0ed00cc5 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let the distance travelled be x km.\nTotal time = (x/2)/45 + (x/2)/30 = 15 => x/90+ x/60 = 15 => (2x + 3x)/180 = 15\n=> x = 540 km\nAnswer:B\n",
"start": 0,
"end": 138,
"ordinal": 0,
"content_sha256": "3f6de60588191b311e90d2a07dbfc8dc27a90f... | Usually the room tariff in this hotel is higher. At present, it is low because of the ______ season.
a. peak | [
"sol39"
] | true | Answer:D | passage | [] |
aqua:train:197335:103 | aqua | train | 745157f4c05e68226890e9da3508fdbb5230548c5dfc7a4361a356c5040a037b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.\n",
"start": 0,
"end": 138,
"ordinal": 0,
"content_sha256": "321137324ad90ad73d12675095022709aba231081... | Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in | [
"sol10"
] | true | Answer: D | passage | [] |
aqua:train:197335:104 | aqua | train | 31f17db37c150036ee7e6e4395e7e5eacc0a2215f3f6b44dbfe490d941438d27 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "You should notice that 55*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0=0.\nNext number divisible by 55 is 11,000+55=11,055: B*A=5*5=25 (next number won't have... | In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue? | [
"sol6"
] | true | Answer: A. | passage | [] |
aqua:train:197335:105 | aqua | train | 9f1423fc6cd2d9e01420d1dc41baa155b821ba526b9442997b8b944fdfddafed | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train\n= (Speed x Time) = (50/3 * 9) m\n= 150 m.\nAnswer:D\n",
"start": 0,
"end": 109,
"ordinal": 0,
"content_sha256": "2e4df8ff498cc6ea65a1d8d1e0a6deb05dea12cbbea406ee0ed5507be03a4579"
... | A tyre has two punctures. The first puncture alone would have made the tyre flat in 10 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ? | [
"sol32"
] | true | Option D | passage | [] |
aqua:train:197335:106 | aqua | train | d1546fa7009db52e3b0adbc7cfd5bf1a2bb04900a7dccd9a50444f3a525e41c2 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Speed downstream = 60 + 40\n= 100 kmph\nSpeed upstream = 60 - 40\n= 20 kmph\nAnswer:D\n",
"start": 0,
"end": 82,
"ordinal": 0,
"content_sha256": "a6f46490ed6354c4069d5420a7667986713778f0c73c0814971e6533df690722"
},
{
"id": "sol1:0",... | A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $300 before any discount? | [
"sol22"
] | true | C | passage | [] |
aqua:train:197335:107 | aqua | train | beadb5fd5bfad1c8591499b26af344b448b6dffcfa32c06b8c8aab3a0d51beb0 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "In alphabet has 26 words coresponding as\nA position 1\nE position 5\nZ position 26\nsimilarly as given in question Y=25 ;W=23; U=21;S=19; Q=17\nfor M=13 ;K=11;I=9 and so on\nANSWER:D\n",
"start": 0,
"end": 178,
"ordinal": 0,
"content_sha25... | In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is? | [
"sol39"
] | true | Answer: B | passage | [] |
aqua:train:197335:108 | aqua | train | a864bd147e40c72b326135213c18a17770f20a6fa8d32dde99b4d8bdb8c40388 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.\nThen, 2x + 3y = 77 ...(i) and\n3x + 2y = 73 ...(ii)\nMultiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.\nAnswer: B\n",
"start": 0,
... | Find the mean proportional between 64 & 81? | [
"sol19"
] | true | D | passage | [] |
aqua:train:197335:109 | aqua | train | ff3b0989d751deb62671c098ba8a03df56f1efb2230fd396a73aa2f9bcf1f94c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "when 2!/3 remainder is 2\n4!/5 remainder is 4\n6!/7 remainder is 6\nso when the number is prime in the divisor then the remainder is (no.-1)\n46 will be the remainder\nANSWER:A\n",
"start": 0,
"end": 172,
"ordinal": 0,
"content_sha256": "79... | During a certain two-week period, 72 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 6 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms o... | [
"sol23"
] | true | D is the answer. | passage | [] |
aqua:train:197335:11 | aqua | train | 120a592f9c2da4f9d7901517fd9497edd5f1756a0bb2e0940c28b2dad88b55c9 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation :\n0.890890890.... = 0.890¯=890/999. Answer : Option C\n",
"start": 0,
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},
{
"id": "sol1:0",
"parent_id": "... | For how many different pairs of positive integers (a, b) can the fraction 2/15 be written as the sum 1/a + 1/b ? | [
"sol10"
] | true | Answer : D | passage | [] |
aqua:train:197335:110 | aqua | train | feb63ec2b0a5bc34613cc79c3b93b210e4e9f3a9fa2d80f3f61875fe2822f8bd | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nIn this simple alternating subtraction and addition series; 3 is subtracted, then 5 is added, and so on.\nAnswer: Option B\n",
"start": 0,
"end": 135,
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"content_sha256": "4af591af169b8c5638a382a3a7c7087a039bd385ff... | A car drives 60 miles on local roads at 20 mph, and 120 miles on the highway at 60 mph, what is the average speed of the entire trip? | [
"sol35"
] | true | Final stage : average speed is total distance divide to total time : 180/5 = 36 miles per hour.... | passage | [] |
aqua:train:197335:111 | aqua | train | dc861136fb9a07f1de192bcad82b3ab76da8cd1cad723fddcf05dfec27758b69 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "If A can complete a work in x days and B can complete the same work in y days, then, both\nof them together can complete the work in x y/ x+ y days\nTherefore, here, the required number of days = 10 × 20/ 30 = 6.67 days.\nAnswer : B\n",
"start": 0,
... | The average of 2,7,6 and x is 5. Find the value of x? | [
"sol9"
] | true | Answer is E | passage | [] |
aqua:train:197335:112 | aqua | train | f942322a7737bab0c323d6d95baa8592236c7e346bbd22dd988a71086b3ebd5c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "P = {3,-8,Y,19,-6}\nB = {k,-3,0,16,-5,9}\nY > 21\nSo L = Median of P = 3\nM = Mode of Set B\nZ = (3)^M\nIf Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor\n=> M = 0\nHence k = 0, as M is mode and 0 will be the most frequently occurin... | The ratio between x and y is 8/5; x is increased by 10 and y is multiplied by 10 , what is the ratio between the new values of x and y? | [
"sol33"
] | true | Answer: E | passage | [] |
aqua:train:197335:113 | aqua | train | ac9efad8094d355a9223b4f728f9a99166337116fc343f79d329f07ab78b3053 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(I) a < b^2. Not necessarily true fractions: try a=1/3 and b=1/2.\n(II) a < c-b . Not necessarily true: try a=1, b=2, and c=5/2.\n(III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.\nNone of the options must be true.\nAnswer: A.\n",
"s... | Bongani and Jane are friends. Bongani takes Jane's physics test paper and will not tell her what her mark is. He knows that Jane hates maths so he decides to tease her. Bongani says: “I have 2 marks more than you do and the sum of both our marks is equal to 14. What are our marks?” | [
"sol10"
] | true | Answer is A. | passage | [] |
aqua:train:197335:114 | aqua | train | 877bcd10ba063c7f5964a3fdcd3560a9acb0b2b0703acd21d14f854067e10b68 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let the number be\n2 + 1/2[1/3(a/5)] = a/15\n=> 2 = a/30 => a = 60\nANSWER:C\n",
"start": 0,
"end": 74,
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},
{
"id": "sol1:0",
"par... | X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join? | [
"sol4"
] | true | ANSWER:E | passage | [] |
aqua:train:197335:115 | aqua | train | c179c147449abb78851c8e22b7d68cedcb50be393f2eb9685182894944b5c09b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "You may set up common equation like this:\njob/A+job/B+job/C=job/x\nMemorize this universal formula, you will need it definitely for GMAT.\nand find x from this equation\nIn this specific case, the equation will look like this:\n40/40+40/30+40/24=40/x\nIf ... | A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning? | [
"sol38"
] | true | Answer:D | passage | [] |
aqua:train:197335:116 | aqua | train | 63181c3b58bbf57f7ab3e1a4e47ee6238b94f4961417a013a7cca1f0f66b2a9e | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\n60*5:36*6:75*3\n100: 72: 75\n100/247 * 7410 = 3000\nANSWER IS B\n",
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"end": 74,
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"content_sha256": "bdea2d8b24b55bc374d875a00d90aa9501ef0e149a80b40810a739fca38e0fd4"
},
{
"id": "sol1:0",
"pa... | Convert the 13/36 m/s into kilometers per hour? | [
"sol1"
] | true | 13/36 m/s = 13/36 * 18/5 = 13/10 = 1.3 kmph.Answer: C | passage | [] |
aqua:train:197335:117 | aqua | train | 5b9e667863ebad82e8930afeed0126e0ba832f3d9422c1b2428774e7b852243c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Since the probability of a draw is 1/4, then the probability of 5 draws in 5 matches is (1/4)^5=1/1024.\nAnswer: D.\n",
"start": 0,
"end": 115,
"ordinal": 0,
"content_sha256": "10cea2dbc950d6bf2d71970e1a06be52441147b874e76860607537ba2485eee... | What is the unit digit in (632)^179×(615)^316×(341)^476 | [
"sol30"
] | true | A | passage | [] |
aqua:train:197335:118 | aqua | train | e74ec513db7b4325df0e5179ffa02903924431f93659a49f7f767ff65bba47dd | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "These problems can be solved through algebra or sly number picking. Being a big fan of solving problems with numbers, let's pick a total distance divisible by 4 (say 40) so we can break it up into quarters, and a speed that can easily be one-seventh, say 1... | The mass of 1 cubic meter of a substance is 400 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) | [
"sol20"
] | true | Answer: B. | passage | [] |
aqua:train:197335:119 | aqua | train | 06cd6efd94baa8e5811f5fc043c96780c1c5f790a302abb8843412dee2bde781 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The slope of the line through A and B must be equal to the slope of the line through B and C.\n(7 - 3)/(4- 2) = (b - 7)/(8 - 4)\nsolve the above for b to find b = 15.\ncorrect answer C)15\n",
"start": 0,
"end": 185,
"ordinal": 0,
"content_s... | Jerry went to a shop and bought things worth Rs. 25, out of which 30 $ went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | [
"sol7"
] | true | B) | passage | [] |
aqua:train:197335:12 | aqua | train | 12cf6e4b7c6c4b35d9a748622917cf6a595b19c2bf5b5ea480335a102d642b9b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "100x + 400 = 12(x – 5)\nx = 50\n100 * 50 + 400 = 5400\nAnswer:C\n",
"start": 0,
"end": 61,
"ordinal": 0,
"content_sha256": "af691b34dd5b889e4e5b7a4f83522d4873bb79401a1f2a3ff3cdfa6daccc2534"
},
{
"id": "sol1:0",
"parent_id": "sol... | 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155kg then find the average weight of all the 7 rounds? | [
"sol38"
] | true | Answer:B | passage | [] |
aqua:train:197335:120 | aqua | train | 82b52a594437477f7a45f4ef859031299e46f324418dc7a44d823372cd351872 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The part filled by A + B + C in 1 hour\n= 1/6 + 1/4 + 1/12\n= 12/24 = 1/2\nAll the three pipes together will fill the tank in 2 hours.\nThe answer is B.\n",
"start": 0,
"end": 149,
"ordinal": 0,
"content_sha256": "40049d919492e30db98f6d38af... | A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"sol29"
] | true | Answer: C | passage | [] |
aqua:train:197335:121 | aqua | train | 47018444940abc445efbec030e227d505f714a8473d14e41335fbd0b0f997ddd | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "We need to simplify the expression using PEMDAS.\nParentheses\nExponents\nMultiplication andDivision\nAddition andSubtraction\nThe calculation of an equation or expression must be carried out in the following order:\n1) Operations within parentheses (or ab... | If the number of fatalities from road accidents declined from 9,680 in 1988 to 9,600 in 1989 and then declined a further 20% from 1989 to 1990, what was the approximate percentage decline in the number of fatalities from 1988 to 1990? | [
"sol17"
] | true | Answer: C. | passage | [] |
aqua:train:197335:122 | aqua | train | 239b27dc8a93bd1d6ddca72aa8b5932d9e858ec3b3f554839930a6e8c87ce895 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "I used brute force for this question:\nS6: 36+30+94=160\nS5: 25+25+94=144\nS4: 16+20+94=130\nS3: 9+15+94=118\nS2: 4+10+94=108\nS1: 1+5+94=100\nS6-S5+S4+S3+S2-S1= 16+248+8=272\nAnswer D\n",
"start": 0,
"end": 177,
"ordinal": 0,
"content_sha2... | Working together, printer A and printer B would finish the task in 20 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 4 pages a minute more than printer A ? | [
"sol33"
] | true | Answer: C | passage | [] |
aqua:train:197335:123 | aqua | train | da123a82c30444cf0111f4deca6dc7b281070ec1fec02e464d62b07c97178b70 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Formula :\n( After =100 denominator\nAgo = 100 numerator)\n8000 × 100/90 × 100/90 = 9876\nA)\n",
"start": 0,
"end": 91,
"ordinal": 0,
"content_sha256": "bafcf585640919fb4249e5e11b2a391b643dac4a7ca789ef5af32e6a7d5b52a8"
},
{
"id": ... | A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? | [
"sol6"
] | true | Answer: A | passage | [] |
aqua:train:197335:124 | aqua | train | d1e287ead7ff5e368f73fc38aaeef31053d7589500f984ba3f3bb3ff4e7e13d2 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Substituting x = 5 into the given equation, we deduce 7 · 10 · 12 · u(5) = m. Substituting x = 7\ninto the given equation, we deduce 9 · 12 · 14 · u(7) = m. It follows that m must be divisible by\neach of 7 · 10 · 12 and 9 · 12 · 14 which implies that 23 ·... | In one hour, a boat goes 11 km along the steram and 5 km against the stream. The speed of the boat in still waer (in km/hr) is: | [
"sol34"
] | true | Answer C | passage | [] |
aqua:train:197335:125 | aqua | train | d6934c749d0baae07382118502baec807b82696aeec3051d767376382615f9d2 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Total d animals, suppose each has price of x - total price = dx\nnow 24 were sold at profit of 10%, making equation - - 24*1.1x\nnow d-24 were sold at loss of 20%, making eqn --- (d-24)*0.8x\nNow he made no profit or loss so,\ndx = 24*1.1x + (d-24)*0.8x\ns... | The area of one square is x^2 + 10x + 25 and the area of another square is x^2 − 6x + 9. If the sum of the perimeters of both squares is 32, what is the value of x? | [
"sol36"
] | true | Ans :A | passage | [] |
aqua:train:197335:126 | aqua | train | 25b5c0ef00958944ad265f3b487094e278b5a86b7f94c8fe3f850f1541337515 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Solution:\nWork done by all the tanks working together in 1 hour.\n1/10+1/12−1/25=1/7\nHence, tank will be filled in 6.98 hour\nOption(B)\n",
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"content_sha256": "62589154aa956898c707a093870c72d6ca6e87e05... | If 20 toys cost Rs, 234, what do 35 toys cost? | [
"sol36"
] | true | Answer is A | passage | [] |
aqua:train:197335:127 | aqua | train | 06fa8ede05da06c6e09d463010aa5f46d35b5b734f121a2154766411f5382a02 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(1500 * R1 * 3)/100 - (1500 * R2 * 3)/100 = 13.50 4500(R1 - R2) = 1350\nR1 - R2 = 0.3%\nAnswer:C\n",
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"content_sha256": "548fbb2466c2bc77dc4b495df592c6a482fba54a759ef31aa14f9a329acf0b11"
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{
"id"... | The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is? | [
"sol17"
] | true | Answer: D | passage | [] |
aqua:train:197335:128 | aqua | train | 1ba312e95fc8b6bb15f8c206b0757e00b2fec3f27aaf6fda8d0336135c42eb3c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "7/8x-3/4x=9galls\n1/8*x=9gallons\nx=72 gallons\nAnswer D\n",
"start": 0,
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},
{
"id": "sol1:0",
"parent_id": "sol1",
... | A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat? | [
"sol5"
] | true | Answer:D | passage | [] |
aqua:train:197335:129 | aqua | train | c2e2637a5cfdaf7820a728bcd3c78597ddd7bb0ff69969a631dd49d8dea68d4d | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nWe can do it easily by in two steps\nStep1: We get the HCF of 368 and 575 which is 23\nStep2: Divide both by 23, we will get the answer 16/25\nOption D\n",
"start": 0,
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"content_sha256": "3469807bb7cf2... | 36 people {a1, a2… a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is | [
"sol28"
] | true | Answer:D | passage | [] |
aqua:train:197335:13 | aqua | train | 3668ec626ad132019668a2648d39f427b9346766096ebc8e3d17b6bca71ee3ab | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The question is out of 4 apples 2 apples should be chosen.\nRequired probability is 4C2=4!/2!*2!=6\nThe option A is correct.\n",
"start": 0,
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"content_sha256": "dde1e338d3595ad12d059bbfed562c2b27532a8416cb7bfb546130... | Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? | [
"sol31"
] | true | Answer: B | passage | [] |
aqua:train:197335:130 | aqua | train | 8f6671b04cb380cdbe5877df3f6cf81b2b378b6b0a1adaf6b40d107fd0966453 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation :\nExpenditure = 1000 x 1.3 x 1.3 x 1.3 = 2197\nAnswer : Option B\n",
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},
{
"id": "sol1:0",
"pa... | The population of a town is 10000. It increases annually at the rate of 10% p.a. What will be its population after 2 years? | [
"sol22"
] | true | Answer : A | passage | [] |
aqua:train:197335:131 | aqua | train | 876951d6223488074d160f892b7fde5058a258302eec152783b4f033c57aa5cc | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "WE NEED TO TAKE GCD WHICH IS 2\nTHUS ALL THE ROOMS WILL HAVE 2 STUDENTS OF THE SAME DEPT\n1) 70/2 = 35\n2) 58/2 = 29\n3) 24/2 = 12\nTOTAL NO. OF MIN ROOMS REQD = 35+12+29 = 76\nANSWER:D\n",
"start": 0,
"end": 180,
"ordinal": 0,
"content_sha... | A train 330 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? | [
"sol26"
] | true | Answer: A | passage | [] |
aqua:train:197335:132 | aqua | train | 0ff396c373b036b43fdd5d0ab9040a8af0750957315ec00833b77d14337952f8 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "All answer choices but E are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.\nNow, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.\nAnswer: E.\n",
"start":... | 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are? | [
"sol17"
] | true | Answer:A | passage | [] |
aqua:train:197335:133 | aqua | train | 7f31e41b88cdc3471e21af894512bbf1ec57e580837f8008eba87212354c0261 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\n(12 + 22 + ….. + n2) = (1/6) n(n + 1) (2n + 1)\nHere, n = 10\nTherefore,\n(12 + 22 + ….. + 102) = (1/6) 10 (10 + 1) ( 2 x 10 + 1)\n= (1/6) x 10 x 11 x 21\n= 385\nANSWER: D\n",
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"end": 179,
"ordinal": 0,
"content_sha... | Three numbers are in the ratio 3:5:7. The largest number value is 70. Find difference between Smallest & largest number is? | [
"sol37"
] | true | A | passage | [] |
aqua:train:197335:134 | aqua | train | 9b43cbb596652082260b955cb784f0caecf18676764ac970682c4db676370252 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation :\nPresent Worth, PW = F - TD = 540 - 90 = Rs. 450\nSimple Interest on the Present Worth = True Discount\nHence Simple Interest on 450 = 90 ------(Equation 1)\nSimple Interest on the face value = Bankers Discount\n=> Simple Interest on 540 = Ba... | (469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ? | [
"sol24"
] | true | Answer is D. | passage | [] |
aqua:train:197335:135 | aqua | train | 731587a8cd7f890990263aa9d457fafd584475f4e4476510f1c6ac38b5eb40a0 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The 24% alcohol solution decreases by 1/3 once the 250 grams of water is added so 250/.08 =3125*.16% (2/3 of 24%) is 500 grams, thus answer is E.\n",
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"ordinal": 0,
"content_sha256": "49dc0c7788549605d495d36d78b7187a5... | A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right? | [
"sol3"
] | true | Option B | passage | [] |
aqua:train:197335:136 | aqua | train | df565a8511a297c339dad7bce5b37f1a0863a6315c296ce141f1b8ef12eb6a35 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let avg for 11 mos. = 10\nTherefore, Dec = 60\nYear total = 11*10 + 60 = 170\nAnswer = 60/170 = 6/17 = A\n",
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"ordinal": 0,
"content_sha256": "32109ce6f4bf600f4833ac43ff43caa30a1fb8d8caaa690cef26b08af495fbf1"
},
{... | The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 27 minutes is: | [
"sol39"
] | true | ANSWER:E | passage | [] |
aqua:train:197335:137 | aqua | train | f1893713260c692fc9a8a79b43d1d46bde7b91a4d292a4a04bc515e449e3aa29 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "We do not know the total investment of builder,because in the question construction cost is not given.\nHence,‘None of these’ is the answer.\nAnswer E\n",
"start": 0,
"end": 149,
"ordinal": 0,
"content_sha256": "c9e974f23d704ec00ef73d75fe99... | If P is a prime number greater than 3, what is the remainder when P^2 is divided by 4. | [
"sol3"
] | true | Ans A | passage | [] |
aqua:train:197335:138 | aqua | train | 6b01d88ce3b25a12b3d5b7604cd073ef6a690f83b46bb61e4434789f050dc46b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "5 subjects can be arranged in 6 periods in 6P5 ways.\nAny of the 5 subjects can be organized in the remaining period (5C1 ways).\nTwo subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.\nTotal number of arrangem... | A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 8 feet and a height of ... | [
"sol28"
] | true | The answer is C. | passage | [] |
aqua:train:197335:139 | aqua | train | bf390a13ca917a4e366a7e25d8d8a7fc0aab4a5e948747b5ba900abf447b126d | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Total number of ways to select 2 members = 10C2 = 45\nTotal number of ways to select 2 females = 5C2 = 10\nP(two females) = 10/45 = 2/9\nThe answer is C.\n",
"start": 0,
"end": 151,
"ordinal": 0,
"content_sha256": "c375d09c46a20365faa7290fb... | What will be the fraction of 33.33% | [
"sol11"
] | true | Answer: Option C | passage | [] |
aqua:train:197335:14 | aqua | train | 8533510c688c8d73d08172d9c370415025d3f57ec974f92eda1da66532bcc1a0 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nWe cannot find out the answer because the number of days of the current month is not given.\nAnswer: Option D\n",
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"content_sha256": "8fa64bfd7a53339fcdc48647c18719552955c862760a08062e28c47... | The remainder obtained when a prime number greater than 9 is divided by 9 is | [
"sol33"
] | true | A | passage | [] |
aqua:train:197335:140 | aqua | train | 235edef33d133b6858e85fa26d8c3ac9c5e7b65bd079833a60560b12a0d3955a | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour.\nIt means monkey climbs effectively 10 ft in 1 hr.\nso it climbs 90 ft in 9 hrs .\nbal... | From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 1 kilometer per hour, how many hours longer is the journey of Ferry Q compared with the jo... | [
"sol21"
] | true | Then the distance traveled by Ferry Q is 72 km. Ferry Q travels at a speed of 9 kph. The time of the journey for Ferry Q is 72/9 = 8 hours, which is 5 hours more than Ferry P. The answer is A. | passage | [] |
aqua:train:197335:141 | aqua | train | 65151905a85ee6ed9045b877862338801108ea20edd0542eb2fc5ac4c0b2cd12 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(20+20+ 20*20/100)% = 44%\nAREA INCREASED BY 44%\nTHEN ORIGINAL AREA 10*10 =100\nLENGTH IS INCRESED BY 20% NEW LENGTH = 10+2 =12\nBREADTH IS INCREASED 20% NEW BREADTH = 10 + 2 -12\nNEW AREA = 12 * 12 = 144\nINCREASE IN AREA 144 - 100 =44\nPERCENTAGE INCREA... | A department store perceived a run on a lower priced garment and raised the price by 20% to keep stock available until another shipment arrived. Customers fumed and the department store manager allowed them to purchase the garments at 80% of the new price to save face. What was the difference in the new retail price an... | [
"sol6"
] | true | Answer = Option A | passage | [] |
aqua:train:197335:142 | aqua | train | 93325cb2ac514c7727c55bd7dbb6b8c1fb803805cab8970298b8064268dd9cce | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "IMO the answer has to be D.\n5 houses are being sold for 200,000. 4 houses are being sold for $30,000 less, resulting in a loss of $120,000. To make the average selling price intact i.e. $200,000, the remaining 10 houses must be sold at such a profit that ... | If p, q, and r are three different positive integers whose sum is prime, which of the following statements could be true? | [
"sol8"
] | true | 3, 7, 19 satisfies the condition, since 29 is a prime number. Since the question asks for a could be - we know automatically that B is the answer. | passage | [] |
aqua:train:197335:143 | aqua | train | d55ed26ed63eca3b21eeec94178d42de28dd42696023f6ab38a0c3d1d37e2193 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "a:b =8:3 -- 1\nb:c = 1:5\n=>b:c = 3 :15 --2\nFrom 1 and 2 , we get\na:c = 8:15\nAnswer A\n",
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{
"id": "sol1:... | A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, orange, pink, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, ... | [
"sol16"
] | true | The answer is D. | passage | [] |
aqua:train:197335:144 | aqua | train | 2492b9061fe540cd0da3b4e7aab52c91036f0154c031ed9750c4d370558217a8 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nIf teacher's age is 15 years, there is no change in the average. But teacher has contributed 1 year to all the students along with maintaining his age at 16.\nAge of teacher = Average age of all + Total increase in age\n= 16 + (1 x 10 ) = 26 ... | A man borrowed Rs.10000 from a lender at 9% p.a rate of interest. Find the amount to be paid by the man after 2years 6months? | [
"sol20"
] | true | Amount= Prinipal + Simple interest = Rs 10000+ Rs 2250 = Rs 12250 C) | passage | [] |
aqua:train:197335:145 | aqua | train | 7da9ee3d8a39b14467c84de5cff734b5db95a279aecdf1cec907c95204e6431c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "If A can complete a work in x days and B can complete the same work in y days, then, both\nof them together can complete the work in x y/ x+ y days.\nThat is, the required No. of days = 30 × 30/60 = 15 days\nD\n",
"start": 0,
"end": 207,
"ordin... | 2 cyclist begin training at same time A complete each lap in 4 sec B in 6 minutes how many minutes after start will both cyclist pass at exactly same spot when they begin to cycle | [
"sol22"
] | true | ANSWER:C | passage | [] |
aqua:train:197335:146 | aqua | train | d7345331402b81af7de06c7554b0062d5cd9318b110c6a818a6eef14cc37c432 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).\nFirst we find the total # of letters with lines: 8 +24 = 32;\nNext, we find the... | Ramu crosses a 1000 m long street in 10 minutes. What is his speed in km per hour? | [
"sol3"
] | true | Answer is D | passage | [] |
aqua:train:197335:147 | aqua | train | 3ee3509d326e23de93f72a11307d8be9f160d25fd4efa4485475b9ebd96d9da4 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Speed=(120 * 5/18) m/sec\n= (100/3) m/sec Length of the train\n= (Speed x Time)\n= (100/3 * 12) m = 400 m.\nAnswer:E\n",
"start": 0,
"end": 113,
"ordinal": 0,
"content_sha256": "fdf7a8e3f3e2f9cf6771a7a3983da7769b3122c79a851e349e3221dc3c5333... | A, B, C, D, E, F are the only six families in Indira Nagar. A, B, C, D, E and F has 7, 8, 10, 13, 6, and 10 member in their families respectively. If 1 member from all the six families left their respective families to accommodate themselves in the hostel of IIM Lucknow, then the average number of member now in each fa... | [
"sol6"
] | true | Correct Option: A | passage | [] |
aqua:train:197335:148 | aqua | train | f0182c91d6681130c1355fb7b305749e7bf9a75a0c02ae31071804696ddabe72 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let x be the number of non-smoking rooms.\nLet N be the total number of rooms at the inn.\n40% of non-smoking rooms have a king-sized bed.\n0.4x = 0.3N\nx = 0.75N\nThe percentage of rooms which permit smoking is 1 - 0.75 = 25%\nThe answer is A.\n",
"st... | Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2/3 of its own speed and got to its destination in 20 hours? | [
"sol33"
] | true | Answer is D | passage | [] |
aqua:train:197335:149 | aqua | train | ebea76a64f0549b279acdd3f3650393640895c5bc37e7fe02ed43a1fee09319c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "area of garden is 27 x 15 = 405 sq. ft.\n1/3 x 405 = 135 sq. ft. for corn\n1/5 x 405 = 81 sq. ft. for peas\n135 + 81 = 216 sq. ft. used\n405 - 216 = 189 sq. ft. left over\ncorrect answer E\n",
"start": 0,
"end": 184,
"ordinal": 0,
"content_... | A certain team consists of 3 professors and 6 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.) | [
"sol22"
] | true | The answer is E. | passage | [] |
aqua:train:197335:15 | aqua | train | 98101db7179f13358e1c15ba3ca2b3aa617d547da746d961c963d8ca60550d7f | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "34/3 =11 R 1 Kathy will use her tokens for 11 weeks and she will have\none token left over.\ncorrect answer B\n",
"start": 0,
"end": 108,
"ordinal": 0,
"content_sha256": "145a91f78acc5a19271d929b1b277b799a60a33016679168dc71523b42a8813f"
}... | An employer pays Rs.20 for each day a worker works and for felts Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal? | [
"sol18"
] | true | Answer is B. | passage | [] |
aqua:train:197335:150 | aqua | train | fa911495d8435c29ec1bee3f2f2635b83ec4d9d091a2de103c462736677eacaa | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let the present ages of A, B and C be a, b and c respectively.\nGiven, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)\n(b + c)/2 = 48 => b + c = 96 --- (2)\nFrom (1) and (2), we cannot find b.\nAnswer: D\n",
"start": 0,
"end": 204,
"ordinal... | How many liters of water must be evaporated from 50 liters of a 6-percent sugar solution to get a 10-percent solution? | [
"sol33"
] | true | The answer is A. | passage | [] |
aqua:train:197335:151 | aqua | train | 05754f83e4c9226436a1d51a6069f3c7b1225e4674e2c2b0f7fefacc5dc27095 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "5.5/(5.5 - 2) = 11/7 (~1.57)\n4.5/(4.5 - 2) = 9/5 (1.8)\n3.5/(3.5 - 2) = 7/3 (~2.33)\n2.5/(2.5-2) = 5\n1.5/(1.5 - 2) = -3\nThus, the answer is D.\n",
"start": 0,
"end": 141,
"ordinal": 0,
"content_sha256": "b9661a2d0c3acb53d5c807e4af8329a77... | Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 28 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? | [
"sol30"
] | true | Answer:D | passage | [] |
aqua:train:197335:152 | aqua | train | 6c88c701a010624cc52a119d13e9e433806579b68131068fdbe4336d6f4add1a | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nLCM of 7, 9, 12 and 18 is 252\nRequired number = 252 + 4 = 256\nAnswer: Option D\n",
"start": 0,
"end": 92,
"ordinal": 0,
"content_sha256": "573f45489ea1367e3224e38efb77feb4e9e1abdbcc7bf0a7ffdcb3720bed49c1"
},
{
"id": ... | The distance from Steve's house to work is 40 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work? | [
"sol30"
] | true | E | passage | [] |
aqua:train:197335:153 | aqua | train | b055b708e80871e4c9367be738c9f6a374cb5d82449de47f430ae3f8c37228d6 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nLet the incomes of P, Q, R be 6x, 8x, 11x and expenditure be 5y, 8y and 12y respectively.\nTherefore, savings are : (6x – 5y), (8x – 8y) and (11x – 12y)\nNow, 6x – 5y = 1/4(6x)\n24x – 20y = 6x\n18x = 20y\nx/y = 20/18 = 10 / 9\nSavings of P / ... | At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yellin grock on!, what are the chances that the next person who yells rock on!will be a freak? | [
"sol37"
] | true | E | passage | [] |
aqua:train:197335:154 | aqua | train | b01eb88d412c2538227362fbca54629358210729e8bc6585d0851a48d3504cc5 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Solution\nGiven expression = 897.7 - (573.07 + 95.007) = 897.7 - 668.077 = 229.623. Answer A\n",
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"ordinal": 0,
"content_sha256": "7ec823f1da95cb4c96a189ed1304aa2f7af57450c9550caf6e5af33b3047693a"
},
{
"id": "s... | A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck? | [
"sol4"
] | true | Then, ratio of speed of hen and duck = 4*6/3*8 = 1:1''Answer: 1:1; | passage | [] |
aqua:train:197335:155 | aqua | train | ac58105a33e6fc4ea32ed5d383ccc2f7acd00cdfe44a428d8a7f3678fcfba691 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Prime factorization of 36 = 2 x 2 x 3 x 3\nPrime factorization of 16 = 2 x 2 x 2 x 2\nGCF = 4\nLCM = 144\nSum = 148.\nAnswer A.\n",
"start": 0,
"end": 123,
"ordinal": 0,
"content_sha256": "10c5559bd415f470d1aca7b19a1e36b2a26741c5ebeb0fe7873... | In an election between two candidates, the first candidate got 80% of the votes and the second candidate got 240 votes. What was the total number of votes? | [
"sol38"
] | true | The answer is C. | passage | [] |
aqua:train:197335:156 | aqua | train | cae504d16653e3a48d70e36246f9ceba76fa39bf079304b4c56c86cdc50b758b | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(x /4)-((x-3)/6)=1=> (3x-2(x-3) )/12 = 1 => 3x-2x+6=12 => x=6.\nAnswer is A\n",
"start": 0,
"end": 75,
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},
{
"id": "sol1:0",
"pare... | n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ? | [
"sol29"
] | true | Answer: B | passage | [] |
aqua:train:197335:157 | aqua | train | 1b5e97c094504eff3f05262e20b1dfb3aa7069d1f022dacd208c897f328a3b13 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nShyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11\nShyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400\nTherefore Shyam's share = (441/841) * 5887 = 3087\nAnswer: C) 3087\n",
"start": 0,
"end": 213,
... | What is the unit’s digit of 7^8? | [
"sol8"
] | true | Answer A | passage | [] |
aqua:train:197335:158 | aqua | train | 8980a955cdf2dd487bfb7de29c2e7d48670a93c03f46771d2c60744e084605d3 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "One more method\n0.35 represents what percent of 0.007?\nAdjusting the decimal\n350 represents what percent of 7?\nDivide by 7\n50 represents what percent of 1?\nAnswer = 50*100 = 5000%\nANSWER:E\n",
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"c... | n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 1000m race? | [
"sol9"
] | true | A | passage | [] |
aqua:train:197335:159 | aqua | train | 7d6cd07a9259d8a428c0977932393ae41b90bdb5d4c1456f76fb7d09b75e10a2 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let the C.P of each article be Re 1. Then,\nS.P of 7 articles = C.P of 10 articles = Rs. 10\nNow, C.P of 7 articles = Rs. 7, S.p of 7 articles = Rs 10\nGain = Rs ( 10 - 7 ) = Rs 3.\nGain% = ( 3/7 × 100 ) % = 43%\nAnswer : D\n",
"start": 0,
"end": 2... | A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 45 miles per hour. If the ride from marker A to marker B lasted 3 times as m... | [
"sol26"
] | true | Answer E | passage | [] |
aqua:train:197335:16 | aqua | train | cd2b3936de32ad7509768589bc04f7e35520220e55b6c921a6427c302cafcadf | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "7^1=7\n7^2=49\n7^3=343\n7^4=1(last digit)\n7^5=7(last digit) and the cycle repeats after every 4 powers\nTherefore, last digit of 7^6=9\nAnswer E\n",
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"end": 140,
"ordinal": 0,
"content_sha256": "c33e31c5453143234a9ec600006238204... | In the first hour of a two-hour trip, a car traveled d kilometers, and in the second hour of the trip, the car traveled one third that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour? | [
"sol34"
] | true | We find that option E is the answer as it gives the same expression as found in our calculation above. Answer option E. | passage | [] |
aqua:train:197335:160 | aqua | train | 08e8371af31c12d5aa71e81df6adc61175861d668cce47bebecb45920c1e9128 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let us understand the meaning of |a| > 2\nMod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |... | Kate and David each have $10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David $1. Every time the coin lands on tails, David gives Kate $1. After the coin is flipped 5 times, what is the probability that Kate has more than $10 but less than $15? | [
"sol29"
] | true | Answer: B. | passage | [] |
aqua:train:197335:161 | aqua | train | 50a602aab2b34579357dea5e4fdaa98e4b19430bc2f00abbb0ab98f579eaab04 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.\nBased on this there can be only 4 triangles formed:(30, 40, 50), (30, 40, 60), (30, 50, 60), (40, 50,... | A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate? | [
"sol35"
] | true | Answer: A | passage | [] |
aqua:train:197335:162 | aqua | train | 943704468abc29d51aa40ce3a27d5f6afc444ca3856d501f5c458c9fbe1338f8 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "P(5 heads) = (0.4)^5\nThere are 5 ways to get 4 heads: HHHHT, HHHTH, HHTHH, HTHHH, THHHH\nP(4 heads) = 5*(0.4)^4(0.6)\nThe answer is E.\n",
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"end": 133,
"ordinal": 0,
"content_sha256": "9c636db148393823b6c4fb875ca60a9d992613f1b12... | If there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40% of the total. What fraction of the total is women who own cars? | [
"sol33"
] | true | Answer E | passage | [] |
aqua:train:197335:163 | aqua | train | 342961e42529acfeb866e9c6dbe366a5786d1d0b4c1cff5ea666ead7674ee008 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "In 18 minutes, Cathy runs 3 miles.\nIn 45 minutes, Jim runs 4.5 miles.\nCathy can catch Jim at a rate of 4 miles per hour.\nSince Jim is ahead by 1.5 miles, it will take Cathy 1.5 / 4 hours = 22.5 minutes to catch Jim.\nThe answer is C.\n",
"start": 0,... | A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have? | [
"sol9"
] | true | Option C | passage | [] |
aqua:train:197335:164 | aqua | train | 277c0641f377fb61b56c8cacc76c7fbccb9f298619a647c96bc133e419c65f79 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Sol. sp=Rs100 : then cp=Rs 98:profit =Rs 2.\nProfit={(2/98)*100}%=2.04%\nAnswer is D.\n",
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},
{
"id": "sol1:0",... | If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 5x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list? | [
"sol34"
] | true | C | passage | [] |
aqua:train:197335:165 | aqua | train | 62cabe2bc20600a7f050daaf77a7445db13c3efdbc541c6f96fd840e445e31bf | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Sol.(c) Roots of a quadratic equation\nax2 + bx + c = 0 are real if b2 - 4ac ≥ 0\nLet us work with options as follows.\nOption (a) : 3x2 + 4x + 5 = 0\nb2 - 4ac = 42 - 4(3)(5) = -44 < 0.\nThus, roots are not real.\n(b) : x2 + x + 4 = 0\nb2 - 4ac = 12 - 4(1)... | In how many ways to select 3 girls and 2 boys from a class? A class contains 5 boys and 5 girls. | [
"sol14"
] | true | Answer is option D | passage | [] |
aqua:train:197335:166 | aqua | train | 1f4e6585515f2b8b5f639b64317e14fa56fea67823f0b52a135a71abe6d10e87 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "The given digits are 1, 2, 3, 5, 7, 9\nA number is even when its units digit is even. Of the given digits, two is the only even digit.\nUnits place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.\nNumber of even numbers = ... | The speed of a boat in still water is 30 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time? | [
"sol4"
] | true | Answer : B | passage | [] |
aqua:train:197335:167 | aqua | train | bde00056764696c2c77020357ef914b261a4d2128558b990e74b90d2944d55c0 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "100 + 102 +...+ 180 = 41*100 + (2+4...+80) = 41*100 + 2(1+2+...+40) =\n41*100 + 2(40)(41)/2 = 140*41 = 5740\nThe answer is D.\n",
"start": 0,
"end": 124,
"ordinal": 0,
"content_sha256": "d5fbc91dba12d677baee844bc73b2c864e4107ac8dccf10b46f0a... | A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? | [
"sol23"
] | true | Answer: B | passage | [] |
aqua:train:197335:168 | aqua | train | fcb8f706643897dc2dd1b54b5b343d1896907a30fffd17566abdeaa6ec2293e1 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let age of the son before 8 years =x\nThen, age of Kamal before 8 years ago =4x\nAfter 8 years, Kamal will be twice as old as his son\n⇒4x+16=2(x+16)⇒x=8\nPresent age of Kamal\n=4x+8=4×8+8=40\nAnswer is C.\n",
"start": 0,
"end": 200,
"ordinal":... | A car is bought for Rs.60000/- and sold at a loss of 30% find its selling price? | [
"sol24"
] | true | Option 'E' | passage | [] |
aqua:train:197335:169 | aqua | train | 181f90a999b70543add499184059a6a3ffd3aea90b1b2cc4102f1e81cc8ea37f | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Speed of the boat downstream = 15 + 3 = 18 kmph\n= 18 * 5/18 = 5 m/s\nHence time taken to cover 120 m = 120/5\n= 24 seconds.\nAnswer: E\n",
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"content_sha256": "ad2e2214e26b255e4e12bc1b23369c37823aab609d7... | In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/3 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions? | [
"sol9"
] | true | The answer is D. | passage | [] |
aqua:train:197335:17 | aqua | train | 8cde8599a6355bba9c6c33a96cf08c7f59e0999a33de1b340f8bf200c4e0c84a | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "let the average after 16th inning =x\nthen total run after 16th inning=16x\nthen total run after 17th inning=16x+200\nthen average run after 17th inning=(16x+200)/17\n(16x+200)/17=x+10 = > 16x+200 = 17x+170\nx=30;\naverage after 17th inning =30+10=40\nANSW... | The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: | [
"sol8"
] | true | Required number (9999 - 399) = 9600. Answer: Option C | passage | [] |
aqua:train:197335:170 | aqua | train | 91c182eaeeaabfbc79a5129595c591a5d9dd3717103af56095a3267c64ccafd9 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(15*75 + 10*95) / 25 = 83%\nThe answer is C.\n",
"start": 0,
"end": 44,
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"content_sha256": "ae19539c77f758eddef2247ec281f2b3d8af7a3bd3af54551ce4e51c3492f400"
},
{
"id": "sol1:0",
"parent_id": "sol1",
"text": "Th... | If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ? | [
"sol27"
] | true | Correct Option: C | passage | [] |
aqua:train:197335:171 | aqua | train | 73be6bc41c0f1d319192964b8d91ea7b98421a676901af574101a13d8beeb3b7 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "x^2 + y^2 should make you think of these formulas:\n(x+y)(x+y) = x^2+y^2+2xy\nWe already know (x+y) = 5 and x*y = 15\n(x+y)(x+y) = (5)(5) = x^2+y^2+2*(15)\nx^2+y^2 = 25 - 15 = 10\nAnswer : E\n",
"start": 0,
"end": 186,
"ordinal": 0,
"conten... | A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6700? | [
"sol24"
] | true | ANSWER:D | passage | [] |
aqua:train:197335:172 | aqua | train | c088f804ac830865b1a1a62488e36c6fb892acb161801d514a83604a15156d95 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nLet A = Event that A speaks the truth\nB = Event that B speaks the truth\nThen P(A) = 75/100 = 3/4\nP(B) = 80/100 = 4/5\nP(A-lie) = = 1/4\nP(B-lie) = = 1/5\nNow, A and B contradict each other =[A lies and B true] or [B true and B lies]\n= P(A... | There is a road beside a river.Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends... | [
"sol35"
] | true | ANSWER:C | passage | [] |
aqua:train:197335:173 | aqua | train | 4fbb19299d121f23b273000332c000b4a88c58247726d932f9e639a0fdee1f25 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "MKIGS = 13 - 11 - 6 - 7 - 6\nNote: this is a dummy question. Dont answer these questions\nAnswer:B\n",
"start": 0,
"end": 97,
"ordinal": 0,
"content_sha256": "890edc3b0c61d1fa08fe146aa908840958e5af64ba08b6f0ee2217b43cb78167"
},
{
"i... | What is the area of a square field whose diagonal of length 20 m? | [
"sol19"
] | true | ANSWER IS C | passage | [] |
aqua:train:197335:174 | aqua | train | 5a51dd246b3ad70ac7aa550bffb95c7d4e6ecf8cb0b0299f7537d81678117907 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nLet the pipe B be closed after x minutes.\n30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16\n=> x = 14/16 * 24 = 21.\nAnswer:B\n",
"start": 0,
"end": 133,
"ordinal": 0,
"content_sha256": "b9d4d96b65b74f476f19a4c80582aaf3b7c19677c5... | When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 20 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7... | [
"sol36"
] | true | Answer: B. | passage | [] |
aqua:train:197335:175 | aqua | train | c9b08c1101013fd4ac1298f80eb1f28d6f397e9dc0af51d3e4774c9ae0d7282c | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "OFFICIAL SOLUTION:\nIf we start with 40 gallons of a mixture that is 10% grape juice, then we have:\n30 × 0.10 = 3 gallons of grape juice.\n30 × 0.90 = 27 gallons of other components.\nIf we add 10 gallons of grape juice, we will end up with 13 gallons of ... | fill in ht blank:
(a) the point with coordinates (0,0) is called ____ of a rectangular ____ system,
(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___ | [
"sol33"
] | true | (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equa | passage | [] |
aqua:train:197335:176 | aqua | train | b0d5c0f058461752a4664060400136573f2360a784fd9ea454e9beb16c50570f | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\n(A+B+C)'s 1 day's work =\\inline {\\color{Black}\\left ( \\frac{1}{24}+\\frac{1}{6}+\\frac{1}{12} \\right )=\\frac{7}{24}}\nso, A,B and C together will complete the work in 24/7 days.\nAnswer: C) 24/7 days\n",
"start": 0,
"end": 209,
... | Walking across campus, a student interviewed a group of students. 20% of the students took a finance class last semester, 45% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class? | [
"sol26"
] | true | The answer is E. | passage | [] |
aqua:train:197335:177 | aqua | train | d1ca11fe81981ed12d744705677a1b6f0da0841450c95004f2be65e916cd5b54 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "24 --- 6 DS = 4\n? ---- 1\n12 ---- 6 US = 2\n? ---- 1 M = ?\nM = (4+2)/2 = 3\nAnswer: E\n",
"start": 0,
"end": 83,
"ordinal": 0,
"content_sha256": "9b7ff11b5a2a713b534d8e28f1bd1c6eb8e7178f6cade4295b6e50eccf962297"
},
{
"id": "sol1:0... | If x is a sum of all even integers on the interval 13...61 and y is their number, what is the GCD (x, y)? | [
"sol32"
] | true | Answer: D. | passage | [] |
aqua:train:197335:178 | aqua | train | af5debc69d0588b8291bf6b58e74693db5e5ba133b2692aebe0c271fbf7511af | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.\nQuantity of water in B = 8k - 5k = 3k.\nQuantity of water in container C = 8k - 3k = 5k\nContainer: A B C\nQuantity of water: 8k 3k 5k\nIt is giv... | All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quant... | [
"sol0"
] | true | Answer:D | passage | [] |
aqua:train:197335:179 | aqua | train | 19e7ec790c39e024f0ac29f4ccce1950b6f1cfdae6a50fcd10cef4eb8902f127 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s\ntime= 9sec\nlet the lenght of second train is x\ntotal distance covered= 270 + x\ntherefore, D= speed*time\nthus 270 + x = 500/9 * 9\nx= 500-270=230 m\nANSW... | A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 39,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary? | [
"sol30"
] | true | ANSWER: A | passage | [] |
aqua:train:197335:18 | aqua | train | 22bc40bd8f8caf69beabd073650d668ecfa356d0cd2a28a55eaddbd6cc4a40db | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "lets divide this into 2 cases\ncase 1:When a black ball is transferred from bag 1 to 2\n(4/9)*(7/17)=28/153\ncase 2: When a white ball is transferred from bag 1 to 2\n(5/9)*(8/17)=40/153\ntotal probability=(28/153)+(40/153)=4/9\nANSWER:C\n",
"start": 0... | A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the rem... | [
"sol37"
] | true | Answer: C | passage | [] |
aqua:train:197335:180 | aqua | train | 1b3bb518bb37f47eac9a0238dc7986c2ab5d4c275ebc0fe1dec786a86c7e30da | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "0.8*1.2^3 = 1.3824\nThe answer is C.\n",
"start": 0,
"end": 36,
"ordinal": 0,
"content_sha256": "4b76fb7ba7411264bf29ce20c4e81fdc78a2e8f4c8e3727c6385899a36be857a"
},
{
"id": "sol1:0",
"parent_id": "sol1",
"text": "Let the ag... | The mean of 50 observations was 41. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is | [
"sol14"
] | true | Answer D | passage | [] |
aqua:train:197335:181 | aqua | train | af19c595386350262b8eaac00494c248bd1cf34523a5a9305fb6076a07b6ef71 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Answer is B:\n1/X + 1/Y < 2\nThe maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.\nSo 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one ... | The letters in the word ADOPTS are permuted in all possible ways and arranged in alphabetical order then find the word at position 42 in the permuted alphabetical order? | [
"sol15"
] | true | Answer : D | passage | [] |
aqua:train:197335:182 | aqua | train | 1f0671e11475f5553131a49a40462f4d083680623ee048412be5b8b03053cded | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "5*5:3*6:7*3\n25 : 30 : 21\n25/76 * 7600 = 2500\nAnswer:B\n",
"start": 0,
"end": 54,
"ordinal": 0,
"content_sha256": "9f8528baa9dec964b71d4c6f2f25b55316dcb7fc954b5af8263b6284d5d084f8"
},
{
"id": "sol1:0",
"parent_id": "sol1",
... | Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? | [
"sol26"
] | true | Correct answer is B. | passage | [] |
aqua:train:197335:183 | aqua | train | 58a462e0f0d61c97a3d3ed72eb00430762d473e24be2b8870c492e24aeaec9af | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "E\n6 min\nd = 30 * 1/3 cm + 150 cm = 180 cm\nT = 180 cm / 30 cm/min = 6 min\n",
"start": 0,
"end": 73,
"ordinal": 0,
"content_sha256": "c0937c5a378072a25daba021d88397847e22bbad3fc67a5a5823fe4e334be539"
},
{
"id": "sol1:0",
"pare... | How many 5 digit number contain number 3 ? | [
"sol34"
] | true | ANSWER:E | passage | [] |
aqua:train:197335:184 | aqua | train | 944fddfc5f4c8589d8af24fc414144b4146ab15d7b870f53338871c67939623d | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Let the son's present age be x years. Then, man's present age = (x + 24) years.\n(x + 24) + 2 = 2(x + 2)\nx + 26 = 2x + 4\nx = 22.\nANSWER:D\n",
"start": 0,
"end": 137,
"ordinal": 0,
"content_sha256": "3ee92ce89c81ba5aa119309a527a1e147862aa... | Which of the following is divisible by the first six positive integer multiples of 19?
(i) 52440
(ii) 114600
(iii) 19038 | [
"sol10"
] | true | Answer B. | passage | [] |
aqua:train:197335:185 | aqua | train | e55f6bd881bd142af69c24eee0713e09036f401f55f4ea00986a5cc21fc9be35 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Explanation:\nLet x and y be the length and breadth of the rectangle respectively.\nThen, x - 4 = y + 3 or x - y = 7 ----(i)\nArea of the rectangle =xy; Area of the square = (x - 4) (y + 3)\n(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)\nSolving (i) and (i... | The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes? | [
"sol5"
] | true | Answer: B | passage | [] |
aqua:train:197335:186 | aqua | train | b65e28a5d920894be90edbcac9be86b4280f0f11388e9d6c4aae0ee82ab517b0 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "(45/100)z = (90/100)y\nand y = (75/100)x i.e. y = (3/4)x\ni.e. (45/100)z = (90/100)*(3/4)x\ni.e. z = (90*3)x/(45*4)\ni.e. z = (1.5)x = (150/100)x\ni.e. z is 150% of x\nAnswer: Option E\n",
"start": 0,
"end": 179,
"ordinal": 0,
"content_sha2... | During the second quarter of 1984, a total of 4,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ? | [
"sol18"
] | true | So, answer will be E | passage | [] |
aqua:train:197335:187 | aqua | train | 9f60b428cbc3f47c8f31f8dd1937addfe93c69031c8065654b65ab69846c9ed5 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Speed = 72 * 5/18 = 20 m/sec\nTotal distance covered = 110 + 132 = 242 m.\nRequired time = 242/20 = 12.1 sec.\nAnswer: B\n",
"start": 0,
"end": 118,
"ordinal": 0,
"content_sha256": "cb0b2be9c4b94bd492804ad8079ecccc67884b3efb86fe24aa8a371a46... | If k is a non-negative integer and 21^k is a divisor of 435,961 then 7^k - k^7 = | [
"sol39"
] | true | The answer is B. | passage | [] |
aqua:train:197335:188 | aqua | train | c9e8c42c435d48a0bdc8b1b68647dcbde26a12ecdcfcb547c70938ae2d502711 | [
{
"id": "sol0:0",
"parent_id": "sol0",
"text": "Solution\nGiven expression = (a2 - b2) = (a + b)(a - b)\n= (68.237 + 31.763) (68.237 - 31.763)\n= (100 × 36.474)\n= 3647.4. Answer D\n",
"start": 0,
"end": 129,
"ordinal": 0,
"content_sha256": "ea5f8e04eb18b272461351d1ada300f0ed770ca13b532f... | An unbiased die is tossed. Find the probability of getting a multiple of 3 | [
"sol16"
] | true | Answer is A | passage | [] |
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