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 |
|---|---|---|---|---|---|---|---|
mmlu_aux_train_38860 | mmlu_aux_train | Penguins live together,but each pair has a little piece of ground of their own.When a penguin wants to walk through its neighbor's ground,it must ask permission.If it does not do that,it will have to fight.Most of the time,penguins live on the water.They eat shell fish and look after their children carefully. All pengu... | B. just by hearing in the darkness | high_school_biology | biology | ||
mmlu_aux_train_94048 | mmlu_aux_train | Strontium, barium, and radium are grouped together on the Periodic Table of the Elements because they all have
A. a bright silver and white coloring.
B. similar electron configurations.
C. strong radioactive properties.
D. few or no stable isotopes. | B. similar electron configurations. | high_school_chemistry | chemistry | ||
pythonio_414 | pythonio-mc | Program:
def sum_Of_Primes(n):
prime = [True] * (n + 1)
p = 2
while p * p <= n:
if prime[p] == True:
i = p * 2
while i <= n:
prime[i] = False
i += p
p += 1
sum = 0
for i in range (2,n + 1):
if(pr... | B | code | computer_science | ||
allenai/sciq_4264 | allenai/sciq | Three ways that waves may interact with matter are reflection, refraction, and what?
A. absorption
B. diffraction
C. dispose
D. distortion | B. diffraction | Three ways that waves may interact with matter are reflection, refraction, and diffraction. | conceptual_physics | physics | |
aquarat_58632 | deepmind/aqua_rat | If p(x)=ax^4+bx^3+cx^2+dx+e has roots at x=1,2,3,4 and p(0)=48, what is p(5) | A. 48 B. 24 C. 0 D. 50 E. 40 | A. 48 | p(x)=ax^4+bx^3+cx^2+dx+e
it can be written as
p(x)=a*(x-1)*(x-2)*(x-3)*(x-4) ----(1)
put x=0 in(1), we get
p(0)=a*(-1)(-2)(-3)(-4)
=> 48=a*24
=> a=2
so, p(x)=2*(x-1)*(x-2)*(x-3)*(x-4)
=> p(5)=2*(5-1)*(5-2)*(5-3)*(5-4)=2*4*3*2*1=48
p(5) = 48
ANSWER:A | college_mathematics | mathematics |
math_655 | math_mc | The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}=16$ is a perfect power, while $2\times3... | A | math_Counting & Probability | mathematics | ||
math_435 | math_mc | A mathematical organization is producing a set of commemorative license plates. Each plate contains a sequence of five characters chosen from the four letters in AIME and the four digits in 2007. No character may appear in a sequence more times than it appears among the four letters in AIME or the four digits in 2007. ... | C | math_Counting & Probability | mathematics | ||
allenai/sciq_3506 | allenai/sciq | What is the force of attraction between a positive metal ion and valence electrons?
A. liquid bond
B. galactic bond
C. covalent bond
D. metallic bond | D. metallic bond | A metallic bond is the force of attraction between a positive metal ion and the valence electrons that surround itβboth its own valence electrons and those of other ions of the same metal. The ions and electrons form a lattice-like structure. Only metals, such as the copper pictured in the Figure below , form metallic ... | college_chemistry | chemistry | |
pythonio_349 | pythonio-mc | Program:
def rectangle_perimeter(l,b):
perimeter=2*(l+b)
return perimeter
Input:
rectangle_perimeter(10,20)
Output: | B | code | computer_science | ||
NLP4Education_151 | NLP4Education | Given graph 1β2, 1β3, 2β3, 3β2, switching from Page Rank to Teleporting PageRank will have an influence on the value(s) of:
A. All the nodes
B. Node 1 only
C. Node 2 and Node 3 only
D. No nodes. The values will stay unchanged. | A. All the nodes | college_computer_science | computer_science | ||
NLP4Education_540 | NLP4Education | What is the time complexity to perform a left-to-right multiplication of two $\ell$-bit integers?
A. $\sqrt{\ell}$
B. $\ell$
C. $\ell^2$
D. $\ell^3$ | C. $\ell^2$ | college_computer_science | computer_science | ||
mmlu_aux_train_32240 | mmlu_aux_train | A window is more than just an opening that you can see through. It can affect the way a building looks,how much energy a building USES and even how you feel. Scientists are now working on ncw technologies to create"smart windows". Unlike normal windows,high-tech smart windows can change from clear to dark and back ... | B. They can change automatically or by pressing a button. | conceptual_physics | physics | ||
allenai/sciq_3148 | allenai/sciq | A plane mirror has a flat reflective surface and forms only which kind of images?
A. spherical
B. virtual
C. enlarged
D. reduced | B. virtual | Most mirrors are plane mirrors. A plane mirror has a flat reflective surface and forms only virtual images. The image formed by a plane mirror is also life sized. But something is different about the image compared with the real object in front of the mirror. Left and right are reversed. Look at the man shaving in Figu... | conceptual_physics | physics | |
mmlu_aux_train_2343 | mmlu_aux_train | During which phase of the Moon could a solar eclipse take place?
A. full
B. new
C. quarter
D. crescent | B. new | astronomy | physics | ||
math_2055 | math_mc | What is the number of degrees in the acute angle formed by the hands of a clock at 6:44? | A | math_Prealgebra | mathematics | ||
allenai/sciq_1173 | allenai/sciq | What is the opposite of nuclear fusion?
A. might fission
B. nuclear fission
C. Solar Power
D. energy fission | B. nuclear fission | Nuclear fusion is the opposite of nuclear fission. In fusion, two or more small nuclei combine to form a single, larger nucleus. An example is shown in Figure below . In this example, two hydrogen nuclei fuse to form a helium nucleus. A neutron and a great deal of energy are also released. In fact, fusion releases even... | high_school_physics | physics | |
math_1406 | math_mc | Find the remainder when $x^{2015} + 1$ is divided by $x^8 - x^6 + x^4 - x^2 + 1.$ | B | math_Intermediate Algebra | mathematics | ||
math_2121 | math_mc | A ray of light passing through the point $A = (-3,9,11),$ reflects off the plane $x + y + z = 12$ at $B,$ and then passes through the point $C = (3,5,9).$ Find the point $B.$
[asy]
import three;
size(180);
currentprojection = perspective(6,3,2);
triple A, B, C;
A = (0,-0.5,0.5*1.5);
B = (0,0,0);
C = (0,0.8,0.8*1.5... | A | math_Precalculus | mathematics | ||
allenai/sciq_6942 | allenai/sciq | Name the term used to described prokaryotes that require oxygen.
A. aerobic
B. anaerobic
C. mouth breathers
D. hydrophylic | A. aerobic | Prokaryotes that need oxygen are described as aerobic. They use oxygen for cellular respiration. Examples include the prokaryotes that live on your skin. | high_school_biology | biology | |
math_1290 | math_mc | The function $f$ takes nonnegative integers to real numbers, such that $f(1) = 1,$ and
\[f(m + n) + f(m - n) = \frac{f(2m) + f(2n)}{2}\]for all nonnnegative integers $m \ge n.$ Find the sum of all possible values of $f(10).$ | A | math_Intermediate Algebra | mathematics | ||
aquarat_11035 | deepmind/aqua_rat | The value of ((x β y)Β³ + (y - z)Β³ + (z β x)Β³)/(15 (x β y) (y β z) (z β x))
is equal to : | A. 0 B. 1/12 C. 1 D. 1/5 E. 1/3 | D. 1/5 | Since (x β y) + (y β z) + (z β x) = 0,
so (x β y)Β³ + (y β z)Β³ + (z β x)Β³= 3 (x β y) (y β z) (z β x).
(3 (x β y) (y β z) (z β x))/(15(x β y) (y β z) (z β x)) = 1/5.
ANSWER:D | college_mathematics | mathematics |
NLP4Education_214 | NLP4Education | Let \( f(x, y) \) be a general function. Mark statements that are always correct.
A. \( \max_{y'} \min_{x'} f(x', y') \leq \min_{x'} \max_{y'} f(x', y') \)
B. \( \min_{x'} f(x', y) \leq \min_{y'} f(x, y'),\ \forall x, y \)
C. \( \max_{x'} f(x', y) \leq \max_{y'} f(x, y'),\ \forall x, y \)
D. \( \min_{y'} \max_{x'} f(x'... | A. \( \max_{y'} \min_{x'} f(x', y') \leq \min_{x'} \max_{y'} f(x', y') \) | college_mathematics | mathematics | ||
mmlu_aux_train_99532 | mmlu_aux_train | If a thing is going between liquid and solid, it is likely to
A. visit a school
B. be a door
C. become less heavy
D. measure consistently | D. measure consistently | high_school_physics | physics | ||
allenai/sciq_10389 | allenai/sciq | What term means the tendency of a mineral to break along certain planes?
A. fault
B. fracture
C. cleavage
D. cavity | C. cleavage | Cleavage is the tendency of a mineral to break along certain planes. When a mineral breaks along a plane it makes a smooth surface. Minerals with different crystal structures will break or cleave in different ways, as in Figure below . Halite tends to form cubes with smooth surfaces. Mica tends to form sheets. Fluorite... | college_geology | earth_science | |
allenai/sciq_779 | allenai/sciq | What are the three types of isomers?
A. structural, cis-trans, Polystyrene
B. structural, cis-trans, enatiomers
C. structural, Polypropylene , enatiomers
D. structural , chromosome - trans , enatiomers | B. structural, cis-trans, enatiomers | college_chemistry | chemistry | ||
math_2076 | math_mc | Find the point in the $xz$-plane that is equidistant from the points $(1,-1,0),$ $(2,1,2),$ and $(3,2,-1).$ | A | math_Precalculus | mathematics | ||
NLP4Education_496 | NLP4Education | Tick the \emph{incorrect} assertion. In \emph{all} finite Abelian groups $(G,+)$ \ldots
A. the order of every element divides the order of the group.
B. all elements are generators.
C. the operation $+$ is commutative.
D. the neutral element has order $1$. | B. all elements are generators. | abstract_algebra | mathematics | ||
allenai/sciq_2806 | allenai/sciq | What is the comparison of two factors within a population?
A. correlation
B. curve
C. hypothesis
D. variable | A. correlation | Correlation is a comparison of two factors within a population. Correlation does not imply causation. | high_school_statistics | mathematics | |
mmlu_aux_train_92646 | mmlu_aux_train | When a switch is used in an electrical circuit, the switch can
A. cause the charge to build.
B. increase and decrease the voltage.
C. cause the current to change direction.
D. stop and start the flow of current. | D. stop and start the flow of current. | electrical_engineering | engineering | ||
pythonio_777 | pythonio-mc | Program:
def sum_positivenum(nums):
sum_positivenum = list(filter(lambda nums:nums>0,nums))
return sum(sum_positivenum)
Input:
sum_positivenum([2, 4, -6, -9, 11, -12, 14, -5, 17])
Output: | D | code | computer_science | ||
math_747 | math_mc | In convex quadrilateral $KLMN$ side $\overline{MN}$ is perpendicular to diagonal $\overline{KM}$, side $\overline{KL}$ is perpendicular to diagonal $\overline{LN}$, $MN = 65$, and $KL = 28$. The line through $L$ perpendicular to side $\overline{KN}$ intersects diagonal $\overline{KM}$ at $O$ with $KO = 8$. Find $MO$.
| C | math_Geometry | mathematics | ||
mmlu_aux_train_32806 | mmlu_aux_train | China in the 21st century is making great progress in space technology. In 2003, the country sent up the manned spacecraft Shenzhou-V. Four years later, Chang'e-I went into orbit around the moon. In 2008 a Chinese man did the country's first spacewalk. These achievements would have been unthinkable without the contri... | D. It is a brief introduction to Qian, a famous Chinese scientist. | astronomy | physics | ||
NLP4Education_509 | NLP4Education | Which of the following is a mode of operation for blockciphers that requires a non-repeating IV (a nonce) to be secure?
A. ECB
B. CBC
C. TCS
D. CTR | D. CTR | computer_security | computer_science | ||
mmlu_aux_train_80082 | mmlu_aux_train | What do people do with their old, out-of-date but still useful computers? Most people don't know what to do with them. Many old computers are put away in homes. Many more are simply thrown out with the rubbish. Finally, some companies are thinking of ways to bring down the number of old computers. Sony has agreed to he... | D. They stop using them. | high_school_computer_science | computer_science | ||
math_493 | math_mc | Each of the nine dots in this figure is to be colored red, white or blue. No two dots connected by a segment (with no other dots between) may be the same color. How many ways are there to color the dots of this figure?
[asy]
draw((-75,0)--(-45,0)--(-60,26)--cycle);
draw((0,0)--(30,0)--(15,26)--cycle);
draw((75,0)--(10... | C | math_Counting & Probability | mathematics | ||
allenai/sciq_9206 | allenai/sciq | How do you decrease errors in an experiment?
A. take many measurements
B. decrease measurements
C. ask God
D. write about it | A. take many measurements | Scientists make many measurements during experiments. Humans and equipment can make mistakes. Errors are often unavoidable. This is called experimental error . Errors may be due to the equipment being used. In this case, the numbers may be always skewed in one direction. For example, a scale may always measure one-half... | conceptual_physics | physics | |
aquarat_2585 | deepmind/aqua_rat | A certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates ... | A. 42 B. 70 C. 175 D. 165 E. 315 | C. 175 | 5C1*7C4 = 5*35 = 175
the answer is (C) | college_mathematics | mathematics |
NLP4Education_251 | NLP4Education | If the first column of matrix L is (0,1,1,1) and all other entries are 0 then the authority values
A. (0, 1, 1, 1)
B. (0, 1/sqrt(3), 1/sqrt(3), 1/sqrt(3))
C. (1, 1/sqrt(3), 1/sqrt(3), 1/sqrt(3))
D. (1, 0, 0, 0) | B. (0, 1/sqrt(3), 1/sqrt(3), 1/sqrt(3)) | college_mathematics | mathematics | ||
math_362 | math_mc | Simplify $$\sqrt{6+4\sqrt2}+\sqrt{6-4\sqrt2}.$$ | D | math_Algebra | mathematics | ||
math_2163 | math_mc | Find the number of $x$-intercepts on the graph of $y = \sin \frac{1}{x}$ (evaluated in terms of radians) in the interval $(0.0001, 0.001).$ | A | math_Precalculus | mathematics | ||
aquarat_6592 | deepmind/aqua_rat | How many different sets of positive square integers P, each greater than 1, add up to 75? | A. 1 B. 4 C. 7 D. 11 E. 13 | E. 13 | E= 13 is the correct answer. | college_mathematics | mathematics |
NLP4Education_790 | NLP4Education | Let $$G= \begin{pmatrix} 1 &1 &1 &0 &1 &0\\ 0 &1 &1 &1 &0 &0\\ 0 &1 &1 &0 &0 &0\\ 0 &1 &1 &1 &0 &1 \end{pmatrix}$$ be the generator matrix of a $(6,4)$ linear code $\mathcal C$ over $\mathbb F_2$. True or false: $G$ admits a systematic form (i.e., it can be put into systematic form via elementary row operations).
A. T... | B. False; $G$ cannot be put into systematic form via elementary row operations. | college_mathematics | mathematics | ||
aquarat_66166 | deepmind/aqua_rat | If b + xy = b and x is not equal to 0, which of the following must be true? | A. y=b B. y=0 C. x=y D. x<y E. x+y=0 | B. y=0 | b + xy = b --> xy=0. Since x is not equal to 0, thus y = 0.
Answer:
B | abstract_algebra | mathematics |
NLP4Education_600 | NLP4Education | The number of plaintext/ciphertext pairs required for a linear cryptanalysis isβ¦
A. ββ―ππ
B. ββ―1βππ
C. ββ―1βππΒ²
D. ββ―logβ―(1βππ) | B. ββ―1βππ | computer_security | computer_science | ||
math_1209 | math_mc | An arithmetic sequence consists of $ 200$ numbers that are each at least $ 10$ and at most $ 100$. The sum of the numbers is $ 10{,}000$. Let $ L$ be the least possible value of the $ 50$th term and let $ G$ be the greatest possible value of the $ 50$th term. What is the value of $ G - L$? | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_85602 | mmlu_aux_train | There are many kinds of ants in America.One kind of ants is very strong.People are afraid of them and the other animals are afraid of them,too. These ants are often in big groups .They eat all the animals on their way.They can kill and eat elephants.And they can eat horses,too.Sometimes they can even kill people and ea... | B. strong | high_school_biology | biology | ||
math_1373 | math_mc | The parabola $y = x^2+2$ and the hyperbola $y^2 - mx^2 = 1$ are tangent. Find $m.$ | D | math_Intermediate Algebra | mathematics | ||
aquarat_79618 | deepmind/aqua_rat | If |u+v|=|u-v|, then u*v must be equal to: | A. 2 B. 0 C. -3 D. 3 E. -2 | B. 0 | Solution 1: Distance perspective
|u-v| = |u+s| ==> The distance of u and v is equal to the distance of u and -v.
<=======(-v)=======0=======(v)======>
Only 0 is the value that has a distance equal to v and -v.
Solution 2:
|u-v| = |u+v| (square both)
u^2 -2uv + v^2 = u^2 + 2uv + v^2
4uv = 0
uv = 0
Answer: B | college_mathematics | mathematics |
math_209 | math_mc | Compute the exact value of the expression $\left|\pi - | \pi - 7 | \right|$. Write your answer using only integers and $\pi$, without any absolute value signs. | B | math_Algebra | mathematics | ||
aquarat_61329 | deepmind/aqua_rat | There are five leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ? | A. 7 leopard and 3 sheep B. 4 leopard and 7 sheep C. 6 leopard and 4 sheep D. 4 leopard and 1 sheep E. 2 leopard and 5 sheep | D. 4 leopard and 1 sheep | D
4 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this. | formal_logic | mathematics |
math_1457 | math_mc | Let $a$ and $b$ be positive real numbers. Find the maximum value of
\[2(a - x)(x + \sqrt{x^2 + b^2})\]in terms of $a$ and $b.$ | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_89800 | mmlu_aux_train | Is your schoolbag too heavy to carry? The e-schoolbag will help you. It is said that e-schoolbags are going to be brought into use in Chinese middle schools soon. In fact, the e-schoolbag should perhaps be called an e-textbook. It is a small computer for students. Heavy schoolbags are a problem for them. But the e-scho... | C. much lighter than a usual schoolbag | high_school_computer_science | computer_science | ||
math_510 | math_mc | A soccer team has $22$ available players. A fixed set of $11$ players starts the game, while the other $11$ are available as substitutes. During the game, the coach may make as many as $3$ substitutions, where any one of the $11$ players in the game is replaced by one of the substitutes. No player removed from the game... | A | math_Counting & Probability | mathematics | ||
aquarat_90312 | deepmind/aqua_rat | If x,y ,and z are positive real numbers such that x(y+z) = 62, y(z+x) =82 , and z(x+y) = 100, then xyz is | A. 120 B. 50 C. 60 D. 70 E. 90 | A. 120 | xy+xz = 62 --------------------------------------1)
yz+yx = 82---------------------------------------2)
xz+zy = 100---------------------------------------3)
Re-writing equation 3 as follows:
xz+zy = 82+ 18
xz+zy = yz+yx + 18
xz = yx + 18 ............... (4)
Adding (1)(4)
2xz = 80
xz = 40
xyz has to be multiple of 40, o... | college_mathematics | mathematics |
mmlu_aux_train_59281 | mmlu_aux_train | We Chat, the Chinese social media smartphone app, saw an increase in user numbers of 41 per cent year on year to 500m at the end of 2014, in a sign that parent company Tencent is extending its reach for the mobile internet. Revenue grew 24 per cent to Rmb20.98billion, slightly higher than forecasts, driven mainly by o... | C. Online gaming | computer_security | computer_science | ||
mmlu_aux_train_28485 | mmlu_aux_train | With his standard Mandarin pronunciation, practiced skills on Chinese expressions and special humor with a Peking accent, Dashan has become a household name acrossprefix = st1 /China. People have always wondered how the 36-year-old Canadian can be so skillful in the Chinese language even though it is considered ... | A. his interest, method and study environment | high_school_computer_science | computer_science | ||
aquarat_64399 | deepmind/aqua_rat | If (1*x)y=y, which of the following must be true? | A. x=-1 or y=0 B. x=0 or y=0 C. x=1 or y=1 D. x=-1 or y=-1 E. x=0 or y=1 | C. x=1 or y=1 | We have (1*x)y=y.
If x=1, y=1 True
If y=1, (1*x)*1=1True
So, Cwill be the answer. | abstract_algebra | mathematics |
allenai/sciq_1439 | allenai/sciq | The combined gas law involves three properties of a gas - volume, absolute temperature, and what?
A. power
B. direction
C. pressure
D. time | C. pressure | To this point, we have examined the relationships between any two of the variables of , , and , while the third variable is held constant. However, situations arise where all three variables change. The combined gas law expresses the relationship between the pressure, volume, and absolute temperature of a fixed amount ... | high_school_chemistry | chemistry | |
math_527 | math_mc | How many triangles with positive area have all their vertices at points $(i,j)$ in the coordinate plane, where $i$ and $j$ are integers between $1$ and $5$, inclusive?
$\textbf{(A)}\ 2128 \qquad\textbf{(B)}\ 2148 \qquad\textbf{(C)}\ 2160 \qquad\textbf{(D)}\ 2200 \qquad\textbf{(E)}\ 2300$
| A | math_Counting & Probability | mathematics | ||
allenai/sciq_170 | allenai/sciq | Motors are the most common application of magnetic force on current-carrying wires. motors have loops of wire in this?
A. magnetic field
B. electrical circuit
C. capacitors
D. spark plugs | A. magnetic field | 22.8 Torque on a Current Loop: Motors and Meters Motors are the most common application of magnetic force on current-carrying wires. Motors have loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exerts torque on the loops, which rotates a shaft. Electrical energy is convert... | electrical_engineering | engineering | |
pythonio_252 | pythonio-mc | Program:
def merge(lst):
return [list(ele) for ele in list(zip(*lst))]
Input:
merge([['x', 'y'], ['a', 'b'], ['m', 'n']])
Output: | D | code | computer_science | ||
mmlu_aux_train_84092 | mmlu_aux_train | The famous Chinese mathematician Hua Luogeng was born in Jintan County, Jiangsu province in 1910. When he was young, life was very difficult for his family. Still, the boy took great interest in math. In the summer of 1931, he was fortunate enough to become an assistant in the Math Department of Qinghua University, ... | A. in China | college_mathematics | mathematics | ||
math_282 | math_mc | Let $a_1, a_2, a_3,\dots$ be an increasing arithmetic sequence of integers. If $a_4a_5 = 13$, what is $a_3a_6$? | C | math_Algebra | mathematics | ||
pythonio_404 | pythonio-mc | Program:
def smallest_Divisor(n):
if (n % 2 == 0):
return 2;
i = 3;
while (i*i <= n):
if (n % i == 0):
return i;
i += 2;
return n;
Input:
smallest_Divisor(10)
Output: | C | code | computer_science | ||
aquarat_81285 | deepmind/aqua_rat | A + B = C
D - C = A
E - B = C
Based on the above equations, can you find out the outcome for:
D + F=? | A. 15 B. 14 C. 13 D. 12 E. 10 | E. 10 | In this question, the alphabets represent their equivalent numeric position.
A = 1, B = 2, C = 3 and so on.
Thus,
A + B = c
=> 1 + 2 = 3
D - C = A
=> 4 - 3 = 1
E - B = C
=> 5 - 2 = 3
Which is why,
D + F = 4 + 6 = 10
Since, J is the 10th alphabet,
D + F = J.
correct answer is E)10 | abstract_algebra | mathematics |
allenai/sciq_10194 | allenai/sciq | A catalyst can increase the rate of what, in general?
A. consumption reaction
B. mechanicl reaction
C. carbon reaction
D. chemical reaction | D. chemical reaction | A catalyst is a substance that increases the rate of a chemical reaction. The presence of a catalyst is one of several factors that influence the rate of chemical reactions. (Other factors include the temperature, concentration, and surface area of reactants. ) A catalyst isnβt a reactant in the chemical reaction it sp... | high_school_chemistry | chemistry | |
NLP4Education_602 | NLP4Education | Given a function $f:\left\{ 0,1 \right\}^p \rightarrow \left\{ 0,1 \right\}^q$, given $a\in\left\{ 0,1 \right\}^p$ and $b \in \left\{ 0,1 \right\}^q$, we define $DP^{f}(a,b) = \Pr_{X}[f(X \oplus a) = f(X) \oplus b]$. We have that $\ldots$
A. $DP^f(0,b) = 1$ if and only if $b \not= 0$.
B. $DP^f(a,a) = 1$ for all $a$.
C.... | C. $\sum_{a \in \{0,1\}^p} \sum_{b \in \{0,1\}^q} DP^f(a,b) = 2^p$. | computer_security | computer_science | ||
allenai/sciq_3251 | allenai/sciq | The direct conversion of a solid to a gas, without an intervening liquid phase, is called what?
A. sublimation
B. isolation
C. amplification
D. insertion | A. sublimation | The direct conversion of a solid to a gas, without an intervening liquid phase, is calledsublimation. The amount of energy required to sublime 1 mol of a pure solid is theenthalpy of sublimation (ΞHsub). Common substances that sublime at standard temperature and pressure (STP; 0Β°C, 1 atm) include CO2 (dry ice); iodine ... | high_school_chemistry | chemistry | |
math_678 | math_mc | Ten chairs are arranged in a circle. Find the number of subsets of this set of chairs that contain at least three adjacent chairs.
| B | math_Counting & Probability | mathematics | ||
aquarat_18677 | deepmind/aqua_rat | The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered? | A. 25 B. 50 C. 75 D. 100 E. 125 | D. 100 | let us assume k be the element we need to search
then let array be n1,n2,n3..............n100
now to prove that the element searched is not there in the array we have to compare the element K with every element in the array.
So,totally we need 100 comparisons.
ANSWER:D | computer_security | computer_science |
mmlu_aux_train_92884 | mmlu_aux_train | Decomposers are organisms that eat and break down dead plant and animal material. Which organism is a decomposer?
A. algae
B. moss
C. bacteria
D. fish | C. bacteria | high_school_biology | biology | ||
NLP4Education_371 | NLP4Education | Diffie-Hellman refers to \ldots
A. a signature scheme.
B. a public-key cryptosystem.
C. a key-agreement protocol.
D. the inventors of the RSA cryptosystem. | C. a key-agreement protocol. | computer_security | computer_science | ||
mmlu_aux_train_97101 | mmlu_aux_train | A cup of cold coffee will warm up when heat is applied such as through
A. a metal chair
B. a flat napkin
C. an electrical plate
D. a wood table | C. an electrical plate | conceptual_physics | physics | ||
math_1957 | math_mc | Jar A has exactly four red buttons and eight blue buttons. Carla then removes the same number of red buttons as blue buttons from Jar A and places them in an empty Jar B. Jar A now has $\frac{2}{3}$ of its original number of buttons. If Carla were now to randomly choose a button from Jar A and a button from Jar B, w... | A | math_Prealgebra | mathematics | ||
mmlu_aux_train_54096 | mmlu_aux_train | Except for the sun, the moon looks like the biggest object in the sky. Actually it is one of the smallest, and only looks big because it is so near to us. Its diameter is only 2,160 miles (3,389 km), or a little more than a quarter of the diameter of the earth. Once a month, or more exactly, once every 29.5 day... | B. Because the earth throws back sunlight onto the moon. | astronomy | physics | ||
math_67 | math_mc | A woman labels the squares of a very large chessboard $1$ through $64$. On each square $k$, the woman puts $2^k$ grains of rice. How many more grains of rice are placed on the $10^{th}$ square than on the first $8$ squares combined? | D | math_Algebra | mathematics | ||
aquarat_4879 | deepmind/aqua_rat | A voltage will influence current only if the circuit is: | A. 2 B. 7 C. 6 D. 28 E. 22 | E. 22 | Answer:E | electrical_engineering | engineering |
NLP4Education_241 | NLP4Education | (Robustness) The $l_{1}$ loss is less sensitive to outliers than $l_{2}$.
A. True
B. False
C. Both $l_{1}$ and $l_{2}$ loss are equally sensitive to outliers
D. $l_{2}$ loss is less sensitive to outliers than $l_{1}$ | A. True | machine_learning | computer_science | ||
math_1228 | math_mc | Let $f : \mathbb{R} \to \mathbb{R}$ be a function such that
\[f((x - y)^2) = f(x)^2 - 2xf(y) + y^2\]for all real numbers $x$ and $y.$
Let $n$ be the number of possible values of $f(1),$ and let $s$ be the sum of all possible values of $f(1).$ Find $n \times s.$ | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_50268 | mmlu_aux_train | A serious threat to farmers in many parts of the world is erosion. Erosion occurs if a large area of land is cleared of trees and is then badly treated by the farmers. The rain and winds may gradually wash away, or blow away, much of the topsoil. When this happens, crops of wheat or corn become weaker and weaker until ... | C. affects many parts of the world | high_school_biology | biology | ||
aquarat_18636 | deepmind/aqua_rat | A polling company reports that there is a 20% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the cand... | A. 10 B. 8 C. 6 D. 4 E. 5 | D. 4 | 20% - Candidate Elected
100%-60% = 40% - Candidate doesnotsigh Bill X
50% - Candidate randomly chooses between two bills.
These are multiplicative:
20% x 40% x 50%
0.2 x 0.4 x 0.5 = 0.04 = 4%
Answer (D) | high_school_statistics | mathematics |
mmlu_aux_train_95259 | mmlu_aux_train | When a person gets hurt physically, the person feels pain because there are
A. magic receptors
B. electric reactions
C. making nervous
D. loud nerves | B. electric reactions | high_school_biology | biology | ||
pythonio_417 | pythonio-mc | Program:
from collections import defaultdict
def freq_element(test_tup):
res = defaultdict(int)
for ele in test_tup:
res[ele] += 1
return (str(dict(res)))
Input:
freq_element((1, 4, 3, 1, 4, 5, 2, 6, 2, 7) )
Output: | A | code | computer_science | ||
allenai/sciq_9775 | allenai/sciq | The ph scale is a scale used to express the concentration of hydrogen ions in solution. a neutral solution, neither acidic nor basic, has a ph of what?
A. 7
B. 6
C. 8
D. 0 | A. 7 | dissociated ions. It is a dynamic equilibrium because acid and base molecules are constantly dissociating into ions and reassociating into neutral molecules. The pH scale is a scale used to express the concentration of hydrogen ions in solution. A neutral solution, neither acidic nor basic, has a pH of 7. Acidic soluti... | high_school_chemistry | chemistry | |
allenai/sciq_11197 | allenai/sciq | Lavas that cool underwater are called what?
A. water lavas
B. pillow lavas
C. sea lavas
D. bed lavas | B. pillow lavas | Different lava types create different rock types, such as pahoehoe and a'a. Lavas that cool underwater become pillow lavas. | college_earth_science | earth_science | |
aquarat_60065 | deepmind/aqua_rat | For a certain exam,a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam? | A. 74 B. 76 C. 78 D. 58.67 E. 82.2 | D. 58.67 | Mean-5SD=42
Mean+2.5SD=67
By solving above equations we get,
SD (absolute value)=3.33
Mean=58.67
ANS. D | high_school_statistics | mathematics |
mmlu_aux_train_86233 | mmlu_aux_train | Here are some easy tips for getting to sleep. They can help you deal with tension, stress and anxiety, and enjoy a good night sleep. Not every one of these tips alone will get you to sleep, but a few of them at least should be useful. Get some physical exercise during the day. Even 15 minutes a day of exercise (at leas... | D. Using sleeping pills. | clinical_knowledge | biology | ||
aquarat_20087 | deepmind/aqua_rat | There is a 10% chance that Tigers will not win at all during the whole season. There is a 30% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season? | A. A)55% B. B)60% C. C)80% D. D)72% E. E)70% | E. E)70% | There is a 10% chance that Tigers will not win at all during the whole season
We can infer that there is 90% chance Tigers will win .
Similarly There is a 30% chance that Federer will not play at all in the whole season
We can also infer that there is 70% chance that Federer will play.
Answer E | high_school_statistics | mathematics |
math_798 | math_mc | [asy] draw((0,0)--(0,3)--(4,0)--cycle,dot); draw((4,0)--(7,0)--(7,10)--cycle,dot); draw((0,3)--(7,10),dot); MP("C",(0,0),SW);MP("A",(0,3),NW);MP("B",(4,0),S);MP("E",(7,0),SE);MP("D",(7,10),NE); [/asy]
Triangle $ABC$ has a right angle at $C, AC=3$ and $BC=4$. Triangle $ABD$ has a right angle at $A$ and $AD=12$. Points $... | A | math_Geometry | mathematics | ||
mmlu_aux_train_8989 | mmlu_aux_train | Switzerland is the best place to be born in the world in 2013,and the US is just 16th. A new study made by the Economist Intelligence Unit says American babies will have a dimmer future than those born in Hong Kong,Ireland and even Canada. The EIU,a sister company of The Economist,tried to measure how well countries wi... | B. Switzerland | high_school_statistics | mathematics | ||
mmlu_aux_train_73327 | mmlu_aux_train | Holding doors open, picking up rubbish, thanking people ... these acts of kindness seem very small. But students at Tibbett Middle School know that it's the small acts that make the world a better place. Eighth-graders from New Mexico, US, took part in the Random Acts of Kindness Week from Feb 10 to 14. During the we... | C. a teacher | high_school_computer_science | computer_science | ||
mmlu_aux_train_49875 | mmlu_aux_train | When I learned that my 71-year-old mother was playing Scrabble--a word game--against herself, I knew I had to do something. My husband suggested we give her a computer to play against. I wasn't sure my mother was ready for it. After all, it had taken 15 years to persuade her to buy an electric cooker. Even so, we packe... | B. She is a teacher. | high_school_computer_science | computer_science | ||
math_602 | math_mc | In Ms. Smith's class, each student averages one day absent out of thirty. What is the probability that out of any two students chosen at random, one student will be absent while the other is present? Express your answer as a percent rounded to the nearest tenth. | D | math_Counting & Probability | mathematics | ||
aquarat_34728 | deepmind/aqua_rat | If the mode of Set D is equal to the median of Set D, Set D could be | A. [0, 1, 2, 2, 3, 4, 5, 6] B. [2, 2, 5, 7, 9] C. [x, x+1, x+2, x+2, x+3, x+3] D. [10, 102, 105, 105] E. [4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51] | C. [x, x+1, x+2, x+2, x+3, x+3] | Correct Answer: (C)
Set D could be The mode is the most common number; the median is the middle number when the numbers are arranged from least to greatest. Any number plus an integer value is greater than the original number, so x + 1 is greater than x, x + 2 is greater than x + 1, etc., so set (C) is arranged from le... | high_school_statistics | mathematics |
pythonio_431 | pythonio-mc | Program:
def last_Two_Digits(N):
if (N >= 10):
return
fac = 1
for i in range(1,N + 1):
fac = (fac * i) % 100
return (fac)
Input:
last_Two_Digits(2)
Output: | A | code | computer_science | ||
allenai/sciq_7989 | allenai/sciq | The subducting oceanic plate does what as it reenters the mantle?
A. disappers
B. evaporates
C. melts
D. freezes | C. melts | As you would expect, where plates collide there are lots of intense earthquakes and volcanic eruptions. The subducting oceanic plate melts as it reenters the mantle. The magma rises and erupts. This creates a volcanic mountain range near the coast of the continent. This range is called a continental arc . The Andes Mou... | college_earth_science | earth_science | |
mmlu_aux_train_94877 | mmlu_aux_train | In 1609, Galileo Galilei used lenses to construct the first telescope. His telescope allowed him to observe many objects in space. His invention of the telescope and the data he gathered directly contributed to the understanding that
A. Earth is the center of the universe.
B. the planets revolve around the Sun.
C. all... | B. the planets revolve around the Sun. | astronomy | physics | ||
allenai/sciq_2364 | allenai/sciq | Giardiasis and malaria are diseases caused by what organism?
A. larvae
B. bacteria
C. worms
D. protozoa | D. protozoa | Many human diseases are caused by protists. Most of them are caused by protozoa. They are parasites that invade and live in the human body. The parasites get a place to live and nutrients from the human host. In return, they make the host sick. Examples of human diseases caused by protozoa include giardiasis and malari... | high_school_biology | biology | |
aquarat_57901 | deepmind/aqua_rat | If A(k)=(k+2)^k, and k=0, what is the value of A(A(A(k)))/(18^15)? | A. 1 B. 18 C. 16 D. 6 E. 9 | B. 18 | A(A(A(0)))=A(A(2))=A(16)=18^16
18^16/18^15 = 18
Thus, the answer is B. | college_mathematics | mathematics |
allenai/sciq_4426 | allenai/sciq | What is the ability of an atom to emit, or give off, charged particles and energy from the nucleus?
A. radioactivity
B. magnetism
C. electrolysis
D. electromagnetism | A. radioactivity | Radioactivity is the ability of an atom to emit, or give off, charged particles and energy from the nucleus. The charged particles and energy are called by the general term radiation . Only unstable nuclei emit radiation. When they do, they gain or lose protons. Then the atoms become different elements. (Be careful not... | high_school_chemistry | chemistry |
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