instruction_seed stringlengths 16 5.02k | source stringclasses 1
value | embeddings listlengths 1.02k 1.02k | mean_positive_score float64 0.7 0.87 | mean_negative_score float64 0.73 0.87 | difference_score float64 -0.05 0.04 |
|---|---|---|---|---|---|
The G.C.D. of 1.08, 0.36 and 0.9 is:
Answer Choices: (A) 0.03 (B) 0.9 (C) 0.18 (D) 0.108 (E) None | tiger_lab_math | [
0.00009297620999859646,
0.01258526835590601,
-0.02628180757164955,
-0.05208549648523331,
0.05487537384033203,
-0.04774590581655502,
-0.03547793626785278,
0.04963386431336403,
0.03756043687462807,
-0.026339471340179443,
0.012734656222164631,
0.025400817394256592,
-0.018245458602905273,
-0.0... | 0.797511 | 0.826384 | -0.028873 |
Elsie has a specific amount of wet wipes in a container in the morning. Throughout the day, she refills the container with 10 more wipes after using up 20. By nighttime, she only has 60 wipes left. How many wipes were in the container in the morning? | tiger_lab_math | [
0.0039705755189061165,
0.016157561913132668,
-0.029194602742791176,
-0.020591871812939644,
0.018704503774642944,
-0.03879813849925995,
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0.06869998574256897,
0.029850339516997337,
-0.023728201165795326,
0.024656444787979126,
0.03213699162006378,
-0.03883671015501022,
-... | 0.806513 | 0.818519 | -0.012006 |
If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e?
Answer Choices: (A) 165/2 (B) 175/2 (C) 178/3 (D) 187/2 (E) 197/2 | tiger_lab_math | [
0.025002025067806244,
0.03162681311368942,
-0.015300094150006771,
-0.04266786575317383,
0.034612614661455154,
-0.03576511889696121,
-0.00585660245269537,
0.09375482052564621,
0.03546374291181564,
0.007867895066738129,
0.006639101542532444,
0.016666436567902565,
-0.028111562132835388,
-0.03... | 0.82697 | 0.852286 | -0.025316 |
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 8 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Answer Choices: (A) 25 (B) 35 (C) 75 (D) 80 (E) 90 | tiger_lab_math | [
0.03772760555148125,
0.02150087244808674,
-0.040784887969493866,
-0.04543076828122139,
0.03182077780365944,
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0.03824562951922417,
0.048645712435245514,
-0.02626703679561615,
0.0018538429867476225,
0.017848670482635498,
-0.05703016370534897,
-0.04... | 0.796419 | 0.82108 | -0.024661 |
James burned his hand in a freak accident. It takes him 4 weeks to heal enough to get a skin graft. After that it takes him 50% longer than that to heal from the skin graft. How long did he take to recover from everything? | tiger_lab_math | [
0.031197287142276764,
0.013171940110623837,
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0.02735101245343685,
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0.05739965662360191,
0.03890121728181839,
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0.03508654981851578,
0.05765259265899658,
-0.018093744292855263,
-0.0044... | 0.785093 | 0.812163 | -0.02707 |
What is the probability that out of a randomly selected group of 500 people from a certain demographic, at least 10 individuals will be affected by a rare disease if the overall prevalence rate of the disease in that demographic is 2%? | tiger_lab_math | [
-0.000007903841833467595,
0.003965094685554504,
-0.050929777324199677,
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0.02728267014026642,
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0.06639672070741653,
0.0301836971193552,
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0.00021377502707764506,
0.032991673797369,
0.00368054979480803,
0... | 0.797925 | 0.805485 | -0.007559 |
Find the value of m 72519 x 9999 = m?
Answer Choices: (A) 724533811 (B) 353654655 (C) 545463251 (D) 725117481 (E) 477899932 | tiger_lab_math | [
0.020569559186697006,
0.022171972319483757,
-0.029728667810559273,
-0.03665302321314812,
0.04135472699999809,
-0.04046177864074707,
-0.023091237992048264,
0.05076836794614792,
0.05081436410546303,
-0.014676667749881744,
0.014917510561645031,
0.030672455206513405,
-0.029039282351732254,
-0.... | 0.80723 | 0.845546 | -0.038316 |
Dane’s two daughters need to plant 5 flowers each to grow a garden. As the days passed, the flowers grew into 20 more but 10 of them died. Dane’s daughters harvested the flowers and split them between 5 different baskets. How many flowers ended up in each basket? Let's program in Python in the response. | tiger_lab_math | [
0.007772274315357208,
0.020943360403180122,
-0.0599958635866642,
-0.03058777004480362,
0.024686092510819435,
-0.03982546180486679,
-0.02409149892628193,
0.05212639272212982,
0.026074310764670372,
-0.007211440242826939,
0.006657093297690153,
0.03825858607888222,
-0.04283331334590912,
0.0052... | 0.80236 | 0.812718 | -0.010357 |
a man can do a piece of work in 6 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ? Please respond by writing a program in Python. | tiger_lab_math | [
0.016878826543688774,
0.03055030293762684,
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0.03183653950691223,
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0.06916531920433044,
0.03849824517965317,
-0.012154031544923782,
0.024177417159080505,
0.05024508386850357,
-0.02512536011636257,
-0.018... | 0.813112 | 0.826761 | -0.01365 |
Mark bought 2 pounds of tomatoes for $5 per pound and 5 pounds of apples, at $6 per pound. How much did he spend in total? | tiger_lab_math | [
0.030658762902021408,
0.018710196018218994,
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0.0344591960310936,
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0.028122015297412872,
0.03102169744670391,
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0.025992192327976227,
0.030662402510643005,
-0.04560073837637901,
-0.02464... | 0.77161 | 0.803246 | -0.031637 |
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 0 if a 1 is the value of the first coin flip?
Answer Choices: (A) 0/8. (B) 1/2. (C) 1/5. (D) 3/8. (E) 1/3. | tiger_lab_math | [
0.0017524444265291095,
0.017699969932436943,
-0.031214386224746704,
-0.029670489951968193,
0.0500379279255867,
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0.054805830121040344,
0.029150480404496193,
-0.02436080388724804,
0.013956194743514061,
0.020054413005709648,
-0.024012796580791473,
... | 0.806783 | 0.819111 | -0.012328 |
A man with his bike travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for the whole journey in km per hour is
Answer Choices: (A) 35 (B) 37 (C) 37.5 (D) 40 (E) 39 | tiger_lab_math | [
0.030276227742433548,
0.010714161209762096,
-0.01301222387701273,
-0.03443686291575432,
0.03401079401373863,
-0.02890884503722191,
-0.017485808581113815,
0.05928480252623558,
0.0437772199511528,
-0.020222337916493416,
0.008204926736652851,
0.03294677287340164,
-0.030567532405257225,
-0.025... | 0.791009 | 0.819335 | -0.028326 |
a 40 - liter solution of alcohol and water is 5 percent alcohol . if 2.5 liters of alcohol and 7.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? Let's write a program. | tiger_lab_math | [
0.03406941145658493,
0.016033897176384926,
-0.014397629536688328,
-0.04362364485859871,
0.04686300456523895,
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0.0740545317530632,
0.049992870539426804,
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0.014392383396625519,
0.03178506717085838,
-0.04119985178112984,
-0.021... | 0.778144 | 0.800462 | -0.022319 |
Jeremy bought a computer for $3000, and some accessories for 10% of the price of the computer. How much money has Jeremy if, before the purchase, he had two times more money, than the cost of the computer itself? | tiger_lab_math | [
0.01805337890982628,
0.01668960601091385,
-0.048485394567251205,
-0.00987915974110365,
0.02874796651303768,
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0.07272238284349442,
0.034004319459199905,
-0.031187472864985466,
0.024420756846666336,
0.049995534121990204,
-0.04718863219022751,
-0.0... | 0.808521 | 0.8207 | -0.012178 |
From a group of 5men and 4 women, 3 persons are to be selected to form a committee so that at least 2 men are there are on the committee. In how many ways can it be done?
Answer Choices: (A) 20 (B) 50 (C) 65 (D) 86 (E) 96 | tiger_lab_math | [
0.022969959303736687,
0.0008450577151961625,
-0.03236691281199455,
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0.05155495926737785,
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0.04563548043370247,
0.028247365728020668,
-0.02091059461236,
0.00922565907239914,
0.05486247316002846,
-0.051470834761857986,
-0.0226... | 0.803905 | 0.821742 | -0.017838 |
c can run a kilometer race in 4 1/2 min while d can run same race in 5 min. How many meters start can c give d in a kilometer race, so that the race mat end in a dead heat?
Answer Choices: (A) m (B) m (C) m (D) m (E) m | tiger_lab_math | [
0.04255317524075508,
0.028741631656885147,
-0.04059058427810669,
-0.027471259236335754,
0.03712909296154976,
-0.03912874311208725,
-0.04371487721800804,
0.06890462338924408,
0.049577388912439346,
-0.03160591423511505,
-0.010814640671014786,
0.034184474498033524,
-0.007117284927517176,
-0.0... | 0.797258 | 0.825686 | -0.028428 |
Tara's parents gave her $90 for her birthday. Not wanting to spend it, Tara put the money in a new bank account that gains 10% interest annually. If she doesn't withdraw the money at all, how much will she have after a year? Let's program in Python in the response. | tiger_lab_math | [
0.02174975909292698,
0.017540590837597847,
-0.05080198124051094,
-0.01815601997077465,
0.015704529359936714,
-0.03726101666688919,
-0.009462154470384121,
0.060062915086746216,
0.03553450107574463,
-0.02755757048726082,
0.025327619165182114,
0.02789670042693615,
-0.050452038645744324,
-0.01... | 0.800899 | 0.808059 | -0.00716 |
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Answer Choices: (A) 3000 (B) 4000 (C) 5000 (D) 4000 (E) 2000 | tiger_lab_math | [
0.009696791879832745,
0.0075057982467114925,
-0.04266730695962906,
0.001756245968863368,
0.023407502099871635,
-0.0375685840845108,
-0.009036073461174965,
0.0485282801091671,
0.02999262511730194,
-0.014908059500157833,
0.022023260593414307,
0.042710863053798676,
-0.02827424183487892,
-0.02... | 0.797302 | 0.823099 | -0.025797 |
Kiran had 85 currency notes in all , some of which were of Rs.100 denomination and the remaining of Rs.50 denomination the total amount of all these currency note was Rs.5000.how much amount did she have in the denomination of Rs.50?
Answer Choices: (A) 3500 (B) 1500 (C) 2500 (D) 4500 (E) None of them | tiger_lab_math | [
0.019353538751602173,
0.009130943566560745,
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0.010582567192614079,
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0.05568355321884155,
0.0399630144238472,
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0.01705421507358551,
0.028294004499912262,
-0.034615956246852875,
-0.0... | 0.789048 | 0.814056 | -0.025007 |
a train running at the speed of 60 km / hr crosses a pole in 18 seconds . find the length of the train ? Let's program in Python in the response. | tiger_lab_math | [
0.010585946030914783,
0.01855681650340557,
-0.033553484827280045,
-0.025979885831475258,
0.03180979564785957,
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0.04722694680094719,
0.04283992201089859,
-0.03251531720161438,
0.01815306767821312,
0.013294401578605175,
-0.016237054020166397,
-0.00... | 0.804156 | 0.817577 | -0.013421 |
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Answer Choices: (A) 3.6 (B) 6 (C) 18 (D) 22 (E) 25 | tiger_lab_math | [
0.020765885710716248,
0.013972058892250061,
-0.03589629754424095,
-0.02382192574441433,
0.019137119874358177,
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-0.009190954267978668,
0.0549408383667469,
0.005130855832248926,
-0.013879811391234398,
0.02868642844259739,
0.021055597811937332,
-0.02411368116736412,
-0.0... | 0.786569 | 0.817227 | -0.030658 |
What is the sum of the solutions of the equation $(3x+5)(2x-9) = 0$? Express your answer as a common fraction. Please write a program to solve it | tiger_lab_math | [
0.013100908137857914,
0.014129973016679287,
-0.055007822811603546,
-0.050425488501787186,
0.026125768199563026,
-0.03010454960167408,
0.0010221342090517282,
0.06331126391887665,
0.03903646394610405,
-0.03830600157380104,
0.024146804586052895,
0.030442308634519577,
-0.030132101848721504,
-0... | 0.839669 | 0.849956 | -0.010287 |
In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes,... | tiger_lab_math | [
0.0006732821930199862,
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0.033304665237665176,
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0.05117763951420784,
0.03337071090936661,
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0.02109631709754467,
0.039665576070547104,
-0.028024349361658096,
... | 0.804886 | 0.802995 | 0.001892 |
If a population of women in a town is 30% of men . What is the population of men as a % of population of women ?
Answer Choices: (A) A) 333% (B) B) 100% (C) C) 50% (D) D) 65% (E) E) 110% | tiger_lab_math | [
0.030460573732852936,
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0.05467192828655243,
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0.05680390074849129,
0.04234728962182999,
-0.01616225391626358,
0.008799134753644466,
0.05199205502867699,
-0.04226326942443848,
-0.03... | 0.793454 | 0.823194 | -0.02974 |
What is the remainder when (99)(101) is divided by 9? | tiger_lab_math | [
0.015379877761006355,
0.0013862686464563012,
-0.038544367998838425,
-0.04263773933053017,
0.028630979359149933,
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0.04991990327835083,
0.03902878612279892,
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0.028026359155774117,
0.04866235330700874,
-0.046992816030979156,
0... | 0.776286 | 0.819016 | -0.042729 |
Circles X and Y are concentric. If the radius of circle X is four times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
Answer Choices: (A) 13 (B) Pi/3 (C) Pi/2 (D) 15/16 (E) 8/9 | tiger_lab_math | [
-0.0005444682901725173,
0.019350899383425713,
-0.03603837266564369,
-0.0051500434055924416,
0.04458369314670563,
-0.019311020150780678,
-0.03406565263867378,
0.028641581535339355,
0.049508944153785706,
0.007610247936099768,
0.01817464269697666,
0.026978451758623123,
-0.028460098430514336,
... | 0.820203 | 0.830282 | -0.010078 |
If Billy rode his bike 17 times, John rode his bike twice as many times, and their mother rode her bike 10 times more than John, how many times did they ride their bikes in total? Please write a program to solve it | tiger_lab_math | [
0.03286318853497505,
0.014123257249593735,
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0.026889586821198463,
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0.03673194348812103,
0.039505138993263245,
-0.014658808708190918,
0.01607472263276577,
0.03295237943530083,
-0.03317169472575188,
-0.032... | 0.820993 | 0.834571 | -0.013578 |
Krishnakumar, Raghunandan, Chinnan and Aibak had an interesting discussion on the following:
Find the range of real values of x not satisfying even one of the inequalities 6x - 8 > 40 and 9x - 19 > 80"
Answer Choices: (A) x greater than 8 (B) x lesser than or equal to 8 (C) x lesser to 8 (D) x greater than or equal to ... | tiger_lab_math | [
0.03223690763115883,
0.019771382212638855,
-0.030881870537996292,
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0.02980024926364422,
-0.029834667220711708,
-0.0034321972634643316,
0.0586916022002697,
0.028951752930879593,
-0.03599230572581291,
0.01608259603381157,
0.056242674589157104,
-0.03967171534895897,
-0.01... | 0.823541 | 0.823579 | -0.000039 |
Vincent has 72 inches of rope that he wants to use for a project, but he needs to cut it into smaller pieces first. He cuts it into 12 equal length pieces, but then he realizes it's too short, so he ties three pieces together. The knots then make each piece 1 inch shorter. How long are his pieces of rope after all this... | tiger_lab_math | [
0.016994986683130264,
0.017155807465314865,
-0.03831391781568527,
-0.03795413672924042,
0.019176272675395012,
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-0.02858470007777214,
0.048391327261924744,
0.009463952854275703,
-0.0014811401488259435,
0.024864859879016876,
0.03698182478547096,
-0.04633606970310211,
-0... | 0.824314 | 0.830104 | -0.00579 |
Tracy has a charity book collection store from which she receives book donations from members of her town. Any person who wants to borrow a book is free to do so as long as they return the book after they've finished reading. She has already received 300 book donations. If ten people come and donate five books each in ... | tiger_lab_math | [
0.02349923364818096,
0.011696974746882915,
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0.0344979353249073,
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0.02742214873433113,
0.03877745568752289,
-0.018907057121396065,
0.008970475755631924,
0.030256371945142746,
-0.04245251789689064,
-0.0024... | 0.798984 | 0.802013 | -0.003029 |
If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2?
Answer Choices: (A) 13 (B) 53 (C) 43 (D) 23 (E) 33 | tiger_lab_math | [
0.025073979049921036,
0.015500783920288086,
-0.027765657752752304,
-0.046635210514068604,
0.057517245411872864,
-0.03681158646941185,
-0.033326953649520874,
0.05955712869763374,
0.01669703796505928,
-0.0102970777079463,
0.006543312221765518,
0.012882792390882969,
-0.03891684487462044,
-0.0... | 0.810226 | 0.839899 | -0.029673 |
It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench,25 m broad and 15 m deep can be dug in 30 days ?
Answer Choices: (A) 400 m (B) 200 m (C) 100 m (D) 89 m (E) 79 m | tiger_lab_math | [
0.028783561661839485,
0.0012804551515728235,
-0.03385201096534729,
-0.04121953994035721,
0.020007750019431114,
-0.06637433171272278,
-0.03803247958421707,
0.049291983246803284,
0.03880107402801514,
-0.029553145170211792,
0.022111937403678894,
0.03566212207078934,
-0.015655118972063065,
-0.... | 0.795659 | 0.824337 | -0.028678 |
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Answer Choices: (A) Rs.81000 (B) Rs.80000 (C) Rs.75000 (D) Rs.64000 (E) Rs.68000 Please write a program to solve it | tiger_lab_math | [
0.004481819458305836,
0.03729400783777237,
-0.028850235044956207,
-0.024849966168403625,
0.027484973892569542,
-0.031690891832113266,
-0.030370624735951424,
0.07117869704961777,
0.0362573079764843,
-0.01873553916811943,
0.02386101335287094,
0.021184101700782776,
-0.03941872715950012,
-0.01... | 0.815519 | 0.838841 | -0.023322 |
Of the people who responded to a market survey, 60 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 3 to 1, how many people responded to the survey?
Answer Choices: (A) 80 (B) 150 (C) 240 (D) 360 (E) 480 | tiger_lab_math | [
-0.003796468023210764,
-0.007505590561777353,
-0.0484144352376461,
-0.025843866169452667,
0.04449066147208214,
-0.04757220670580864,
-0.019115803763270378,
0.05045196786522865,
0.04868011176586151,
-0.020624922588467598,
0.01964809186756611,
0.03425680473446846,
-0.04741945117712021,
-0.02... | 0.793021 | 0.814003 | -0.020982 |
If w = 9/25, c = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
Answer Choices: (A) c, m, w (B) c, w, m (C) m, w, c (D) w, c, m (E) w, m, c | tiger_lab_math | [
0.024120574817061424,
0.027166735380887985,
-0.042303845286369324,
-0.04390951991081238,
0.053106896579265594,
-0.027933679521083832,
-0.0410081222653389,
0.07954200357198715,
0.019382543861865997,
-0.006397160701453686,
0.025255534797906876,
0.03434889763593674,
-0.05317070335149765,
-0.0... | 0.816155 | 0.836269 | -0.020114 |
15 : 5 seconds : : ? : 10 minutes ? Please respond by writing a program in Python. | tiger_lab_math | [
0.019718829542398453,
0.03040308691561222,
-0.022732170298695564,
-0.021575769409537315,
0.05026596412062645,
-0.028689397498965263,
-0.032344065606594086,
0.05828903242945671,
0.05296081304550171,
-0.014665180817246437,
0.03171888366341591,
0.030165499076247215,
-0.037576090544462204,
-0.... | 0.803696 | 0.828203 | -0.024506 |
The letters of the word 'SUBITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SUBITI'
Answer Choices: (A) - 246 (B) - 245 (C) - 237 (D) - 315 (E) - 275 | tiger_lab_math | [
-0.00032373794238083065,
0.013464872725307941,
-0.005178812425583601,
-0.025443334132432938,
0.026020323857665062,
-0.0396079495549202,
-0.02070465125143528,
0.026970604434609413,
0.03766455501317978,
-0.009942227974534035,
0.01829773187637329,
0.03018019162118435,
-0.03100571222603321,
-0... | 0.788003 | 0.81579 | -0.027787 |
In how many different ways can the letters of the word "CLAIM" be rearrangement?
Answer Choices: (A) 100 (B) 120 (C) 140 (D) 150 (E) 160 | tiger_lab_math | [
0.0184614397585392,
0.01108793169260025,
0.017760884016752243,
-0.029559863731265068,
0.03098824992775917,
-0.03387380763888359,
-0.020060034468770027,
0.05526239424943924,
0.03383490815758705,
-0.021107304841279984,
0.012434372678399086,
0.05023850128054619,
-0.039368145167827606,
-0.0264... | 0.797517 | 0.823562 | -0.026045 |
Emily has a cylindrical water bottle that can hold 1000π cubic centimeters of water. Right now,
the bottle is holding 100π cubic centimeters of water, and the height of the water is 1 centimeter.
Compute the radius of the water bottle.
Answer Choices: (A) 8 (B) 10 (C) 15 (D) 22 (E) 13 | tiger_lab_math | [
0.009762734174728394,
0.027934985235333443,
-0.013207255862653255,
-0.02537381649017334,
0.0392407663166523,
-0.06451408565044403,
-0.03751106187701225,
0.0620720349252224,
0.02724548615515232,
-0.02637479081749916,
0.009366081096231937,
0.031222384423017502,
-0.0331483855843544,
-0.023352... | 0.810213 | 0.822751 | -0.012539 |
Consider the following sequence: 2, 5, 11, 23, 47, .... The nth term of this sequence can be expressed as: Answer Choices: (A) 2^n + 1 (B) 2^(n-1) + n (C) 2^n - 1 (D) 2^n - n | tiger_lab_math | [
0.049230244010686874,
0.02759782038629055,
-0.02215045690536499,
-0.03114144504070282,
0.031190698966383934,
-0.032113928347826004,
-0.027811655774712563,
0.08727817237377167,
0.035109903663396835,
-0.015991277992725372,
0.0220938790589571,
0.03088386356830597,
-0.061566997319459915,
-0.01... | 0.829893 | 0.8433 | -0.013407 |
Sure, here's a question for the student to solve:
"The curves y = 3x^2 and y = 4x - 1 intersect at points (1, 3) and (2, 7). Find the area bounded by these two curves between x = 1 and x = 2 using integration." | tiger_lab_math | [
0.05483097955584526,
0.020836632698774338,
-0.04102623462677002,
-0.04391542077064514,
0.033460069447755814,
-0.026711950078606606,
-0.016082679852843285,
0.0407073087990284,
0.04689260199666023,
-0.019616365432739258,
0.009640032425522804,
0.04147868603467941,
-0.02630852535367012,
-0.031... | 0.830034 | 0.81911 | 0.010925 |
"statement 1": Of a certain group of 100 people , 40 graduated from High School A , 65 graduated from College Y , and 30 live in City Z, "statement 2" :Of a certain group of less than 300 people , 40 graduated from High School A , 65 graduated from College Y , and 30 live in City Z, "options: " Entailment or contradic... | tiger_lab_math | [
0.02823059819638729,
0.00626126304268837,
-0.03083893284201622,
-0.043771225959062576,
0.06128136068582535,
-0.03418273106217384,
-0.018290814012289047,
0.060469791293144226,
0.028143711388111115,
-0.02808968350291252,
0.016891879960894585,
0.039621155709028244,
-0.030607208609580994,
-0.0... | 0.808981 | 0.818122 | -0.009141 |
Alicia had a wonderful birthday party where she got lots of presents. 10 of the presents were in small boxes. 12 of the presents were in medium boxes. A third of all the presents she is given are in large boxes. How many presents did Alicia get for her birthday? | tiger_lab_math | [
0.03414927050471306,
0.016602683812379837,
-0.05924265831708908,
-0.0378669910132885,
0.029339764267206192,
-0.04106902331113815,
-0.03603307157754898,
0.04900362715125084,
0.03381722420454025,
0.0033286644611507654,
0.031101306900382042,
0.02583770453929901,
-0.023419268429279327,
-0.0177... | 0.781411 | 0.788966 | -0.007555 |
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 18% (B) 19% (C) 12% (D) 32% (E) 17% | tiger_lab_math | [
0.02525591477751732,
0.007316331844776869,
-0.036062099039554596,
-0.022754067555069923,
0.040214914828538895,
-0.037650808691978455,
-0.011412539519369602,
0.0662006065249443,
0.04578116908669472,
0.0070844353176653385,
0.006814546417444944,
0.031760308891534805,
-0.05172310024499893,
-0.... | 0.796706 | 0.828413 | -0.031707 |
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special col... | tiger_lab_math | [
0.04135395213961601,
-0.006685651373118162,
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0.023355206474661827,
-0.043892472982406616,
-0.028726423159241676,
0.04547541216015816,
0.047726914286613464,
-0.016091294586658478,
0.013291023671627045,
0.018004508689045906,
-0.07444247603416443,
... | 0.801505 | 0.815167 | -0.013662 |
Janice gets paid $10 an hour for the first 40 hours she works each week, and $15 each hour of overtime after that. If Janice works 60 hours one week, how much money does she make? | tiger_lab_math | [
-0.004787231329828501,
0.013699821196496487,
-0.03473609685897827,
-0.004688170272856951,
0.01356147788465023,
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0.05560927838087082,
0.02300102449953556,
-0.02268565073609352,
0.04803985729813576,
-0.006860747002065182,
-0.03637085482478142,
-0.0... | 0.780918 | 0.801337 | -0.020419 |
There are one hundred tickets to be sold for a volleyball game. Andrea sold twice as many tickets as Jude while Sandra sold 4 more than half the number of tickets Jude sold. If Jude sold 16 tickets, how many tickets need to be sold? Let's program in Python in the response. | tiger_lab_math | [
-0.0035984348505735397,
0.012233274057507515,
-0.041308123618364334,
-0.023268193006515503,
0.04130679741501808,
-0.04377489537000656,
-0.036831021308898926,
0.044044386595487595,
0.040233053267002106,
-0.020254582166671753,
0.014897095039486885,
0.02911311946809292,
-0.026121020317077637,
... | 0.802145 | 0.809043 | -0.006898 |
Mrs. A. invested $45,000; part at 5%, and part at 8%. The total interest on the investment was $3,150. How much did she invest at each rate?
Answer Choices: (A) x=$15,000, y =$30,000 (B) x=$12,000, y =$24,000 (C) x=$8,000, y =$16,000 (D) x=$10,000, y =$20,000 (E) x=$13,000, y =$26,000 | tiger_lab_math | [
0.015543647110462189,
0.014646828174591064,
-0.045506205409765244,
-0.01830156147480011,
0.044949721544981,
-0.01995442807674408,
-0.006681709550321102,
0.07642243802547455,
0.0448070652782917,
-0.013392802327871323,
0.026869144290685654,
0.021762313321232796,
-0.04090054705739021,
-0.0381... | 0.791517 | 0.814558 | -0.023041 |
Peeta asks Katniss, 'It is 10 am as per my watch right now.Do you know what will be the time 23, 999, 999 hours later?'
Katniss knows the answer. Do you ?
Answer Choices: (A) 5pm (B) 6pm (C) 4am (D) 7am (E) 8pm | tiger_lab_math | [
0.03482493385672569,
0.030390027910470963,
-0.012746663764119148,
-0.02530084177851677,
0.02689835987985134,
-0.057222459465265274,
-0.02707625925540924,
0.04882855713367462,
0.028438536450266838,
-0.016110479831695557,
0.028882993385195732,
0.02093619294464588,
-0.04156110808253288,
-0.01... | 0.770136 | 0.806422 | -0.036286 |
If the average of 10 digits is 80 and the average of 6 of them is 58, calculate the average of the remaining 4 numbers?
Answer Choices: (A) 119 (B) 117 (C) 116 (D) 113 (E) 115 | tiger_lab_math | [
0.026782820001244545,
-0.01620698720216751,
-0.015355677343904972,
-0.04988497868180275,
0.04744706302881241,
-0.04552830755710602,
-0.03801843896508217,
0.04223289340734482,
0.04468958452343941,
-0.02868993766605854,
0.003719576634466648,
0.019954275339841843,
-0.05994029715657234,
-0.013... | 0.805658 | 0.836206 | -0.030548 |
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students Q in the class?
Answer Choices: (A) A) 10 (B) B) 12 (C) C) 15 (D) D) 20 (... | tiger_lab_math | [
0.010270115919411182,
0.010651767253875732,
-0.03657792881131172,
-0.026708275079727173,
0.044186074286699295,
-0.01969570852816105,
-0.05474573373794556,
0.057500071823596954,
0.0357307605445385,
-0.02879643440246582,
0.047473639249801636,
0.02132270112633705,
-0.04090213403105736,
-0.020... | 0.803137 | 0.818505 | -0.015368 |
A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Answer Choices: (A) 230 m (B) 240 m (C) 250 m (D) 320 m (E) 330 m | tiger_lab_math | [
0.025627976283431053,
0.006163112819194794,
-0.03494850546121597,
-0.04848042130470276,
0.025502648204565048,
-0.048196401447057724,
-0.039539437741041183,
0.04446118324995041,
0.04315365105867386,
-0.03534895181655884,
0.013626712374389172,
0.017619645223021507,
-0.030977888032794,
-0.001... | 0.796707 | 0.825221 | -0.028514 |
If X:Y is 1:5 and Y:Z is 5:7 then X:Z is equal to
Answer Choices: (A) 1:6 (B) 1:5 (C) 1:4 (D) 1:7 (E) 1:3 | tiger_lab_math | [
0.018222613260149956,
0.030863074585795403,
-0.03865258768200874,
-0.039081644266843796,
0.05546783655881882,
-0.011449245736002922,
-0.004277106374502182,
0.0637015551328659,
0.027095269411802292,
-0.015670746564865112,
0.025660110637545586,
0.027482895180583,
-0.02994389273226261,
-0.003... | 0.811692 | 0.826454 | -0.014762 |
Find the volume of a solid generated by revolving the area bounded by the curve y = 2x^2, the x-axis, and the lines x = 0 and x = 1 around the y-axis. | tiger_lab_math | [
0.017267702147364616,
0.04207077622413635,
-0.03166598826646805,
-0.048073261976242065,
0.020219771191477776,
-0.03979572281241417,
-0.03818477690219879,
0.07056122273206711,
0.03336520865559578,
-0.016744544729590416,
0.019270269200205803,
0.03420136868953705,
-0.03247251361608505,
-0.023... | 0.818778 | 0.820425 | -0.001647 |
Given $a \star b = a^2 + 2ab + b^2$, what is the value of $a \star b$ when $a = 4$ and $b = 6?$ Please write a program to solve it | tiger_lab_math | [
0.03170875832438469,
0.04666684567928314,
-0.03434077650308609,
-0.03874924033880234,
0.052581049501895905,
-0.02540374919772148,
-0.011404125951230526,
0.07013805955648422,
0.059541575610637665,
-0.039134878665208817,
0.026440884917974472,
0.04492063447833061,
-0.03494638949632645,
-0.041... | 0.844928 | 0.852274 | -0.007346 |
Marcus has three times as many cheese crackers as Mona. Nicholas has 6 more crackers than Mona. If Marcus has 27 crackers, how many crackers does Nicholas have? | tiger_lab_math | [
0.020926859229803085,
0.021179601550102234,
-0.03338468819856644,
-0.021892722696065903,
0.047610070556402206,
-0.008253072388470173,
-0.014082553796470165,
0.042751651257276535,
0.03130309283733368,
-0.017896052449941635,
0.008497081696987152,
0.03412754088640213,
-0.053518954664468765,
-... | 0.803702 | 0.815935 | -0.012233 |
Roy has 2 blue pens. He has twice as many black and 2 less than twice as many red than black pens. How many pens does Roy have in all? Let's write a Python program. | tiger_lab_math | [
-0.005202858708798885,
0.02566653862595558,
-0.040619466453790665,
-0.02476976066827774,
0.02187269739806652,
-0.027385396882891655,
-0.02884765714406967,
0.03470772132277489,
0.04344836622476578,
-0.021325983107089996,
0.022218966856598854,
0.04262811690568924,
-0.024059100076556206,
-0.0... | 0.809984 | 0.822805 | -0.012821 |
If the function f(x) = 3x^3 - 2x^2 + 4x - 1 has a root in the interval (1, 2), which of the following must be true? Answer Choices: (A) f(1) < 0 and f(2) > 0 (B) f(1) > 0 and f(2) < 0 (C) f(1) = 0 or f(2) = 0 (D) None of the above | tiger_lab_math | [
0.05455837771296501,
0.025302786380052567,
-0.041913487017154694,
-0.034223541617393494,
0.03171873837709427,
-0.03095577098429203,
-0.017820149660110474,
0.07373588532209396,
0.03271123394370079,
-0.020978618413209915,
0.021108753979206085,
0.030395470559597015,
-0.020848063752055168,
-0.... | 0.829766 | 0.838338 | -0.008572 |
Ivan has 20 dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether? Let's program in Python in the response. | tiger_lab_math | [
-0.0012155515141785145,
0.019992269575595856,
-0.04366843402385712,
-0.022622480988502502,
0.032549772411584854,
-0.027359038591384888,
-0.015719622373580933,
0.044897645711898804,
0.03925354406237602,
-0.01782330498099327,
0.016740482300519943,
0.045222342014312744,
-0.0482645109295845,
-... | 0.810291 | 0.823178 | -0.012887 |
An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 2?
Answer Choices: (A) A) 1500 (B) B) 2000 (C) C) 2500 (D) D) 3000 (E) E) 4000 | tiger_lab_math | [
0.011080090887844563,
0.007114612963050604,
-0.03185170888900757,
-0.029563425108790398,
0.04013749212026596,
-0.03384809195995331,
-0.032467227429151535,
0.05275857821106911,
0.03429892659187317,
0.019545292481780052,
0.01552900206297636,
0.03502236679196358,
0.004354297649115324,
-0.0170... | 0.800465 | 0.825926 | -0.025461 |
Passage: The Warriors began the 2015-2016 season by winning their first 24 games, eclipsing the previous best start in NBA history. The Warriors surpassed the 1969–70 New York Knicks season for the best road start in NBA history at 14–0, which is also the joint-third longest road win streak. Their record-setting start ... | tiger_lab_math | [
0.01371664647012949,
0.0206474456936121,
-0.01229869481176138,
-0.04034033790230751,
0.04326151683926582,
-0.014552374370396137,
-0.025931749492883682,
0.043288011103868484,
0.061370600014925,
-0.008019544184207916,
0.014905208721756935,
0.017374813556671143,
-0.01889427751302719,
-0.02774... | 0.768213 | 0.792355 | -0.024142 |
There are between 70 and 80 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Answer Choices: (A) 71 (B) 73 (C) 76 (D) 77 (E) 79 | tiger_lab_math | [
0.03482595831155777,
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0.03966633602976799,
0.046963345259428024,
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0.016794437542557716,
0.04506424441933632,
-0.04841502010822296,
-0.... | 0.81125 | 0.829162 | -0.017912 |
James decides he needs to start eating more vegetables. He starts by eating a quarter pound of asparagus and a quarter pound of broccoli per day. After 2 weeks, he doubles that amount and adds 3 pounds of kale per week. How many pounds of vegetables does he eat a week after adding the kale? | tiger_lab_math | [
0.03315814957022667,
0.02708381600677967,
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0.012965119443833828,
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0.05872981622815132,
0.013607856817543507,
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0.02581018954515457,
0.022685056552290916,
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-0... | 0.77857 | 0.791973 | -0.013404 |
two bullet train s 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is : ? Please write a program to solve it | tiger_lab_math | [
0.023645417764782906,
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0.039651475846767426,
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0.055565498769283295,
0.0529438778758049,
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0.024186212569475174,
0.008941595442593098,
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-0.00... | 0.80994 | 0.822401 | -0.012461 |
There are 60 ridges on a vinyl record. Jerry has 4 cases, each with 3 shelves that can hold 20 records each. If his shelves are 60% full, how many ridges are there on all his records? Please respond by writing a program in Python. | tiger_lab_math | [
0.003999058157205582,
0.02290688268840313,
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0.034061893820762634,
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0.04719682037830353,
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0.013590100221335888,
0.03803730010986328,
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-0.02... | 0.809584 | 0.81869 | -0.009106 |
A fruit stand is selling apples for $2 each. Emmy has $200 while Gerry has $100. If they want to buy apples, how many apples can Emmy and Gerry buy altogether? | tiger_lab_math | [
0.006322175730019808,
0.0013122785603627563,
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0.023648172616958618,
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0.06059965863823891,
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0.0031855234410613775,
0.03715511038899422,
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... | 0.816573 | 0.823151 | -0.006578 |
Let C be the algebraic curve defined by the equation y^2 = x^3 - 3x + 1, and let J(C) be its Jacobian variety. Find the dimension of J(C) as a vector space over the field of complex numbers. | tiger_lab_math | [
0.022904422134160995,
0.01480991579592228,
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0.005356972571462393,
0.042741984128952026,
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-0.012... | 0.836231 | 0.823863 | 0.012367 |
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Answer Choices: (A) 38008 (B) 38000 (C) 38005 (D) 38001 (E) 38002 | tiger_lab_math | [
0.016727939248085022,
0.037980832159519196,
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0.0471506305038929,
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0.025514252483844757,
0.027049966156482697,
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-0.0... | 0.797251 | 0.831077 | -0.033826 |
If Lawrence walked 4 kilometers at 3 kilometers per hour, Lawrence was walking for _____ hours . Let's program in Python in the response. | tiger_lab_math | [
0.0037603515665978193,
0.02712363749742508,
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0.037759941071271896,
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-0.... | 0.787655 | 0.808038 | -0.020383 |
Two goods trains each 1250 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 228 (B) 278 (C) 48 (D) 27 (E) 120 | tiger_lab_math | [
0.019247550517320633,
0.007126674056053162,
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0.03391268104314804,
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0.026140574365854263,
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-0.... | 0.797977 | 0.828838 | -0.030861 |
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 36.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 30¢, then what is the average price, in cents, of the two returned peanut butter cans?
Answer Choices: (A) 5.5 (B) 11 (C) 47.5 (D) 66 (E) 49.5... | tiger_lab_math | [
0.026712017133831978,
0.030468717217445374,
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0.03721306473016739,
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0.008214384317398071,
0.029431499540805817,
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-0.... | 0.805773 | 0.824429 | -0.018656 |
Evaluate $\log_432$. Let's write a program. | tiger_lab_math | [
0.007792869117110968,
0.03294217959046364,
-0.025629131123423576,
-0.03146792948246002,
0.03563986346125603,
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0.03051915392279625,
0.03564522787928581,
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-0.019... | 0.797152 | 0.823905 | -0.026754 |
Suppose $f(x) = 6x - 9$ and $g(x) = \frac{x}{3} + 2$. Find $f(g(x)) - g(f(x))$. Let's write a program. | tiger_lab_math | [
0.021736998111009598,
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0.03970609977841377,
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0.029293891042470932,
0.03041461855173111,
-0.03464508056640625,
-0.0156... | 0.829351 | 0.837253 | -0.007902 |
The sum of two numbers is 90 and their difference is 10. Find their product.
Answer Choices: (A) 104 (B) 2000 (C) 315 (D) 325 (E) 335 | tiger_lab_math | [
0.016217324882745743,
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0.08391164988279343,
0.05801866576075554,
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0.025450430810451508,
0.05553427338600159,
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-0.0... | 0.812495 | 0.839651 | -0.027156 |
Alex has 4 pens in the first week of a month. Every week her pen collection doubles. How many more pens will Alex have than Jane if Jane will have 16 pens after a month? | tiger_lab_math | [
0.01658409647643566,
0.02734760008752346,
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0.023345716297626495,
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0.06281285732984543,
0.03042263723909855,
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0.01961439661681652,
0.038183778524398804,
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-0.0... | 0.806458 | 0.818126 | -0.011668 |
Edward started his own lawn mowing business. In the spring, he made 2 dollars mowing lawns, and in the summer, he made 27 dollars. If he also received 5 dollars for laying new turf, he ended up with _____ dollars . Let's write a program. | tiger_lab_math | [
0.013423039577901363,
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0.03860442712903023,
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0.05976000800728798,
0.03333728015422821,
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0.019632168114185333,
0.018348844721913338,
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-... | 0.801023 | 0.809619 | -0.008596 |
A trapezoid has a base of 8 cm and 14 cm, and a height of 5 cm. What is the area of this trapezoid? | tiger_lab_math | [
0.02967800572514534,
0.028443563729524612,
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0.0502530001103878,
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0.0369463749229908,
0.029257623478770256,
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0.01809869520366192,
0.025834720581769943,
-0.019904155284166336,
-0.01... | 0.80124 | 0.818334 | -0.017094 |
Alyssa took 100 photos on vacation. She wants to put them in a photo album with 30 pages. She can place 3 photos each on the first 10 pages. Then she can place 4 photos each on the next 10 pages. If she wants to put an equal number of photos on each of the remaining pages of the album, how many photos can she place on ... | tiger_lab_math | [
0.031971585005521774,
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-0.034971289336681366,
0.02617066539824009,
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0.06373880803585052,
0.02811366692185402,
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0.0030030759517103434,
0.03492710366845131,
-0.05056469887495041,
-0... | 0.829492 | 0.829247 | 0.000245 |
In $\triangle{ABC}, AB=10, \angle{A}=30^\circ$ , and $\angle{C=45^\circ}$. Let $H, D,$ and $M$ be points on the line $BC$ such that $AH\perp{BC}$, $\angle{BAD}=\angle{CAD}$, and $BM=CM$. Point $N$ is the midpoint of the segment $HM$, and point $P$ is on ray $AD$ such that $PN\perp{BC}$. Then $AP^2=\dfrac{m}{n}$, where ... | tiger_lab_math | [
0.03589433431625366,
0.020682498812675476,
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0.031146083027124405,
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0.06240355595946312,
0.0333004966378212,
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0.027704479172825813,
0.02919021248817444,
-0.04922876134514809,
-0.020... | 0.855364 | 0.821916 | 0.033447 |
The rim of a standard basketball hoop is 10 feet above the ground. Additionally, most experts will say that a player must be able to reach at least 6 inches above the rim to dunk a basketball. Suppose a basketball player is 6 feet tall and can reach 22 inches above their head using the wingspan of their arms. How hi... | tiger_lab_math | [
0.03771115839481354,
0.019234376028180122,
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0.02972162514925003,
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0.03277946263551712,
0.02198839746415615,
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0.011273623444139957,
0.07981263846158981,
-0.04264604672789574,
-0.0188... | 0.755129 | 0.75804 | -0.002911 |
How many ways are there to color a cycle of 6 vertices using 3 colors, such that no two adjacent vertices have the same color? | tiger_lab_math | [
0.014677748084068298,
0.01974959298968315,
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0.011213845573365688,
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0.03567298874258995,
0.012291673570871353,
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0.02588854357600212,
0.044637568295001984,
0.0022192425094544888,
-0... | 0.814001 | 0.821647 | -0.007646 |
in a throw of a coin find the probability of getting a tail ? Let's write a Python program. | tiger_lab_math | [
-0.012364489026367664,
0.023592019453644753,
-0.028011728078126907,
-0.017035098746418953,
0.040141720324754715,
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0.04430707171559334,
0.025131020694971085,
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0.02390415035188198,
0.03543096408247948,
-0.01827448606491089,
-0... | 0.797594 | 0.806597 | -0.009003 |
An infinite geometric series has common ratio $\frac{-1}{3}$ and sum $25.$ What is the second term of the sequence? Please write a program to solve it | tiger_lab_math | [
0.009020133875310421,
0.033383265137672424,
-0.040700722485780716,
-0.05610361322760582,
0.01434320118278265,
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0.06460648030042648,
0.01222022995352745,
-0.03744544833898544,
0.02540482021868229,
0.015722233802080154,
-0.03911127522587776,
-0.00... | 0.845868 | 0.852872 | -0.007004 |
the total age of a and b is 17 years more than the total age of b and c . c is how many years younger than a ? Let's program in Python in the response. | tiger_lab_math | [
0.01910150609910488,
0.021493686363101006,
-0.05409994721412659,
-0.02370932325720787,
0.03761663660407066,
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0.06481815129518509,
0.047167979180812836,
-0.028198501095175743,
0.016474269330501556,
0.048901211470365524,
-0.044187258929014206,
0.012... | 0.794126 | 0.813208 | -0.019082 |
What is the circumference of a circle with a radius of 7 cm? | tiger_lab_math | [
0.014569872990250587,
0.04565110430121422,
-0.038847774267196655,
-0.04686209186911583,
0.03224265202879906,
0.0035875397734344006,
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0.01758054457604885,
0.02400919422507286,
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0.0032952309120446444,
0.03051110915839672,
-0.018485821783542633,
-0.0210... | 0.766544 | 0.794225 | -0.027681 |
A store ordered 300 more than twice as many pens as it did pencils at $5 each. If the cost of a pencil was $4, and the store ordered 15 boxes, each having 80 pencils, calculate the total amount of money they paid for the stationery. | tiger_lab_math | [
0.020990105345845222,
0.019411951303482056,
-0.03167548030614853,
-0.027125727385282516,
0.041794028133153915,
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0.029581893235445023,
0.050517335534095764,
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0.034437838941812515,
0.021789105609059334,
-0.03890598192811012,
-0.... | 0.793252 | 0.799112 | -0.00586 |
A wire of length 2 meters is carrying a current of 4 Amperes. The wire is shaped as a quarter-circle with radius 1 meter in the xy-plane, centered at the origin, and oriented in the xy-plane. Find the magnetic field generated by the current at a point (0,0,3). Assume that the permeability of free space is μ0 = 4π × 10^... | tiger_lab_math | [
0.011853362433612347,
0.037660013884305954,
-0.03520308434963226,
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0.03228895738720894,
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0.058605778962373734,
0.05246675759553909,
0.005497420206665993,
0.002878304570913315,
0.01651018299162388,
-0.01981756091117859,
-0.03... | 0.807758 | 0.80746 | 0.000298 |
Mr. Connell harvested 60 apples from his apple tree and 3 times as many peaches from his peach tree. What is the difference between the number of the two fruits? Let's write a Python program to solve it. | tiger_lab_math | [
0.007762758992612362,
0.008317973464727402,
-0.029080091044306755,
-0.02091662399470806,
0.03198853135108948,
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0.061904847621917725,
0.021355723962187767,
-0.03664819151163101,
0.013277743943035603,
0.029308661818504333,
-0.051140692085027695,
-... | 0.808694 | 0.819132 | -0.010438 |
Find the greatest common divisor (GCD) of 52 and 78 using the Euclidean algorithm. | tiger_lab_math | [
0.003814048133790493,
0.012041762471199036,
-0.006385845132172108,
-0.07848025858402252,
0.022094352170825005,
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0.04403778910636902,
0.023602807894349098,
-0.035763394087553024,
0.014413954690098763,
0.017012005671858788,
-0.02245638519525528,
-0... | 0.807892 | 0.822394 | -0.014502 |
A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 | tiger_lab_math | [
0.012324891053140163,
0.04274372011423111,
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0.03061627224087715,
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0.06979409605264664,
0.025147220119833946,
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0.021118516102433205,
0.03303512558341026,
-0.03899674862623215,
-0.009... | 0.809433 | 0.825052 | -0.015619 |
A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Answer Choices: (A) 8/9 (B) 75/4 (C) 7/15 (D) 3/7 (E) 4/3 | tiger_lab_math | [
0.012964954599738121,
0.0190045814961195,
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0.04423443600535393,
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0.049280691891908646,
0.032902173697948456,
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0.007961804047226906,
0.03053436242043972,
-0.004386231768876314,
-0.0120... | 0.814255 | 0.833417 | -0.019162 |
The garbage truck passes through Daniel's neighborhood on Tuesdays, Thursdays, and Saturdays. In each garbage collection, an average of 200 kg is taken. Due to obstruction in the roads leading to Daniel's neighborhood, the garbage truck stops passing through for two weeks. During the first week, people in Daniel's neig... | tiger_lab_math | [
0.007419714704155922,
0.03804878517985344,
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0.014757534489035606,
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0.058390989899635315,
0.030049137771129608,
0.004264665301889181,
0.008980197831988335,
0.026423519477248192,
-0.03519780933856964,
0.... | 0.796801 | 0.799706 | -0.002904 |
Passage: The Falcons returned home to take on the last of their AFC Opponents. Coming back home they are 3-0 against the AFC West. However, for the 3rd straight week, the team would trail a game as the Raiders moved ahead after Sebastian Janikowski's 53-yard field goal for the only score of the first quarter. The Falc... | tiger_lab_math | [
0.04532819613814354,
0.0356682725250721,
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0.04149405285716057,
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0.06084142625331879,
0.022949812933802605,
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0.02676827274262905,
0.011563470587134361,
-0.04632589593529701,
-0.01... | 0.769215 | 0.793197 | -0.023982 |
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Answer Choices: (A) 7:8 (B) 7:9 (C) 3:8 (D) 5:8 (E) 6:8 | tiger_lab_math | [
0.033784616738557816,
0.024185117334127426,
-0.03475835546851158,
-0.029824472963809967,
0.034990549087524414,
-0.02206820622086525,
-0.02110201120376587,
0.061236295849084854,
0.043058257550001144,
-0.007487407419830561,
0.030363671481609344,
0.03451794758439064,
-0.01932424120604992,
-0.... | 0.803282 | 0.8293 | -0.026017 |
Suppose $z$ and $w$ are complex numbers such that
\[|z| = |w| = z \overline{w} + \overline{z} w= 1.\]Find the largest possible value of the real part of $z + w.$ | tiger_lab_math | [
0.033956002444028854,
0.03507326543331146,
-0.0354742705821991,
-0.048048973083496094,
0.04204343631863594,
0.005327701102942228,
0.004629759583622217,
0.04117625579237938,
0.03466121479868889,
-0.011748294346034527,
0.030975397676229477,
0.03594367578625679,
-0.04344379901885986,
-0.01304... | 0.840213 | 0.826729 | 0.013484 |
If $\|\mathbf{a}\| = 3$ and $\|\mathbf{b}\| = 6,$ then find $(\mathbf{a} + \mathbf{b}) \cdot (\mathbf{a} - \mathbf{b}).$ Let's write a Python program. | tiger_lab_math | [
0.037357598543167114,
0.03425673767924309,
-0.05975912883877754,
-0.03584088012576103,
0.04635822772979736,
-0.010141577571630478,
-0.03323981910943985,
0.06174230948090553,
0.03933021426200867,
-0.014054624363780022,
0.009080493822693825,
0.03929276764392853,
-0.04396052286028862,
-0.0384... | 0.826099 | 0.82898 | -0.002881 |
A triangle has sides of length 10, 15, and 20. Find the measure of the largest angle using the Law of Cosines. | tiger_lab_math | [
0.026809098199009895,
0.022350477054715157,
-0.028901463374495506,
-0.047382451593875885,
0.02707390859723091,
-0.018060674890875816,
-0.03191569447517395,
0.046974048018455505,
0.007763463072478771,
-0.014138741418719292,
0.04316339269280434,
0.03291581571102142,
-0.04127718135714531,
-0.... | 0.817307 | 0.816912 | 0.000394 |
A metal box with a square base and no top is to be constructed with a volume of 128 cubic inches. If the cost of the metal used for the bottom is $0.03 per square inch, and the cost of the metal used for the sides is $0.01 per square inch, what are the dimensions of the box so that the cost of materials are minimized? | tiger_lab_math | [
0.02015492133796215,
0.02950497530400753,
-0.06359262764453888,
-0.01607441157102585,
0.04103551432490349,
-0.029624896124005318,
-0.035072457045316696,
0.05074561759829521,
0.02600668929517269,
-0.005343837197870016,
0.019791096448898315,
0.019658032804727554,
-0.02585863694548607,
-0.023... | 0.791312 | 0.795791 | -0.004479 |
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 5, the quotient is 3y and the remainder is 4. What is the value of 4y – x ?
Answer Choices: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2 | tiger_lab_math | [
0.05868474021553993,
-0.00026978226378560066,
-0.0203583724796772,
-0.033222928643226624,
0.051342155784368515,
-0.04671265929937363,
-0.01607174426317215,
0.05922466889023781,
0.06037038937211037,
-0.008114118129014969,
0.025777209550142288,
0.0547647550702095,
-0.04047386348247528,
-0.01... | 0.819061 | 0.842836 | -0.023775 |
96% of the population of a village is 23040. The total population of the village is?
Answer Choices: (A) 22777 (B) 24000 (C) 27876 (D) 26676 (E) 28822 | tiger_lab_math | [
0.011380347423255444,
0.008464116603136063,
-0.029826894402503967,
-0.020618224516510963,
0.03554392606019974,
-0.06415069103240967,
0.0023540945257991552,
0.03751825541257858,
0.034044597297906876,
-0.027069391682744026,
0.0366048663854599,
0.035588350147008896,
-0.03596152737736702,
0.00... | 0.786618 | 0.81933 | -0.032712 |
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