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 decimal expansion of $8/11$ is a repeating decimal. What is the least number of digits in a repeating block of 8/11? Please respond by writing a program in Python. | tiger_lab_math | [
0.005929606035351753,
0.004611756652593613,
-0.03868536651134491,
-0.05807153508067131,
0.04164232313632965,
-0.025771042332053185,
-0.02287512645125389,
0.05317904055118561,
0.034351736307144165,
-0.014850800856947899,
0.024261359125375748,
0.020488416776061058,
-0.037373971194028854,
0.0... | 0.810428 | 0.829137 | -0.018708 |
Jeremy decides to take Tylenol because of the pain he is experiencing. He decides to take 1000 mg every 6 hours for 2 weeks. How many pills do they take if they are each 500 mg? | tiger_lab_math | [
0.016465261578559875,
0.011505079455673695,
-0.04851141571998596,
-0.02998306415975094,
0.027508622035384178,
-0.06661766767501831,
-0.002765847370028496,
0.05315803363919258,
0.022070597857236862,
-0.017908385023474693,
0.025046739727258682,
0.0353812538087368,
-0.03260113671422005,
-0.02... | 0.783159 | 0.798158 | -0.014999 |
Passage: Currently, there is no official census of religion in Russia, and estimates are based on surveys only. In 2012 the research organization Sreda published Arena Atlas, a detailed enumeration of religious populations and nationalities in Russia, based on a large-sample country-wide survey. They found that 46.8% o... | tiger_lab_math | [
0.018438955768942833,
0.006346620619297028,
-0.04675332456827164,
-0.06115961819887161,
0.02289910614490509,
-0.0098475506529212,
-0.008678631857037544,
0.0500679574906826,
0.042191002517938614,
0.016517724841833115,
0.004586613271385431,
0.03762564808130264,
-0.020078210160136223,
-0.0230... | 0.727282 | 0.759413 | -0.032131 |
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 4.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Answer Choices: (A) 6%. (B) 7.7%. (C) 9.2%. (D) 10.5%. (E)... | tiger_lab_math | [
-0.005261956714093685,
0.03013552725315094,
-0.016533194109797478,
-0.03874506801366806,
0.03721528872847557,
-0.05494655296206474,
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0.07305443286895752,
0.04359038174152374,
-0.009330558590590954,
0.028912503272294998,
0.032129742205142975,
-0.039303697645664215,
-0.0... | 0.774443 | 0.799747 | -0.025304 |
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 729 more than 4times the middle integer. Find the numbers?
Answer Choices: (A) 650 (B) 678 (C) 698 (D) 710 (E) 729 | tiger_lab_math | [
0.027321254834532738,
0.018145417794585228,
-0.02872476540505886,
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0.049446672201156616,
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-0.03137416020035744,
0.05591659992933273,
0.052780330181121826,
-0.0017709495732560754,
0.019556298851966858,
0.026049034669995308,
-0.03315609693527222,
-0... | 0.829269 | 0.847988 | -0.018718 |
In what time will a train 400 meters long cross an electric pole, if its speed is 144 km/hr
Answer Choices: (A) 5 seconds (B) 4.5 seconds (C) 10 seconds (D) 2.5 seconds (E) None of these | tiger_lab_math | [
0.02439640648663044,
0.010980961844325066,
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-0.034403398633003235,
0.03517629951238632,
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0.0498129166662693,
0.04762106016278267,
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0.023027794435620308,
0.01804845966398716,
-0.0045603010803461075,
-0.024... | 0.784991 | 0.816969 | -0.031978 |
A function f(x) with period 2π is defined as follows:
f(x) = 1 for -π< x <0 and f(x) = -1 for 0< x <π
Find the Fourier series of f(x). | tiger_lab_math | [
0.019461030140519142,
0.018838992342352867,
-0.046585630625486374,
-0.04126932844519615,
0.03357119485735893,
-0.03231213241815567,
-0.011884438805282116,
0.06563657522201538,
0.03367074951529503,
0.023742666468024254,
0.028623979538679123,
0.024616504088044167,
-0.038371842354536057,
-0.0... | 0.810115 | 0.816023 | -0.005908 |
Salesperson A's compensation for any week is $350 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
Answer Choices: ... | tiger_lab_math | [
0.00734021607786417,
0.016459183767437935,
-0.03409722074866295,
-0.01833309605717659,
0.03538929298520088,
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0.060149211436510086,
0.04064817354083061,
-0.023635704070329666,
0.035750892013311386,
0.023425118997693062,
-0.03295201063156128,
-0.02... | 0.796547 | 0.81554 | -0.018993 |
A man saves Rs 100 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Answer Choices: (A) Rs 331.01 (B) Rs 362.01 (C) Rs 362.02 (D) Rs 362.03 (E) None of these | tiger_lab_math | [
0.014270794577896595,
0.018811965361237526,
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-0.03318367898464203,
0.022999683395028114,
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0.056259915232658386,
0.025341620668768883,
-0.02253907173871994,
0.015216859988868237,
0.031230367720127106,
-0.04166726768016815,
-... | 0.797517 | 0.828469 | -0.030953 |
Evaluate $\lfloor{\pi}\rfloor$. Please write a program to solve it | tiger_lab_math | [
0.012446916662156582,
0.04018934816122055,
-0.031691037118434906,
-0.03927643969655037,
0.037192367017269135,
-0.017336636781692505,
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0.032196447253227234,
0.049326252192258835,
-0.02506602369248867,
0.03972175717353821,
0.0441913902759552,
-0.04301905259490013,
-0.026... | 0.845686 | 0.85623 | -0.010543 |
James earns $10 per week as an allowance. After saving all his money for four weeks, he spends half of it on a new video game. He then spends a quarter of what is left to buy a new book. How much money does he have left? Let's write a Python program to solve it. | tiger_lab_math | [
0.018507245928049088,
0.008686750195920467,
-0.04405340552330017,
-0.025644700974225998,
0.02969954162836075,
-0.03354545682668686,
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0.05503472685813904,
0.03605489060282707,
-0.026793068274855614,
0.027408462017774582,
0.021162552759051323,
-0.03413049876689911,
-0.0... | 0.804882 | 0.815807 | -0.010925 |
A jewelry store purchased a pair of earrings for $240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. After some time a jewelry store owner decided to decrease the selling price by 20 percent. What was the jewelry store's gross profit... | tiger_lab_math | [
0.01651426963508129,
0.019014863297343254,
-0.048654280602931976,
-0.022689901292324066,
0.04070736840367317,
-0.030904334038496017,
-0.039243850857019424,
0.07514448463916779,
0.04895510897040367,
0.00539774214848876,
0.024617556482553482,
0.02618265151977539,
-0.052170202136039734,
-0.02... | 0.799451 | 0.822247 | -0.022796 |
Passage: Of the built up area, industrial buildings made up 1.7% of the total area while housing and buildings made up 10.7% and transportation infrastructure made up 7.3%. Power and water infrastructure as well as other special developed areas made up 3.5% of the area while parks, green belts and sports fields made u... | tiger_lab_math | [
0.03275575116276741,
0.056339990347623825,
-0.016903581097722054,
-0.04298707842826843,
0.052408941090106964,
-0.03926720842719078,
-0.025624621659517288,
0.05137509107589722,
0.034981194883584976,
-0.000004875595095654717,
0.008814271539449692,
0.013721590861678123,
-0.03718697652220726,
... | 0.731597 | 0.760151 | -0.028553 |
"statement 1": If TRAIN is coded as 12 and PANDA is coded as 18 , then CURED is coded as, "statement 2" :If TRAIN is coded as 22 and PANDA is coded as 18 , then CURED is coded as, "options: " Entailment or contradiction or neutral? Please write a program to solve it | tiger_lab_math | [
0.02336541749536991,
0.008886848576366901,
-0.032700274139642715,
-0.03278503939509392,
0.030453316867351532,
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-0.011306891217827797,
0.07687428593635559,
0.019401943311095238,
-0.022004636004567146,
0.01295466348528862,
0.029437435790896416,
-0.02791847288608551,
0.0012... | 0.810047 | 0.816649 | -0.006601 |
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
Answer Choices: (A) 300 sq m (B) 356 sq m (C) 452 sq m (D) 428 sq m (E) 528 sq m | tiger_lab_math | [
0.020856309682130814,
0.02734680473804474,
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0.01698201894760132,
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0.06085968762636185,
0.05058217793703079,
-0.0035831518471240997,
0.00319380103610456,
0.04401209577918053,
-0.03413275256752968,
-0.0375... | 0.805416 | 0.818963 | -0.013547 |
"statement 1": Kiran , an eight years old boy has 27 toys, "statement 2" :Kiran , an eight years old boy has less than 57 toys, "options: " Entailment or contradiction or neutral? Let's write a program. | tiger_lab_math | [
0.030043695122003555,
0.0002674395218491554,
-0.02895234152674675,
-0.04417033493518829,
0.04452470690011978,
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-0.020270511507987976,
0.07169827073812485,
0.02846066653728485,
-0.01807200163602829,
0.01832837425172329,
0.05367590859532356,
-0.04815550148487091,
-0.013... | 0.801652 | 0.818067 | -0.016414 |
Brogan has two apple trees and goes to harvest them. The first tree is 40% red and 60% green. The second tree is 50% red and 50% green. If they each produce 20 apples, how many red apples does he get? Please write a program to solve it | tiger_lab_math | [
0.027241071686148643,
0.030860472470521927,
-0.041854068636894226,
-0.02816883847117424,
0.011589694768190384,
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-0.007596952840685844,
0.06830935180187225,
0.02777828462421894,
-0.0329604409635067,
0.019547168165445328,
0.036117468029260635,
-0.033089909702539444,
-0.0... | 0.817249 | 0.824087 | -0.006837 |
Mark donates soup to the 6 homeless shelters. Each one services 30 people and he decides to buy 10 cans of soup per person. How many cans of soup does Mark donate? | tiger_lab_math | [
0.02374481037259102,
0.010554645210504532,
-0.03378240391612053,
-0.03009655512869358,
0.022453689947724342,
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0.026618529111146927,
0.009161108173429966,
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0.02500900812447071,
0.04428810626268387,
-0.0451221764087677,
-0.0472... | 0.790915 | 0.806678 | -0.015763 |
Suppose you want to find an integer that leaves a remainder of 3 when divided by 7 and a remainder of 4 when divided by 9. What is the smallest positive integer that satisfies both conditions? | tiger_lab_math | [
0.020175205543637276,
0.01143492292612791,
-0.03904276341199875,
-0.052401985973119736,
0.04146676883101463,
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0.038552191108465195,
0.04317913204431534,
-0.037064727395772934,
0.036463696509599686,
0.033214177936315536,
-0.03683808445930481,
-0.0... | 0.832453 | 0.848722 | -0.016269 |
The average (arithmetic mean) of four different positive integers is 13. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Answer Choices: (A) 4 (B) 3 (C) 2 (D) 1 (E) 0 | tiger_lab_math | [
0.039826054126024246,
0.015925385057926178,
-0.025933248922228813,
-0.038343146443367004,
0.06070490926504135,
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0.03810909390449524,
0.046465277671813965,
-0.012389939278364182,
0.024363325908780098,
0.015948370099067688,
-0.025189952924847603,
... | 0.823166 | 0.839629 | -0.016463 |
What is the probability that a network will experience a distributed denial of service (DDoS) attack in a given month, if historical data shows that the likelihood of a DDoS attack occurring on that network is 0.08 per day? Round your answer to the nearest thousandth. | tiger_lab_math | [
-0.004265387076884508,
0.016992099583148956,
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-0.04294920712709427,
0.03503311052918434,
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-0.020736070349812508,
0.05150429904460907,
0.05046658590435982,
0.00771483825519681,
0.008834365755319595,
0.024073321372270584,
-0.01637548767030239,
-0.04... | 0.776049 | 0.796747 | -0.020699 |
1370 , 1320 , 1070 , -180, -6430, X
Answer Choices: (A) -37680 (B) 6530 (C) 6630 (D) 6730 (E) 6830 | tiger_lab_math | [
0.024491209536790848,
0.013818113133311272,
-0.03365238010883331,
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0.030580364167690277,
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-0.025216273963451385,
0.036892130970954895,
0.04650881886482239,
-0.012850494123995304,
0.02355843223631382,
0.03763698786497116,
-0.044948797672986984,
-0.... | 0.820695 | 0.861144 | -0.040449 |
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 17 months?
Answer Choices: (A) 17:11 (B) 18:15 (C) 18:19 (D) 18:121 (E) 18:112 Please write a program to solve it | tiger_lab_math | [
0.03607320040464401,
0.0313359759747982,
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0.026233265176415443,
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0.06640373170375824,
0.04695036634802818,
-0.012022505514323711,
0.014086754992604256,
0.023228073492646217,
-0.021529367193579674,
-0.03... | 0.815679 | 0.83653 | -0.020851 |
Mary's wagon heats up reaches a temprature of 42 degree celsius when rolling through the weeds and 30.5 degree celsius when rolling through the gravel. This means her wagon is forced to roll slower in the? "Option 1": weeds, "Option 2" :gravel Let's program in Python in the response. | tiger_lab_math | [
0.0353802926838398,
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0.017780158668756485,
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0.05851832777261734,
0.030288388952612877,
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0.015147500671446323,
0.020357605069875717,
-0.008445249870419502,
-0.0... | 0.784178 | 0.804208 | -0.02003 |
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT
Answer Choices: (A) 32 (B) 38 (C) 44 (D) 52 (E) 63 | tiger_lab_math | [
0.0542379654943943,
0.020991772413253784,
-0.022823676466941833,
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0.05905798077583313,
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-0.03142423927783966,
0.06282588094472885,
0.04453802853822708,
-0.03210167586803436,
0.026125892996788025,
0.035342518240213394,
-0.058901648968458176,
-0.041... | 0.82001 | 0.834944 | -0.014934 |
What is the smallest four-digit palindrome that is divisible by 4? (A palindrome is a number that reads the same forwards and backwards, like 61216.) Let's write a Python program. | tiger_lab_math | [
0.017553506419062614,
0.027992378920316696,
-0.013361888937652111,
-0.036357805132865906,
0.050204817205667496,
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0.04332476481795311,
0.03445913642644882,
-0.009606319479644299,
0.03182840347290039,
0.03262839466333389,
-0.00757955014705658,
-0.0... | 0.799729 | 0.820518 | -0.020789 |
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 39 , find the value of ab . Please write a program to solve it | tiger_lab_math | [
0.032095737755298615,
0.02094770409166813,
-0.032410360872745514,
-0.0499899685382843,
0.038327787071466446,
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0.058229900896549225,
0.05041853338479996,
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0.044833954423666,
0.05438210815191269,
-0.051151543855667114,
-0.033... | 0.817971 | 0.835424 | -0.017453 |
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 7: 30 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the sam... | tiger_lab_math | [
0.04781792685389519,
0.01568731665611267,
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0.025083377957344055,
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0.06802155077457428,
0.03833509981632233,
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0.015044002793729305,
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-0.... | 0.78956 | 0.808352 | -0.018792 |
a man can row upstream at 30 kmph and downstream at 60 kmph , and then find the speed of the man in still water ? Let's write a Python program to solve it. | tiger_lab_math | [
-0.0025589396245777607,
0.01712835393846035,
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0.030599500983953476,
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0.055221397429704666,
0.03375334292650223,
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0.01498059555888176,
0.028177917003631592,
-0.026864415034651756,
-... | 0.802778 | 0.813945 | -0.011167 |
Admission tickets to a theater were 60 cents for adults and 25 cents for children. Receipts for the day showed that 280 persons attended and 140 dollars was collected. How many children attended that day? Let's write a Python program to solve it. | tiger_lab_math | [
0.016652850434184074,
0.010216210968792439,
-0.0420285165309906,
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0.04508702829480171,
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0.024845629930496216,
0.04209636524319649,
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0.025926373898983,
0.020856840535998344,
-0.02197914384305477,
-0.0124... | 0.804909 | 0.815798 | -0.010889 |
How long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 12km/hr?
Answer Choices: (A) 52sec (B) 45sec (C) 60sec (D) 25sec (E) 39sec | tiger_lab_math | [
0.03446192294359207,
0.0282447449862957,
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0.016298864036798477,
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0.06151862069964409,
0.05103054270148277,
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0.017013581469655037,
0.04557447507977486,
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-0.0232... | 0.783886 | 0.821636 | -0.03775 |
Harry needs to buy 5 spellbooks that each cost 5 gold, three potion kits that each cost 20 silver, and one owl that costs 28 gold. There are 9 silver to a gold. How much will Harry pay total, in silvers? Please respond by writing a program in Python. | tiger_lab_math | [
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0.02406800538301468,
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Ittymangnark and Kingnook are an Eskimo couple living in the most northern region of the Alaskan wilderness. Together, they live with their child, Oomyapeck. Every day Ittymangnark catches enough fish for the three of them to eat for the day and they split the fish equally between the three of them. But after they h... | tiger_lab_math | [
0.01564233936369419,
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Four red candies and three green candies can be combined to make many different flavors. Flavors are different if the percent red is different, so 3 red / 0 green is the same flavor as 2 red / 0 green; and likewise 4 red / 2 green is the same flavor as 2 red / 1 green. If a flavor is to be made using some or all of the... | tiger_lab_math | [
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one paper sheet can be used to create 8 paper boats or 6 paper planes . if total exact 80 paper toys are to be made , minimum how many sheets need to be used to make paper boats ? Let's write a program. | tiger_lab_math | [
0.04241696000099182,
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In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 56 liters and they are all empty, how much money total will it cost to fuel all cars?
Answer Choices: (A) 320.8$ (B) 387.8$ (C) 420.8$ (D) 457.8$ (E) 480.8$ | tiger_lab_math | [
0.014044304378330708,
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"statement 1": Ratio between Rahul and Deepak is 4 : 3 , After 6 Years Rahul age will be 26 years, "statement 2" :Ratio between Rahul and Deepak is less than 7 : 3 , After 6 Years Rahul age will be 26 years, "options: " Entailment or contradiction or neutral? Let's write a Python program to solve it. | tiger_lab_math | [
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0.0... | 0.813479 | 0.824573 | -0.011094 |
A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
Answer Choices: (A) 6790 (B) 6890 (C) 6700 (D) 2667 (E) 2671 Let's write a program. | tiger_lab_math | [
0.011414168402552605,
0.012124917469918728,
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0.04414023831486702,
0.02030603215098381,
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-0.... | 0.795913 | 0.823326 | -0.027412 |
if 3 / p = 4 & 3 / q = 18 then p - q = ? Let's write a Python program to solve it. | tiger_lab_math | [
0.016970379278063774,
0.024331551045179367,
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0.04720444604754448,
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0.03960226848721504,
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-0... | 0.814931 | 0.840598 | -0.025667 |
Find the one which does not belong to that group?
Answer Choices: (A) 16 (B) 36 (C) 77 (D) 64 (E) 4 | tiger_lab_math | [
0.03638321906328201,
0.012215024791657925,
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0.039043594151735306,
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What is the sum of the multiples of 4 between 13 and 125 inclusive?
Answer Choices: (A) 1,890 (B) 1,960 (C) 2,200 (D) 3,780 (E) 4,400 | tiger_lab_math | [
0.016860874369740486,
0.017330700531601906,
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0.05312037840485573,
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0.04248315468430519,
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0.016426876187324524,
0.04498038440942764,
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... | 0.810403 | 0.839997 | -0.029594 |
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle?
Answer Choices: (A) 22 (B) 37 (C) 87 (D) 84 (E) 82 | tiger_lab_math | [
0.01343384850770235,
0.03405670449137688,
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0.047780681401491165,
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0.009259043261408806,
0.032218027859926224,
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Passage: In November 1944, after Greece was liberated from Germany, old drachmae were exchanged for new ones at the rate of 50,000,000,000 to 1. Only paper money was issued. The government issued notes of 1, 5, 10 and 20 drachmae, with the Bank of Greece issuing 50-, 100-, 500-, 1000-, 5000-, and 10,000-drachma notes. ... | tiger_lab_math | [
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0.007056141272187233,
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-0.01... | 0.748087 | 0.781189 | -0.033103 |
A bus takes 3 hours to cover a distance of 500 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/3th of the previous time?
Answer Choices: (A) 75 Kmph (B) 100 Kmph (C) 90 Kmph (D) 65 Kmph (E) 70 Kmph | tiger_lab_math | [
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0.026230471208691597,
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Max has a collection of stamps in three colors: 20 red stamps, 80 blue stamps and 7 yellow ones. He is trying to sell the whole collection. He already sold 20 red stamps for the price of $1.1 for each stamp and 80 blue stamps for the price of $0.8 for each stamp. What price did he need to set for each yellow stamp to b... | tiger_lab_math | [
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0.03706267476081848,
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-0.... | 0.824475 | 0.825209 | -0.000734 |
Consider the Hénon map given by the iterative equations:
x(n+1) = 1 - a * x(n)^2 + y(n)
y(n+1) = b * x(n)
where a = 1.4 and b = 0.3. Starting from the point (x(0), y(0)) = (0, 0), find the 100th iterate of the map. Round your answer to two decimal places. | tiger_lab_math | [
0.02426600642502308,
0.024121535941958427,
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0.032740477472543716,
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0.05757195129990578,
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0.020359035581350327,
0.03085451014339924,
-0.029109496623277664,
-0.0... | 0.84414 | 0.844908 | -0.000768 |
A shop owner sells 90 oranges and gains SP of 20 oranges. Find the gain %?
Answer Choices: (A) 25 4/7% (B) 27 4/7% (C) 30 4/7% (D) 29 4/7% (E) 28 4/7% | tiger_lab_math | [
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0.030061911791563034,
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0.041173405945301056,
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-... | 0.808578 | 0.834916 | -0.026337 |
BOQD : ERTG :: ANPC : ?
Answer Choices: (A) DQSF (B) FSHU (C) SHFU (D) DSQF (E) DSQU | tiger_lab_math | [
0.020980672910809517,
0.005774719174951315,
-0.029542600736021996,
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0.00870625302195549,
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0.04584561288356781,
0.048223115503787994,
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0.039666857570409775,
0.03739308938384056,
-0.01810636930167675,
-0.0... | 0.796316 | 0.818039 | -0.021723 |
Consider the function f(x) = x^3 - 6x^2 + 9x. Find the critical points of the function and identify whether each critical point corresponds to a maximum, minimum, or saddle point. | tiger_lab_math | [
0.026603082194924355,
0.0044053904712200165,
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0.025577588006854057,
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0.07790274173021317,
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0.01845991425216198,
0.0203015748411417,
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-0.... | 0.819026 | 0.8148 | 0.004226 |
A shopkeeper has 100 kg of apples. He sells 50% of these at 25% profit and remaining 50% at 30% profit. Find his % profit on total.
Answer Choices: (A) 27.5% (B) 25.6% (C) 31.5% (D) 35.9% (E) 29.5% | tiger_lab_math | [
0.036243636161088943,
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0.06463383138179779,
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0.006987318396568298,
0.05077187344431877,
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-0... | 0.797334 | 0.825508 | -0.028174 |
Passage: In Greensboro, 48.33% of the population is religiously affiliated. The largest religion in Greensboro is Christianity, with the most affiliates being either Baptist (11.85%) or Methodist (10.25%). The remaining Christian populations are Presbyterian (3.97%), Roman Catholic (3.71%), Pentecostal (2.61%), Episcop... | tiger_lab_math | [
0.03627569600939751,
0.008925437927246094,
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0.034703273326158524,
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0.041702792048454285,
0.05189104378223419,
0.011515118181705475,
0.029645366594195366,
0.01990536041557789,
-0.030701326206326485,
-0.0... | 0.725941 | 0.751347 | -0.025406 |
How many line segments are in the 4th iteration of the Vicsek fractal if the initial shape is a straight line segment of length 1? | tiger_lab_math | [
-0.015609401278197765,
0.00994598213583231,
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0.04616842046380043,
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0.012887467630207539,
0.032122910022735596,
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-0.... | 0.804719 | 0.822075 | -0.017356 |
a man swims downstream 28 km and upstream 12 km taking 2 hours each time , what is the speed of the man in still water ? Let's write a Python program to solve it. | tiger_lab_math | [
-0.004119482357054949,
0.014798840507864952,
-0.03903500735759735,
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0.02901223674416542,
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0.03922775387763977,
0.02891412191092968,
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0.020601211115717888,
0.03515652194619179,
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-0.02... | 0.807439 | 0.823805 | -0.016366 |
the center of a circle lies on the origin of the coordinate plane . if a point ( x , y ) is randomly selected inside of the circle , what is the probability that y > 0 and y > x ? Please write a program to solve it | tiger_lab_math | [
0.008580189198255539,
0.017676083371043205,
-0.042567674070596695,
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0.03653647378087044,
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0.037153854966163635,
0.04296750947833061,
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0.019836748018860817,
0.0278949998319149,
-0.032162126153707504,
-0.0... | 0.827586 | 0.82077 | 0.006815 |
Each person marked the table with an X on the day(s) he/she would not be able to attend a meeting. On which day can the most people attend a meeting?
\begin{tabular}{|l|c|c|c|c|c|}
\multicolumn{6}{c}{}\\\hline
&Mon&Tues&Wed&Thurs&Fri\\\hline
Anna&X&&X&&\\\hline
Bill&&X&&X&X\\\hline
Carl&X&X&&X&X\\\hline
\end{tabular} | tiger_lab_math | [
0.029058925807476044,
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0.039972178637981415,
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0.06631606817245483,
0.04969126731157303,
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0.01139846071600914,
0.037851493805646896,
-0.00830133818089962,
-0.... | 0.806545 | 0.806767 | -0.000222 |
Consider a graph G with 10 vertices and 15 edges. Determine whether G is a planar graph and, if not, find the girth of G. | tiger_lab_math | [
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0.02129654958844185,
0.029906464740633965,
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-... | 0.810807 | 0.811453 | -0.000647 |
The sum of the ages of three boys is 29. If two of the boys are the same age and the third boy is 11 years old, how old are the other two boys? | tiger_lab_math | [
0.022527724504470825,
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0.045623548328876495,
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0.03162198141217232,
0.020322687923908234,
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0.0282277949154377,
0.0625423789024353,
-0.05655454099178314,
-0.02550... | 0.790558 | 0.809848 | -0.01929 |
What is the radius of the 100th circle in the Apollonian gasket construction, given that the radii of the first three circles are 1, 1, and 2? | tiger_lab_math | [
0.03444804251194,
0.03428422287106514,
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0.028201580047607422,
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0.03460877761244774,
0.002214777981862426,
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0.015476776286959648,
0.02050476148724556,
-0.011604716069996357,
-0.016... | 0.802166 | 0.814491 | -0.012325 |
a thief is spotted by a policeman from a distance of 160 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ? Let's write a Python program. | tiger_lab_math | [
0.013821997679769993,
0.02273603156208992,
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0.023603370413184166,
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0.051259759813547134,
0.0476568229496479,
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0.026087578386068344,
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-... | 0.808966 | 0.818492 | -0.009527 |
Passage: Government efforts to lower subsidies to unprofitable enterprises and to shrink the money supply caused the semi-official exchange rate for the Cuban peso to move from a peak of 120 to the dollar in the summer of 1994 to 21 to the dollar by year-end 1999. The drop in GDP apparently halted in 1994, when Cuba re... | tiger_lab_math | [
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0.04520505294203758,
0.0003834901435766369,
0.002960648387670517,
0.07302066683769226,
0.019050540402531624,
0.012268786318600178,
0.01939959079027176,
0.00402451166883111,
-0.06182432547211647,
-0... | 0.728779 | 0.756922 | -0.028143 |
Suppose we want to encrypt the plaintext '11001011' using a Feistel cipher structure with a round function that takes a 4-bit input and outputs a 4-bit output. If the initial key is '0011' and we want to perform 2 rounds of encryption, what would be the ciphertext? | tiger_lab_math | [
0.02139781042933464,
0.038696929812431335,
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-0.03658980876207352,
0.04317659139633179,
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0.07129289209842682,
0.023265747353434563,
-0.009474935941398144,
0.02185448817908764,
0.004275538492947817,
-0.05042845755815506,
-0.01... | 0.811661 | 0.819658 | -0.007996 |
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Answer Choices: (A) 2 : 5 (B) 2 : 6 (C) 2 : 0 (D) 2 : 5 (E) 2 : 1 | tiger_lab_math | [
0.017506927251815796,
0.04054541885852814,
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0.018564561381936073,
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0.06798496097326279,
0.042522627860307693,
-0.008383233100175858,
0.024524908512830734,
0.039791736751794815,
-0.0030487601179629564,
-0... | 0.811996 | 0.825454 | -0.013458 |
If ‘DELHI’ is coded as ‘15’, ‘RAJASTHAN’ is coded as ’45’, then ‘MUMBAI’ is coded as ?
Answer Choices: (A) 24 (B) 21 (C) 18 (D) 19 (E) None | tiger_lab_math | [
0.009676079265773296,
0.014480600133538246,
-0.000826492439955473,
-0.046578262001276016,
0.0436997227370739,
-0.028330868110060692,
-0.014632154256105423,
0.05550554767251015,
0.0333375483751297,
-0.010075472295284271,
0.024877352640032768,
0.04337768256664276,
-0.03508641943335533,
-0.00... | 0.796084 | 0.822975 | -0.026891 |
Adam has 50 balls. 20 balls are red, 10 are blue, and the rest are either pink or orange. If there are 3 times as many pink as orange balls, how many orange balls are there? | tiger_lab_math | [
-0.014953704550862312,
0.007575246971100569,
-0.04361552372574806,
-0.02760903351008892,
0.02000751718878746,
-0.014725126326084137,
-0.012996614910662174,
0.06072239950299263,
0.029241036623716354,
-0.01838723197579384,
0.0015815901570022106,
0.036237481981515884,
-0.048811666667461395,
-... | 0.813722 | 0.826067 | -0.012346 |
From 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer?
Answer Choices: (A) 150 (B) 164 (C) 259 (D) 311 (E) 224 | tiger_lab_math | [
0.018915340304374695,
0.010367147624492645,
-0.019211258739233017,
-0.030742749571800232,
0.03642662242054939,
-0.04600529000163078,
-0.027191072702407837,
0.03274036943912506,
0.037672702223062515,
-0.009465784765779972,
0.012920164503157139,
0.02809751033782959,
-0.020126206800341606,
-0... | 0.804656 | 0.826081 | -0.021425 |
Jessica is making an apple pie. She knows that each serving requires 1.5 apples and she has 12 quests. She plans to make 3 pies, which each contain 8 servings. If her guests finish all the pie, on average , how many apples does each guest eat? | tiger_lab_math | [
0.015411497093737125,
0.020942755043506622,
-0.03943093493580818,
-0.042472004890441895,
0.01886967569589615,
-0.031082939356565475,
-0.016559777781367302,
0.044238269329071045,
0.012111569754779339,
-0.01766672357916832,
0.03505495935678482,
0.01840769127011299,
-0.028467532247304916,
-0.... | 0.811276 | 0.817577 | -0.006301 |
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Answer Choices: (A) 300 (B) 350 (C) 360 (D) 370 (E) 380 | tiger_lab_math | [
0.025964288040995598,
0.006840316578745842,
-0.038461580872535706,
-0.046131882816553116,
0.024736005812883377,
-0.05557398125529289,
-0.043256305158138275,
0.040881626307964325,
0.02962086722254753,
-0.01801721379160881,
0.025218859314918518,
0.036853983998298645,
-0.03123917430639267,
-0... | 0.801642 | 0.830162 | -0.02852 |
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 % , what is the total capacity of the pool in gallons ? Let's write a Python program... | tiger_lab_math | [
0.014372089877724648,
0.042600907385349274,
-0.02389500103890896,
-0.02621958777308464,
0.027140626683831215,
-0.06499750167131424,
-0.014414655975997448,
0.05319748818874359,
0.020136181265115738,
-0.015434961766004562,
0.01128955464810133,
0.031658973544836044,
-0.06935779005289078,
-0.0... | 0.797754 | 0.804235 | -0.006481 |
A furniture manufacturing company produces two types of chairs, A and B. Each chair A requires 2 hours of woodcutting and 3 hours of assembling, while each chair B needs 3 hours of woodcutting and 2 hours of assembling. The company has 90 hours of woodcutting and 80 hours of assembling available each week. If the profi... | tiger_lab_math | [
0.014564493671059608,
0.005420324858278036,
-0.06005224213004112,
-0.004336691461503506,
0.018955837935209274,
-0.01627948507666588,
-0.030279813334345818,
0.07508493214845657,
0.03772532939910889,
-0.011518104001879692,
0.030066905543208122,
0.03415730223059654,
-0.02508033625781536,
-0.0... | 0.816138 | 0.814917 | 0.001221 |
Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 48. No two digits of h are identical. How many different numbers are possible values of h?
Answer Choices: (A) 6 (B) 12 (C) 24 (D) 36 (E) 42 | tiger_lab_math | [
0.03570713475346565,
0.01660824380815029,
-0.000880136271007359,
-0.010539217852056026,
0.06345101445913315,
-0.025577912107110023,
-0.019038544967770576,
0.051458414644002914,
0.044296540319919586,
-0.02007691189646721,
0.010332680307328701,
0.040935590863227844,
-0.023008957505226135,
-0... | 0.802621 | 0.824492 | -0.02187 |
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Answer Choices: (A) 140 sq.units (B) 186 sq.units (C) 176 sq.units (... | tiger_lab_math | [
0.020160052925348282,
0.0360824353992939,
-0.051928818225860596,
-0.03939582407474518,
0.01926226168870926,
-0.03371017426252365,
-0.020061250776052475,
0.06336814910173416,
0.03880326449871063,
-0.009724734351038933,
0.02225944586098194,
0.029806258156895638,
-0.026782413944602013,
-0.014... | 0.811677 | 0.8178 | -0.006123 |
The speeds of three motor bikes are in the ratio 6 : 4 : 2. The ratio between the time taken by them to travel the same distance is :
Answer Choices: (A) 2 : 5 : 6 (B) 2 : 4 : 6 (C) 2 : 3 : 6 (D) 2 : 3 : 7 (E) 1 : 3 : 6 | tiger_lab_math | [
0.04423586279153824,
0.011060451157391071,
-0.03305038437247276,
-0.0181907806545496,
0.04481522738933563,
-0.020451877266168594,
-0.03757127374410629,
0.05547491833567619,
0.02640841342508793,
-0.006735358852893114,
0.02242151089012623,
0.03273053839802742,
-0.012868975289165974,
-0.01699... | 0.805157 | 0.821341 | -0.016184 |
A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability L that the first ball picked up is odd numbered?
Answer Choices: (A) 0 (B) 1/3 (C) 1/2 (D) 2/3 (E) 1 | tiger_lab_math | [
0.012471540831029415,
0.009216364473104477,
-0.04447454586625099,
-0.03103679232299328,
0.03484069183468819,
-0.016708770766854286,
-0.010477729141712189,
0.05385727807879448,
0.0244497898966074,
-0.016325529664754868,
0.009267534129321575,
0.028995173051953316,
-0.026834510266780853,
-0.0... | 0.817772 | 0.825071 | -0.007299 |
What is the smallest perfect number greater than 10,000? | tiger_lab_math | [
0.00582459568977356,
0.04477979987859726,
-0.03135985508561134,
-0.017612731084227562,
0.014167284592986107,
-0.024377118796110153,
-0.022451629862189293,
0.008474262431263924,
0.025608005002141,
-0.027376901358366013,
0.02102893590927124,
0.03339900076389313,
-0.015603508800268173,
-0.032... | 0.789492 | 0.818598 | -0.029106 |
Find the sum of first 35 odd numbers
Answer Choices: (A) 4900 (B) 3000 (C) 1250 (D) 1200 (E) 1225 Let's write a Python program to solve it. | tiger_lab_math | [
0.015500410459935665,
0.01735493168234825,
-0.01399211585521698,
-0.03862699866294861,
0.027302434667944908,
-0.023950757458806038,
-0.015564239583909512,
0.04088061675429344,
0.03632353991270065,
-0.002761556999757886,
0.02840188890695572,
0.02963598072528839,
-0.037708453834056854,
-0.03... | 0.80545 | 0.827851 | -0.0224 |
What is the number of non-isomorphic groups of order 120, and can you provide a list of those groups with their corresponding isomorphism types? | tiger_lab_math | [
0.023920152336359024,
0.00700379628688097,
-0.03238436207175255,
-0.04933656007051468,
0.019586091861128807,
-0.03304693102836609,
-0.009157301858067513,
0.02319127507507801,
0.027450738474726677,
-0.02079462632536888,
0.024972299113869667,
0.02059805765748024,
-0.03943338245153427,
-0.025... | 0.796582 | 0.806589 | -0.010008 |
the volume of a cube is 343 cc . find its surface . Let's write a Python program. | tiger_lab_math | [
0.006862849462777376,
0.04189057648181915,
-0.040259283035993576,
-0.01713683269917965,
0.04018818587064743,
-0.03438938409090042,
-0.03715239465236664,
0.03571266680955887,
0.037207771092653275,
-0.005702379159629345,
0.04552213475108147,
0.04047807678580284,
-0.02014051377773285,
-0.0056... | 0.801695 | 0.811712 | -0.010017 |
in one year , the population , of a village increased by 20 % and in the next year , it decreased by 20 % . if at the end of 2 nd year , the population was 9600 , what was it in the beginning ? Let's write a Python program. | tiger_lab_math | [
0.009577397257089615,
0.02504127100110054,
-0.05042062699794769,
-0.017932534217834473,
0.0431978814303875,
-0.05240185186266899,
-0.02326609008014202,
0.06296268105506897,
0.030270317569375038,
0.0013109634164720774,
0.013029496185481548,
0.025657089427113533,
-0.061704475432634354,
0.006... | 0.799257 | 0.814198 | -0.014941 |
Olaf has an aquarium. He has fish in 3 different colors: orange, green, and blue. Blue fish make up half of all the fish in the aquarium. There are 15 fewer orange fish than blue fish. How many green fish are there when the total number of fish in the aquarium is 80? | tiger_lab_math | [
-0.015084884129464626,
0.0029550560284405947,
-0.05764634162187576,
-0.04544704779982567,
0.028606995940208435,
-0.030930766835808754,
-0.033633459359407425,
0.05779433250427246,
0.04669224098324776,
-0.021277092397212982,
0.006047192495316267,
0.020747043192386627,
-0.03812730684876442,
-... | 0.804941 | 0.813892 | -0.008952 |
Zoe goes to the store to buy soda and pizza for herself and her 5 family members. Each bottle of soda costs half a dollar and each slice of pizza costs $1. Before she leaves her house she takes just enough money to pay for her purchase. How much money did Zoe take? Please write a program to solve it | tiger_lab_math | [
0.020293615758419037,
0.03102863021194935,
-0.0367986336350441,
-0.02077040635049343,
0.03914405032992363,
-0.01785813644528389,
-0.016478322446346283,
0.04048362746834755,
0.03152506798505783,
-0.042700182646512985,
0.030499406158924103,
0.026846587657928467,
-0.03671233728528023,
-0.0341... | 0.820856 | 0.827917 | -0.007061 |
how many positive integers will divide evenly into 190 ? Please write a program to solve it | tiger_lab_math | [
0.013255256228148937,
0.003850070293992758,
-0.04423198476433754,
-0.05088179185986519,
0.014630749821662903,
-0.035033270716667175,
-0.01940097101032734,
0.03298858925700188,
0.04482053965330124,
-0.03941703215241432,
0.02507559210062027,
0.049714505672454834,
-0.05480398237705231,
-0.020... | 0.819264 | 0.838028 | -0.018764 |
The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 6400 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Answer Choices: (A) 25/2 (B) 25/4 (C) 25/8 (D) ... | tiger_lab_math | [
0.03497033938765526,
0.014679785817861557,
-0.015527627430856228,
-0.03367065638303757,
0.02982226572930813,
-0.027267703786492348,
-0.043695371598005295,
0.07411056756973267,
0.044396333396434784,
-0.022104987874627113,
0.006759013049304485,
0.025327175855636597,
-0.027533553540706635,
-0... | 0.801112 | 0.83308 | -0.031968 |
The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?
Answer Choices: (A) 20% (B) 40% (C) 21% (D) 44% (E) 48% | tiger_lab_math | [
-0.00707916310057044,
0.00535659259185195,
-0.043043386191129684,
-0.03249718248844147,
0.03702015057206154,
-0.03732030838727951,
-0.03374893218278885,
0.0634804368019104,
0.051110606640577316,
-0.005710684694349766,
0.024231962859630585,
0.020083431154489517,
-0.04281354695558548,
-0.006... | 0.791401 | 0.811275 | -0.019873 |
What values of the parameters a, b, and c in the Rössler system equation
dx/dt = -y - z
dy/dt = x + ay
dz/dt = b + z(x-c)
must be used in order to obtain a chaotic attractor? | tiger_lab_math | [
0.03566521406173706,
0.013829734176397324,
-0.05266585946083069,
-0.030700813978910446,
0.03522922471165657,
-0.022712640464305878,
-0.01727575995028019,
0.04157836362719536,
0.025094348937273026,
-0.022367943078279495,
-0.002110903151333332,
0.034392762929201126,
-0.04355587065219879,
-0.... | 0.806013 | 0.824506 | -0.018493 |
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $186, how many hours overtime did he work?
Answer Choices: (A) 8 (B) 5 (C) 9 (D) 6 (E) 11 | tiger_lab_math | [
0.012185581028461456,
-0.010548864491283894,
-0.02521790936589241,
-0.02087351121008396,
0.038479048758745193,
-0.031917281448841095,
-0.022061552852392197,
0.04125922545790672,
0.026424488052725792,
0.0059134881012141705,
0.03717735409736633,
0.0412016361951828,
-0.0634433925151825,
-0.04... | 0.792833 | 0.824081 | -0.031248 |
To make a living, Carl needs to drive a car for 2 hours every day. After he got promoted he needs to drive for 6 more hours every week. How many hours will Carl drive in two weeks? | tiger_lab_math | [
-0.00870488490909338,
0.0053720250725746155,
-0.02418839931488037,
-0.013061121106147766,
-0.0007352510583586991,
-0.024543123319745064,
-0.047360751777887344,
0.06392276287078857,
0.016204791143536568,
-0.02161652036011219,
0.01377771981060505,
0.021904362365603447,
-0.030586199834942818,
... | 0.778651 | 0.795268 | -0.016617 |
Marco uses a fifth of an ounce of dry tea leaves to brew his morning cup of tea each day. He buys tea leaves in boxes of 28 ounces. How many weeks of daily tea does Marco get from a box? Please respond by writing a program in Python. | tiger_lab_math | [
0.03746761381626129,
0.038312897086143494,
-0.05308857187628746,
-0.03125927597284317,
0.034984905272722244,
-0.048224903643131256,
-0.03421049565076828,
0.044806838035583496,
0.013217783533036709,
-0.01280419621616602,
0.015132766216993332,
0.011624404229223728,
-0.04621055722236633,
-0.0... | 0.790936 | 0.803299 | -0.012363 |
The base-10 numbers 217 and 45 are multiplied. The product is then written in base-6. What is the units digit of the base-6 representation? Please respond by writing a program in Python. | tiger_lab_math | [
0.03214365243911743,
0.01700623147189617,
-0.024668313562870026,
-0.039220862090587616,
0.054674308747053146,
-0.03147187829017639,
-0.022650158032774925,
0.0630984976887703,
0.021512938663363457,
-0.028876593336462975,
0.029908880591392517,
0.04658772051334381,
-0.058492619544267654,
-0.0... | 0.809029 | 0.833518 | -0.024489 |
A math student is studying Mirror symmetry in Algebraic geometry and needs to solve the following precise numerical problem:
Given a Calabi-Yau manifold X with Hodge numbers h¹¹(X) = 1 and h²¹(X) = 101, what is the dimension of its mirror manifold Y? | tiger_lab_math | [
0.02870597317814827,
0.009531299583613873,
-0.035557184368371964,
-0.06796900928020477,
0.0378711000084877,
-0.009030812419950962,
-0.022959554567933083,
0.04940466582775116,
0.04782944917678833,
-0.017805885523557663,
-0.0012185003142803907,
0.029205074533820152,
-0.035400308668613434,
-0... | 0.824071 | 0.821457 | 0.002614 |
Carrie wants to take a trip to New York. She can get a 20% discount on an $850 flight with Delta Airlines. She can also save 30% off an $1100 flight with United Airlines. How much money would she save by choosing the cheapest flight? | tiger_lab_math | [
0.0004908441915176809,
0.013513877987861633,
-0.05168720707297325,
-0.04023239389061928,
0.03747139498591423,
-0.012786926701664925,
-0.03260765224695206,
0.07774198055267334,
0.057995785027742386,
-0.016038864850997925,
0.025501038879156113,
0.02512134425342083,
-0.032659027725458145,
-0.... | 0.790555 | 0.800744 | -0.010188 |
Shiloh rolls a ball over a piece of sandpaper and notices that the ball move at a seed of 347 cm/s Shiloh then rolls his ball over a piece of glass, and the ball rolls at a speed of 7 m/s. The ball rolled quickly on the piece of glass because the glass had? "Option 1": more friction, "Option 2" :less friction. Let's w... | tiger_lab_math | [
0.004938909783959389,
0.03591381385922432,
-0.04252766817808151,
-0.033223289996385574,
0.04621510952711105,
-0.01975606381893158,
-0.04779323190450668,
0.08214540779590607,
0.05612211674451828,
-0.004015369340777397,
0.014260202646255493,
0.02941209450364113,
-0.02686028741300106,
-0.0059... | 0.804354 | 0.812037 | -0.007683 |
Cindy had 20 marbles which is 5 more than what Lisa had. If Cindy gave her 12 marbles, how many more marbles does Lisa have now? | tiger_lab_math | [
-0.01469237357378006,
0.031542956829071045,
-0.051499366760253906,
-0.03890642896294594,
0.04212335869669914,
-0.025783691555261612,
-0.03992588818073273,
0.06060852110385895,
0.038431357592344284,
-0.03266960754990578,
0.0010030613048002124,
0.03638257458806038,
-0.04331861436367035,
-0.0... | 0.796437 | 0.815466 | -0.019029 |
You have 24 cookies and want to share them equally with 6 people. Each person would get _____ cookies . Please write a program to solve it | tiger_lab_math | [
0.00834989920258522,
0.02885623276233673,
-0.02344289980828762,
-0.029512153938412666,
0.03125965595245361,
-0.03440741449594498,
-0.005798352416604757,
0.054229553788900375,
0.028303619474172592,
-0.04636280611157417,
0.03953611105680466,
0.026835357770323753,
-0.03368944674730301,
-0.028... | 0.819223 | 0.83029 | -0.011067 |
An element is randomly chosen from among the first $15$ rows of Pascal's Triangle. What is the probability that the value of the element chosen is $1$?
Note: The 1 at the top is often labelled the "zeroth" row of Pascal's Triangle, by convention. So to count a total of 15 rows, use rows 0 through 14. | tiger_lab_math | [
0.027315668761730194,
0.01943838968873024,
-0.038016606122255325,
-0.03339139372110367,
0.04231585934758186,
-0.021257884800434113,
-0.004211058374494314,
0.05260205641388893,
0.018401464447379112,
0.010583114810287952,
0.025219358503818512,
0.013649316504597664,
-0.021048085764050484,
-0.... | 0.835304 | 0.821066 | 0.014238 |
Ratio between Rahul and Deepak is 5:2, After 6 Years Rahul age will be 26 years. What is Deepak present age.
Answer Choices: (A) 14 (B) 15 (C) 8 (D) 22 (E) 24 | tiger_lab_math | [
0.026711411774158478,
0.021678902208805084,
-0.0216237660497427,
-0.04686560109257698,
0.032365258783102036,
-0.02269168198108673,
-0.0057764616794884205,
0.05534449592232704,
0.020712347701191902,
-0.02653452567756176,
0.0389736033976078,
0.045418888330459595,
-0.0172687079757452,
0.00606... | 0.789176 | 0.821634 | -0.032457 |
In a class of 60 students, 30 are majoring in Statistics, 35 in Calculus, and 40 in Geometry. 15 students are majoring in both Statistics and Calculus, 20 in both Statistics and Geometry, and 25 in both Calculus and Geometry. If 5 students are not majoring in any of the three subjects, how many students are majoring in... | tiger_lab_math | [
0.009855154901742935,
0.01509272400289774,
-0.05778078734874725,
-0.028106005862355232,
0.047679636627435684,
-0.00860136840492487,
-0.03317020833492279,
0.04594312608242035,
0.014260172843933105,
-0.028162529692053795,
0.02100956067442894,
0.028745653107762337,
-0.01903216913342476,
-0.04... | 0.817462 | 0.822563 | -0.005101 |
Consider a graph G with 6 vertices and the following edges: $(1,2)$, $(1,4)$, $(2,3)$, $(2,4)$, $(3,4)$, $(3,5)$, and $(4,6)$. Determine the chromatic polynomial of G. | tiger_lab_math | [
0.022469857707619667,
0.030126165598630905,
-0.03183935582637787,
-0.033506523817777634,
0.027262676507234573,
-0.055056121200323105,
-0.026169804856181145,
0.026422981172800064,
0.019870992749929428,
-0.015300421975553036,
0.031830839812755585,
0.03296753391623497,
-0.017528602853417397,
... | 0.83578 | 0.829682 | 0.006098 |
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Answer Choices: (A) 1:2 (B) 2:5 (C) 6"2 (D) 3:1 (E) 4:7 | tiger_lab_math | [
0.03242667019367218,
0.003158948151394725,
-0.03944352641701698,
-0.03537463769316673,
0.031515564769506454,
-0.04188578575849533,
-0.01745421625673771,
0.07073544710874557,
0.024235442280769348,
-0.010892309248447418,
0.004785724449902773,
0.029331762343645096,
-0.040571168065071106,
-0.0... | 0.800556 | 0.822566 | -0.02201 |
Josh has some money. He spent $1.75 on a drink, and then spent another $1.25. If he had $6 left, how much money, in dollars, did Josh have at first? | tiger_lab_math | [
0.024692853912711143,
0.014719882048666477,
-0.02556661143898964,
-0.033551935106515884,
0.02568953111767769,
-0.01141598541289568,
-0.027535343542695045,
0.051374901086091995,
0.01733238436281681,
-0.03052780032157898,
0.021363599225878716,
0.014711307361721992,
-0.043863579630851746,
-0.... | 0.790303 | 0.817435 | -0.027132 |
What is the smallest number of states a Deterministic Finite Automata (DFA) must have to accept the language given by the regular expression (a + b)*abb? | tiger_lab_math | [
0.011539429426193237,
0.023112690076231956,
-0.035005394369363785,
-0.0512159988284111,
0.03917131572961807,
-0.009437520988285542,
-0.009699143469333649,
0.05256247892975807,
0.012795600108802319,
-0.016955753788352013,
0.013337554410099983,
0.044609587639570236,
-0.013412639498710632,
-0... | 0.804388 | 0.8297 | -0.025311 |
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