id stringlengths 6 20 | source stringclasses 6
values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
values | category stringclasses 7
values |
|---|---|---|---|---|---|---|---|
aquarat_12889 | deepmind/aqua_rat | A train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds. Its length is? | A. 128 B. 177 C. 199 D. 120 E. 150 | D. 120 | Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 11 => y = x/11
x + 120 / 22 = x / 11
x = 120 m.
Answer:D | high_school_physics | physics |
allenai/sciq_10380 | allenai/sciq | What's it called when the reaction is sped up until equilibrium is established?
A. division
B. favoring
C. limiting
D. pushing | B. favoring | If more NH 3 were added, the reverse reaction would be favored. This “favoring” of a reaction means temporarily speeding up the reaction in that direction until equilibrium is reestablished. Recall that once equilibrium is reestablished, the rates of the forward and reverse reactions are again equal. The addition of NH... | high_school_chemistry | chemistry | |
mmlu_aux_train_72850 | mmlu_aux_train | If your pen broke at school today,what would you do?You would go to a shop and buy a new one.What if you could simply print out a real,working pen with your 3-D printer without leaving your room? The 3-D printer has been used to make many different things.People have made cups cars and even an airplane with it. Doctors... | B. science fiction movies | college_computer_science | computer_science | ||
math_358 | math_mc | If $|x-2|=p$, where $x<2$, then what is $x-p$ in terms of $p$? | C | math_Algebra | mathematics | ||
math_1897 | math_mc | In the diagram, $AB$ is parallel to $DC,$ and $ACE$ is a straight line. What is the value of $x?$ [asy]
draw((0,0)--(-.5,5)--(8,5)--(6.5,0)--cycle);
draw((-.5,5)--(8.5,-10/7));
label("$A$",(-.5,5),W);
label("$B$",(8,5),E);
label("$C$",(6.5,0),S);
label("$D$",(0,0),SW);
label("$E$",(8.5,-10/7),S);
draw((2,0)--(3,0),Arro... | D | math_Prealgebra | mathematics | ||
pythonio_722 | pythonio-mc | Program:
def get_Number(n, k):
arr = [0] * n;
i = 0;
odd = 1;
while (odd <= n):
arr[i] = odd;
i += 1;
odd += 2;
even = 2;
while (even <= n):
arr[i] = even;
i += 1;
even += 2;
return arr[k - 1];
Input:
get_Number(5,2)
... | C | code | computer_science | ||
mmlu_aux_train_56366 | mmlu_aux_train | The Teens & Self-Image survey organized by USA WEEKEND attracted an unprecedented 272,400. The majority of teens say they feel good about themselves, but many express misgivings about who they are, especially about their appearance. The results show that looks are key. Only 4 in 10 respondents consider themselves... | D. Self-image of American Teenagers | high_school_statistics | mathematics | ||
pythonio_819 | pythonio-mc | Program:
from itertools import groupby
def extract_elements(numbers, n):
result = [i for i, j in groupby(numbers) if len(list(j)) == n]
return result
Input:
extract_elements([0,0,0,0,0],5)
Output: | B | code | computer_science | ||
aquarat_64032 | deepmind/aqua_rat | If PINTU is coded as 79523 in a certain code language, how would you code BUNTU in the same language? | A. 13426 B. 23523 C. 13436 D. 14263 E. 15263 | B. 23523 | 1 2 3 4 5 6 7 8 9
a b c d e f g h i
j k l m n o p q r
s t u v w x y z
sooo...BUNTU is 23523...
ANSWER:B | formal_logic | mathematics |
pythonio_840 | pythonio-mc | Program:
def maximum_product(nums):
import heapq
a, b = heapq.nlargest(3, nums), heapq.nsmallest(2, nums)
return max(a[0] * a[1] * a[2], a[0] * b[0] * b[1])
Input:
maximum_product( [12, 74, 9, 50, 61, 41])
Output: | D | code | computer_science | ||
math_978 | math_mc | A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a $\textit{lune}$. Determine the area of this lune. Express your answer in terms of $\pi$ and in simplest radical form.
[asy]
fill((0,2.73)..(1,1... | A | math_Geometry | mathematics | ||
NLP4Education_49 | NLP4Education | Consider the following lexicon \(L\):
bear : V, N
bears : V, N
blue : Adj, N
drink : N, V
drinks : N, V
Nice : Adj, N
When using an order-1 HMM model (using \(L\)) to tag the word sequence: "Nice bears drink blue drinks" does the tag of drink depend on the tag of nice?
A. Yes, because the order-1 H... | A. Yes, because the order-1 HMM maximizes the sequence probability as a whole. | machine_learning | computer_science | ||
mmlu_aux_train_54642 | mmlu_aux_train | Scientists have created a " human-like robot" that can dance and do the housework. " Mahru" has been developed to imitate humans and can move its lips, eyebrows and pupils . The machine can also move its upper and lower body freely and automatically stop itself when walking. In addition, it has been programmed to give ... | A. dance with other human -like robots | computer_security | computer_science | ||
allenai/sciq_2347 | allenai/sciq | This inverse relationship between solubility and temperature can be understood by looking at a what?
A. nutrient model
B. a slide
C. molecular model
D. potassium model | C. molecular model | This inverse relationship between solubility and temperature can be understood by looking at a molecular model. Recall that higher temperatures are associated with faster particles. Gas particles are held in solution by attractive interactions with the solvent molecules. If the particles are moving slowly, these attrac... | high_school_chemistry | chemistry | |
allenai/sciq_10659 | allenai/sciq | What is the preferred method for separating late transition metals from their ores?
A. hydrometallurgy
B. hydraulics
C. purging
D. heating | A. hydrometallurgy | Hydrometallurgy is the preferred method for separating late transition metals from their ores. What types of ligands are most effective in this process?. | college_chemistry | chemistry | |
allenai/sciq_3690 | allenai/sciq | What is the most abundant element in the universe?
A. hydrogen
B. oxygen
C. fluoride
D. helium | A. hydrogen | Summary By far the most abundant element in the universe is hydrogen. The fusion of hydrogen nuclei to form helium nuclei is the major process that fuels young stars such as the sun. Elements heavier than helium are formed from hydrogen and helium in the interiors of stars. Successive fusion reactions of helium nuclei ... | astronomy | physics | |
math_793 | math_mc | The diameter $AB$ of a circle of radius $2$ is extended to a point $D$ outside the circle so that $BD=3$. Point $E$ is chosen so that $ED=5$ and line $ED$ is perpendicular to line $AD$. Segment $AE$ intersects the circle at a point $C$ between $A$ and $E$. What is the area of $\triangle ABC$?
$\textbf{(A)}\ \frac{120}... | D | math_Geometry | mathematics | ||
mmlu_aux_train_84442 | mmlu_aux_train | It was getting late. There was no noise in the forest. We could only hear the birds singing. And then, a bear--a big brown bear--came into the forest. The bear stopped under a tall tree. He was very hungry. He looked up into the tree. There in the nut tree was his supper--a supper of nice nuts. But the nuts were high u... | D. He fell down with the branch of the tree. Then he took the nuts and ate them. | high_school_biology | biology | ||
math_2099 | math_mc | An ellipse is defined parametrically by
\[(x,y) = \left( \frac{2 (\sin t - 1)}{2 - \cos t}, \frac{3 (\cos t - 5)}{2 - \cos t} \right).\]Then the equation of the ellipse can be written in the form
\[Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0,\]where $A,$ $B,$ $C,$ $D,$ $E,$ and $F$ are integers, and $\gcd(|A|,|B|,|C|,|D|,|E|,|... | C | math_Precalculus | mathematics | ||
mmlu_aux_train_2799 | mmlu_aux_train | In a tug-of-war game, balanced forces are best represented when both teams cause the flag to
A. stay in the middle.
B. fall to the ground.
C. move slowly in one direction.
D. be pulled quickly in one direction. | A. stay in the middle. | high_school_physics | physics | ||
math_1153 | math_mc | If $x,$ $y,$ and $k$ are positive real numbers such that \[3=k^2\left(\dfrac{x^2}{y^2}+\dfrac{y^2}{x^2}\right)+k\left(\dfrac{x}{y}+\dfrac{y}{x}\right),\]find the maximum possible value of $k.$ | A | math_Intermediate Algebra | mathematics | ||
aquarat_11966 | deepmind/aqua_rat | Sentence B can only be a concluding sentence; we find in the answer choice–b, a sequence of the sentences logically leading to the concluding sentence | A. 17 B. 88 C. 171 D. 19 E. 111 | B. 88 | Answer:B | formal_logic | mathematics |
aquarat_17188 | deepmind/aqua_rat | What is the smallest positive integer m such that the following equation
holds for some polynomials u(x) and v(x) with integer coefficients?
(x + 2)(x + 5)(x + 7) u(x) − (x − 2)(x − 5)(x − 7) v(x) = m | A. 70 B. 1260 C. 1680 D. 3780 E. 7560 | E. 7560 | Substituting x = 5 into the given equation, we deduce 7 · 10 · 12 · u(5) = m. Substituting x = 7
into the given equation, we deduce 9 · 12 · 14 · u(7) = m. It follows that m must be divisible by
each of 7 · 10 · 12 and 9 · 12 · 14 which implies that 23 · 33 · 5 · 7 = 7560 divides m. Of the choices,
we see that only (e)... | abstract_algebra | mathematics |
aquarat_11442 | deepmind/aqua_rat | When a random experiment is conducted, the probability that event A occurs is 1/4. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice? | A. 14/65 B. 27/128 C. 33/140 D. 37/165 E. 41/187 | B. 27/128 | One case is: 1/4*1/4*3/4*3/4=9/256
The total number of possible cases is 4C2 = 6
P(event A occurs exactly twice) = 6*(9/256) = 27/128
The answer is B. | high_school_statistics | mathematics |
aquarat_70029 | deepmind/aqua_rat | Prove that if a and b are different integers, then there exist infinitely many positive integers n such that a+n and b+n are relatively prime. | A. (a+n, b+n) = 50 B. 4 C. 3 D. 2 E. (a+n, b+n) = 1 | E. (a+n, b+n) = 1 | Let a ,and b be two different integers. Assume for instance a < b, and let n = (b-a)k+ I-a. For k sufficiently large, n will be positive integer. We have a+n = (b-a)k+l, b+n = (b-a) (k+l)+l, hence a+n and b+n will be positive integers. If we had d|a+n and d|b+n, we would have d|a-b, and, in view of d|a+n, also d|1, whi... | abstract_algebra | mathematics |
aquarat_71374 | deepmind/aqua_rat | If py + z = p(y + z), which of the following must be true? | A. x = 0 and z = 0 B. p = 1 and y = 1 C. p = 1 and z = 0 D. p = 1 or y = 0 E. p = 1 or z = 0 | E. p = 1 or z = 0 | py + z = py + pz
z = pz
case 1: z not= 0, p = z/z = 1
case 2: z = 0, 0 = p0 = 0
Combining 2 cases: p = 1 or z =0
E. is the answer. | abstract_algebra | mathematics |
allenai/sciq_1896 | allenai/sciq | The change in the characteristics of living things over time is known as _________
A. evolution
B. variation
C. spontaneous mutation
D. generation | A. evolution | Evolution is a change in the characteristics of living things over time. Evolution occurs by a process called natural selection. In natural selection, some living things produce more offspring than others, so they pass more genes to the next generation than others do. Over many generations, this can lead to major chang... | high_school_biology | biology | |
aquarat_24208 | deepmind/aqua_rat | If ‘MANIPUR’ is coded as ‘DAEIGCI', then ‘MIZORAM’ is coded as | A. DDFIHIA B. HIADDFI C. DFIHIAD D. DHIFIAD E. DIHFIAD | E. DIHFIAD | M=13,1+3=4=D
A=1=A
SIMILARLY,
M=13=1+3=4=D
I=9=I
Z=26=2+6=8=H
O=15=1+5=6=F
R=18=1+8=9=I
A=1=A
M=13=1+3=4=D
SO ANS IS
DIHFIAD
ANSWER:E | formal_logic | mathematics |
allenai/sciq_7838 | allenai/sciq | Researchers have identified the receptor proteins for all of the tastes except which?
A. salty
B. bitter
C. acid
D. sweet | A. salty | college_biology | biology | ||
allenai/sciq_8153 | allenai/sciq | What is the largest planet in the solar system?
A. jupiter
B. saturn
C. pluto
D. mars | A. jupiter | Jupiter is the largest planet in the solar system. It has bands of different colored clouds, and a long-lasting storm called the Great Red Spot. | astronomy | physics | |
mmlu_aux_train_16081 | mmlu_aux_train | Most students hate their endless homework. The students from Class 2, Senior 2 of the High School Affiliated to Peking University certainly did so before they published their own collection of English novels at home. Their small book contains stories about a holy war, the happy life of a self-taught artist and the st... | C. just wanted to express it freely | high_school_computer_science | computer_science | ||
allenai/sciq_4769 | allenai/sciq | The testes produce what hormone?
A. estrogen
B. insulin
C. dopamine
D. testosterone | D. testosterone | The gonads secrete sex hormones. The male gonads are called testes . They secrete the male sex hormone testosterone. The female gonads are called ovaries . They secrete the female sex hormone estrogen. Sex hormones are involved in the changes of puberty. They also control the production of gametes by the gonads. | college_biology | biology | |
allenai/sciq_394 | allenai/sciq | Atoms of the same element that have different masses are called what?
A. variations
B. mutations
C. isotopes
D. radioactive | C. isotopes | Isotopes are atoms of the same element that have different masses. | high_school_chemistry | chemistry | |
math_991 | math_mc | The two squares shown share the same center $O$ and have sides of length 1. The length of $\overline{AB}$ is $43/99$ and the area of octagon $ABCDEFGH$ is $m/n,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$
[asy] //code taken from thread for problem real alpha = 25; pair W=dir(225), X=dir(315),... | B | math_Geometry | mathematics | ||
math_1809 | math_mc | Given that $a$ is a multiple of $456$, find the greatest common divisor of $3a^3+a^2+4a+57$ and $a$. | C | math_Number Theory | mathematics | ||
pythonio_748 | pythonio-mc | Program:
def listify_list(list1):
result = list(map(list,list1))
return result
Input:
listify_list(['Red', 'Blue', 'Black', 'White', 'Pink'])
Output: | A | code | computer_science | ||
pythonio_596 | pythonio-mc | Program:
import re
def occurance_substring(text,pattern):
for match in re.finditer(pattern, text):
s = match.start()
e = match.end()
return (text[s:e], s, e)
Input:
occurance_substring('python programming,programming language','language')
Output: | D | code | computer_science | ||
allenai/sciq_9803 | allenai/sciq | What is found in abundance in the polar ice caps and under the surface of mars?
A. fossils
B. water
C. bacteria
D. carbon | B. water | There is a lot of water ice in the polar ice caps and under the surface of Mars. | astronomy | physics | |
mmlu_aux_train_99355 | mmlu_aux_train | Which substance is likely present for the birth of a mountain?
A. venom
B. peat
C. magma
D. sunlight | C. magma | college_geology | earth_science | ||
math_1704 | math_mc | In any month with five Mondays, a school declares the fifth Monday a Marvelous Monday. School begins on Monday, September 4. What is the date of the first Marvelous Monday after school starts? (If you abbreviate, do not use a dot in the abbreviation.) | C | math_Number Theory | mathematics | ||
math_691 | math_mc | How many ways are there to put 5 balls in 3 boxes if the balls are distinguishable but the boxes are not? | B | math_Counting & Probability | mathematics | ||
aquarat_69681 | deepmind/aqua_rat | If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 5? | A. -1 B. 0 C. 6 D. 2 E. 3 | C. 6 | Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 5
= x2(x - 2)2 + 5
= (1 + √2)2(1 + √2 - 2)2 + 5
=(√2 + 1)2 (√2 - 1)2 + 5
=[(√2)2 - (1)2]2 + 5
=(2 - 1)2 =1 + 5=6
Correct Option: C | college_mathematics | mathematics |
NLP4Education_572 | NLP4Education | Tick the \emph{false} assumption.
A. Static Diffie-Hellman has forward secrecy.
B. Running the static Diffie-Hellman protocol between Alice and Bob always produces the same communications.
C. Static Diffie-Hellman can be implemented using elliptic curves.
D. In ephemeral Diffie-Hellman, $g^x$ and $g^y$ are discarded at... | A. Static Diffie-Hellman has forward secrecy. | computer_security | computer_science | ||
mmlu_aux_train_11893 | mmlu_aux_train | During my travels through the mountains of Greece I was only ever scared once.It was dusk and as I walked alone I came across six large wolves that were feeding on the body of a dead animal.I had heard many stories about wolves as a child and it was this animal that I feared more than any other.The wolves before me wer... | D. The man showed no fear as he passed them by. | high_school_biology | biology | ||
allenai/sciq_6970 | allenai/sciq | Capacitors can be used to filter out low frequencies. for example, a capacitor in series with a sound reproduction system rids it of the 60 hz what?
A. white noise
B. echo
C. hum
D. vibration | C. hum | the current. Capacitors can be used to filter out low frequencies. For example, a capacitor in series with a sound reproduction system rids it of the 60 Hz hum. | electrical_engineering | engineering | |
allenai/sciq_4408 | allenai/sciq | What are biochemical compounds that living things use to store energy and make cell membranes?
A. lipids
B. proteins
C. nucleic acid
D. carbohydrates | A. lipids | Lipids are biochemical compounds that living things use to store energy and make cell membranes. Types of lipids include fats, oils, and phospholipids. | high_school_biology | biology | |
allenai/sciq_11666 | allenai/sciq | What amazing machines smash particles that are smaller than atoms into each other head-on?
A. nitrogen accelerators
B. observant accelerators
C. particle accelerators
D. absorption accelerators | C. particle accelerators | Scientists have built machines called particle accelerators. These amazing tools smash particles that are smaller than atoms into each other head-on. This creates new particles. Scientists use particle accelerators to learn about nuclear fusion in stars. They can also learn about how atoms came together in the early un... | college_physics | physics | |
aquarat_40717 | deepmind/aqua_rat | The greatest common divisor of (b-2)!,(b+1)!, and (b+4)! is 5040. what is the value of b? | A. 8 B. 10 C. 12 D. 9 E. 6 | D. 9 | GCD of (b-2)!,(b+1)!, and (b+4)! is 5040. Find x.
Best way to find n is substitute each of the answer and find out the correct one.
Only option D gave the correct answer.
Option D: 9 and find GCD or 7!, 10! and 13!. 7! itself is 5040 and 7! which is contained in the other two factorials. This satisfies the condition, h... | college_mathematics | mathematics |
NLP4Education_419 | NLP4Education | The Moore law
A. Implies the key size is doubled every 18 months to preserve confidentiality
B. Says that CPU speed doubles every 18 months
C. Has no relevance for cryptography since it only considers speed of computation
D. States that anything that can go wrong will | B. Says that CPU speed doubles every 18 months | computer_security | computer_science | ||
NLP4Education_741 | NLP4Education | You are given an i.i.d source with symbols taking value in the alphabet $\mathcal{A}=\{a,b,c,d\}$ and probabilities $\{1/8,1/8,1/4,1/2\}$. Consider making blocks of length $n$ and constructing a Huffman code that assigns a binary codeword to each block of $n$ symbols. Choose the correct statement regarding the average ... | A. The average codeword length per symbol is the same for all $n$. | college_computer_science | computer_science | ||
aquarat_94515 | deepmind/aqua_rat | How many real solutions does the equation x5 + 2x3 + 8x2 + 16 = 0 have? | A. 0 B. 1 C. 2 D. 3 E. 5 | B. 1 | Note that x5+2x3+8x2+16 = (x3+8)(x2+2) = (x+2)(x2-2x+4)(x2+2).
Since the quadratic equations x2 - 2x + 4 = 0 and x2 + 2 = 0 have no real solutions, the
original equation has just one real solution, x = -2.
correct answer B | college_mathematics | mathematics |
NLP4Education_60 | NLP4Education | Consider our standard least-squares problem
$$
\operatorname{argmin}_{\mathbf{w}} \mathcal{L}(\mathbf{w})=\operatorname{argmin}_{\mathbf{w}} \frac{1}{2} \sum_{n=1}^{N}\left(y_{n}-\mathbf{x}_{n}^{\top} \mathbf{w}\right)^{2}+\frac{\lambda}{2} \sum_{d=1}^{D} w_{d}^{2}
$$
Here, $\left\{\left(\mathbf{x}_{n} y_{n}\right)\rig... | B. $\operatorname{argmin}_{\mathbf{w}} \frac{1}{2}\|\mathbf{y}-\mathbf{X} \mathbf{w}\|^{2}+\frac{\lambda}{2}\|\mathbf{w}\|^{2}$ | machine_learning | computer_science | ||
allenai/sciq_1420 | allenai/sciq | What move the body by contracting against the skeleton?
A. muscles
B. tissues
C. nerves
D. hormones | A. muscles | Muscles move the body by contracting against the skeleton. | high_school_biology | biology | |
aquarat_33815 | deepmind/aqua_rat | A total of m different points are selected on a particular line, and a total of n different points are selected on another line parallel to the first, where each of m and n is greater than 1. In how many different ways can a triangle be made with its vertices at three of the selected points? | A. m^2n+mn^2 B. mn(m+n-2) C. mn(m+n−2)/2 D. (m+n)(m+n−1)(m+n−2)/6 E. (m+n)!/m!n! | B. mn(m+n-2) | ase 1: One point on particular line and other 2 points on parallel line. #ways=
m* nc2
Case 2: one point on parallel line and other 2 on particular line.
n* mc2
Total
m* nc2+ n* mc2
mn(m+n-2)
ANS:B | college_mathematics | mathematics |
aquarat_69148 | deepmind/aqua_rat | A sequence of numbers a1a1, a2a2, a3a3,…. is defined as follows: a1=3a1=3, a_2 = 5, and every term in the sequence after a2a2 is the product of all terms in the sequence preceding it, e.g, a3=(a1)(a2)a3=(a1)(a2) and a4=(a1)(a2)(a3)a4=(a1)(a2)(a3). If an=tan=t and n>2n>2, what is the value of an+2an+2 in terms of t? | A. 4t B. t^2 C. t^3 D. t^4 E. t^8 | D. t^4 | An = (A1)(A2)......(An-1) = t
An+1 = t * An = t^2
An+2 = t * An * An+1 = t * t * t^2 = t^4
Answer: D | college_mathematics | mathematics |
allenai/sciq_3796 | allenai/sciq | The point in the titration at which an indicator changes color is called what?
A. chromatic point
B. zeta point
C. end point
D. tipping point | C. end point | Acid–Base Titrations Because most common acids and bases are not intensely colored, a small amount of an acid– base indicator is usually added to detect the equivalence point in an acid–base titration. The point in the titration at which an indicator changes color is called theendpoint. The procedure is illustrated in ... | high_school_chemistry | chemistry | |
allenai/sciq_2573 | allenai/sciq | Glasses are mixtures of oxides, the main component of which is silica (sio2). silica is called the glass former, while additives are referred to as this?
A. glass modifiers
B. natural modifiers
C. glass actors
D. addition modifiers | A. glass modifiers | ♦ Glasses are mixtures of oxides, the main component of which is silica (SiO2). Silica is called the glass former, while additives are referred to as glass modifiers. The crystalline lattice of the glass former breaks down during heating, producing the random atomic arrangements typical of a liquid. Adding a modifier a... | high_school_chemistry | chemistry | |
mmlu_aux_train_50783 | mmlu_aux_train | Tech-Camp No.6 Devon Road, Kowloon Tong, Hong Kong a technology day camp for students 12-17 About Tech-Camp Tech-Camp is a day camp with a focus on computers and electronics technology. We offer 2-week summer programmes for students of 12 to 17 years of age. We have a computer lab with the latest and fastest equipment,... | D. The deadline for application. | high_school_computer_science | computer_science | ||
pythonio_706 | pythonio-mc | Program:
def cube_Sum(n):
sum = 0
for i in range(0,n) :
sum += (2*i+1)*(2*i+1)*(2*i+1)
return sum
Input:
cube_Sum(4)
Output: | A | code | computer_science | ||
allenai/sciq_7230 | allenai/sciq | What is the continental margin made of?
A. continental crust
B. pangea
C. boundary crust
D. continental drift | A. continental crust | continental margin : The transition from the land to the deep sea. The continental margin is made of continental crust. More than one-quarter of the ocean basin is continental margin. | college_geology | earth_science | |
allenai/sciq_1081 | allenai/sciq | In what system can energy change forms but the total amount of energy stay constant?
A. primary
B. closed
C. open
D. heterogeneous | B. closed | In a closed system, energy may change forms but the total amount of energy is constant. | conceptual_physics | physics | |
aquarat_37035 | deepmind/aqua_rat | In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it? | A. 1 : 2 B. 2 : 1 C. 1 : 3 D. 3 : 1 E. 2 : 3 | A. 1 : 2 | Explanatory Answer
Let there be 1 litre of the solution after mixing 20% methyl alcohol and 50% methyl alcohol..
If the concentration of methyl alcohol in it is 40%, then 0.4 litres of the resultant mixture is methyl alcohol.
Let x litres of the solution containing 20% methyl alcohol be mixed with (1 - x) litres of the... | high_school_chemistry | chemistry |
math_326 | math_mc | The quadratic $-6x^2+36x+216$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$? | A | math_Algebra | mathematics | ||
allenai/sciq_10679 | allenai/sciq | If two chlorine atoms share their unpaired electrons by making a covalent bond and forming cl2, they can each complete their what?
A. valence shell
B. radiative shell
C. electron shell
D. hypothesized shell | A. valence shell | Using Lewis Dot Symbols to Describe Covalent Bonding The valence electron configurations of the constituent atoms of a covalent compound are important factors in determining its structure, stoichiometry, and properties. For example, chlorine, with seven valence electrons, is one electron short of an octet. If two chlor... | high_school_chemistry | chemistry | |
mmlu_aux_train_94913 | mmlu_aux_train | A car is driving on a highway trying to get up the the speed limit. However, there are strong winds hitting the windshield of the car. Even though the driver is trying to speed up, the high winds
A. flip the car over
B. help the car go faster
C. conflict with the driver's goal
D. move the car sideways | C. conflict with the driver's goal | conceptual_physics | physics | ||
mmlu_aux_train_7594 | mmlu_aux_train | In the Caucasus region of Russia, nearly 50 out of every 100,000 people live to celebrate their 100th birthday, and many don't stop at 100! By comparison, in America only 3 people in 100,000 reach 100. But these Russian old people aren't alone. The Pakistanis, who live high in the Himalaya Mountains, and the Ecuadorans... | C. benefit from physical work | high_school_biology | biology | ||
mmlu_aux_train_97608 | mmlu_aux_train | To get a lab experiment right you need to
A. use all dirty equipment
B. fully comprehend the instructions before starting
C. do the opposite of what you're supposed to do
D. instead of measuring things, make guesses | B. fully comprehend the instructions before starting | high_school_chemistry | chemistry | ||
pythonio_580 | pythonio-mc | Program:
def pair_wise(l1):
temp = []
for i in range(len(l1) - 1):
current_element, next_element = l1[i], l1[i + 1]
x = (current_element, next_element)
temp.append(x)
return temp
Input:
pair_wise([1,5,7,9,10])
Output: | A | code | computer_science | ||
allenai/sciq_10498 | allenai/sciq | Kinetic energy of moving particles of matter, measured by their temperatures are known as:
A. thermal energy
B. solar energy
C. atmospheric energy
D. visible energy | A. thermal energy | Heat is the transfer of thermal energy between substances. Thermal energy is the kinetic energy of moving particles of matter, measured by their temperature. Thermal energy always moves from matter with greater thermal energy to matter with less thermal energy, so it moves from warmer to cooler substances. You can see ... | conceptual_physics | physics | |
math_193 | math_mc | Find the domain of the function $\frac{x^4-4x^3+6x^2-4x+1}{x^2-4}$. | C | math_Algebra | mathematics | ||
allenai/sciq_10780 | allenai/sciq | A _______ of biology is a fundamental concept that is just as true for a bee or a sunflower as it is for us.
A. hypothesis
B. theory
C. notion
D. principle | D. principle | The word principle can be defined as "a fundamental truth or proposition that serves as the foundation for a system of belief or behavior or for a chain of reasoning. " A principle of biology is a fundamental concept that is just as true for a bee or a sunflower as it is for us. All life, including that sunflower and b... | high_school_biology | biology | |
mmlu_aux_train_95798 | mmlu_aux_train | Water evaporates less
A. on a hot street
B. in a basement
C. on a sunny day
D. next to a window | B. in a basement | high_school_physics | physics | ||
math_2098 | math_mc | $ABCDE$ is inscribed in a circle with $AB = BC = CD = DE = 4$ and $AE = 1.$ Compute $(1 - \cos \angle B)(1 - \cos \angle ACE).$ | D | math_Precalculus | mathematics | ||
allenai/sciq_11068 | allenai/sciq | What did volcanic gases help to form on earth?
A. water
B. atmosphere
C. plants
D. rocks | B. atmosphere | When Earth first formed, it was a fiery hot, barren ball. It had no oceans or atmosphere. Rivers of melted rock flowed over its surface. Gradually, the planet cooled and formed a solid crust. Gases from volcanoes formed an atmosphere, although it contained only a trace of oxygen. As the planet continued to cool, clouds... | college_earth_science | earth_science | |
aquarat_8816 | deepmind/aqua_rat | A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If18 were to be added to each score, which of these three statistics would change? | A. The mean only B. The median only C. The mean and the median D. The standard deviation only E. The mean and the standard deviation | C. The mean and the median | The correct answer is C. | high_school_statistics | mathematics |
aquarat_73391 | deepmind/aqua_rat | A says " the horse is not black".
B says " the horse is either brown or grey."
c says " the horse is brown"
At least one is telling truth and atleast one is lying. Tell the colour of horse? | A. Black B. grey C. Brown D. White E. blue | B. grey | The color of the horse can be any color other than Black and Brown.
If the color of the horse is Black - all are lying. If the color of the horse is Brown - all are telling truth. Thus, the horse is neither Black nor Brown. If the color of the horse is Grey - A and B are telling truth whereas C is lying. If the color o... | formal_logic | mathematics |
mmlu_aux_train_93940 | mmlu_aux_train | The primary function of a doorbell circuit is to convert electrical energy into
A. sound.
B. motion.
C. radiant energy.
D. chemical energy. | A. sound. | electrical_engineering | engineering | ||
math_866 | math_mc | Equilateral triangle $T$ is inscribed in circle $A$, which has radius $10$. Circle $B$ with radius $3$ is internally tangent to circle $A$ at one vertex of $T$. Circles $C$ and $D$, both with radius $2$, are internally tangent to circle $A$ at the other two vertices of $T$. Circles $B$, $C$, and $D$ are all externally ... | B | math_Geometry | mathematics | ||
math_172 | math_mc | What is the value of $\sqrt{15 - 6\sqrt{6}} + \sqrt{15 + 6\sqrt{6}}$? | D | math_Algebra | mathematics | ||
math_781 | math_mc | The measures of the interior angles of a convex hexagon form an increasing arithmetic sequence. How many such sequences are possible if the hexagon is not equiangular and all of the angle degree measures are positive integers less than $150$ degrees? | A | math_Geometry | mathematics | ||
allenai/sciq_5103 | allenai/sciq | Plants and algae maintain the atmosphere. during photosynthesis, they add oxygen and remove what?
A. methane
B. water
C. carbon dioxide
D. nitrogen | C. carbon dioxide | Plants and algae maintain the atmosphere. During photosynthesis, they add oxygen and remove carbon dioxide. | high_school_biology | biology | |
allenai/sciq_11656 | allenai/sciq | The maintenance of constant conditions in the body is also known as what?
A. homeostasis
B. consciousness
C. mononucleosis
D. hypothesis | A. homeostasis | Homeostasis, or the maintenance of constant conditions in the body, is a fundamental property of all living things. In the human body, the substances that participate in chemical reactions must remain within narrows ranges of concentration. Too much or too little of a single substance can disrupt your bodily functions.... | high_school_biology | biology | |
math_779 | math_mc | Equilateral $\triangle ABC$ has side length $600$. Points $P$ and $Q$ lie outside the plane of $\triangle ABC$ and are on opposite sides of the plane. Furthermore, $PA=PB=PC$, and $QA=QB=QC$, and the planes of $\triangle PAB$ and $\triangle QAB$ form a $120^{\circ}$ dihedral angle (the angle between the two planes). Th... | A | math_Geometry | mathematics | ||
mmlu_aux_train_64570 | mmlu_aux_train | The biggest danger facing airlines nowadays may not be a terrorist with a gun, but the man with portable computer in business class. In the last 16 years, pilots have reported well over 100 incidents that could have been caused by electromagnetic interference . The source of this interference remains not proved, but i... | D. They were suspected to have resulted from electromagnetic interference. | electrical_engineering | engineering | ||
mmlu_aux_train_96372 | mmlu_aux_train | A shuttle quest to Earth's light source would take lots of
A. muscle and time
B. navigation and speed
C. speed and light
D. fuel and time | D. fuel and time | conceptual_physics | physics | ||
NLP4Education_306 | NLP4Education | How does the bias-variance decomposition of a ridge regression estimator compare with that of the ordinary least-squares estimator in general?
A. Ridge has a larger bias, and larger variance.
B. Ridge has a larger bias, and smaller variance.
C. Ridge has a smaller bias, and larger variance.
D. Ridge has a smaller bias,... | B. Ridge has a larger bias, and smaller variance. | machine_learning | computer_science | ||
pythonio_290 | pythonio-mc | Program:
def swap_List(newList):
size = len(newList)
temp = newList[0]
newList[0] = newList[size - 1]
newList[size - 1] = temp
return newList
Input:
swap_List([1,2,3,4,4])
Output: | A | code | computer_science | ||
pythonio_487 | pythonio-mc | Program:
from operator import eq
def count_same_pair(nums1, nums2):
result = sum(map(eq, nums1, nums2))
return result
Input:
count_same_pair([2, 4, -6, -9, 11, -12, 14, -5, 17],[2, 1, 2, -1, -5, 6, 4, -3, -2, 3, 4, 6, 8])
Output: | B | code | computer_science | ||
pythonio_316 | pythonio-mc | Program:
import math
def wind_chill(v,t):
windchill = 13.12 + 0.6215*t - 11.37*math.pow(v, 0.16) + 0.3965*t*math.pow(v, 0.16)
return int(round(windchill, 0))
Input:
wind_chill(10,100)
Output: | B | code | computer_science | ||
NLP4Education_274 | NLP4Education | Regarding the Expectation-Maximization algorithm, which one of the following is false?
A. Assigning equal weights to workers initially decreases the convergence time
B. The label with the highest probability is assigned as the new label
C. It distinguishes experts from normal workers
D. In the E step the labels change,... | A. Assigning equal weights to workers initially decreases the convergence time | machine_learning | computer_science | ||
pythonio_587 | pythonio-mc | Program:
def Diff(li1,li2):
return (list(list(set(li1)-set(li2)) + list(set(li2)-set(li1))))
Input:
(Diff([1,2,3], [6,7,1]))
Output: | C | code | computer_science | ||
aquarat_4026 | deepmind/aqua_rat | I. x + 2y + 3z = 2
II. x + y - z = 0
III. 2x + 2y - z = 1
What is the value of y in the system above? | A. -2 B. -1 C. 0 D. 1 E. 2 | A. -2 | 1. from the given system of equations i can make equation II. to be x + y = z
2. now put that in III. :
2x + 2y - (x + y) = 1
= 2x + 2y - x - y = 1
= x + y = 1
that gives usz = 1!
3. put z = 1 in I. and solve:
x + 2y + 3 = 2; calculate minus 3
= x + 2y = -1; calculate minus x
=2y = -1 - x;
4. now put 2y = -1 - x in III... | college_mathematics | mathematics |
allenai/sciq_6833 | allenai/sciq | If a gas in a closed area experiences increases in pressure and decreases in temperatures, what other attribute of the gas will be affected?
A. volume
B. temperature
C. velocity
D. gravity | A. volume | Both the increase in pressure and the decrease in temperature cause the volume of the gas sample to decrease. Since both changes are relatively small, the volume does not decrease dramatically. | high_school_physics | physics | |
allenai/sciq_3147 | allenai/sciq | The difference between aldehydes and ketones is the placement of what group within the molecule?
A. carbonyl
B. ammonia
C. nucleus
D. benadryl | A. carbonyl | The difference between aldehydes and ketones is the placement of the carbonyl group within the molecule. An aldehyde is an organic compound in which the carbonyl group is attached to a carbon atom at the end of a carbon chain. A ketone is an organic compound in which the carbonyl group is attached to a carbon atom with... | high_school_chemistry | chemistry | |
mmlu_aux_train_81242 | mmlu_aux_train | Prana was a beautiful dog, whose name means "breath of life". Although he died several years ago, I can still remember the days we spent together and what he has taught me about love. I have two apple trees in the garden. Prana loved apples. When he went outside, he'd catch an apple and take it into the house to eat la... | D. Prana brought the dirty apples into the house | high_school_biology | biology | ||
pythonio_750 | pythonio-mc | Program:
def count_list(input_list):
return (len(input_list))**2
Input:
count_list([[0], [1, 3], [5, 7], [9, 11], [13, 15, 17]])
Output: | A | code | computer_science | ||
math_1518 | math_mc | How many positive integers $n$ satisfy\[\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor?\](Recall that $\lfloor x\rfloor$ is the greatest integer not exceeding $x$.)
$\textbf{(A) } 2 \qquad\textbf{(B) } 4 \qquad\textbf{(C) } 6 \qquad\textbf{(D) } 30 \qquad\textbf{(E) } 32$
| C | math_Number Theory | mathematics | ||
aquarat_27778 | deepmind/aqua_rat | The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received? | A. 30 B. 31 C. 45 D. 40 E. 89 | D. 40 | 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.
1SD from the mean ranges from 65 to 55, where 65 is within SD above the mean and 55 within 1SD below the mean
2SD=5 TWICE=10 from the the mean, which is 70 to 40, wher... | high_school_statistics | mathematics |
allenai/sciq_6958 | allenai/sciq | What process typically occurs to metal exposed to outside elements?
A. explosion
B. shrinkage
C. corrosion
D. extraction | C. corrosion | Metal exposed to the outside elements will usually corrode if not protected. The corrosion process is a series of redox reactions involving the metal of the sculpture. In some situations, the metals are deliberately left unprotected so that the surface will undergo changes that may enhance the esthetic value of the wor... | high_school_chemistry | chemistry | |
allenai/sciq_8749 | allenai/sciq | Most geological activity takes place where?
A. ocean floor
B. at plate boundaries
C. high altitudes
D. center of plates | B. at plate boundaries | Most geological activity takes place at plate boundaries. But some activity does not. Much of this intraplate activity is found at hot spots. Hotspot volcanoes form as plumes of hot magma rise from deep in the mantle. | earth_science | earth_science |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.