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 |
|---|---|---|---|---|---|
A waitress's income consists of her salary and tips.During one week ,her tips were 11/4 of her salary.What fraction of her income for the week came from tips?
Answer Choices: (A) 1/9 (B) 1/6 (C) 1/3 (D) 4/9 (E) 11/15 | tiger_lab_math | [
0.029591113328933716,
0.026071157306432724,
-0.02231622487306595,
-0.018941035494208336,
0.0482979491353035,
-0.024883387610316277,
-0.02054228074848652,
0.0616445392370224,
0.04128234460949898,
0.016263967379927635,
0.040380463004112244,
0.0305301696062088,
-0.0350036583840847,
-0.0205898... | 0.79778 | 0.832573 | -0.034793 |
What is the period doubling constant of the logistic map when r = 3.2? | tiger_lab_math | [
0.004093090537935495,
0.012688500806689262,
-0.038896530866622925,
-0.040270160883665085,
0.010800905525684357,
-0.016946015879511833,
-0.03709651157259941,
0.046639516949653625,
-0.005579160060733557,
-0.005570124834775925,
0.009682373143732548,
0.04816735163331032,
-0.00840479414910078,
... | 0.782118 | 0.810807 | -0.028689 |
A fast food restaurant sells chicken in orders of 6, 9, and 20.
What is the largest number of pieces of chicken you cannot order from this restaurant?
Answer Choices: (A) 23 (B) 33 (C) 43 (D) 53 (E) 63 | tiger_lab_math | [
0.01631835661828518,
0.0049152253195643425,
-0.017155101522803307,
-0.03629971295595169,
0.026877570897340775,
-0.028355170041322708,
-0.025729941204190254,
0.0396173857152462,
0.03636477515101433,
-0.03116307035088539,
0.0348847396671772,
0.036017656326293945,
-0.0611894428730011,
-0.0101... | 0.813667 | 0.835291 | -0.021623 |
Evaluate: $\frac{10^{-2}5^0}{10^{-3}}$ Please write a program to solve it | tiger_lab_math | [
0.03546324744820595,
0.04444844648241997,
-0.03674078732728958,
-0.0469556488096714,
0.0380336195230484,
-0.04489309713244438,
-0.014469612389802933,
0.06943860650062561,
0.04823651164770126,
-0.03104543313384056,
0.019192909821867943,
0.038832638412714005,
-0.04120217636227608,
-0.0230434... | 0.835964 | 0.855679 | -0.019715 |
A mathematical problem related to the self-similarity of the Lévy C curve could be:
Given a Lévy C curve with an initial side length of 10 cm, find the length of the curve after the 4th iteration, assuming that each new iteration reduces the length of the curve by one-third. | tiger_lab_math | [
-0.00903353001922369,
0.029073961079120636,
-0.04220754653215408,
-0.030701443552970886,
0.04109068959951401,
0.010505983605980873,
-0.027870915830135345,
0.07023940980434418,
0.027224654331803322,
-0.012460511177778244,
-0.010785631835460663,
0.006480922922492027,
-0.04996604099869728,
-0... | 0.805914 | 0.800309 | 0.005605 |
Given that the polynomial $x^2-5x+t$ has only positive integer roots, find the average of all distinct possible values of $t$. Let's program in Python in the response. | tiger_lab_math | [
0.012745141983032227,
0.02776896022260189,
-0.04746811464428902,
-0.04002142697572708,
0.03863893076777458,
-0.04711025580763817,
-0.02642550691962242,
0.06035545468330383,
0.03888153284788132,
-0.025829913094639778,
0.013888953253626823,
0.008779606781899929,
-0.01940189115703106,
-0.0149... | 0.832742 | 0.829659 | 0.003083 |
a shopkeeper sells 200 metres of cloth for rs . 12000 at a loss of rs . 12 per metre . find his cost price for one metre of cloth ? Let's write a Python program to solve it. | tiger_lab_math | [
0.025067351758480072,
0.024721713736653328,
-0.06418583542108536,
-0.030903354287147522,
0.022560516372323036,
-0.030930297449231148,
-0.04862750694155693,
0.03886455297470093,
0.032662276178598404,
0.002285313792526722,
0.01492706872522831,
0.03083578310906887,
-0.018304090946912766,
-0.0... | 0.803728 | 0.815792 | -0.012064 |
Sally needs to make a tablecloth that measures 102 inches by 54 inches. She also needs to make 8 napkins that are 6 by 7 inches. How many square inches of material will Sally need to make the tablecloth and the 8 napkins? | tiger_lab_math | [
0.02732321061193943,
0.03478538990020752,
-0.037539009004831314,
-0.03425899147987366,
0.03377661481499672,
-0.013871674425899982,
-0.04823226109147072,
0.06180804595351219,
-0.0007929393323138356,
-0.011899307370185852,
0.024907076731324196,
0.03657008707523346,
-0.028974145650863647,
-0.... | 0.78422 | 0.796743 | -0.012523 |
Five percent of the 300 senior students got a full merit college scholarship and ten percent of them got a half merit scholarship. How many senior students did not get any scholarships? | tiger_lab_math | [
0.005735850427299738,
0.01151974219828844,
-0.042708516120910645,
-0.037130776792764664,
0.014077981002628803,
-0.04110707342624664,
-0.0373975969851017,
0.058112211525440216,
0.032806675881147385,
-0.02634241245687008,
0.04424953833222389,
0.03944185748696327,
-0.026053262874484062,
-0.01... | 0.764272 | 0.783706 | -0.019434 |
Consider the following data points (x, f(x)):
(0, 2), (1, 3), (3, 7), (4, 12)
Using Lagrange polynomials, find the value of f(2) and f(5). | tiger_lab_math | [
0.03133268654346466,
0.03352086991071701,
-0.05115898698568344,
-0.0438859686255455,
0.03541427105665207,
-0.02019519917666912,
-0.013965608552098274,
0.053187109529972076,
0.016290821135044098,
0.00810192059725523,
0.01522417925298214,
0.0322670079767704,
-0.03737995773553848,
-0.01222512... | 0.830281 | 0.833627 | -0.003347 |
Jackson wants to start saving for the vacation that he’s taking next August, 15 months away. He wants to save $3,000.00. If he gets paid 2 times a month how much money does he need to set aside, per paycheck, to have enough money saved for his vacation? | tiger_lab_math | [
0.027685411274433136,
0.012585542164742947,
-0.05250232294201851,
-0.03694354370236397,
0.0391998328268528,
-0.02386847324669361,
-0.009407353587448597,
0.0637987032532692,
0.018841693177819252,
-0.024158695712685585,
0.037562914192676544,
0.018648365512490273,
-0.044223323464393616,
-0.02... | 0.788344 | 0.80701 | -0.018665 |
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Answer Choices: (A) 31.9 (B) 31.1 (C) 31.6 (D) 31.2 (E) 31.5 | tiger_lab_math | [
0.007045571692287922,
-0.0013463065261021256,
-0.03923773765563965,
-0.055484093725681305,
0.06842105835676193,
-0.039253830909729004,
-0.027252109721302986,
0.052925191819667816,
0.058270975947380066,
-0.007636828348040581,
0.030924346297979355,
0.033878426998853683,
-0.053321048617362976,
... | 0.81163 | 0.838391 | -0.026761 |
The tripodasaurus has three legs. In a flock of tripodasauruses, there is a total of 20 heads and legs. How many tripodasauruses are in the flock? Please write a program to solve it | tiger_lab_math | [
0.0026728978846222162,
0.017951302230358124,
-0.05642865225672722,
-0.04266100749373436,
0.034224070608615875,
-0.04698556289076805,
-0.03566994145512581,
0.03451787680387497,
0.013670186512172222,
-0.028816262260079384,
0.022299418225884438,
0.048851657658815384,
-0.04683305695652962,
-0.... | 0.816446 | 0.825362 | -0.008917 |
two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 30 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red c... | tiger_lab_math | [
0.01216108351945877,
0.0237998329102993,
-0.0216500386595726,
-0.028559045866131783,
0.017836663872003555,
-0.018144728615880013,
-0.04851694405078888,
0.05836991220712662,
0.04328766092658043,
-0.042069271206855774,
0.013109172694385052,
0.018264787271618843,
-0.02850690670311451,
-0.0138... | 0.798827 | 0.807218 | -0.008391 |
in the new budget the price of wheat rose by 8 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ? Please respond by writing a program in Python. | tiger_lab_math | [
0.013512455858290195,
0.0286101046949625,
-0.03988870233297348,
-0.027816496789455414,
0.035821154713630676,
-0.033796295523643494,
-0.017248790711164474,
0.05544388294219971,
0.03848748654127121,
-0.01672564633190632,
-0.0021708132699131966,
0.018903492018580437,
-0.04168236255645752,
-0.... | 0.793705 | 0.817137 | -0.023431 |
Assuming that in a community of 500 people, 300 people like to attend social events. What is the probability that at least 150 of those people will attend an upcoming event? | tiger_lab_math | [
0.015490206889808178,
0.004449374973773956,
-0.04932978004217148,
-0.03031826764345169,
0.034847479313611984,
-0.03179632127285004,
-0.010935265570878983,
0.0343446359038353,
0.032995324581861496,
-0.007356645539402962,
0.008017253130674362,
0.026981407776474953,
-0.01529692579060793,
-0.0... | 0.796112 | 0.806366 | -0.010254 |
a students was asked to find the arithmetic mean of the numbers 3 , 11 , 7 , 9 , 15 , 13 , 8 , 19 , 17 , 21 , 14 and x . he found the mean to be 12 . what should be the number in place of x ? Please write a program to solve it | tiger_lab_math | [
0.04045049473643303,
0.021391090005636215,
-0.04591049998998642,
-0.06026064231991768,
0.050849441438913345,
-0.03925305977463722,
-0.03002890758216381,
0.04241413250565529,
0.030032293871045113,
-0.007834034971892834,
0.032789796590805054,
0.024304090067744255,
-0.03813805431127548,
-0.02... | 0.825063 | 0.836786 | -0.011723 |
It takes 7.0 minutes to bake 4.0 pans of cookies. How long will it take to bake 1.0 pan of cookies. Let's write a program. | tiger_lab_math | [
0.011018887162208557,
0.03193608671426773,
-0.023756861686706543,
-0.02169846184551716,
0.03086889535188675,
-0.01579478569328785,
-0.049248434603214264,
0.05976175516843796,
0.04289967194199562,
-0.02177472412586212,
0.016649072989821434,
0.0321490541100502,
-0.020643755793571472,
-0.0254... | 0.804436 | 0.825173 | -0.020738 |
Myrtle’s 3 hens lay 3 eggs a day. She would be gone for 7 days and told her neighbor to take as many as they would like. The neighbor took 12 eggs. Once home, Myrtle collected the remaining eggs, dropping 5 on the way into her house. How many eggs does Myrtle have? | tiger_lab_math | [
0.02010061778128147,
0.01904010958969593,
-0.027755310758948326,
-0.028740299865603447,
0.027086099609732628,
-0.03071729652583599,
-0.036730315536260605,
0.04783831909298897,
0.03043803945183754,
-0.01363325584679842,
-0.007114935200661421,
0.04524747282266617,
-0.056221526116132736,
-0.0... | 0.775138 | 0.793201 | -0.018062 |
the ratio of the present age of sandy to that of molly is 7 : 2 . sixteen years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? Let's write a program. | tiger_lab_math | [
0.03296923264861107,
0.01977090910077095,
-0.03773462027311325,
-0.03825414925813675,
0.0340084470808506,
-0.03712195158004761,
-0.0460905097424984,
0.07589750736951828,
0.025424079969525337,
-0.008672266267240047,
0.0304630808532238,
0.02499314770102501,
-0.025101205334067345,
0.003730338... | 0.783464 | 0.807786 | -0.024321 |
the contents of a certain box consist of 14 apples and 26 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ? Let's write a program. | tiger_lab_math | [
0.023101255297660828,
0.014635474421083927,
-0.030026279389858246,
-0.01625714637339115,
0.034974418580532074,
-0.04287685826420784,
-0.018652480095624924,
0.04817378520965576,
0.03343134745955467,
-0.01743181236088276,
0.010872948914766312,
0.02002260461449623,
-0.028603538870811462,
-0.0... | 0.821408 | 0.827282 | -0.005874 |
Every time Carl earned $0.50 he would go to the corner market and buy a candy bar. Carl's neighbor said he would pay him $0.75 every week for taking out his trash. At the end of four weeks, how many candy bars will Carl be able to buy? Please respond by writing a program in Python. | tiger_lab_math | [
-0.0014804588863626122,
0.04836849495768547,
-0.02439792826771736,
-0.020833127200603485,
0.04138919711112976,
-0.026816578581929207,
-0.026773948222398758,
0.04463757947087288,
0.020434314385056496,
-0.01429353840649128,
0.022970912978053093,
0.02040504664182663,
-0.0500146821141243,
-0.0... | 0.804412 | 0.816511 | -0.012099 |
Find the value of $x$ that satisfies $\frac{\sqrt{5x}}{\sqrt{3(x-1)}}=2$. Express your answer in simplest fractional form. | tiger_lab_math | [
0.007625746075063944,
0.040406614542007446,
-0.04564051330089569,
-0.05674554780125618,
0.033767834305763245,
-0.02517416886985302,
-0.0036317361518740654,
0.07923789322376251,
0.04275994002819061,
-0.02575859986245632,
0.027440469712018967,
0.022192561998963356,
-0.01258855126798153,
-0.0... | 0.83034 | 0.833003 | -0.002663 |
Tony made a sandwich with two slices of bread for lunch every day this week. On Saturday, he was extra hungry from doing yard work and made two sandwiches. How many slices of bread are left from the 22-slice loaf Tony started with? | tiger_lab_math | [
0.014646737836301327,
0.027575237676501274,
-0.0465347096323967,
-0.054481398314237595,
0.004113263450562954,
-0.017717279493808746,
-0.0288175530731678,
0.06008600443601608,
0.009085954166948795,
-0.03030977211892605,
0.027969039976596832,
0.03307434543967247,
-0.048616234213113785,
-0.01... | 0.790877 | 0.808926 | -0.018049 |
Let $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ be nonzero vectors, no two of which are parallel, such that
\[(\mathbf{a} \times \mathbf{b}) \times \mathbf{c} = \frac{1}{3} \|\mathbf{b}\| \|\mathbf{c}\| \mathbf{a}.\]Let $\theta$ be the angle between $\mathbf{b}$ and $\mathbf{c}.$ Find $\sin \theta.$ | tiger_lab_math | [
0.0323687419295311,
0.04558318480849266,
-0.05325620621442795,
-0.036357685923576355,
0.03377920389175415,
0.03285576030611992,
-0.022823328152298927,
0.06102795526385307,
0.024478090927004814,
-0.010134251788258553,
0.023862145841121674,
0.02080877684056759,
-0.02362934872508049,
-0.02642... | 0.845312 | 0.818115 | 0.027198 |
How many triangles with positive area are there whose vertices are points in the $xy$-plane whose coordinates are integers $(x,y)$ satisfying $1\le x\le 4$ and $1\le y\le 4$?
$\text{(A) } 496\quad \text{(B) } 500\quad \text{(C) } 512\quad \text{(D) } 516\quad \text{(E) } 560$
Let's write a Python program to solve it. | tiger_lab_math | [
0.0017861020751297474,
0.015409119427204132,
-0.05165448784828186,
-0.022123681381344795,
0.03438212722539902,
-0.01995609514415264,
-0.026589583605527878,
0.032215677201747894,
0.05142836645245552,
-0.0014765729429200292,
0.010599439963698387,
0.052559588104486465,
-0.017315486446022987,
... | 0.842926 | 0.829236 | 0.01369 |
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 42 more. What was his original selling price?
Answer Choices: (A) $770 (B) $660 (C) $700 (D) $1100 (E) $840 | tiger_lab_math | [
0.02983844466507435,
0.008567058481276035,
-0.027586892247200012,
-0.01223328523337841,
0.04512087255716324,
-0.05770460516214371,
-0.022316891700029373,
0.07788462936878204,
0.046768493950366974,
-0.008298119530081749,
0.019952254369854927,
0.02624320052564144,
-0.06975802779197693,
-0.03... | 0.794879 | 0.82092 | -0.026041 |
What is the solution to the wave equation
∂²u/∂t² = 9(∂²u/∂x²)
with the initial conditions u(x,0) = sin(3πx) and ∂u/∂t(x,0) = 0?
Find the value of u(x,2) at x = 1. | tiger_lab_math | [
-0.0012694852193817496,
0.01444911863654852,
-0.06069011613726616,
-0.03618878126144409,
0.045354366302490234,
-0.03363962844014168,
-0.018560215830802917,
0.08726201951503754,
0.05188461393117905,
-0.0021380491089075804,
0.04312160983681679,
0.01510885450989008,
-0.02592656761407852,
-0.0... | 0.809956 | 0.81622 | -0.006264 |
"statement 1": At a meeting of the more than 3 Joint Chiefs of Staff , the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau, "statement 2" :At a meeting of the 8 Joint Chiefs of Staff , the Chief of Naval Operations does not want to sit next to the Chief of the National Gua... | tiger_lab_math | [
0.03944247588515282,
-0.0035632166545838118,
-0.04211161658167839,
-0.03697075694799423,
0.046680036932229996,
-0.024472244083881378,
-0.03604117035865784,
0.0553462989628315,
0.021684560924768448,
-0.01428923662751913,
0.027157630771398544,
0.021450575441122055,
-0.05640530586242676,
-0.0... | 0.794338 | 0.795969 | -0.001631 |
Jill is dividing her 12-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Answer Choices: (A) 10 (B) 25 (C) 462 (D) 252 (E) 630 | tiger_lab_math | [
0.023316284641623497,
-0.009486643597483635,
-0.025598274543881416,
-0.027612581849098206,
0.03997547924518585,
-0.04614508897066116,
-0.019597366452217102,
0.056359484791755676,
0.03972752392292023,
-0.02884526550769806,
0.022577958181500435,
0.039878182113170624,
-0.03999486193060875,
-0... | 0.811012 | 0.826634 | -0.015622 |
Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Answer Choices: (A) 26 (B) 22 (C) 2 (D) 52 (E) 18 | tiger_lab_math | [
0.03372960537672043,
0.02419308014214039,
-0.002400417812168598,
-0.044023800641298294,
0.05288071930408478,
-0.03266756981611252,
-0.024455061182379723,
0.041483115404844284,
0.022103380411863327,
-0.010269524529576302,
0.024854429066181183,
0.038392361253499985,
-0.05044308304786682,
-0.... | 0.802553 | 0.83998 | -0.037427 |
A particle is moving in a one-dimensional box with a length of 2 nm. The wave function of the particle is given as:
Ψ(x, t) = A sin(πx/L)e^((-iE/ħ)t)
where A = 1.5 nm^(-1/2), E = 3 eV, L = 2 nm, t = 0, and x is the position of the particle.
Find the normalized probability density function of the particle at x = 1 ... | tiger_lab_math | [
0.00774207292124629,
0.03847723826766014,
-0.045123837888240814,
-0.02712717466056347,
0.03791417181491852,
-0.02223780006170273,
-0.049383968114852905,
0.05820416659116745,
0.02535797655582428,
0.012020484544336796,
0.022608201950788498,
0.01472192257642746,
-0.009028032422065735,
-0.0083... | 0.80803 | 0.802511 | 0.005519 |
a man can row downstream at the rate of 18 kmph and upstream at 6 kmph . find the man ’ s rate in still water and rate of current ? Please write a program to solve it | tiger_lab_math | [
0.015018263831734657,
0.026982706040143967,
-0.03438978269696236,
-0.022410612553358078,
0.044602468609809875,
-0.03233093023300171,
-0.02395935356616974,
0.06930099427700043,
0.028979890048503876,
-0.01124527771025896,
0.019571179524064064,
0.02690182439982891,
-0.029840419068932533,
-0.0... | 0.795337 | 0.811217 | -0.015881 |
Andy bakes and sells birthday cakes. To make two cakes he spends $12 on ingredients, and $1 on packaging for each cake. Andy sells each cake for $15. How much money does Andy make for each cake? | tiger_lab_math | [
0.026362381875514984,
0.027961039915680885,
-0.04743538051843643,
-0.03275945037603378,
0.02603134699165821,
-0.018377667292952538,
-0.024132896214723587,
0.05239899456501007,
0.0215748380869627,
-0.014126173220574856,
0.02513633295893669,
0.0187394879758358,
-0.04475448280572891,
-0.02491... | 0.807108 | 0.811163 | -0.004054 |
I need to learn vocabulary words for my Spanish exam. There are 500 words and the exam grade is the percentage of these words that I recall correctly. Assuming I will recall correctly the words I learn and assuming my guesses will not yield any points, what is the least number of words I should learn to get at least $8... | tiger_lab_math | [
0.00921541452407837,
-0.011415957473218441,
-0.04146982729434967,
-0.03367829695343971,
0.03884626924991608,
-0.03970671817660332,
-0.033568140119314194,
0.05451782047748566,
0.0065701608546078205,
-0.02461482770740986,
-0.013119346462190151,
0.0187312550842762,
-0.029730184003710747,
-0.0... | 0.780686 | 0.801974 | -0.021288 |
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M... | tiger_lab_math | [
0.015725772827863693,
0.017423691228032112,
-0.06454890966415405,
-0.030270196497440338,
0.04253515601158142,
-0.04026278853416443,
-0.02226651832461357,
0.07593158632516861,
0.044179126620292664,
0.0006672306335531175,
0.011317086406052113,
0.03138185665011406,
-0.05979093909263611,
-0.02... | 0.804106 | 0.806543 | -0.002438 |
How many batteries will remain unboxed if in a factory that manufactures batteries 2 types of boxes are used to store batteries. the bigger box can store 25 batteries while the smaller box can store 18 batteries. The total number of batteries to be stored is 217.
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 7 (E) 5 | tiger_lab_math | [
0.030435841530561447,
0.013087817467749119,
-0.04722490906715393,
-0.030941514298319817,
0.03610149770975113,
-0.040545281022787094,
-0.037262968719005585,
0.06709641963243484,
0.025097832083702087,
-0.022681325674057007,
0.012084421701729298,
0.03441911190748215,
-0.042935993522405624,
-0... | 0.789024 | 0.813759 | -0.024735 |
if the product of 12 integers is negative , at most how many of the integers can be negative ? Let's write a program. | tiger_lab_math | [
0.0322725847363472,
0.0017131326021626592,
-0.03557416424155235,
-0.008345907554030418,
0.037844620645046234,
-0.029752029106020927,
-0.033478062599897385,
0.051842741668224335,
0.03413130342960358,
-0.028256457298994064,
0.008151503279805183,
0.047351159155368805,
-0.027375105768442154,
-... | 0.812029 | 0.829411 | -0.017382 |
Annie has $120. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $3 each. Annie buys 8 hamburgers and 6 milkshakes. How much money, in dollars, does she have left? | tiger_lab_math | [
0.022737743332982063,
0.005226674489676952,
-0.02802843227982521,
-0.04067738726735115,
0.02816327102482319,
0.0028595246840268373,
-0.02242259308695793,
0.05132522061467171,
0.04774478077888489,
-0.011416427791118622,
0.014661465771496296,
0.02664448507130146,
-0.05511488392949104,
-0.041... | 0.809519 | 0.826365 | -0.016846 |
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Answer Choices: (A) 300 kmph (B) 360 kmph (C) 600 kmph (D) 720 kmph (E) 650 kmph | tiger_lab_math | [
0.01896139606833458,
0.03189202770590782,
-0.01754648983478546,
-0.031605761498212814,
0.03524284064769745,
-0.025826195254921913,
-0.022037705406546593,
0.06887137144804001,
0.04245448857545853,
-0.016665726900100708,
0.017001520842313766,
0.0240219347178936,
-0.015706824138760567,
-0.010... | 0.795623 | 0.814628 | -0.019005 |
A math student needs to graph the quadratic equation y = -2x² + 4x - 1 by plotting at least three points on the coordinate plane. | tiger_lab_math | [
0.028575556352734566,
0.028885167092084885,
-0.04682226851582527,
-0.07176744192838669,
0.04145563021302223,
-0.015934361144900322,
-0.030568823218345642,
0.05818329378962517,
0.0319511778652668,
-0.018591729924082756,
0.01043451763689518,
0.055113062262535095,
-0.01665356196463108,
-0.024... | 0.819075 | 0.812142 | 0.006933 |
John releases 3 videos on his channel a day. Two of them are short 2 minute videos and 1 of them is 6 times as long. Assuming a 7-day week, how many minutes of video does he release per week? | tiger_lab_math | [
0.02067369967699051,
0.0037098040338605642,
-0.03350178152322769,
-0.03031744249165058,
0.027707355096936226,
-0.024402732029557228,
-0.038496583700180054,
0.06253041326999664,
-0.00980866514146328,
-0.01927671581506729,
0.021903330460190773,
0.024375062435865402,
-0.02283516898751259,
-0.... | 0.790773 | 0.814507 | -0.023734 |
Sherry rolls her ball down two lanes. The ball covers the red lane in 15 secs, but covers the green lane in 20 secs. Both the lanes are of same length. The ball slows in the green lane because it has? "Option 1": more friction, "Option 2" :less friction. Let's write a program. | tiger_lab_math | [
-0.006783447694033384,
0.027446996420621872,
-0.05602030083537102,
-0.04019928351044655,
0.04262354597449303,
-0.007205945905297995,
-0.047729138284921646,
0.09988265484571457,
0.04726671800017357,
-0.023422246798872948,
0.019778326153755188,
0.03160611167550087,
-0.018687734380364418,
-0.... | 0.805179 | 0.812238 | -0.007059 |
If there are 8 slices in a large pizza, how many slices will remain if Mary orders 2 large pizzas and eats 7 slices? | tiger_lab_math | [
0.01843763142824173,
0.030663492158055305,
-0.03735232725739479,
-0.05088860169053078,
-0.0017608834896236658,
-0.010858740657567978,
-0.05229049548506737,
0.03182747960090637,
0.02906525507569313,
-0.042166441679000854,
0.021746806800365448,
0.03536707162857056,
-0.037836965173482895,
-0.... | 0.796818 | 0.822919 | -0.0261 |
At a local supermarket, a box of cereal usually costs 10 dollars. This week, the supermarket sells the box of cereal for 2 dollars. How much money will you save if you buy this cereal at this supermarket?
Answer Choices: (A) 5 dollars (B) 3 dollars (C) 4 dollars (D) 2 dollars (E) 8 dollar | tiger_lab_math | [
0.02448134496808052,
0.014532908797264099,
-0.02779887616634369,
-0.0203117523342371,
0.02966790460050106,
-0.02002367191016674,
-0.043532416224479675,
0.0629563182592392,
0.0525844432413578,
-0.021558096632361412,
0.0031596440821886063,
0.01113367173820734,
-0.05268096551299095,
-0.029642... | 0.796475 | 0.818398 | -0.021923 |
A store raised the price of an item by exactly 50 percent. Which of the following could NOT be the resulting price of the item?
Answer Choices: (A) 150 (B) 300 (C) 275 (D) 600 (E) 225 | tiger_lab_math | [
0.04212180897593498,
0.007876493036746979,
-0.01278424821794033,
-0.015768200159072876,
0.035682789981365204,
-0.04422038421034813,
-0.019135575741529465,
0.08491171151399612,
0.047376979142427444,
-0.026805637404322624,
0.03299862518906593,
0.039025455713272095,
-0.05560019239783287,
-0.0... | 0.796638 | 0.818152 | -0.021514 |
A mixed doubles tennis game is to be played between two teams. There are four married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played.
Answer Choices: (A) 12 (B) 21 (C) 36 (D) 42 (E) 46 | tiger_lab_math | [
0.027550457045435905,
-0.005206699017435312,
-0.029990537092089653,
-0.020255541428923607,
0.049165695905685425,
-0.003744063898921013,
-0.008548000827431679,
0.053411439061164856,
0.04347623139619827,
-0.03082955814898014,
0.02250087447464466,
0.06208766624331474,
-0.027385711669921875,
-... | 0.80182 | 0.814869 | -0.01305 |
A train ,155 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Answer Choices: (A) 270 m (B) 245 m (C) 235 m (D) 220 m (E) 240 m | tiger_lab_math | [
0.016184577718377113,
0.007359051611274481,
-0.017815032973885536,
-0.04922137409448624,
0.045302726328372955,
-0.039730921387672424,
-0.03114009089767933,
0.06019897758960724,
0.034108106046915054,
-0.033284611999988556,
0.022467680275440216,
0.01661948300898075,
-0.028532681986689568,
-0... | 0.792252 | 0.820278 | -0.028025 |
Solve for x:
(3x-1) / (x+2) = 2/3 | tiger_lab_math | [
0.041738107800483704,
0.02216232381761074,
-0.03915218636393547,
-0.04027274623513222,
0.030010635033249855,
-0.033108606934547424,
-0.009681478142738342,
0.07736609876155853,
0.041067518293857574,
-0.03444121405482292,
0.025154314935207367,
0.042835820466279984,
-0.022792836651206017,
-0.... | 0.825396 | 0.842268 | -0.016872 |
In a recent election, Geoff received 0.5 percent of the 5,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 2,571 more votes to win the election, what is the value of x ?
Answer Choices: (A) 50 (B) 54 (C) 52 (D) 60 (E) 63 | tiger_lab_math | [
0.022164585068821907,
0.010519481264054775,
-0.030195625498890877,
-0.0226221214979887,
0.03844204545021057,
-0.051127880811691284,
-0.013891448266804218,
0.055666521191596985,
0.03194698318839073,
-0.0033731141593307257,
0.03243453428149223,
0.028424108400940895,
-0.01873665861785412,
-0.... | 0.80945 | 0.82961 | -0.020159 |
A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31
Answer Choices: (A) 5 (B) 3 (C) 4 (D) 6 (E) 7 | tiger_lab_math | [
0.024081064388155937,
0.007188108749687672,
-0.011745616793632507,
-0.043366312980651855,
0.0530526340007782,
-0.04071490466594696,
-0.021388312801718712,
0.0639372244477272,
0.04612521454691887,
-0.021521015092730522,
0.030031561851501465,
0.03866000473499298,
-0.04629138112068176,
-0.017... | 0.814309 | 0.846483 | -0.032173 |
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Answer Choices: (A) 108% (B) 120% (C) 160% (D) 101% (E) 100% | tiger_lab_math | [
0.017638564109802246,
0.005755333695560694,
-0.015317787416279316,
-0.02520216442644596,
0.04228989779949188,
-0.040142737329006195,
-0.01677989773452282,
0.06240268796682358,
0.04487179219722748,
0.001804817351512611,
0.009477927349507809,
0.04639101028442383,
-0.052933331578969955,
-0.02... | 0.792148 | 0.820635 | -0.028487 |
Josiah is three times as old as Hans. Hans is 15 years old now. In three years, what is the sum of the ages of Josiah and Hans? | tiger_lab_math | [
0.016245661303400993,
0.007621333003044128,
-0.04729985073208809,
-0.04263347387313843,
0.025251587852835655,
-0.012688128277659416,
-0.026300175115466118,
0.06468243151903152,
0.0226531270891428,
-0.02084249071776867,
0.024685818701982498,
0.04162842035293579,
-0.032101549208164215,
-0.03... | 0.789269 | 0.812884 | -0.023615 |
A math student needs to find the number of ways to arrange a set of 6 pairs of parentheses such that they are all matched correctly.
The answer to the problem is the 6th Catalan Number, which is 132. | tiger_lab_math | [
0.04742046445608139,
0.024623749777674675,
-0.028300777077674866,
-0.03145294636487961,
0.04365352541208267,
-0.004723059479147196,
-0.016703834757208824,
0.034216176718473434,
0.041760336607694626,
-0.026880931109189987,
0.01871412619948387,
0.04553931951522827,
-0.03149719536304474,
-0.0... | 0.826051 | 0.830615 | -0.004564 |
Dave breaks 2 guitar strings per night when playing live. If he performs 6 shows a week for 12 weeks, how many guitar strings will he need to replace? Please write a program to solve it | tiger_lab_math | [
0.027075961232185364,
0.024341372773051262,
-0.05114438757300377,
-0.027180537581443787,
0.03903937339782715,
-0.04787077382206917,
-0.00583944795653224,
0.05239497497677803,
0.020180832594633102,
-0.010451238602399826,
0.01824871636927128,
0.04427792876958847,
-0.03846731409430504,
-0.036... | 0.819486 | 0.831657 | -0.012171 |
A conference center has six rooms. Each room can hold up to 80 people. Today, the conference center is only 2/3 full. How many people are in the conference center? | tiger_lab_math | [
0.03026662766933441,
0.011664987541735172,
-0.05605131387710571,
-0.006976525764912367,
0.033007435500621796,
-0.029369410127401352,
-0.0380001924932003,
0.04189547523856163,
0.05583228915929794,
-0.02726222388446331,
0.0137336989864707,
0.035172950476408005,
-0.04461315646767616,
-0.02695... | 0.79676 | 0.805916 | -0.009156 |
Solve the equation:
A) 16x + 10 – 32 = 35 – 10x - 5,
B) y + 3/2y + 25 = 1/2y + 3/4y – 5/2y + y + 37,
C) 7u – 9 – 3u + 5 = 11u – 6 – 4u
Answer Choices: (A) 2, 48/11, 2/3 (B) 3, 48/11, 2/3 (C) 2, 48/11, 2/4 (D) 4, 48/11, 2/3 (E) None | tiger_lab_math | [
0.041058920323848724,
0.03312300145626068,
-0.03106503374874592,
-0.04133940488100052,
0.05750573053956032,
-0.02946607954800129,
-0.013838481158018112,
0.08322442322969437,
0.054273225367069244,
-0.00801659282296896,
0.031153658404946327,
0.04690343886613846,
-0.027979247272014618,
-0.032... | 0.828849 | 0.847713 | -0.018863 |
Passage: In 2014, Aston Martin suffered a pre-tax loss of £72 million, almost triple that of 2013 selling 3,500 cars during the year, well below 7,300 sold in 2007 and 4,200 sold in 2013. In March 2014, Aston Martin issued "payment in kind" notes of US$165 million, at 10.25% interest, in addition to the £304 million of... | tiger_lab_math | [
0.004425539169460535,
0.01811196096241474,
-0.021861257031559944,
-0.032515645027160645,
0.03898255154490471,
-0.01869693025946617,
-0.018763583153486252,
0.04592042416334152,
0.040078096091747284,
0.0023774723522365093,
0.033000364899635315,
0.00034438518923707306,
-0.03489089012145996,
-... | 0.749788 | 0.774108 | -0.024319 |
Tim and Élan are 90 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
Answer Choices: (A) 30 miles. (B) 35 miles. (C) 45 mil... | tiger_lab_math | [
0.014346558600664139,
0.022292321547865868,
-0.005310941953212023,
-0.04137030616402626,
0.01261781994253397,
-0.016536638140678406,
-0.03852536901831627,
0.044019050896167755,
0.047358132898807526,
-0.03467141091823578,
0.02703012339770794,
0.021876918151974678,
-0.033785175532102585,
-0.... | 0.798642 | 0.818625 | -0.019983 |
A software has coding line 5% more than B, B software has coding line 4/12 more than C. C software has 90 lines of coding. find A lines.
Answer Choices: (A) 106 (B) 107 (C) 108 (D) 126 (E) 110 | tiger_lab_math | [
0.01474362425506115,
-0.01620952971279621,
-0.04055360332131386,
-0.013173548504710197,
0.04028633236885071,
-0.05035998299717903,
-0.029557690024375916,
0.09536553174257278,
0.05409415438771248,
-0.02745087258517742,
0.016177991405129433,
0.05142790079116821,
-0.03966934233903885,
-0.0122... | 0.800321 | 0.826558 | -0.026237 |
two trains , a and b , started simultaneously from opposite ends of a 120 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 120 - mile trip in 6 hours ; train b , traveling at a constant rate , completed the 120 - mile trip in 4 hours . how many mile... | tiger_lab_math | [
0.03730770945549011,
0.015446966513991356,
-0.02947753667831421,
-0.02525097131729126,
0.03278425335884094,
-0.02330170013010502,
-0.04687555134296417,
0.046386752277612686,
0.036906465888023376,
-0.013938446529209614,
0.023690655827522278,
0.019501235336065292,
-0.006335786078125238,
-0.0... | 0.797663 | 0.804924 | -0.007261 |
Consider the function f(x) = x^3 - 4x^2 + 6x - 24. What is the maximum number of real roots that this function can have? Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 | tiger_lab_math | [
0.061295658349990845,
0.0383845679461956,
-0.035883236676454544,
-0.028145961463451385,
0.01940588280558586,
-0.04395164176821709,
-0.013308840803802013,
0.056694917380809784,
0.026544976979494095,
-0.01892104372382164,
0.019177699461579323,
0.0405849888920784,
-0.028648290783166885,
-0.04... | 0.825505 | 0.845138 | -0.019633 |
A lady who lived in a shoe had to buy Christmas gifts for her big family. She selected the cheapest stocking stuffers. The bill was still high. There was an addition of 15 percent of the sales tax and an addition of the 5 percent of the luxury tax to the actual amount. She paid $100.
Find out the original price of the ... | tiger_lab_math | [
0.008980979211628437,
0.015385543927550316,
-0.03124896250665188,
-0.019921140745282173,
0.0624815970659256,
-0.02413809299468994,
-0.0004884931840933859,
0.07904329895973206,
0.050191305577754974,
-0.012880931608378887,
0.02484177239239216,
0.034314386546611786,
-0.05486760288476944,
-0.0... | 0.787128 | 0.814992 | -0.027864 |
It is raining outside and Bill puts his empty fish tank in his yard to let it fill with rainwater. It starts raining at 1 pm. 2 inches of rainfall in the first hour. For the next four hours, it rains at a rate of 1 inch per hour. It then rains at three inches per hour for the rest of the day. If the fish tank is 18 inc... | tiger_lab_math | [
0.03663088008761406,
0.032615695148706436,
-0.024660596624016762,
-0.020779211074113846,
0.039002951234579086,
-0.050746455788612366,
-0.03896750137209892,
0.05819571018218994,
0.0178740955889225,
-0.001206408254802227,
0.007790077943354845,
0.023536130785942078,
-0.03545651212334633,
-0.0... | 0.757269 | 0.77001 | -0.01274 |
A garden is filled with 105 flowers of various colors. There are twice as many red flowers as orange. There are five fewer yellow flowers than red. If there are 10 orange flowers, how many pink and purple flowers are there if they have the same amount and there are no other colors? | tiger_lab_math | [
-0.004595087841153145,
0.009585697203874588,
-0.03782360255718231,
-0.03584868460893631,
0.012162940576672554,
-0.05173428729176521,
-0.03965992107987404,
0.058923885226249695,
0.04261869937181473,
-0.024171756580471992,
-0.010176358744502068,
0.03405795618891716,
-0.038990337401628494,
-0... | 0.813493 | 0.817964 | -0.004472 |
Axel bought an aquarium that was marked down 50% from an original price of $120. But he also paid additional sales tax equal to 5% of the reduced price. What was the total cost of the aquarium? | tiger_lab_math | [
0.007176105864346027,
-0.0013614094350486994,
-0.05224476009607315,
-0.032264433801174164,
0.05391773208975792,
-0.022067030891776085,
-0.021379778161644936,
0.060099564492702484,
0.047219112515449524,
-0.001954058650881052,
0.031753625720739365,
0.011997192166745663,
-0.06378556042909622,
... | 0.782412 | 0.804346 | -0.021935 |
In a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1/3 . If the probability that a number 1 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 15 is drawn?
Answer Choices: (A) 2 by 3 (B) 1/3 (C) 1/4 (D) 1/6 (E) 2/5 | tiger_lab_math | [
0.014255817048251629,
0.01519964449107647,
-0.01725160703063011,
-0.03075117990374565,
0.0648435577750206,
-0.008481689728796482,
-0.028458790853619576,
0.06332852691411972,
0.019873976707458496,
-0.005604645702987909,
0.023292124271392822,
0.02489330619573593,
-0.025935158133506775,
-0.02... | 0.808401 | 0.820153 | -0.011752 |
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be?
Answer Choices: (A) Rs. 147.50 (B) Rs. 785.50 (C) Rs. 178.50 (D) Rs. 258.50 (E) None of these | tiger_lab_math | [
0.03766097128391266,
0.03871640935540199,
-0.030939090996980667,
-0.03036646358668804,
0.0387934111058712,
-0.03975194692611694,
-0.028063016012310982,
0.042397283017635345,
0.027660725638270378,
0.005113586783409119,
0.030855167657136917,
0.014544465579092503,
-0.032246824353933334,
-0.00... | 0.788509 | 0.809136 | -0.020628 |
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.50 per rake each month from March through Octobe... | tiger_lab_math | [
0.04150709509849548,
0.018418435007333755,
-0.06376863270998001,
-0.016188720241189003,
0.0360475555062294,
-0.034043822437524796,
-0.029300589114427567,
0.08246764540672302,
0.05408701300621033,
-0.017392585054039955,
0.01745728775858879,
0.024638889357447624,
-0.046036139130592346,
-0.04... | 0.803967 | 0.819093 | -0.015125 |
a candidate appearing for an examination has to secure 52 % marks to pass paper i . but he secured only 45 marks and failed by 35 marks . what is the maximum mark for paper i ? Please respond by writing a program in Python. | tiger_lab_math | [
0.03047933056950569,
0.02371903881430626,
-0.016540031880140305,
-0.04642638936638832,
0.039817437529563904,
-0.022344758734107018,
-0.03176915645599365,
0.05875823646783829,
0.011961725540459156,
-0.004700225777924061,
0.022781455889344215,
0.0031220607925206423,
-0.02823793701827526,
-0.... | 0.791794 | 0.810527 | -0.018733 |
Jesse is desperately trying to finish a book for a school book report due on Monday so he can play this weekend. Friday afternoon, he read the first 5 chapters, which were 10, 15, 27, 12, and 19 pages, respectively, before taking a break. To his dismay, he found that he was only 1/3 of the way through the book. How man... | tiger_lab_math | [
0.03065958432853222,
0.01640174351632595,
-0.032441675662994385,
-0.05210011824965477,
0.03199179098010063,
-0.03177390247583389,
-0.013270657509565353,
0.04529259353876114,
0.003911939449608326,
-0.007257754914462566,
0.007804370019584894,
0.012052632868289948,
-0.051298871636390686,
-0.0... | 0.802588 | 0.813779 | -0.011192 |
Here's a numerical problem for you:
A company wants to minimize the total cost of producing n units of a product. The cost function is given by the equation C(n) = 0.05n^2 + 20n + 500. Using the gradient descent method, determine the optimal number of units to produce and estimate the minimum cost of production. Star... | tiger_lab_math | [
-0.0048868851736187935,
0.022066917270421982,
-0.04983928054571152,
-0.020816350355744362,
0.05034945160150528,
-0.030049117282032967,
-0.03841312229633331,
0.07143175601959229,
0.034338854253292084,
-0.006490457337349653,
0.007533552590757608,
0.01595580391585827,
-0.027889449149370193,
-... | 0.822555 | 0.816783 | 0.005773 |
A manufacturer produces two types of products, A and B. The products require two types of machines, X and Y, to be manufactured. Each unit of product A requires 2 hours of machine X time and 1 hour of machine Y time, while each unit of product B needs 1 hour of machine X time and 3 hours of machine Y time. The total we... | tiger_lab_math | [
0.018767712637782097,
0.006289191078394651,
-0.04391752555966377,
0.003081643721088767,
0.0036792962346225977,
-0.019094888120889664,
-0.05383621156215668,
0.08785183727741241,
0.02782391384243965,
-0.009364202618598938,
0.0025088274851441383,
0.03417013958096504,
-0.02598424442112446,
-0.... | 0.806423 | 0.788265 | 0.018158 |
A man took some money for borrowed, for 3 years the total will be Rs.4500 and 5 years it will be Rs.5500/-. Then how much amount he borrowed?
Answer Choices: (A) s.2000/- (B) s.2500/- (C) s.2770/- (D) s.2800/- (E) s.3000/- | tiger_lab_math | [
0.012573804706335068,
0.013897476717829704,
-0.03847784921526909,
-0.025103142485022545,
0.02094852179288864,
-0.03307361528277397,
0.005976949818432331,
0.047705963253974915,
0.023896001279354095,
-0.018765155225992203,
0.013811401091516018,
0.034005217254161835,
-0.0381518229842186,
-0.0... | 0.791326 | 0.827927 | -0.036601 |
Eight years back, a father was 52 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?
Answer Choices: (A) 10 years (B) 12 years (C) 14 years (D) 16 years (E) 18 years | tiger_lab_math | [
0.03770723566412926,
0.02918376214802265,
-0.0260652843862772,
-0.030019374564290047,
0.03384186699986458,
-0.02576768957078457,
-0.01654299534857273,
0.07138359546661377,
0.042388878762722015,
-0.024894138798117638,
0.015155119821429253,
0.04270375519990921,
-0.05322803556919098,
-0.02432... | 0.78888 | 0.825408 | -0.036528 |
Suppose you have a graph G with 10 vertices. If you want to color each vertex either red, blue, or green, such that no two adjacent vertices have the same color, then what is the maximum number of colors that you can use? | tiger_lab_math | [
0.014679931104183197,
0.01585731841623783,
-0.026388773694634438,
-0.03219044208526611,
-0.004056223668158054,
-0.0292495284229517,
-0.042769961059093475,
0.046427398920059204,
0.020528171211481094,
-0.052575159817934036,
0.01686650887131691,
0.03044285625219345,
-0.00882877130061388,
-0.0... | 0.817945 | 0.818183 | -0.000238 |
Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 120. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Answer Choices: (A) (a) 100 (B) (b) 81 (C) (c) 82 (D) (d) 83 (E) (e) 84 | tiger_lab_math | [
0.03208952769637108,
0.01037650927901268,
-0.02673882432281971,
-0.021393513306975365,
0.044696442782878876,
-0.0340396948158741,
-0.02041587233543396,
0.03583536669611931,
0.030497798696160316,
-0.017743846401572227,
0.015600597485899925,
0.04638327285647392,
-0.04091115668416023,
-0.0453... | 0.822165 | 0.833299 | -0.011134 |
A school has 10 students and needs to divide them into three groups for a project. How many ways can they divide the students if one group has 3 students, one group has 4 students, and one group has 3 students? (Hint: Use multinomial coefficients) | tiger_lab_math | [
0.025088610127568245,
-0.0034534421283751726,
-0.05169917643070221,
-0.025205060839653015,
0.030064767226576805,
-0.036763351410627365,
-0.032346609979867935,
0.04305623844265938,
0.024141110479831696,
-0.007901011034846306,
0.02357632853090763,
0.04945070669054985,
-0.03222450613975525,
-... | 0.829637 | 0.829955 | -0.000318 |
Violet is planning a hike through the desert with her dog. Violet needs 800 ml of water per hour hiked and her dog needs 400 ml of water per hour. If Violet can carry 4.8 L of water, how many hours can she and her dog spend hiking? Please write a program to solve it | tiger_lab_math | [
-0.003534444607794285,
0.02569444105029106,
-0.044264186173677444,
-0.03844713792204857,
0.015046141110360622,
-0.04600982740521431,
-0.05098312348127365,
0.06212092190980911,
0.039895784109830856,
-0.025869863107800484,
0.012533553875982761,
0.03290136158466339,
-0.013048999011516571,
-0.... | 0.799359 | 0.814106 | -0.014746 |
The total number of employees in a company is 450, and each employee earns $2000 per month. If the company laid off 1/3 of its employees due to tough economic times, calculate the total amount of money the company paid to the remaining employees. | tiger_lab_math | [
0.01870596781373024,
0.023427359759807587,
-0.055042121559381485,
-0.04544854164123535,
0.05040964111685753,
-0.03524944186210632,
-0.022240713238716125,
0.04962963983416557,
0.032808318734169006,
-0.006282441783696413,
0.03596290946006775,
0.010192286223173141,
-0.03769967705011368,
-0.03... | 0.794783 | 0.804509 | -0.009726 |
Let's say we have a transposition cipher with 10 columns and its ciphertext is "TRGANISPE" but we do not know the key used for encryption. Can you calculate the number of possible keys that could have been used? | tiger_lab_math | [
0.030455859377980232,
0.031807027757167816,
-0.031111279502511024,
-0.03339403122663498,
0.03700746223330498,
-0.030145201832056046,
-0.0032724449411034584,
0.04760855436325073,
0.02026616781949997,
-0.01457576360553503,
0.029531555250287056,
0.002165215788409114,
-0.050498105585575104,
-0... | 0.813737 | 0.829154 | -0.015416 |
There are 30 different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left? | tiger_lab_math | [
-0.006609861273318529,
0.023968350142240524,
-0.043971866369247437,
-0.034896526485681534,
0.027780193835496902,
-0.01125299371778965,
-0.026692131534218788,
0.034139931201934814,
0.038877978920936584,
-0.04449579864740372,
0.01790650561451912,
0.04047562927007675,
-0.03975754231214523,
-0... | 0.80878 | 0.838553 | -0.029772 |
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Answer Choices: (A) 5% (B) 8% (C) 10% (D) 12% (E) 6% | tiger_lab_math | [
0.01615902967751026,
0.02116720750927925,
-0.022887444123625755,
-0.01755453273653984,
0.029971780255436897,
-0.04081188887357712,
-0.018483690917491913,
0.055907510221004486,
0.021878967061638832,
0.007826772518455982,
0.006326975300908089,
0.04487689584493637,
-0.0375063456594944,
0.0061... | 0.792292 | 0.816787 | -0.024495 |
Find the remainder when $7145 + 7146 + 7147 + 7148 + 7149$ is divided by 8. Let's program in Python in the response. | tiger_lab_math | [
0.007406664080917835,
0.02189474366605282,
-0.01799834333360195,
-0.0526750274002552,
0.03803364187479019,
-0.03764786571264267,
-0.034400805830955505,
0.06813866645097733,
0.05320955812931061,
-0.016068419441580772,
0.020346233621239662,
0.016329536214470863,
-0.048580415546894073,
0.0008... | 0.814502 | 0.837765 | -0.023263 |
Consider the 2-sphere $S^2$ with an equatorial circle $C$ of radius 1. Let $D$ be the closed disk of radius 1 centered at a point on $C$, and let $D'$ be the interior of $D$. Find the smallest non-negative integer $n$ such that there is a continuous map from $D$ to $S^2 - C$ that misses at least $n$ points of $S^2 - C$... | tiger_lab_math | [
0.011154421605169773,
0.032392315566539764,
-0.03291977941989899,
-0.03406260162591934,
0.03141600638628006,
-0.008325156755745411,
-0.018287576735019684,
0.04295263811945915,
0.023025866597890854,
-0.014051566831767559,
0.019716929644346237,
0.032550208270549774,
-0.012851914390921593,
0.... | 0.856502 | 0.83308 | 0.023422 |
Carly is trying to get in shape to try out for the soccer team. She starts by running 2 miles a week. The second week, she runs twice as long plus 3 extra miles per week. The third week she runs 9/7 as much as she ran the second week. The week after that, she sprains her ankle and has to reduce her running time by 5 mi... | tiger_lab_math | [
0.023444155231118202,
0.01597827672958374,
-0.05493806302547455,
-0.01930021122097969,
0.04771434888243675,
-0.020016523078083992,
-0.04328727722167969,
0.0731375515460968,
0.03030610829591751,
-0.029268477112054825,
0.01870914176106453,
0.031131258234381676,
-0.040996331721544266,
-0.0170... | 0.820091 | 0.821275 | -0.001184 |
There are 24 students in Chad’s class. He brought 25 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Answer Choices: (A) 1-9 (B) 1-7 (C) 2-8 (D) 1-1 (E) 3-10 | tiger_lab_math | [
-0.0001776051358319819,
0.009360546246170998,
-0.015160915441811085,
-0.038506556302309036,
0.027514949440956116,
-0.041214365512132645,
-0.01917978934943676,
0.050576671957969666,
0.027894839644432068,
-0.022326121106743813,
0.015738176181912422,
0.03627794608473778,
-0.03910196200013161,
... | 0.805997 | 0.832889 | -0.026891 |
"statement 1": All of them started to work together but Rashmi leaves after 4 days, "statement 2" :All of them started to work together but Rashmi leaves after less than 4 days, "options: " Entailment or contradiction or neutral? Let's write a Python program. | tiger_lab_math | [
0.03219974413514137,
0.008760329335927963,
-0.03065786510705948,
-0.03160210698843002,
0.05203297734260559,
-0.02316197194159031,
-0.018657943233847618,
0.07161948084831238,
0.034250408411026,
-0.00998897198587656,
0.018309148028492928,
0.02614833228290081,
-0.022505223751068115,
-0.012082... | 0.784383 | 0.800433 | -0.016051 |
"statement 1": The Americans started their defense of the cup on minus two after being punished for illegally modifying their catamarans ., "statement 2" :U.S. crew started the best-of-17 series on -2 after illegally modifying catamarans, "options: " Entailment or neutral? Please respond by writing a program in Python... | tiger_lab_math | [
0.03517349064350128,
0.002261796500533819,
-0.02077377401292324,
-0.03197035193443298,
0.044411566108465195,
-0.00980560202151537,
-0.011259129270911217,
0.0662299320101738,
0.026917487382888794,
-0.023249875754117966,
0.014707658439874649,
0.03930051252245903,
-0.03467021510004997,
-0.012... | 0.782102 | 0.793882 | -0.01178 |
How many multiples of 10 are there between 10 and 290 ?
Answer Choices: (A) 8 (B) 18 (C) 27 (D) 51 (E) 60 | tiger_lab_math | [
0.011371459811925888,
0.009325294755399227,
-0.010921129956841469,
-0.018233083188533783,
0.04322514683008194,
-0.05529161915183067,
-0.039948027580976486,
0.04617805406451225,
0.033102136105298996,
-0.03670192137360573,
0.013974051922559738,
0.05181589350104332,
-0.04158446565270424,
-0.0... | 0.802333 | 0.836443 | -0.034109 |
Calculate the sum $1 + 3 + 5 + \cdots + 15 + 17$. Let's write a Python program. | tiger_lab_math | [
0.003863370046019554,
0.03057759255170822,
-0.04087241739034653,
-0.04300939664244652,
0.05236799642443657,
-0.026035316288471222,
-0.0303997453302145,
0.05524264648556709,
0.04317886009812355,
-0.0184983741492033,
0.026274265721440315,
0.032612305134534836,
-0.05200957879424095,
-0.014108... | 0.792414 | 0.813731 | -0.021317 |
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
Answer Choices: (A) 33.33 litres (B) 36.67 litres (C) 37... | tiger_lab_math | [
0.02255295217037201,
0.019610892981290817,
-0.021413654088974,
-0.018272656947374344,
0.03295043855905533,
-0.049875762313604355,
-0.01391521655023098,
0.07026208937168121,
0.06169340759515762,
-0.016963226720690727,
0.029946114867925644,
0.03500828519463539,
-0.0450039841234684,
-0.027876... | 0.801485 | 0.82809 | -0.026604 |
Trip wanted to watch the new action movie in theaters. An evening ticket cost $10 and a large popcorn & drink combo would cost him an additional $10. He noticed on their website, they had a special offer. From 12 noon to 3 pm, save 20% off tickets and 50% off any food combos. How much money could Trip save by going... | tiger_lab_math | [
0.02839621901512146,
0.019667472690343857,
-0.041753362864255905,
-0.012110111303627491,
0.039314545691013336,
-0.02729222923517227,
-0.018860040232539177,
0.059080202132463455,
0.030203409492969513,
-0.0027894109953194857,
0.012413041666150093,
-0.0007905390812084079,
-0.08159933984279633,
... | 0.782366 | 0.792892 | -0.010526 |
The sum of all consecutive odd integers from −27 to 37, inclusive, is
Answer Choices: (A) 110 (B) 135 (C) 150 (D) 165 (E) 235 | tiger_lab_math | [
0.014006422832608223,
0.0019607869908213615,
-0.008019416593015194,
-0.06138118356466293,
0.03827286511659622,
-0.025030774995684624,
-0.023254433646798134,
0.04063374176621437,
0.04028552025556564,
-0.01332947425544262,
0.02071223594248295,
0.045264653861522675,
-0.05540882796049118,
-0.0... | 0.815528 | 0.845723 | -0.030195 |
Let G_n(s) be the probability generating function of the size Z_n of the n-th generation of a branching process, where Z_0=1 and var(Z_1)>0. Let H_n be the inverse function of the function G_n, viewed as a function on the interval [0, 1]. Is M_n= {H_n(s)}^{Z_n} defines a martingale with respect to the sequence Z? Retu... | tiger_lab_math | [
0.00865551084280014,
0.02998809516429901,
-0.03133830428123474,
-0.022315241396427155,
0.044695015996694565,
-0.02897661179304123,
-0.002727799117565155,
0.07728663086891174,
0.024610331282019615,
0.0034448641818016768,
0.003793529001995921,
0.020982254296541214,
-0.03313680365681648,
0.00... | 0.821788 | 0.810012 | 0.011776 |
What is the number of critical points of the following function on the sphere $\mathbb{S}^2$:
$$f(x,y,z) = x^3 + y^3 + z^3 - 3xyz$$ | tiger_lab_math | [
-0.002576500875875354,
0.03336181864142418,
-0.0654948279261589,
-0.04390412196516991,
0.01626407541334629,
-0.0036552271340042353,
-0.02523490972816944,
0.04184271767735481,
0.02685338445007801,
-0.0044478545896708965,
0.021013598889112473,
0.03440200909972191,
-0.03452150151133537,
-0.03... | 0.840885 | 0.83657 | 0.004315 |
The decimal representation of a fraction ends in $0.\overline{3}$. When the decimal is changed to a common fraction and reduced to lowest terms, what is the denominator of the fraction? | tiger_lab_math | [
0.000204896365175955,
0.01821347326040268,
-0.04192222282290459,
-0.05108989402651787,
0.04436482489109039,
-0.02659461833536625,
-0.012971295975148678,
0.05782875418663025,
0.03554240241646767,
-0.027469128370285034,
0.014290490187704563,
0.02386258915066719,
-0.02955273725092411,
-0.0096... | 0.811201 | 0.83184 | -0.02064 |
Solve for x and check: x + 5 = 3
Answer Choices: (A) 2 (B) 3 (C) 1 (D) -2 (E) 4 | tiger_lab_math | [
0.03792994096875191,
0.015606897883117199,
-0.031244609504938126,
-0.032810162752866745,
0.04481257125735283,
-0.03377723693847656,
-0.0024597046431154013,
0.06964126229286194,
0.0435253381729126,
-0.005856229458004236,
0.024480585008859634,
0.044299833476543427,
-0.046605534851551056,
-0.... | 0.811457 | 0.835452 | -0.023995 |
Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took P.E. as an elective, 1/3 of the students took Theatre as an elective, and all of the other students took Music. In this year, 1/3 of the students who took P.E. and 1/4 of the students who took Theatre le... | tiger_lab_math | [
0.02539304457604885,
0.01750139333307743,
-0.04818163812160492,
-0.033299077302217484,
0.04343944042921066,
-0.04247444123029709,
-0.017389977350831032,
0.04865194857120514,
0.031194720417261124,
-0.009572307579219341,
0.03696246072649956,
0.019948290660977364,
-0.023989401757717133,
-0.03... | 0.804265 | 0.815917 | -0.011652 |
average weight of 15 boys in a class is 48 kgs . the average weight of the class of 25 students is 45 kgs . what is the average weight of the 15 girls in the class ? Let's write a Python program. | tiger_lab_math | [
0.013691619969904423,
0.016344629228115082,
-0.04266192391514778,
-0.06747650355100632,
0.045880965888500214,
-0.04194675013422966,
-0.035889141261577606,
0.040902506560087204,
0.03077257238328457,
-0.03119996376335621,
0.030170708894729614,
0.02706468477845192,
-0.04040520265698433,
-0.01... | 0.787229 | 0.811168 | -0.023939 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.