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_74656 | mmlu_aux_train | Most people in America live in small family groups. More than a quarter of homes in America have only got one person in them. Some of these are old people but some are people of twenty or thirty years old who would like to live alone. 35% of homes have two people in them, and another 17% have three people. 15%have four... | A. 17% | high_school_statistics | mathematics | ||
mmlu_aux_train_86373 | mmlu_aux_train | A sunflower is a sunflower. A mobile phone is a mobile phone. But can you combine the two to do something for your local environment? As early as next year it may well be possible. When you have finished with your mobile phone you will be able to bury it in the garden and wait for it to flower . A biodegradable mob... | B. the phone cover will break down easily in the soil you bury it | high_school_biology | biology | ||
allenai/sciq_9317 | allenai/sciq | Which is the largest planet in our solar system?
A. titan
B. uranus
C. jupiter
D. neptune | C. jupiter | Jupiter is the largest planet in our solar system. | astronomy | physics | |
math_1316 | math_mc | A function $f:\mathbb{Z} \to \mathbb{Z}$ satisfies
\begin{align*}
f(x+4)-f(x) &= 8x+20, \\
f(x^2-1) &= (f(x)-x)^2+x^2-2
\end{align*}for all integers $x.$ Enter the ordered pair $(f(0),f(1)).$ | C | math_Intermediate Algebra | mathematics | ||
allenai/sciq_3893 | allenai/sciq | What makes sunsets appear red?
A. floral scattering
B. rayleigh scattering
C. wavelength scattering
D. reflection scattering | B. rayleigh scattering | Beautiful sunsets are another manifestation of Rayleigh scattering that occurs when light travels long distances through the atmosphere. The blue light and some green is scattered away, making the sun appear red. | conceptual_physics | physics | |
math_253 | math_mc | Find all solutions $x$ of the inequality $$\frac{5}{24} + \left|x-\frac{11}{48}\right| < \frac{5}{16}.$$Express your answer in interval notation, simplifying all fractions in your answer. | D | math_Algebra | mathematics | ||
math_658 | math_mc | A given sequence $r_1, r_2, \dots, r_n$ of distinct real numbers can be put in ascending order by means of one or more "bubble passes". A bubble pass through a given sequence consists of comparing the second term with the first term, and exchanging them if and only if the second term is smaller, then comparing the thir... | C | math_Counting & Probability | mathematics | ||
allenai/sciq_3607 | allenai/sciq | In a hot water heater, burning fuel causes the water to get hot because combustion is what type of reaction?
A. endothermic
B. biochemical
C. exothermic
D. geothermal | C. exothermic | A: A hot water heater increases the temperature of water in most homes. Many hot water heaters burn a fuel such as natural gas. The burning fuel causes the water to get hot because combustion is an exothermic reaction. | conceptual_physics | physics | |
allenai/sciq_4877 | allenai/sciq | What layer, made of hot, solid rock, is beneath the earth's crust?
A. magma
B. marble
C. core
D. mantle | D. mantle | Beneath the crust is the mantle . The mantle is made of hot, solid rock. Through the process of conduction, heat flows from warmer objects to cooler objects ( Figure below ). The lower mantle is heated directly by conduction from the core. | college_earth_science | earth_science | |
allenai/sciq_397 | allenai/sciq | What process refers to a separation of charge within an atom or molecule?
A. polarization
B. rotation
C. convection
D. diffusion | A. polarization | material, and is intimately related to the polarizability of the material. Things Great and Small The Submicroscopic Origin of Polarization Polarization is a separation of charge within an atom or molecule. As has been noted, the planetary model of the atom pictures it as having a positive nucleus orbited by negative e... | college_chemistry | chemistry | |
aquarat_3111 | deepmind/aqua_rat | If d is the standard deviation x, y, and z, what is the standard deviation of x - 5, y - 5, z - 5 ? | A. d B. 3d C. 15d D. d + 5 E. d + 15 | A. d | If we add or subtract a constant to each term in a set:
Mean will increase or decrease by the same constant.
SD will not change.
If we increase or decrease each term in a set by the same percent (multiply by a constant):
Mean will increase or decrease by the same percent.
SD will increase or decrease by the same percen... | high_school_statistics | mathematics |
aquarat_70705 | deepmind/aqua_rat | For a,w,d are the positive integers, and d|a means that “a is divisible by d”, if d|aw, which of the following must be true? | A. d|a B. d|w C. d|2aw D. d|(a+w) E. d|(a-w) | C. d|2aw | d/a means a is divisible by d
d/aw means ab divisible by d.
all are integers so ,
if aw is divisible by d,
1 a can be divisible by d
or
2 w can be divisble by d.
so the question stem asks must true.
so option a and b are could but not must.
option c is 2aw divisible by d. if ab is divisible by d then 2aw is divisible b... | abstract_algebra | mathematics |
allenai/sciq_8453 | allenai/sciq | The ability of matter to burn is called?
A. eccentricity
B. flammability
C. solubility
D. unpredictability | B. flammability | Flammability is the ability of matter to burn. Wood is flammable; iron is not. When wood burns, it changes to ashes, carbon dioxide, water vapor, and other gases. After burning, it is no longer wood. | high_school_chemistry | chemistry | |
aquarat_21523 | deepmind/aqua_rat | A 12% item produces 20%. The market value of the item is: | A. Rs. 55 B. Rs. 60 C. Rs. 40 D. Rs. 65 E. Rs. 70 | B. Rs. 60 | Let the face value of the item is Rs.100
It produces Rs.12
Market value of the stock=(12/20)*100=Rs.60
ANSWER:B | college_mathematics | mathematics |
aquarat_2117 | deepmind/aqua_rat | If PENCIL is coded as 45 and TRASH is coded as 36, then MEMORY is coded as | A. 33 B. 59 C. 60 D. 72 E. None | D. 72 | PENCIL= 16+5+14+3+9+12=59 i.e 5*9=45
TRASH= 20+18+1+19+8=66 i.e 6*6=36
MEMORY 13+5+13+15+18+25=89 8*9=72
ANSWER:D | formal_logic | mathematics |
mmlu_aux_train_16326 | mmlu_aux_train | American high school students are terrible writers, and one education reform group thinks it has an answer: robots. Or, more accurately, robot-readers-computers programmed to scan student essays and _ a grade. Mark Shermis, professor of the College of Education at the University of Akron, is helping to hold a contest, ... | C. robot-readers | high_school_computer_science | computer_science | ||
mmlu_aux_train_2246 | mmlu_aux_train | The mixing of cold Arctic Ocean water with warm surface Atlantic currents off the northwestern coast of Europe causes which effect?
A. sinking of water as it circulates southwest
B. reversal of current direction back toward the European coast
C. rise in water salinity and upwelling of affected currents
D. rapid evapor... | A. sinking of water as it circulates southwest | college_earth_science | earth_science | ||
math_308 | math_mc | Find the area of the triangle bounded by the $y$-axis and the lines $y-3x=-2$ and $3y+x=12$. | C | math_Algebra | mathematics | ||
math_1882 | math_mc | In quadrilateral $ABCD,$ $AB = 5,$ $BC = 8$, and $CD = 20$ units. Angle $B$ and angle $C$ are both right angles. What is the length of segment $AD$? | B | math_Prealgebra | mathematics | ||
allenai/sciq_8037 | allenai/sciq | What kind of atomic molecule is oxygen gas?
A. aromatic
B. dramatic
C. diatomic
D. symbiotic | C. diatomic | Make sure formulas of all reactants and products are correct before balancing the equation. Oxygen gas is a diatomic molecule. Potassium oxide is an ionic compound and so its formula is constructed by the crisscross method. Potassium as an ion becomes K + , while the oxide ion is O 2− . | high_school_chemistry | chemistry | |
NLP4Education_667 | NLP4Education | Consider the cipher defined by
\[
\begin{array}{llll}
C : & \{0,1\}^{4} & \rightarrow & \{0,1\}^{4} \\
& x & \mapsto & C(x)=x \oplus 0110 \\
\end{array}
\]
The value \( LP^C(1,1) \) is equal to
A. 0
B. 1/4
C. 1/2
D. 1 | C. 1/2 | computer_security | computer_science | ||
allenai/sciq_3859 | allenai/sciq | The reaction of calcium oxide with carbon dioxide forms what?
A. nitrogen carbonate
B. calcium carbonate
C. carbon monoxide
D. nitrogen | B. calcium carbonate | The way in which a reaction is written influences the value of the enthalpy change for the reaction. Many reactions are reversible, meaning that the product(s) of the reaction are capable of combining and reforming the reactant(s). If a reaction is written in the reverse direction, the sign of the changes. For example,... | high_school_chemistry | chemistry | |
mmlu_aux_train_57267 | mmlu_aux_train | It's a safe bet that a robot made your car and your computer.Pretty soon,they could be making your bed and breakfast,too. Increasingly,engineers are saying that robots are going to move out of research departments and into your home.Companies including Sony and General Electric are working on designs for small robo... | B. Cleaning floors. | high_school_computer_science | computer_science | ||
aquarat_85752 | deepmind/aqua_rat | If X = Y/Z, -1 < Z < 0 and 4 < Y, which of the following is correct? | A. X > 4. B. 0 < X <4. C. -4 < X < 0 D. X < -4. E. X < -20 | D. X < -4. | Y is +ve & Z is -ve
Eliminate A & B
For min. value max. numerator and minimize denominator
take Y=4.1 & X=-0.9
X=4.1/-0.9
X<-4
Ans D | college_mathematics | mathematics |
math_1305 | math_mc | Let $x,$ $y,$ $z,$ $v,$ $w$ be positive real numbers such that $x^2 + y^2 + z^2 + v^2 + w^2 = 2016.$ Let $M$ be the maximum value of
\[xz + 2yz + 3zv + 7zw,\]and let $x_M,$ $y_M$, $z_M,$ $v_M,$ $w_M$ be the values of $x,$ $y,$ $z,$ $v,$ $w,$ respectively, that produce the maximum value of $M.$ Find $M + x_M + y_M + z... | A | math_Intermediate Algebra | mathematics | ||
pythonio_951 | pythonio-mc | Program:
def floor_Max(A,B,N):
x = min(B - 1,N)
return (A*x) // B
Input:
floor_Max(5,7,4)
Output: | C | code | computer_science | ||
pythonio_102 | pythonio-mc | Program:
def Total_Hamming_Distance(n):
i = 1
sum = 0
while (n // i > 0):
sum = sum + n // i
i = i * 2
return sum
Input:
Total_Hamming_Distance(4)
Output: | B | code | computer_science | ||
NLP4Education_567 | NLP4Education | Let $n$ be a positive integer. The Fermat test most likely outputs ``prime'' …
A. only when $n$ is prime.
B. only when $n$ is composite.
C. when $n$ is prime or when $n$ is not a Carmichael number.
D. when $n$ is prime or when $n$ is a Carmichael number. | D. when $n$ is prime or when $n$ is a Carmichael number. | college_mathematics | mathematics | ||
mmlu_aux_train_61016 | mmlu_aux_train | China will soon put its first domestically developed electric aircraft into mass production, and designers expect a huge market at home and abroad. "The RX1E is scheduled to receive its airworthiness(,,)certificate from the Civil Aviation Administration of China before the end of this year, with production expected to ... | B. Technology | astronomy | physics | ||
NLP4Education_534 | NLP4Education | The encryption in GSM is done by ...
A. A3
B. A8
C. E0
D. A5 | D. A5 | computer_security | computer_science | ||
NLP4Education_516 | NLP4Education | Let $p$ and $q$ be two prime numbers and $n=pq$. Let $K_p=(e,n)$ and $K_s=(d,n)$ be the RSA public and private keys respectively. Recall that the encryption of a message $m$ is $c=m^e \bmod{n}$ and the decryption is $m=c^d \bmod{n}$. Which assertion is \emph{always true}?
A. $ed = 1 \pmod{n}$
B. $ed = 1 \pmod{\varphi(n... | B. $ed = 1 \pmod{\varphi(n)}$ | college_mathematics | mathematics | ||
mmlu_aux_train_93755 | mmlu_aux_train | Which element is most likely to form an ion with a negative 2 charge?
A. oxygen
B. nitrogen
C. beryllium
D. magnesium | A. oxygen | high_school_chemistry | chemistry | ||
aquarat_17880 | deepmind/aqua_rat | How many ways are there for 6 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall? | A. 6 B. 12 C. 72 D. 100 E. 1440 | E. 1440 | So Mary has her own chair, fixed position. Other two females around the table can sit in 2 ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 6 males will sit between them then no two female or two male will sit next to each other (female-male-female-male-female-male). But these male... | college_mathematics | mathematics |
allenai/sciq_5789 | allenai/sciq | What are small planets in our solar system called?
A. scrub planets
B. light planets
C. Tiny planets
D. dwarf planets | D. dwarf planets | Eris is the largest known dwarf planet in the solar system. It is 27 percent larger than Pluto ( Figure above ). Like Pluto and Makemake, Eris is in the Kuiper belt. But Eris is about 3 times farther from the Sun than Pluto. Because of its distance, Eris was not discovered until 2005. Early on, it was thought that Eris... | astronomy | physics | |
allenai/sciq_10711 | allenai/sciq | What kind of charge do iconic compounds have?
A. white neutral charge
B. net positive charge
C. net negative charge
D. net neutral charge | D. net neutral charge | Ionic compounds consist of oppositely charged ions that are held together by ionic bonds. The opposite charges cancel out so ionic compounds have a net neutral charge. Ionic compounds form when metals transfer valence electrons to nonmetals. | high_school_chemistry | chemistry | |
aquarat_30157 | deepmind/aqua_rat | emblem is coded as 216;
crude is coded as 125
Crickets will be ? | A. 243 B. 644 C. 512 D. 380 E. 464 | C. 512 | coding follows (no. of letters)^3
emblem = 216 = 6^3
crude = 125 = 5^3
Crickets = 8^3 =512
ANSWER:C | formal_logic | mathematics |
allenai/sciq_11565 | allenai/sciq | The limit to how much solute will dissolve in a given amount of solvent is called what?
A. solubility
B. potency
C. density
D. strength | A. solubility | Solubility There is usually a limit to how much solute will dissolve in a given amount of solvent. This limit is called the solubility of the solute. Some solutes have a very small solubility, while other solutes are soluble in all proportions. Table 9.2 "Solubilities of Various Solutes in Water at 25°C (Except as Note... | high_school_chemistry | chemistry | |
aquarat_16506 | deepmind/aqua_rat | The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday? | A. 10% B. 15% C. 12% D. 13% E. 14% | B. 15% | P(Absent|Friday) = P(Friday and abscent)/P(Friday)
= 0.03/0.2
= 15%
ANSWER:B | high_school_statistics | mathematics |
allenai/sciq_7085 | allenai/sciq | Being dependent on adults for a long maturation period allows young primates ample time for what?
A. learning
B. sleeping
C. socialization
D. attachment | A. learning | Primates have slower rates of development than other mammals their size. They reach maturity later and have longer lifespans. Being dependent on adults for a long maturation period gives young primates plenty of time to learn from their elders. | high_school_biology | biology | |
aquarat_55834 | deepmind/aqua_rat | what is summation of [3^k(28Ck)] (summation range 28 to k=0) where 28Ck is the number of ways of choosing k items from 28 items?? | A. 4^28 B. 4^27 C. 4^26 D. 4^25 E. 4^24 | A. 4^28 | The expansion of (1+x)^n=nC0 x^0+nC1 x^1+nC2 x^2+......
putting the value of x=3 and n=28 we get
(1+3)^28=28C0 3^0+28C1 3^1+28C2 3^2+28C3 3^3.......
which is the given summation we need to find hence,
ans= 4^28
ANSWER:A | college_mathematics | mathematics |
math_889 | math_mc | With all angles measured in degrees, the product $\prod_{k=1}^{45} \csc^2(2k-1)^\circ=m^n$, where $m$ and $n$ are integers greater than 1. Find $m+n$.
| B | math_Geometry | mathematics | ||
allenai/sciq_860 | allenai/sciq | What is making measurements that are close to the true value known as?
A. frequency
B. accuracy
C. prediction
D. estimation | B. accuracy | Accuracy means making measurements that are close to the true value. | high_school_physics | physics | |
allenai/sciq_6577 | allenai/sciq | Like the other outer planets, neptune has rings of ice and what?
A. mercury
B. glass
C. dust
D. gas | C. dust | Like the other outer planets, Neptune has rings of ice and dust. These rings are much thinner and fainter than Saturn's. Neptune's rings may be unstable. They may change or disappear in a relatively short time. | astronomy | physics | |
mmlu_aux_train_94039 | mmlu_aux_train | The best example of heat transfer by convection is when
A. sunlight warms soil.
B. a ceiling fan blows air.
C. flames heat up a pan.
D. heat rises in a chimney. | D. heat rises in a chimney. | high_school_physics | physics | ||
math_1399 | math_mc | Let $a$ and $b$ be nonzero real numbers. Find the minimum value of
\[a^2 + b^2 + \frac{1}{a^2} + \frac{b}{a}.\] | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_18821 | mmlu_aux_train | A car that runs on coffee is unveiled(shown to the public for the first time)today but at between 25 and 50 times the cost of running a car on petrol, the invention won't please any motor industry accountants. Nicknamed the Car-puccino, it has been created using a 1988 Volkswagen Scirocco bought for PS400 and it was ch... | A. It should be very dry. | conceptual_physics | physics | ||
allenai/sciq_2656 | allenai/sciq | According to early accounts, newton was inspired to make the connection between falling bodies and astronomical motions when he saw an apple fall from a tree and realized that if the gravitational force could extend above the ground to a tree, it might also reach this?
A. horizon
B. moon
C. stars
D. sun | D. sun | Figure 6.20 According to early accounts, Newton was inspired to make the connection between falling bodies and astronomical motions when he saw an apple fall from a tree and realized that if the gravitational force could extend above the ground to a tree, it might also reach the Sun. The inspiration of Newton’s apple i... | astronomy | physics | |
aquarat_76128 | deepmind/aqua_rat | Which of the following is closer to (21!+20!)/(21!-20!)? | A. 49 B. 36 C. 25 D. 16 E. 1 | E. 1 | Notice that 21! = (21)(20!), so we can factor out 20! from top and bottom.
(21!+20!)/(21!-20!)=[20!(21+1)]/[20!(21-1)]
= (21+1)/(20-1)
= 22/19
≈ 1
Answer: E | college_mathematics | mathematics |
allenai/sciq_4338 | allenai/sciq | When a lower energy level is ______ electrons are added to the next higher energy level.
A. empty
B. unbalanced
C. ready
D. full | D. full | Only when a lower energy level is full are electrons added to the next higher energy level. Electrons at higher energy levels, which are farther from the nucleus, have more energy. They also have more orbitals and greater possible numbers of electrons. | high_school_chemistry | chemistry | |
math_606 | math_mc | How many ways are there to choose 3 cards from a standard deck of 52 cards, if all three cards must be of different suits? (Assume that the order of the cards does not matter.) | C | math_Counting & Probability | mathematics | ||
aquarat_37700 | deepmind/aqua_rat | what is the remainder when 50! is divided by 16^8?? | A. 0 B. 1 C. 2 D. 3 E. 4 | A. 0 | 16 raise to 8=2 raise to 32, now highest power of 2 divisible by 50! Is 25+12+6+3+1=47
Since 2 raise to 47 is divisible, 2 raise to 32 also will be divisible
ANSWER:A | college_mathematics | mathematics |
pythonio_468 | pythonio-mc | Program:
import itertools
def remove_duplicate(list1):
list.sort(list1)
remove_duplicate = list(list1 for list1,_ in itertools.groupby(list1))
return remove_duplicate
Input:
remove_duplicate([[10, 20], [40], [30, 56, 25], [10, 20], [33], [40]])
Output: | C | code | computer_science | ||
allenai/sciq_9730 | allenai/sciq | What are the most numerous organisms in the world?
A. primates
B. insects
C. jellyfish
D. reptiles | B. insects | Insects are arthropods in the class Hexapoda. They are the most numerous organisms in the world. | high_school_biology | biology | |
allenai/sciq_2156 | allenai/sciq | What are used to lift large masses of magnetic materials such as scrap iron, rolls of steel, and auto parts?
A. Glue
B. electromagnets
C. Tape
D. screws | B. electromagnets | Electromagnets find use in many practical applications. Electromagnets are used to lift large masses of magnetic materials such as scrap iron, rolls of steel, and auto parts. | high_school_physics | physics | |
aquarat_28020 | deepmind/aqua_rat | A set of data consists of the following 4 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? | A. -1 and 9 B. 4 and 4 C. 3 and 5 D. 2 and 6 E. 0 and 8 | E. 0 and 8 | If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same ... | high_school_statistics | mathematics |
mmlu_aux_train_69888 | mmlu_aux_train | A driver stopped his car on a street side to have a rest. When he sat in the seat and closed his eyes, a pedestrian came up and knocked at his window to ask the time. The driver opened his eyes and looked at his watch, "It is 8 o'clock." He said. Then he went to sleep again. But soon he woke up because a second pedes... | B. have a rest | formal_logic | mathematics | ||
mmlu_aux_train_27442 | mmlu_aux_train | It has been more than twenty years since pioneering British computer programmer, Sir Tim Berners Lee, created the World Wide Web. But could he have ever imagined how much the web would change our lives? And would he approve of how some British students are taking advantage of his invention? Universities and exam boards... | C. The Internet seems to have contributed much to the problem of online plagiarism. | computer_security | computer_science | ||
allenai/sciq_617 | allenai/sciq | What substance is created when a copper turns from reddish brown to greenish brown?
A. copper oxide
B. copper alloy
C. iron oxide
D. rust | A. copper oxide | A: Another example of matter changing color is a penny changing from reddish brown to greenish brown as it becomes tarnished. The color change indicates that a new chemical substance has been produced. Copper on the surface of the penny has combined with oxygen in the air to produce a different substance called copper ... | high_school_chemistry | chemistry | |
mmlu_aux_train_69503 | mmlu_aux_train | Spam mail is a fact of Internet life. Some of it carries bad things, but the main problem with spam is that it is unpleasant because it fills your mail box with pointless messages. Most email programs have built-in filters that will discover unwanted messages and put them into a junk folder . You can make the filt... | C. It's unpleasant. | computer_security | computer_science | ||
mmlu_aux_train_70828 | mmlu_aux_train | Blogging has become something of a big thing in the last few years. Just like the Internet was 10 years ago, blogging is popular with an underground culture, that is doing it for love and passion . Blogging is a way of collecting links to webpages and sharing thoughts and ideas with people online. Blogs are basically ... | B. Blogging is important in the past few years. | high_school_computer_science | computer_science | ||
math_656 | math_mc | We have a standard deck of 52 cards, with 4 cards in each of 13 ranks. We call a 5-card poker hand a full house if the hand has 3 cards of one rank and 2 cards of another rank (such as 33355 or AAAKK). What is the probability that five cards chosen at random form a full house? | C | math_Counting & Probability | mathematics | ||
pythonio_385 | pythonio-mc | Program:
import re
def replace(string, char):
pattern = char + '{2,}'
string = re.sub(pattern, char, string)
return string
Input:
replace('peep','e')
Output: | C | code | computer_science | ||
mmlu_aux_train_54635 | mmlu_aux_train | I love online shopping, but for years I did all my shopping offline since I wasn't sure if it is really safe to buy online. In the last few years I started buying almost everything online after I understood that buying online can be safer than buying offline as long as you follow a few safety rules. Check for delivery... | B. he finds it can be safer to shop online | computer_security | computer_science | ||
pythonio_244 | pythonio-mc | Program:
def floor_Min(A,B,N):
x = max(B - 1,N)
return (A*x) // B
Input:
floor_Min(1,2,1)
Output: | C | code | computer_science | ||
mmlu_aux_train_95511 | mmlu_aux_train | Heating ice
A. changes it's chemical make-up
B. will leave a puddle
C. requires a deep freezer
D. makes it even colder | B. will leave a puddle | high_school_physics | physics | ||
aquarat_96451 | deepmind/aqua_rat | The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order? | A. 58 > 30 > 27 > 14 B. 58 > 30 > 27 > 15 C. 58 > 30 > 27 > 16 D. 58 > 30 > 27 > 17 E. None | A. 58 > 30 > 27 > 14 | Solution:
Here, the alphabets can be re-written to their corresponding numbers:
A = 1, B = 2, C = 3... and so on
SHOP = 19 + 8 + 15 + 16 = 58
FEAR = 6 + 5 + 1 + 18 = 30
BALL = 2 + 1 + 12 + 12 = 27
DEAD = 4 + 5 + 1 + 4 = 14
Now, clearly 58 > 30 > 27 > 14
Thus, the order.
Answer A | formal_logic | mathematics |
allenai/sciq_8325 | allenai/sciq | What is the industrial chemical produced in greatest quantity worldwide?
A. boric acid
B. liquid acid
C. gaseous acid
D. sulfuric acid | D. sulfuric acid | Sulfuric acid is the industrial chemical produced in greatest quantity worldwide. About 90 billion pounds are produced each year in the United States alone. Write the Lewis structure for sulfuric acid, H2SO4, which has two oxygen atoms and two OH groups bonded to the sulfur. 7.5 Strengths of Ionic and Covalent Bonds 64... | high_school_chemistry | chemistry | |
mmlu_aux_train_2074 | mmlu_aux_train | The gravitational force of the Sun affects the planets in our solar system. Which of these is influenced the most by this force?
A. axial tilt
B. orbital path
C. the masses of the planets
D. the number of moons per planet | B. orbital path | astronomy | physics | ||
NLP4Education_728 | NLP4Education | ASLR needs support from:
A. the OS kernel, loader, and compiler
B. the loader, compiler, and programming language
C. the compiler, the hardware, and the programming language
D. the programming language, the loader, and the OS kernel | A. the OS kernel, loader, and compiler | computer_security | computer_science | ||
aquarat_47244 | deepmind/aqua_rat | 8^100 is divisible by 17 then find the remainder? | A. 8 B. 10 C. 16 D. 17 E. 18 | C. 16 | This is an extremely difficult problem to solve with out Fermat's little theorem. By applying Fermat's little theorem , We know that 816 when divided by 17, the remainder is 1.
So divide 100 by 16 and find the remainder. Remainder = 4
Therefore, 100 = (16 × 6) + 4
Now this problem can be written as 810017 = 816×6+417 =... | college_mathematics | mathematics |
math_141 | math_mc | Let $r(\theta) = \frac{1}{1-\theta}$. What is $r(r(r(r(r(r(30))))))$ (where $r$ is applied $6$ times)? | A | math_Algebra | mathematics | ||
mmlu_aux_train_40556 | mmlu_aux_train | Saturday 28 April, 2001: Dennis Tito was setting off on his holiday. Mr. Tito's journey was certainly unusual! So was the transport he chose, and the price of his trip. The 60-year-old multi-millionaire from New York was sitting on board a Russian spaceship. He was on a journey to the International Space Station. It ... | B. Space Tourists | astronomy | physics | ||
mmlu_aux_train_26625 | mmlu_aux_train | The Future of Technology William, a businessman, arrives in a foreign airport. He doesn't show his passport. Instead, a machine in the wall reads the computer chip in his arm. This contains information about him: his name, age, and I.D number. He exits the airport, and a car door opens when it "sees" him. The car takes... | C. his information can be read by a machine | computer_security | computer_science | ||
allenai/sciq_4011 | allenai/sciq | What causes halide minerals to form?
A. salt water accumulation
B. fresh water ionization
C. salt water evaporation
D. salt water ionization | C. salt water evaporation | Halide minerals are salts. They form when salt water evaporates. This mineral class includes more than just table salt. Halide minerals may contain the elements fluorine, chlorine, bromine, or iodine. Some will combine with metal elements. Common table salt is a halide mineral that contains the elements chlorine and so... | high_school_chemistry | chemistry | |
aquarat_91233 | deepmind/aqua_rat | For the infinite sequence of numbers a1, a2, a3, ..., an, ..., for all n > 1, an = an−1an−1 + 4 if n is odd and an = an−1 if n is even. What is the value of a1a1 if a34 = 68? | A. 10 B. 11 C. 12 D. 13 E. 21 | E. 21 | a34= 68 = a33 - 1 = a32 - 1 +4 ... and so on
So observing the trend,
a34 = a1 +(32/2) * 4 - (34/2) * (-1)
[32/2 to get all the even n (from 32 to 2) and 34/2 to get all the odd n (from 33 to 1) including 33 and 1]
a1 = 68-64+17 = 21
Hence, answer will be E. | college_mathematics | mathematics |
NLP4Education_341 | NLP4Education | A major specificity of natural languages is that they are inherently implicit and ambiguous. How should this be taken into account in the NLP perspective?
A. By expecting users to communicate in ways that minimize ambiguity and implicitness
B. By designing NLP algorithms and data structures that can handle highly ambig... | B. By designing NLP algorithms and data structures that can handle highly ambiguous representations efficiently | machine_learning | computer_science | ||
pythonio_123 | pythonio-mc | Program:
def toggle_string(string):
string1 = string.swapcase()
return string1
Input:
toggle_string("Python")
Output: | A | code | computer_science | ||
allenai/sciq_496 | allenai/sciq | What must happen for two ions to form an ionic bond?
A. two ions need to have the same charge
B. Two ions need to be the same size
C. two ions need to have neutral charges
D. two ions need to have opposite charges | D. two ions need to have opposite charges | high_school_chemistry | chemistry | ||
math_2081 | math_mc | Find the value of $x$ between 0 and 180 such that
\[\tan (120^\circ - x^\circ) = \frac{\sin 120^\circ - \sin x^\circ}{\cos 120^\circ - \cos x^\circ}.\] | A | math_Precalculus | mathematics | ||
aquarat_51903 | deepmind/aqua_rat | 6.006/3.003 | A. 0.002 B. 0.02 C. 0.2 D. 20 E. 2 | E. 2 | Answer is 2, move the decimal forward three places for both numerator and denominator or just multiply both by a thousand. The result is 6006/3003= 2
Answer E | college_computer_science | computer_science |
allenai/sciq_3041 | allenai/sciq | Neon is an example of what kind of gas?
A. natural
B. ideal
C. noble
D. inert | C. noble | Once we reach neon, a noble gas, all of the 2p orbitals will be completely full. Neon has a configuration of 1s 2 2s 2 2p 6 . Any further electrons will need to go in the next highest energy orbital, which would be the 3s orbital. | high_school_chemistry | chemistry | |
mmlu_aux_train_96371 | mmlu_aux_train | the moon rising occurs
A. once in a decade
B. 4 times a year
C. 7 times a week
D. 1 time a month | C. 7 times a week | astronomy | physics | ||
mmlu_aux_train_2045 | mmlu_aux_train | Which of the following is an example of a chemical change?
A. clouds forming
B. sugar dissolving
C. water freezing
D. a candle burning | D. a candle burning | high_school_chemistry | chemistry | ||
mmlu_aux_train_44887 | mmlu_aux_train | Sleep is a basic human need, as basic as the need for oxygen. Getting a good night's sleep is not only directly related to how we feel the next day, but to our long-term health as well. However, many of us suffer from insomnia . Even more odf us report at least one night of restless sleep per week. This is a serious p... | B. Preventing the wind from blowing into your room. | clinical_knowledge | biology | ||
math_1230 | math_mc | A $\frac 1p$ -array is a structured, infinite, collection of numbers. For example, a $\frac 13$ -array is constructed as follows:
\begin{align*} 1 \qquad \frac 13\,\ \qquad \frac 19\,\ \qquad \frac 1{27} \qquad &\cdots\\ \frac 16 \qquad \frac 1{18}\,\ \qquad \frac{1}{54} \qquad &\cdots\\ \frac 1{36} \qquad \frac 1{108}... | B | math_Intermediate Algebra | mathematics | ||
math_1351 | math_mc | The coefficients of the polynomial
\[x^4 + bx^3 + cx^2 + dx + e = 0\]are all integers. Let $n$ be the exact number of integer roots of the polynomial, counting multiplicity. For example, the polynomial $(x + 3)^2 (x^2 + 4x + 11) = 0$ has two integer roots counting multiplicity, because the root $-3$ is counted twice.... | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_66088 | mmlu_aux_train | The world's biggest Internet search engine, Google, has proven once again to be King of the Web. Users can download "Google Wi-Fi" software and then enjoy free Wi-Fi service available in some US cities since last Tuesday. Wi-Fi is short for "Wireless Fidelity" . It allows laptop computers and personal digital assistant... | D. a hotspot | computer_security | computer_science | ||
mmlu_aux_train_97715 | mmlu_aux_train | if a person gets a shock from a faulty system, which of these surfaces were likely touched?
A. a paper lined surface
B. a steel lined one
C. a wood lined one
D. a cotton line surface | B. a steel lined one | electrical_engineering | engineering | ||
aquarat_94249 | deepmind/aqua_rat | A 6% stock yields 8%. The market value of the stock is | A. 33 B. 75 C. 44 D. 27 E. 91 | B. 75 | For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6, investment = Rs. 100 x 6 = Rs. 75.
8
Market value of Rs. 100 stock = Rs. 75.
Answer: B | college_mathematics | mathematics |
math_1481 | math_mc | Find the minimum value of
\[2x^2 + 2xy + y^2 - 2x + 2y + 4\]over all real numbers $x$ and $y.$ | A | math_Intermediate Algebra | mathematics | ||
allenai/sciq_1498 | allenai/sciq | What kind of compounds are named for their positive metal ion first, followed by their negative nonmetal ion?
A. magnetic compounds
B. ionic compounds
C. magnetic compounds
D. horizontal compounds | B. ionic compounds | Ionic compounds are named for their positive metal ion first, followed by their negative nonmetal ion. | high_school_chemistry | chemistry | |
pythonio_522 | pythonio-mc | Program:
def geometric_sum(n):
if n < 0:
return 0
else:
return 1 / (pow(2, n)) + geometric_sum(n - 1)
Input:
geometric_sum(7)
Output: | D | code | computer_science | ||
aquarat_14096 | deepmind/aqua_rat | If KING is coded as 17 and MASS is coded as 29 Then DON is coded as | A. 21 B. 20 C. 18 D. 16 E. None of these | C. 18 | KING = 11+9+14+7=41 i.e (4*4)+(1*1)=17
MASS = 13+1+19+19=52 i.e (5*5)+(2*2)=29
DON = 4+14+15=33 i.e(3*3)+(3*3)=18
ANSWER:C | formal_logic | mathematics |
aquarat_44284 | deepmind/aqua_rat | The probability that a convenience store has no iced tea is 40%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea? | A. 1/8 B. 1/4 C. 1/2 D. 3/4 E. 21/25 | E. 21/25 | p=1-2/5^2(all stores have iced tea)=21/25
E | high_school_statistics | mathematics |
math_1579 | math_mc | Each of two boxes contains both black and white marbles, and the total number of marbles in the two boxes is $25.$ One marble is taken out of each box randomly. The probability that both marbles are black is $27/50,$ and the probability that both marbles are white is $m/n,$ where $m$ and $n$ are relatively prime positi... | B | math_Number Theory | mathematics | ||
math_2107 | math_mc | For all real numbers $x$ except $x=0$ and $x=1$ the function $f(x)$ is defined by
\[f \left( \frac{x}{x - 1} \right) = \frac{1}{x}.\]Suppose $0\leq t\leq \frac{\pi}{2}$. What is the value of $f(\sec^2t)$? | A | math_Precalculus | mathematics | ||
math_173 | math_mc | What is the $x$-coordinate of the point on the $x$-axis that is equidistant from points $A( -2, 0)$ and $B(0,4)$? | D | math_Algebra | mathematics | ||
math_542 | math_mc | A particle moves in the Cartesian plane according to the following rules:
From any lattice point $(a,b),$ the particle may only move to $(a+1,b), (a,b+1),$ or $(a+1,b+1).$
There are no right angle turns in the particle's path.
How many different paths can the particle take from $(0,0)$ to $(5,5)$?
| C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_5075 | mmlu_aux_train | Chokwe Selassie, aged 13, is working hard to help drivers avoid potholes . The eighth-grader was inspired to kick off his creation on a recent morning, when his mother was driving him to school. Their car was damaged as it went over a huge pothole in the middle of the street in their hometown of Jackson, Mississippi. H... | A. Warn drivers about potholes. | high_school_computer_science | computer_science | ||
mmlu_aux_train_25171 | mmlu_aux_train | The average British 22 year-old has more than 1,000 online friends on sites like Facebook, compared to those in their fifties who have fewer than 20, according to a new study. The "Facebookgeneration gap" has been highlighted in a new piece of research which shows that the average 22 year-old claims to have 1,000 or mo... | B. Age | high_school_statistics | mathematics |
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