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 |
|---|---|---|---|---|---|
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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A parking garage rents parking spaces for $12 per week or $30 per month. How much does a person save in a year by renting by the month rather than by the week?
Answer Choices: (A) $140 (B) $160 (C) $220 (D) $240 (E) $264 Let's write a Python program. | tiger_lab_math | [
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Chenny bought 9 plates at $2 each. She also bought spoons at $1.50 each. How many spoons did Chenny buy if she paid a total of $24 for the plates and spoon? | tiger_lab_math | [
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Avery opens a flower shop. She ties 8 bunches of flowers with 9 flowers in each bunch. How many bunches would she have if she put 12 flowers in each bunch instead? | tiger_lab_math | [
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Compute the sum of the geometric series $-1 -3-9-27 -81-243-729$. Let's program in Python in the response. | tiger_lab_math | [
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The function f: U_5 o U_5 given by f(x) = x^2 is a homomorphism. What is K_f? | tiger_lab_math | [
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If a is a positive integer then 5^(2a) + (625^a)/(5^(2a)) =
Answer Choices: (A) 25^a (B) 24^a (C) 2 × 25^a (D) 55^a (E) 5/25^a | tiger_lab_math | [
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Sum of two number is 1000 and the sum of their recipocal is 2/255.Let the smallest of 2 number be L, so which of the following is correct value range for L?
Answer Choices: (A) 100 (B) 150 (C) 180 (D) 200 (E) 220 | tiger_lab_math | [
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If 30/x is an integer and 3/x is an integer, which of the following must be true?
I. 10/x is an integer
II. 3/x is an integer
III. 6/x is an integer
Answer Choices: (A) II only (B) I only (C) III only (D) II,III only (E) I,III only | tiger_lab_math | [
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A line has a slope of 3/4 and intersects the point Q (-12, -39). At which point does this line intersect the x-axis?
Answer Choices: (A) (40,0) (B) (30,0) (C) (0,40) (D) (40,30) (E) (0,30) | tiger_lab_math | [
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on teacher ' s day , sweets were to be equally distributed among 190 children in a school . actually , on the teacher ' s day , 70 children were absent and therefore each child got 14 sweets extra . how many sweets did each child get on that day ? Let's write a program. | tiger_lab_math | [
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Suppose we have an eight-bit block of plaintext (10111010) that we want to encrypt using a Feistel cipher with two rounds of encryption. The subkeys for each round are K1 = 01110100 and K2 = 10101010. Using the Feistel cipher structure, what will be the resulting ciphertext? | tiger_lab_math | [
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Two players, John and Jane, are playing a game. John can choose between two strategies: strategy A or strategy B. Jane can also choose between two strategies: strategy C or strategy D. The payoff matrix for the game is as follows:
| C | D |
----|----|----|
A | 1 | -1 |
----|----|----|
B | -2 | 3 |
W... | tiger_lab_math | [
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Passage: The total number of full-time equivalent jobs was 21,624. The number of jobs in the primary sector was 38, of which 20 were in agriculture and 18 were in forestry or lumber production. The number of jobs in the secondary sector was 5,433 of which 4,234 or (77.9%) were in manufacturing, 9 or (0.2%) were in mini... | tiger_lab_math | [
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Sam taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?
Answer Choices: (A) A... | tiger_lab_math | [
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Twenty switches in an office computer network are to be connected so that each switch has a direct connection to exactly three other switches. How many connections will be necessary? | tiger_lab_math | [
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For his birthday, Aku invited 4 friends. His mother bought 3 packages of cookies each containing 25 cookies. After playing football, the children came to eat and celebrate Aku's 10th birthday, each eating an equal number of all the cookies. Calculate the number of cookies that each child will eat. Let's write a Python ... | tiger_lab_math | [
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A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left.
Answer Choices: (A) 8 km/h (B) 10 km/h (C) 12 km/h (D) 14 km/h (E) 16 km/h Please write a program to solve it | tiger_lab_math | [
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A math student needs to find the derivative of the function f(x) = 2sin(3x). | tiger_lab_math | [
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There are 42 apples in a crate. 12 crates of apples were delivered to a factory. 4 apples were rotten and had to be thrown away. The remaining apples were packed into boxes that could fit 10 apples each. How many boxes of apples were there? | tiger_lab_math | [
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What is the perimeter of the figure shown? [asy]
draw((0,0)--(0,2)--(1,2+sqrt(3))--(2,2)--(4,2)--(4,0)--(3,-sqrt(3))--(2,0)--cycle);
draw((-.2,1)--(.2,1));
draw((3.8,1)--(4.2,1));
draw((1,-.2)--(1,.2));
draw((3,1.8)--(3,2.2));
draw((0.15,0)--(0.15,0.15)--(0,0.15));
draw((3.85,2)--(3.85,1.85)--(4,1.85));
label("... | tiger_lab_math | [
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15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 6 hrs . each would it take for 21 women if 3 women do as much work as 2 men ? Please write a program to solve it | tiger_lab_math | [
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Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if all three triplets are in the starting lineup? | tiger_lab_math | [
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To pass the time while she is waiting somewhere Carla likes to count things around her. While she is waiting for school to start on Monday she counts the tiles on the ceiling--38. While she is waiting for everyone to finish their tests after she has handed in hers, she counts the books in the room--75. On Tuesday Carla... | tiger_lab_math | [
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a circular well with a diameter of 4 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ? Let's program in Python in the response. | tiger_lab_math | [
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Farmer Randy has 1700 acres of cotton he needs to have planted in 5 days. With a crew of 2 tractors working for 2 days and then a crew of 7 tractors working for another 3 days, how many acres of cotton per day does each tractor need to plant to meet their planting deadline? | tiger_lab_math | [
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if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? Please respond by writing a program in Python. | tiger_lab_math | [
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find the value of ( 19 + 43 / 151 ) × 151 ? Let's program in Python in the response. | tiger_lab_math | [
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0.00505... | 0.807382 | 0.838626 | -0.031244 |
In the Beauty Contest Game, suppose there are three players and the game is played for three rounds. Each player is asked to choose a number between 0 and 100 inclusive. The winner of each round is the player whose number is closest to two-thirds of the average of the numbers chosen by all players. The winner of the ga... | tiger_lab_math | [
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A manufacturing company produces two products, product A and product B. The profit for each unit of product A is $8 and the profit for each unit of product B is $10. The company has a production capacity of 2000 units per day. The production process of each product requires two resources that are limited to a total of ... | tiger_lab_math | [
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-0.038... | 0.805545 | 0.795487 | 0.010058 |
Let $\mathbf{a} = \begin{pmatrix} 7 \\ -4 \\ -4 \end{pmatrix}$ and $\mathbf{c} = \begin{pmatrix} -2 \\ -1 \\ 2 \end{pmatrix}.$ Find the vector $\mathbf{b}$ such that $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ are collinear, and $\mathbf{b}$ bisects the angle between $\mathbf{a}$ and $\mathbf{c}.$
[asy]
unitsize(0.5... | tiger_lab_math | [
0.04601232334971428,
0.026258420199155807,
-0.057340219616889954,
-0.04047757759690285,
0.03663754463195801,
-0.01679571159183979,
-0.02038746140897274,
0.06811007112264633,
0.029742257669568062,
-0.005853865761309862,
0.011530261486768723,
0.028717318549752235,
-0.02348789945244789,
-0.00... | 0.830138 | 0.813712 | 0.016426 |
Let $a$ and $b$ be real numbers. Find the maximum value of $a \cos \theta + b \sin \theta$ in terms of $a$ and $b.$ | tiger_lab_math | [
0.029280269518494606,
0.030475586652755737,
-0.048657070845365524,
-0.028882218524813652,
0.028081756085157394,
-0.0043416330590844154,
-0.011162855662405491,
0.0445978157222271,
0.039085790514945984,
-0.023136546835303307,
0.01828691177070141,
0.0383002907037735,
-0.028281863778829575,
-0... | 0.846148 | 0.832657 | 0.01349 |
A rectangular table, kept against a wall has a three sides free and the wall along the fourth side. The side opposite the wall is twice the length of each of the other two free sides. If the area of the rectangular table is 128 square feet, what is the total length of the table free sides, in feet?
Answer Choices: (A) ... | tiger_lab_math | [
0.03939112648367882,
0.017521996051073074,
-0.04066924378275871,
-0.01794254779815674,
0.04340223968029022,
-0.0276173148304224,
-0.013018576428294182,
0.07504339516162872,
0.050153493881225586,
0.008855034597218037,
0.023340212181210518,
0.045476652681827545,
-0.045379336923360825,
-0.019... | 0.810561 | 0.830718 | -0.020157 |
Consider the reaction-diffusion system given by the following partial differential equation:
$$ \frac{\partial u}{\partial t} = D_u \nabla^2 u + f(u,v) $$
$$ \frac{\partial v}{\partial t} = D_v \nabla^2 v + g(u,v) $$
where $u$ and $v$ are the concentrations of two chemical species, $D_u$ and $D_v$ are the diffusion ... | tiger_lab_math | [
0.0003542278427630663,
0.018154235556721687,
-0.05698932707309723,
-0.028822334483265877,
0.0329940989613533,
-0.03432696685194969,
-0.0329933762550354,
0.09813687205314636,
0.034183673560619354,
-0.01418759860098362,
0.02426798827946186,
0.016115298494696617,
-0.025610949844121933,
-0.014... | 0.808406 | 0.801535 | 0.006871 |
What will come in place of the x in the following Number series? 25, 100, 400, 1600, 6400, X
Answer Choices: (A) 64000 (B) 69000 (C) 25600 (D) 75000 (E) 79000 | tiger_lab_math | [
0.02301398105919361,
0.02046484872698784,
-0.02061212621629238,
-0.024278992787003517,
0.02433592826128006,
-0.05900869145989418,
-0.028457188978791237,
0.07139908522367477,
0.05258212238550186,
-0.02653256617486477,
0.029779544100165367,
0.03284168615937233,
-0.037009097635746,
-0.0245430... | 0.801983 | 0.835773 | -0.033789 |
Suppose that in a certain population, 5% of individuals have a rare medical condition. If a doctor randomly selects 50 patients from this population, what is the probability that at least one of the selected patients has this medical condition? | tiger_lab_math | [
0.008100618608295918,
0.004408621229231358,
-0.04081003740429878,
-0.02914194017648697,
0.040423110127449036,
-0.020056450739502907,
-0.006552723236382008,
0.05231762304902077,
0.03874244540929794,
-0.01740643009543419,
0.0019163729157298803,
0.028359171003103256,
-0.012840310111641884,
-0... | 0.812199 | 0.815973 | -0.003773 |
David swims the 100-meter freestyle in 48 seconds. He swims the 100-meter backstroke 4 seconds slower than he swims the 100-meter freestyle, he swims the 100-meter butterfly 3 seconds slower than he swims the 100-meter backstroke, and he swims the 100-meter breaststroke 2 seconds slower than he swims the 100-meter but... | tiger_lab_math | [
-0.006275844294577837,
0.006287234835326672,
-0.0316418781876564,
-0.05352335423231125,
0.021912820637226105,
-0.007948951795697212,
-0.039583075791597366,
0.05437437444925308,
0.05667978152632713,
0.002616666490212083,
0.005804499611258507,
0.022925136610865593,
-0.042303770780563354,
-0.... | 0.79281 | 0.810261 | -0.017451 |
A man buys a cycle for Rs.1400 and sells it at a loss of 10%. What is the selling price of the cycle?
Answer Choices: (A) Rs.1090 (B) Rs.1160 (C) Rs.1190 (D) Rs.1202 (E) NONE | tiger_lab_math | [
-0.0017913510091602802,
0.00448475731536746,
-0.03496835380792618,
-0.027364391833543777,
0.042541928589344025,
-0.02713817171752453,
-0.003729559713974595,
0.047729767858982086,
0.03113679587841034,
-0.020337199792265892,
0.013679888099431992,
0.02669997327029705,
-0.0373968780040741,
-0.... | 0.79218 | 0.821938 | -0.029758 |
Using the Hill Cipher with a 2x2 key matrix, encrypt the message "MATH" where A=0, B=1, C=2, and so on. Let the key matrix be [5 7; 3 8]. | tiger_lab_math | [
0.05157649517059326,
0.017210014164447784,
-0.02564905397593975,
-0.0447634756565094,
0.040484052151441574,
-0.03728572279214859,
-0.03870818391442299,
0.05518230423331261,
0.03191607818007469,
-0.033922888338565826,
0.009558076970279217,
0.02065884880721569,
-0.03000306710600853,
-0.01637... | 0.815918 | 0.812522 | 0.003396 |
The population of a town increases by 10% per annum for two years then decreases by 10% per annum for the next two years, if the population of the town four year ago was 10000, what would it be today?
Answer Choices: (A) 9500 (B) 9801 (C) 10100 (D) 9000 (E) None of these | tiger_lab_math | [
0.03979840502142906,
0.024202678352594376,
-0.036215491592884064,
-0.008959988132119179,
0.042396318167448044,
-0.05033319070935249,
-0.025560425594449043,
0.06200249120593071,
0.040884364396333694,
-0.014184798114001751,
0.016423944383859634,
0.0241002906113863,
-0.04853080213069916,
-0.0... | 0.796003 | 0.826199 | -0.030195 |
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/10000 that a person who randomly guesses the answer to each question will be a winner?
Answer Cho... | tiger_lab_math | [
0.0013428936945274472,
0.009079637937247753,
-0.03417887166142464,
-0.020132148638367653,
0.036937735974788666,
-0.03850313276052475,
-0.01936512067914009,
0.037171654403209686,
0.028183795511722565,
-0.01584557071328163,
-0.0007039069314487278,
0.045045606791973114,
-0.015751533210277557,
... | 0.816159 | 0.821372 | -0.005213 |
Jerry wakes up one morning and finds the thermostat set to 40 degrees. He set it to double the initial temperature. His dad notices, yells at Jerry, and reducing the temperature by 30 degrees. Later, Jerry's mother reduces the temperature by 30%, before his sister increases it by 24 degrees. What's the final temperatur... | tiger_lab_math | [
0.021983128041028976,
0.012223219498991966,
-0.03940217196941376,
-0.028337381780147552,
0.02745158039033413,
-0.042481277137994766,
-0.029091807082295418,
0.07355297356843948,
0.03633001819252968,
-0.028552135452628136,
0.019013898447155952,
0.022028852254152298,
-0.05598383769392967,
-0.... | 0.817022 | 0.826708 | -0.009685 |
An 18-month magazine subscription is normally $34. The magazine is currently running a promotion for $0.25 off each twice-a-month issue when signing up for the 18-month subscription. How many dollars cheaper is the promotional subscription than the normal one? | tiger_lab_math | [
0.01114126481115818,
0.0059050302952528,
-0.04825833812355995,
-0.04530129209160805,
0.03731158375740051,
-0.017796115949749947,
-0.03632226586341858,
0.04415848106145859,
0.04221624135971069,
0.0022237938828766346,
0.007922918535768986,
0.01986996829509735,
-0.0410102941095829,
-0.0199122... | 0.777032 | 0.796758 | -0.019725 |
Amanda's car takes five fewer minutes to complete the same trip to the beach than the bus. If the bus takes 40 minutes to drive 80 miles to the beach, how many minutes will it take the car to make a round trip? Let's program in Python in the response. | tiger_lab_math | [
0.012569393962621689,
0.01190020702779293,
-0.026625730097293854,
-0.02133977599442005,
0.019842350855469704,
-0.04273989796638489,
-0.05018700286746025,
0.05046047642827034,
0.055511318147182465,
-0.006489437539130449,
0.009941653348505497,
0.026711944490671158,
-0.020304599776864052,
-0.... | 0.789258 | 0.809247 | -0.019989 |
Consider the optimization problem:
minimize f(x) = 4x^2 - 4x + 1
using the firefly algorithm, where x is a real number.
Using an initial population of fireflies with a size of 10 and a maximum number of iterations of 50, find the optimal value of x that minimizes the function f(x) and the corresponding minimum va... | tiger_lab_math | [
0.008855362422764301,
0.027053778991103172,
-0.032408200204372406,
-0.044166598469018936,
0.054321274161338806,
-0.03951090946793556,
-0.020098432898521423,
0.07145412266254425,
0.049143996089696884,
-0.016629397869110107,
-0.0018628312973305583,
0.01685706153512001,
-0.024489853531122208,
... | 0.823887 | 0.820632 | 0.003255 |
The speed of a boat in upstream is 20 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer Choices: (A) 10 kmph (B) 11 kmph (C) 16 kmph (D) 30 kmph (E) 19 kmph | tiger_lab_math | [
0.02237573452293873,
0.015423390083014965,
-0.03663576394319534,
-0.027233734726905823,
0.052307579666376114,
-0.05372454971075058,
-0.031993985176086426,
0.08647312968969345,
0.04280662536621094,
-0.01602492667734623,
0.01811044104397297,
0.03167784586548805,
-0.04608447104692459,
-0.0246... | 0.780223 | 0.805102 | -0.024879 |
5,6,8,11,?,20,26,33
Answer Choices: (A) 10 (B) 13 (C) 15 (D) 8 (E) 19 | tiger_lab_math | [
0.03371649608016014,
0.014607870019972324,
-0.027310797944664955,
-0.042568009346723557,
0.05180061236023903,
-0.04193481430411339,
-0.02569763921201229,
0.023569339886307716,
0.04990312457084656,
-0.005854923278093338,
0.02132699266076088,
0.049905553460121155,
-0.049051910638809204,
-0.0... | 0.816066 | 0.847119 | -0.031054 |
Nine persons went to a hotel for taking their meals. Eight of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
Answer Choices: (A) Rs. 115 (B) Rs. 116 (C) Rs. 117 (D) Rs. 118 (E) None | tiger_lab_math | [
0.023225566372275352,
0.0009042195160873234,
-0.04134617745876312,
-0.036337967962026596,
0.02728879638016224,
-0.040217164903879166,
-0.004465560894459486,
0.035791054368019104,
0.04059620574116707,
-0.02880239486694336,
0.024307483807206154,
0.01924346387386322,
-0.05779825150966644,
-0.... | 0.795116 | 0.821677 | -0.026561 |
For four days of work, a clerk had daily earnings of $160, $150, $160, and $160 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Answer Choices: (A) Between $10 and $50 (B) Between $0 and $10 (C) Between $20 and $25 (D) Between $50 and $100 (E) Between $50 and $65 | tiger_lab_math | [
0.005620195530354977,
-0.01741514727473259,
-0.04299263656139374,
-0.030556228011846542,
0.04027535021305084,
-0.03276151418685913,
-0.047736577689647675,
0.06260857731103897,
0.046200111508369446,
-0.025671040639281273,
0.040722716599702835,
0.027682187035679817,
-0.037380851805210114,
-0... | 0.801569 | 0.821266 | -0.019698 |
The sequence $2, 7, 12, a, b, 27$ is arithmetic. What is the value of $a + b$? Let's program in Python in the response. | tiger_lab_math | [
0.04501619189977646,
0.024867864325642586,
-0.032049693167209625,
-0.03854943811893463,
0.03675907477736473,
-0.022353220731019974,
-0.014753143303096294,
0.05824252590537071,
0.039477553218603134,
-0.019716156646609306,
0.020269807428121567,
0.035233065485954285,
-0.03639392554759979,
-0.... | 0.821905 | 0.832462 | -0.010556 |
If you take the fastest speed of a rabbit and double it, add 4 to that then double it again you get 188. How fast is the rabbit? | tiger_lab_math | [
0.013477702625095844,
0.01933962106704712,
-0.014804663136601448,
-0.023248648270964622,
0.03200250118970871,
-0.006677940487861633,
-0.0487530417740345,
0.03948314115405083,
0.055350154638290405,
-0.011899645440280437,
0.006862524431198835,
0.03596985712647438,
-0.03189563378691673,
-0.03... | 0.801691 | 0.830864 | -0.029174 |
What is the derivative of the function f(x) = 3x^2 + 2x - 5 at x = 4? | tiger_lab_math | [
0.019658006727695465,
0.02751026675105095,
-0.058108411729335785,
-0.047481149435043335,
0.04097598418593407,
-0.033067598938941956,
-0.023527318611741066,
0.05475868657231331,
0.04332355409860611,
-0.010311147198081017,
0.030205681920051575,
0.037095073610544205,
-0.024012861773371696,
-0... | 0.797936 | 0.831594 | -0.033658 |
How many pieces of 0.85 metres can be cut from a rod 42.5 metres long?
Answer Choices: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70 | tiger_lab_math | [
0.025261949747800827,
0.013550592586398125,
-0.014384360052645206,
-0.0388624370098114,
0.03265019506216049,
-0.0489526093006134,
-0.023301521316170692,
0.05479609966278076,
0.031686607748270035,
-0.02142494171857834,
0.020652929320931435,
0.02580375224351883,
-0.037022922188043594,
-0.033... | 0.806878 | 0.83897 | -0.032092 |
What is the greatest three-digit number which is a multiple of 13? | tiger_lab_math | [
0.011209244839847088,
0.019694164395332336,
-0.028096860274672508,
-0.05133187398314476,
0.06267096102237701,
-0.020584307610988617,
-0.01913355477154255,
0.01702277734875679,
0.009669818915426731,
-0.02998402714729309,
0.03342704474925995,
0.04804133251309395,
-0.029757173731923103,
-0.02... | 0.785036 | 0.819683 | -0.034647 |
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Answer Choices: (A) 331/8% (B) 331/3% (C) 381/3% (D) 351/3% (E) 231/3% | tiger_lab_math | [
-0.006635773926973343,
0.024049468338489532,
-0.04850829392671585,
-0.014990170486271381,
0.039299897849559784,
-0.04190996661782265,
-0.022628339007496834,
0.07889818400144577,
0.04334627836942673,
0.0029481465462595224,
0.019635837525129318,
0.019597820937633514,
-0.05464077740907669,
-0... | 0.804393 | 0.826376 | -0.021983 |
Suppose $f(x,y) = \sqrt{x^2 + y^2}$ is a function from $\mathbb{R}^2$ to $\mathbb{R}$. Determine if $f$ is a smooth map when $\mathbb{R}^2$ is given the standard differential structure. | tiger_lab_math | [
0.002343679778277874,
0.02767559513449669,
-0.0443047471344471,
-0.04964644834399223,
0.04617321491241455,
-0.009652037173509598,
-0.03051047772169113,
0.06790737062692642,
0.0307463426142931,
-0.02251916192471981,
0.017360111698508263,
0.025813955813646317,
-0.036518342792987823,
-0.01663... | 0.812896 | 0.795964 | 0.016932 |
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 35150. What percentage of profit did he make?
Answer Choices: (A) 22 (B) 27 (C) 58 (D) 26 (E) 11 Let's write a Python program to solve it. | tiger_lab_math | [
0.010979817248880863,
0.01870553195476532,
-0.047791387885808945,
-0.009675256907939911,
0.050609685480594635,
-0.016860509291291237,
-0.003450606716796756,
0.05683460831642151,
0.03292645886540413,
0.008319753222167492,
0.02421078085899353,
0.03312716260552406,
-0.04263848811388016,
-0.01... | 0.801677 | 0.825852 | -0.024175 |
In a game of 90 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
Answer Choices: (A) 2.82 (B) 7.82 (C) 5.82 (D) 12.82 (E) 8.82 | tiger_lab_math | [
0.00946481991559267,
0.009943168610334396,
-0.01777653768658638,
-0.021463872864842415,
0.03903960809111595,
-0.05032120272517204,
-0.012764261104166508,
0.050013039261102676,
0.056862715631723404,
-0.04022211953997612,
0.006979903671890497,
0.04672912135720253,
-0.045936647802591324,
-0.0... | 0.808266 | 0.837219 | -0.028953 |
Christina has 3 snakes. 1 snake is 2 feet long. Another snake is 16 inches long. The last snake is 10 inches long. How many inches are all of her snakes combined? Let's write a Python program to solve it. | tiger_lab_math | [
-0.009010684676468372,
0.02767195552587509,
-0.059684868901968,
-0.05017579719424248,
0.03945106640458107,
-0.01941208355128765,
-0.03019927814602852,
0.036178331822156906,
0.021852532401680946,
-0.0054206266067922115,
0.027945319190621376,
0.06004127115011215,
-0.04727988317608833,
-0.020... | 0.811699 | 0.823275 | -0.011576 |
Mikaela earns $10 an hour tutoring. For the first month, she tutored for 35 hours and in the second month, she tutored 5 hours more than the first month. She spent 4/5 of her total earnings on her personal needs and saved the rest of the money. How much did she save? | tiger_lab_math | [
0.029061349108815193,
0.022022174671292305,
-0.055178675800561905,
-0.02031771093606949,
0.014123549684882164,
-0.021008692681789398,
-0.03782767429947853,
0.06401024013757706,
0.052816376090049744,
-0.008898813277482986,
0.02561280131340027,
-0.0061248051933944225,
-0.053155798465013504,
... | 0.780197 | 0.797693 | -0.017496 |
Find the smallest positive integer n such that tn of the arithmetic sequence 20,19¼ ,18½ ,… is nagative
Answer Choices: (A) 27 (B) 28 (C) 29 (D) 30 (E) 31 | tiger_lab_math | [
0.016433274373412132,
0.027187734842300415,
-0.029498178511857986,
-0.036449652165174484,
0.05094177648425102,
-0.031063679605722427,
-0.03183787688612938,
0.05213769152760506,
0.03351610153913498,
-0.01758323796093464,
0.020799687132239342,
0.026633843779563904,
-0.030499067157506943,
-0.... | 0.832305 | 0.855352 | -0.023046 |
When the integer z is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2z
II. 6z
III. 4z + 6
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III | tiger_lab_math | [
0.054101064801216125,
0.02747972123324871,
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-0... | 0.814644 | 0.832989 | -0.018345 |
Consider a wave equation given by:
$\frac{\partial^2 u}{\partial t^2} = 4\frac{\partial^2 u}{\partial x^2}$
where $u(x,t)$ is the displacement of a wave at location $x$ and time $t$.
Given the initial conditions:
$u(x,0) = \cos(\pi x)$
and
$\frac{\partial u}{\partial t}(x,0) = 0$
Find the solution $u(x,t)$ f... | tiger_lab_math | [
0.016416804865002632,
0.039939042180776596,
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0.04047461599111557,
0.0057716346345841885,
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-0.02... | 0.818354 | 0.803968 | 0.014386 |
Passage: As of February 1, 2008, the U.S. Board on Geographic Names had identified 5,564 natural streams in the State of Colorado. Of this number, 147 larger streams (2.6%) were named river and 11 (0.2%) were named rio. The vast majority of the Colorado streams (5082 or 91.3%) were named stream. Of the remaining Col... | tiger_lab_math | [
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0.008726623840630054,
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-0.... | 0.766463 | 0.783056 | -0.016593 |
Harold had 100 marbles. He kept 20 marbles and shared the rest evenly among his 5 friends. How many marbles did each friend get? Let's write a Python program. | tiger_lab_math | [
0.007211689837276936,
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0.03641285002231598,
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0.035914886742830276,
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A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Answer Choices: (A) 95 (B) 92 (C) 88 (D) 82 (E) 90 | tiger_lab_math | [
0.013392096385359764,
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0.042181409895420074,
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-0.... | 0.804946 | 0.825898 | -0.020952 |
Marco has $24. Mary has $15. If Marco gives Mary half of what he has, Mary will have more than Marco. But Mary spends $5. How much more money does Mary have than Marco? Please respond by writing a program in Python. | tiger_lab_math | [
0.02995767630636692,
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0.01578926295042038,
0.025268130004405975,
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-0.037... | 0.813532 | 0.828388 | -0.014856 |
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the smallest integer in the set? | tiger_lab_math | [
0.019397327676415443,
0.023526111617684364,
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0.038473136723041534,
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0.024832630529999733,
0.010555315762758255,
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-0... | 0.827812 | 0.842583 | -0.014771 |
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Answer Choices: (A) 22 (B) 18 (C) 12 (D) 88 (E) 29 | tiger_lab_math | [
0.028551217168569565,
0.02276315912604332,
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0.01164979673922062,
0.039443664252758026,
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-0.035... | 0.805875 | 0.836433 | -0.030558 |
A population of rabbits has a maximum capacity of 2000 individuals. The population is currently at 500 individuals and growing at a rate of 0.05. According to the logistic equation, what will the population be after 20 generations? (Note: the logistic equation is given by Pn+1 = rPn(1 - Pn/K), where Pn is the populatio... | tiger_lab_math | [
0.006468535400927067,
0.04533209651708603,
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-0.00... | 0.795164 | 0.802583 | -0.007419 |
Solve for x: 2x^2 + 5x - 3 = 0 | tiger_lab_math | [
0.03810352832078934,
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A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at $3 per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). How much did they spend altogether? Let's w... | tiger_lab_math | [
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A rectangular room measures 12-feet by 6-feet. How many square yards of carpet are needed to cover the floor of the room? | tiger_lab_math | [
0.011119172908365726,
0.03849393501877785,
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-0.018... | 0.797368 | 0.815456 | -0.018088 |
Auction Theory Question:
A car dealer put three second-hand cars up for auction. There are three bidders: A, B, and C. Each bidder values each car differently. Their valuations are as follows:
- Bidder A values Car 1 at $10,000, Car 2 at $8,000, and Car 3 at $6,000.
- Bidder B values Car 1 at $9,000, Car 2 at $7,500... | tiger_lab_math | [
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... | 0.802411 | 0.794617 | 0.007793 |
Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to tr... | tiger_lab_math | [
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The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Answer Choices: (A) 255 (B) 267 (C) 245 (D) 277 (E) 215 | tiger_lab_math | [
0.009613142348825932,
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0.05104679614305496,
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0.03660248965024948,
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0.02419171668589115,
0.029311375692486763,
-0.01216866634786129,
-0.0... | 0.792296 | 0.81983 | -0.027533 |
Two vertical pole of 2 m and 8 m stand apart on a horizontal plane.The height in meters at the point of intersection of the line joining the top of each pole to the bottom of other pole is ....
Answer Choices: (A) 1.8 (B) 1.6 (C) 1.4 (D) 5.4 (E) cannot be determined without knowing the distance bw the bottom of the pol... | tiger_lab_math | [
0.03917790204286575,
0.0050750309601426125,
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0.01575404591858387,
0.04036547243595123,
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-0.01183... | 0.79912 | 0.815269 | -0.016149 |
A trapezium has a height of 8 cm and the lengths of its parallel sides are 10 cm and 16 cm. What is the perimeter of the trapezium? | tiger_lab_math | [
0.024396169930696487,
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0.04582040011882782,
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-0.00079... | 0.802657 | 0.812698 | -0.010041 |
Suppose you are running a manufacturing firm that produces two products: product A and product B. The firm has 4 workers, and each worker is only able to work 40 hours per week. Each unit of product A requires 8 hours of work from a worker, while each unit of product B needs 10 hours of work. The profit from one unit o... | tiger_lab_math | [
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0.033846430480480194,
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To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 10%, and reduce the price it charges its consumers by 10% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?
... | tiger_lab_math | [
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0.03133516013622284,
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0.026358649134635925,
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-0.0... | 0.798599 | 0.806838 | -0.008239 |
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?
Answer Choices: (A) 2510 (B) 2535 (C) 2530 (D) 2030 (E) 2520 | tiger_lab_math | [
0.025492900982499123,
0.02979355677962303,
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0.019533628597855568,
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0.06255064159631729,
0.03998225927352905,
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0.02115912176668644,
0.03969097137451172,
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-0.013981... | 0.808792 | 0.834654 | -0.025862 |
926 + 9.026 + 0.926 + 9.0026 = ?
Answer Choices: (A) 944.9546 (B) 944.1246 (C) 944.4246 (D) 944.9446 (E) None of these | tiger_lab_math | [
0.015801800414919853,
0.015046182088553905,
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0.03605241701006889,
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0.039657291024923325,
0.04471296817064285,
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0.03818008676171303,
0.041785966604948044,
-0.03137678653001785,
-0.0... | 0.798938 | 0.839637 | -0.040699 |
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Answer Choices: (A) 16 2/3% (B) 15 2/3% (C) 18 2/3% (D) 11 2/3% (E) 22 2/3% Let's write a program. | tiger_lab_math | [
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0.020376143977046013,
0.027309689670801163,
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-0.012... | 0.791817 | 0.822703 | -0.030887 |
Passage: Under the reign of Akbar the Great (reigned 1556–1605) in 1600, the Mughal Empires urban population was up to 17 million people, larger than the urban population in Europe. By 1700, Mughal India had an urban population of 23 million people, larger than British Indias urban population of 22.3 million in 1871. N... | tiger_lab_math | [
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0.025307098403573036,
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0.0009720353409647942,
0.016176797449588776,
0.043461404740810394,
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-... | 0.733698 | 0.756797 | -0.023098 |
Two cars are traveling towards each other. If car A is traveling at a speed of 60 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Answer Choices: (A) Six hours and 30 minutes. (B) Seven hours and 30 minutes. (C) Eight hours and 20 ... | tiger_lab_math | [
0.025958433747291565,
0.010940040461719036,
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0.02793060429394245,
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0.020410211756825447,
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-0.030... | 0.784357 | 0.809427 | -0.02507 |
Sure, here's a precise numerical problem for a math student to solve from the subject of Partial Differential Equations for Image Processing and Computer Vision:
Suppose we have an image with dimensions 512x512, and we want to apply a blurring effect to it using a Gaussian kernel with a standard deviation of 1.5. Writ... | tiger_lab_math | [
-0.0006423380109481514,
0.01653444580733776,
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0.0008291315753012896,
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0.05112854018807411,
-0.02345193363726139,
0.012527392245829105,
0.00878269225358963,
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-... | 0.823593 | 0.813644 | 0.00995 |
A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 9 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Answer Choices:... | tiger_lab_math | [
0.02388005517423153,
0.013187265954911709,
-0.032728902995586395,
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0.043162357062101364,
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0.06382989883422852,
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0.021843204274773598,
0.03675371780991554,
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-0... | 0.813486 | 0.830813 | -0.017327 |
Consider the function f(x) = x^3 - 6x^2 + 9x + 15. Use particle swarm optimization to find the minimum value of f(x) for x in the range of [0,10]. | tiger_lab_math | [
0.0052717626094818115,
0.014115558937191963,
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0.04725923761725426,
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0.024126840755343437,
0.017755258828401566,
-0.023471489548683167,
-0.... | 0.824135 | 0.829343 | -0.005207 |
The owner of a Turkish restaurant wanted to prepare traditional dishes for an upcoming celebration. She ordered ground beef, in four-pound packages, from three different butchers. The following morning, the first butcher delivered 10 packages. A couple of hours later, 7 packages arrived from the second butcher. Finally... | tiger_lab_math | [
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-0... | 0.826871 | 0.825514 | 0.001357 |
A sign painter paints individual numerals for a row of 50 houses. The houses are numbered with consecutive integers from 1 to 50. How many 9s are painted? Let's write a Python program. | tiger_lab_math | [
-0.008742984384298325,
0.020118234679102898,
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0.038702625781297684,
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0.033899832516908646,
0.04099695384502411,
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0.0373171865940094,
0.05344516411423683,
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0.0... | 0.801837 | 0.812949 | -0.011112 |
A, B and C can do a work in 18, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Answer Choices: (A) 9 (B) 16 (C) 17 (D) 18 (E) 11 Please write a program to solve it | tiger_lab_math | [
0.020303821191191673,
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0.043197765946388245,
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0.06471417844295502,
0.04035799205303192,
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0.01903233304619789,
0.0497560054063797,
-0.01270854752510786,
-0.0242... | 0.810429 | 0.835299 | -0.02487 |
What is the smallest prime number that is greater than 1000? | tiger_lab_math | [
0.004958877339959145,
0.035360194742679596,
-0.022331412881612778,
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0.021603448316454887,
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0.004361980129033327,
0.024326788261532784,
0.02036803402006626,
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0.02313958667218685,
0.030239632353186607,
-0.015571929514408112,
-0... | 0.787667 | 0.81267 | -0.025003 |
16 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
Answer Choices: (A) 2√2 (B) 4 (C) 5 (D) 4√2 (E) none of these | tiger_lab_math | [
0.005920026917010546,
0.03613901138305664,
-0.038746971637010574,
-0.034369755536317825,
0.049222689121961594,
-0.05401144549250603,
-0.051110439002513885,
0.04660870134830475,
0.04568583890795708,
-0.003453730372712016,
0.025110594928264618,
0.0389072559773922,
-0.00255842343904078,
-0.02... | 0.811473 | 0.821675 | -0.010202 |
If (2x + 1) times (3x + 1) is an odd integer, then x must be:
Answer Choices: (A) an odd integer (B) an even integer (C) a prime number (D) a composite number (E) a negative integer | tiger_lab_math | [
0.04474456608295441,
0.011757513508200645,
-0.007344943005591631,
-0.04733450338244438,
0.04378538206219673,
-0.027438394725322723,
-0.013760636560618877,
0.0784313902258873,
0.042919959872961044,
0.0006533890264108777,
0.01790476217865944,
0.040636107325553894,
-0.041551847010850906,
-0.0... | 0.821804 | 0.833596 | -0.011792 |
Four people lost a total of 103 kilograms of weight. The first person lost 27 kilograms. The second person lost 7 kilograms less than the first person. The two remaining people lost the same amount. How many kilograms did each of the last two people lose? Please respond by writing a program in Python. | tiger_lab_math | [
0.012610168196260929,
0.04046516492962837,
-0.05154205858707428,
-0.07093177735805511,
0.03791658952832222,
-0.024749813601374626,
-0.03477407246828079,
0.022292926907539368,
0.04240764304995537,
-0.02520112879574299,
0.032567620277404785,
0.002348547801375389,
-0.03247490152716637,
-0.005... | 0.796912 | 0.823328 | -0.026416 |
Consider a graph with 8 vertices and 10 edges. Determine whether the graph is connected or not. | tiger_lab_math | [
0.014390639029443264,
0.014481346122920513,
-0.01466000359505415,
-0.018713705241680145,
0.018429003655910492,
-0.033811233937740326,
-0.014258597046136856,
0.04826285317540169,
0.026848573237657547,
-0.025198068469762802,
0.006923468317836523,
0.021983038634061813,
-0.021127890795469284,
... | 0.804061 | 0.804967 | -0.000906 |
A candy company makes two types of candies: chocolate and fruit flavored. The company has 150 pounds of chocolate and 120 pounds of fruit-flavored candies. Making a pound of chocolate candies requires 4 units of sugar and 3 units of milk, while making a pound of fruit-flavored candies requires 2 units of sugar and 1 un... | tiger_lab_math | [
0.018487293273210526,
0.022886978462338448,
-0.03290241211652756,
-0.038140084594488144,
0.03335219621658325,
-0.0264892615377903,
-0.029773490503430367,
0.08103451132774353,
0.02341587096452713,
-0.01984269544482231,
0.010420828126370907,
0.022804053500294685,
-0.025311974808573723,
-0.03... | 0.819841 | 0.809125 | 0.010715 |
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Answer Choices: (A) 400 (B) 500 (C) 800 (D) 900 (E) 1000 | tiger_lab_math | [
0.019472381100058556,
-0.004770818166434765,
-0.04577431455254555,
-0.03719672933220863,
0.03553709760308266,
-0.056001704186201096,
-0.012504073791205883,
0.05148732289671898,
0.04258795455098152,
0.0010858213063329458,
0.019812854006886482,
0.03740955889225006,
-0.018718093633651733,
-0.... | 0.789515 | 0.814972 | -0.025457 |
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
Answer Choices: (A) 15 (B) 16 (C) 18 (D) 25 (E) None of these | tiger_lab_math | [
0.020894287154078484,
0.028756488114595413,
-0.050791773945093155,
-0.029708145186305046,
0.031357649713754654,
-0.03161857649683952,
-0.04674864932894707,
0.09320534765720367,
0.045895613729953766,
-0.01311833132058382,
0.021064341068267822,
0.04171159118413925,
-0.018002254888415337,
-0.... | 0.793139 | 0.814887 | -0.021748 |
The total surface area of a solid hemisphere of diameter 14 cm, is :
Answer Choices: (A) 462 cm² (B) 530 cm² (C) 1345 cm² (D) 1788 cm² (E) None | tiger_lab_math | [
0.004322818946093321,
0.03215286135673523,
-0.01473318226635456,
-0.04663155600428581,
0.055290162563323975,
-0.0332159548997879,
-0.018118849024176598,
0.05659472197294235,
0.043657928705215454,
-0.01456997636705637,
0.03531378135085106,
0.03189392760396004,
-0.010821159929037094,
-0.0339... | 0.795073 | 0.818902 | -0.023829 |
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