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 |
|---|---|---|---|---|---|---|---|
allenai/sciq_2562 | allenai/sciq | Where do plates move apart in oceans and on land?
A. volcanic ridges
B. divergent plate boundaries
C. unsettled plate boundaries
D. coastal zones | B. divergent plate boundaries | Plates move apart at divergent plate boundaries. This can occur in the oceans or on land. | earth_science | earth_science | |
mmlu_aux_train_60880 | mmlu_aux_train | Google has been collecting tons of data about smartphone usage around the world. Here are some of the most surprising and interesting facts: Android is most popular in Japan, with 55% of respondents using it, compared with 39% for iOS.Android is also number one in a few other countries, including New Zealand (41%), t... | D. Symbian>Android>Windows Mobile>iOS | computer_security | computer_science | ||
NLP4Education_407 | NLP4Education | Which of the following is an element of $\mathbb{Z}_{60}^*$?
A. 49
B. 30
C. 26
D. 21 | A. 49 | abstract_algebra | mathematics | ||
allenai/sciq_8640 | allenai/sciq | Which layer of the earth is molten?
A. the metallic core
B. the outer core
C. the inner core
D. the mantle | B. the outer core | The dense, iron core forms the center of the Earth. Scientists know that the core is metal. The inner core is solid, and the outer core is molten. Here are some of the reasons they know this:. | astronomy | physics | |
mmlu_aux_train_41525 | mmlu_aux_train | Your friends might be in Australia or maybe just down the road, but they are all just a few clicks away. Life has changed for millions of young people across the world who now make friends online. Whether you use chat-rooms, QQ, MSN or ICQ, you are a member of this group. "I don't often talk with my parents or grandpar... | D. it is easy and fast to get in touch with your friends | high_school_computer_science | computer_science | ||
math_575 | math_mc | A set of $n$ people participate in an online video basketball tournament. Each person may be a member of any number of $5$-player teams, but no two teams may have exactly the same $5$ members. The site statistics show a curious fact: The average, over all subsets of size $9$ of the set of $n$ participants, of the numbe... | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_96600 | mmlu_aux_train | Slate probably formed
A. on top of a glacier
B. somewhere in the Internet
C. on a mountain top
D. deep within the earth | D. deep within the earth | college_geology | earth_science | ||
allenai/sciq_11253 | allenai/sciq | What protects reptiles from drying out?
A. scales
B. hairs
C. skin
D. sweat | A. scales | Reptiles also have several adaptations for living on land. They have a skin covered in scales to protect them from drying out. All reptiles have lungs to breathe air. Reptiles are also amniotes , which means their embryos are surrounded by a thin membrane. This membrane protects the embryo from the harsh conditions of ... | high_school_biology | biology | |
allenai/sciq_9411 | allenai/sciq | What is the name of the narrow tube that begins at the stomach and ends at the large intestine?
A. small stomach
B. small intestine
C. small tissues
D. pancreas | B. small intestine | The small intestine is a narrow tube that starts at the stomach and ends at the large intestine. In adults, it’s about 7 meters (23 feet) long. Most chemical digestion and almost all nutrient absorption take place in the small intestine. | anatomy | biology | |
aquarat_42075 | deepmind/aqua_rat | The distance light travels in one year is approximately 5,850,000,000,000 miles. The distance light travels in 100 years is | A. A) 587 × 108 miles B. B) 587 × 1010 miles C. C) 587 × 10-10 miles D. D) 585 × 1012 miles E. E) 587 × 10-12 miles | D. D) 585 × 1012 miles | The distance of the light travels in 100 years is:
5,850,000,000,000 × 100 miles.
= 585,000,000,000,000 miles.
= 585 × 1012 miles.
The answer is (D) | astronomy | physics |
mmlu_aux_train_7068 | mmlu_aux_train | In a few years,you might be able to speak Chinese,Korean,Japanese,French,and English-and all at the same time. This sounds incredible,but Alex Waibel,a computer science professor at US's Car-negie Mellon University (CMU) and Germany's University of Karlsruhe,announced last week that it may soon be reality. He and his t... | C. Muscle Translators can translate what you think into speech if you just move your mouth. | college_computer_science | computer_science | ||
NLP4Education_736 | NLP4Education | Which of the following is/are true about fuzzing with sanitizers?
A. Some fuzzers use fork servers to reduce sanitizer overhead.
B. ASAN instrumentation has a negligible startup overhead.
C. Sanitizers always reduce execution speed but never affect bug visibility during fuzzing.
D. All sanitizers can be safely enabled ... | A. Some fuzzers use fork servers to reduce sanitizer overhead. | computer_security | computer_science | ||
aquarat_5979 | deepmind/aqua_rat | A train covers a distance of 12 km in 10 min. If it takes 11 sec to pass a telegraph post, then the length of the train is? | A. 298 B. 220 C. 120 D. 776 E. 991 | B. 220 | Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 11
= 220 m.
Answer:B | high_school_physics | physics |
mmlu_aux_train_9509 | mmlu_aux_train | A New Zealand volcano _ for more than a century has erupted,sending up ash clouds,disturbing flights and closing roads. Mount Tongariro, one of three volcanoes in the centre of the North Island, became active just before midnight local time, with reports of loud explosions,pouting rocks and steam. The 1, 978m peak is i... | B. Road block. | astronomy | physics | ||
math_1523 | math_mc | Find the least positive four-digit solution to the following system of congruences. \begin{align*}
7x &\equiv 21 \pmod{14} \\
2x+13 &\equiv 16 \pmod{9} \\
-2x+1 &\equiv x \pmod{25} \\
\end{align*} | D | math_Number Theory | mathematics | ||
mmlu_aux_train_2946 | mmlu_aux_train | Johnny wakes up early this morning. He is so happy. Today Daddy is taking him to the aquarium. Johnny wants to see blue fish, red fish, yellow fish, and green fish. He also wants to see really big fish. Daddy and Johnny are at the aquarium. "Look!" Johnny says. "There's a big red fish!" The fish swims away. A small ... | A. the blue fish. | high_school_biology | biology | ||
aquarat_37209 | deepmind/aqua_rat | Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 yrs of age. Assumptions: 1) There are unemployed youth in India who needs monetary support. 2) The government has sufficient funds to provide allowance to all unemployed youth. | A. Only assumption I is implicit B. Only assumption II is implicit C. Either I or II is implicit D. Neither I nor II is implicit E. Both I and II are implicit | A. Only assumption I is implicit | I directly follows from the statement and so is implicit. Also, the statement is a suggestion and does not tell about a government policy or its position of funds. So, II is not implicit.
A | formal_logic | mathematics |
math_287 | math_mc | A lattice point is a point whose coordinates are both integers. How many lattice points are on the boundary or inside the region bounded by $y=|x|$ and $y=-x^2+6$? | A | math_Algebra | mathematics | ||
aquarat_68827 | deepmind/aqua_rat | emblem is coded as 216;
crude is coded as 125
Cricket will be ? | A. 243 B. 143 C. 343 D. 383 E. 393 | C. 343 | coding follows (no. of letters)^3
emblem = 216 = 6^3
crude = 125 = 5^3
Cricket = 7^3 =343
ANSWER:C | formal_logic | mathematics |
NLP4Education_700 | NLP4Education | What is/are the goal/s of compartmentalization?
A. To isolate faults to individual (ideally small) components.
B. To make faults more severe as the surrounding code is smaller.
C. To increase code complexity and coupling between modules.
D. To maximize performance by ignoring separation of components. | A. To isolate faults to individual (ideally small) components. | college_computer_science | computer_science | ||
math_693 | math_mc | Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction. | A | math_Counting & Probability | mathematics | ||
pythonio_550 | pythonio-mc | Program:
def jacobsthal_num(n):
dp = [0] * (n + 1)
dp[0] = 0
dp[1] = 1
for i in range(2, n+1):
dp[i] = dp[i - 1] + 2 * dp[i - 2]
return dp[n]
Input:
jacobsthal_num(5)
Output: | A | code | computer_science | ||
allenai/sciq_1552 | allenai/sciq | What two element makes up a hyrdocarbon?
A. helium and carbon
B. carbon and hydrogen
C. nitrogen and carbon
D. hydrogen and carbonite | B. carbon and hydrogen | The simplest organic compounds are hydrocarbons and are composed of carbon and hydrogen. | high_school_chemistry | chemistry | |
mmlu_aux_train_97470 | mmlu_aux_train | The population of zebras is stagnant due to a lack of new baby zebras, what will happen over time to the community without support?
A. sadness
B. resurgence
C. shrinkage
D. regrowth | C. shrinkage | high_school_biology | biology | ||
math_1271 | math_mc | Square $ABCD$ is inscribed in the region bound by the parabola $y = x^2 - 8x + 12$ and the $x$-axis, as shown below. Find the area of square $ABCD.$
[asy]
unitsize(0.8 cm);
real parab (real x) {
return(x^2 - 8*x + 12);
}
pair A, B, C, D;
real x = -1 + sqrt(5);
A = (4 - x,0);
B = (4 + x,0);
C = (4 + x,-2*x);
D = ... | D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_11105 | allenai/sciq | What type of shape does sodium chloride have?
A. round
B. cubic
C. trianguler
D. oblong | B. cubic | Sodium chloride crystals are cubic in shape. Other ionic compounds may have crystals with different shapes. | college_chemistry | chemistry | |
allenai/sciq_3827 | allenai/sciq | What is produced when a base is dissolved in water?
A. alkaline ions
B. hydroxide ions
C. synthesis ions
D. ingredient ions | B. hydroxide ions | Acids are ionic compounds that produce positively charged hydrogen ions (H + ) when dissolved in water. Acids taste sour and react with metals. Bases are ionic compounds that produce negatively charged hydroxide ions (OH - ) when dissolved in water. Bases taste bitter and do not react with metals. Examples of acids are... | high_school_chemistry | chemistry | |
NLP4Education_755 | NLP4Education | Consider an RSA encryption where the public key is published as $(m, e) = (35, 11)$. Which one of the following numbers is a valid decoding exponent?
A. 11
B. 7
C. 5
D. 17 | A. 11 | computer_security | computer_science | ||
mmlu_aux_train_77684 | mmlu_aux_train | The wolves are very hungry. They go out to look for food. There are many sheep ( ) near the hill( ). There are also a few sheepdogs with them. The wolves think of an idea. They speak to the sheepdogs," You are like us and we are brothers. But we have a very different life. We do what we like, and you must work for m... | C. they are hungry | high_school_computer_science | computer_science | ||
mmlu_aux_train_2778 | mmlu_aux_train | When fresh water and salt water meet in an estuary, the salt water typically flows underneath the fresh water because the salt water is denser. What effect does this most likely have on the nutrients concentrated in the fresh water?
A. They are kept close to the shore.
B. They are spread out from the shore.
C. They ar... | B. They are spread out from the shore. | high_school_biology | biology | ||
math_111 | math_mc | Suppose $f(x),g(x),h(x)$ are all linear functions, and $j(x)$ and $k(x)$ are defined by $$j(x) = \max\{f(x),g(x),h(x)\},$$$$k(x) = \min\{f(x),g(x),h(x)\}.$$This means that, for each $x$, we define $j(x)$ to be equal to either $f(x),$ $g(x),$ or $h(x),$ whichever is greatest; similarly, $k(x)$ is the least of these thre... | A | math_Algebra | mathematics | ||
mmlu_aux_train_64960 | mmlu_aux_train | Every now and then we hear about an event that has taken place. This information helps us prepare ourselves for any problem in the future. Current affairs serve different purposes for different people. Theses days, the importance of current affairs has risen. Most people focus on certain areas of information accordin... | C. Entertainment. | high_school_computer_science | computer_science | ||
aquarat_50733 | deepmind/aqua_rat | If PINTU is coded as 79523 in a certain code language, how would you code MUMBO in the same language? | A. 43426 B. 14236 C. 13436 D. 14263 E. 15263 | A. 43426 | 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...MUMBO is 43426...
ANSWER:A | formal_logic | mathematics |
pythonio_285 | pythonio-mc | Program:
def nth_nums(nums,n):
nth_nums = list(map(lambda x: x ** n, nums))
return nth_nums
Input:
nth_nums([1, 2, 3, 4, 5, 6, 7, 8, 9, 10],2)
Output: | A | code | computer_science | ||
math_1833 | math_mc | The difference when the product of 4 and a number is subtracted from 16 is greater than 10. How many positive integers satisfy the given conditions? | D | math_Prealgebra | mathematics | ||
allenai/sciq_1742 | allenai/sciq | Chemical reactions are typically written to imply that they proceed in one direction - if they can occur in either direction, they are considered what?
A. observable
B. reversible
C. singular
D. reactive | B. reversible | A chemical reaction is usually written in a way that suggests it proceeds in one direction, the direction in which we read, but all chemical reactions are reversible, and both the forward and reverse reaction occur to one degree or another depending on conditions. In a chemical equilibrium, the forward and reverse reac... | high_school_chemistry | chemistry | |
allenai/sciq_6859 | allenai/sciq | The magnitude of the wave function at a particular point in space is proportional to what property of the wave at that point?
A. frequency
B. amplitude
C. Sounding
D. voltage | B. amplitude | The magnitude of the wave function at a particular point in space is proportional to the amplitude of the wave at that point. Many wave functions are complex functions, which is a mathematical term indicating that they contain. | college_physics | physics | |
math_1946 | math_mc | How many interior diagonals does an icosahedron have? (An $\emph{icosahedron}$ is a 3-dimensional figure with 20 triangular faces and 12 vertices, with 5 faces meeting at each vertex. An $\emph{interior}$ diagonal is a segment connecting two vertices which do not lie on a common face.) | C | math_Prealgebra | mathematics | ||
NLP4Education_324 | NLP4Education | Church booleans are a representation of booleans in the lambda calculus. The Church encoding of true and false are functions of two parameters: Church encoding of tru: t => f => t Church encoding of fls: t => f => f What should replace ??? so that the following function computes not(b and c)? b => c => b ??? (not b)
A.... | B. (not c) | college_computer_science | computer_science | ||
mmlu_aux_train_68675 | mmlu_aux_train | "Tom? Are you in bed yet?" called Mrs White. There was no answer. Mrs White put down her book and went to her 14-year-old son's room. Tom was sitting in front of a bright computer screen on which a colourful dragon jumped and shouted. "Oh, Tom! You're still playing on that computer. You must stop now. It's half past el... | A. playing computer games in' his bedroom | high_school_computer_science | computer_science | ||
math_679 | math_mc | Club Truncator is in a soccer league with six other teams, each of which it plays once. In any of its 6 matches, the probabilities that Club Truncator will win, lose, or tie are each $\frac {1}{3}$. The probability that Club Truncator will finish the season with more wins than losses is $\frac {m}{n}$, where $m$ and $n... | B | math_Counting & Probability | mathematics | ||
math_1596 | math_mc | Let $a, b, c,$ and $d$ be positive integers such that $\gcd(a, b)=24$, $\gcd(b, c)=36$, $\gcd(c, d)=54$, and $70<\gcd(d, a)<100$. Which of the following must be a divisor of $a$?
$\textbf{(A)} \text{ 5} \qquad \textbf{(B)} \text{ 7} \qquad \textbf{(C)} \text{ 11} \qquad \textbf{(D)} \text{ 13} \qquad \textbf{(E)} \text... | C | math_Number Theory | mathematics | ||
mmlu_aux_train_17301 | mmlu_aux_train | A sixth of undergraduates in Beijing this year have registered at driving school. The students, mostly from majors such as business management or international trade, will finish their driving courses within 20 days or so. Training costs have dropped to 2, 600 yuan for students, according to the Haidian Driving School ... | B. Many undergraduates | high_school_statistics | mathematics | ||
NLP4Education_365 | NLP4Education | Tick the \emph{wrong} assertion concerning 3G.
A. In 3G, the network is authenticated to the phone.
B. The integrity of 3G messages is well protected.
C. In 3G, there is a counter to protect against replay attacks.
D. 3G uses f8 for encryption. | A. In 3G, the network is authenticated to the phone. | computer_security | computer_science | ||
math_1392 | math_mc | A polynomial product of the form
\[(1 - z)^{b_1} (1 - z^2)^{b_2} (1 - z^3)^{b_3} (1 - z^4)^{b_4} (1 - z^5)^{b_5} \dotsm (1 - z^{32})^{b_{32}},\]where the $b_k$ are positive integers, has the surprising property that if we multiply it out and discard all terms involving $z$ to a power larger than 32, what is left is jus... | A | math_Intermediate Algebra | mathematics | ||
allenai/sciq_4008 | allenai/sciq | Most scientists think that ordinary matter is less than half of the total matter in the universe; the remaining part includes what mysterious entity?
A. dark matter
B. mystery matter
C. magic matter
D. cold matter | A. dark matter | Most scientists who study dark matter think it is a combination. Ordinary matter is part of it. That is mixed with some kind of matter that we haven’t discovered yet. Most scientists think that ordinary matter is less than half of the total matter in the universe. | astronomy | physics | |
mmlu_aux_train_8068 | mmlu_aux_train | Sleeping in is one of the best parts of the weekend. After a long, exhausting work week, sometimes all you want to do is sleep. _ Now you can finally catch up on your sleep. Except you can't. When you open your eyes Saturday morning, it's still early. If this were a weekday, you'd be up before your alarm. So what's the... | C. Your body clock still works on weekends. | college_biology | biology | ||
NLP4Education_559 | NLP4Education | Select \emph{incorrect} statement. The exhaustive search
A. can be used to find a secret key of AES.
B. is a brute force attack.
C. is not applicable against perfectly secure cipher.
D. runs in time polynomial in the length of the key. | D. runs in time polynomial in the length of the key. | computer_security | computer_science | ||
aquarat_59782 | deepmind/aqua_rat | How many liters of pure alcohol is in a 5 liter bottle where the alcohol is at 30 percent? | A. 2.5 B. 2 C. 1 D. 3 E. 1.5 | E. 1.5 | 5/10 = .5
.5 x 3 = 1.5
Answer is E | high_school_chemistry | chemistry |
aquarat_58952 | deepmind/aqua_rat | What is the maximum number of points that 10 circles of different radii intersect? | A. 24 B. 26 C. 33 D. 90 E. 100 | D. 90 | the maximum number of points that two circles intersect is two.
therefore, each of these 10 circles intersect two point with each of the other 9 circles.
as a consequence, the number of these points is equal to two times the number of combination of the 10 circles.
2∗(10!)/(2!∗10!)=90
Answer: D | college_mathematics | mathematics |
pythonio_233 | pythonio-mc | Program:
def reverse_words(s):
return ' '.join(reversed(s.split()))
Input:
reverse_words("java language")
Output: | C | code | computer_science | ||
NLP4Education_601 | NLP4Education | Tick the \emph{incorrect} assertion. For a cipher $C$, decorrelation theory says that \ldots
A. A decorrelation $0$ of order $1$ means perfect secrecy when used once.
B. $\mathsf{BestAdv}_n(C,C^\ast)=\frac{1}{2}\mathsf{Dec}^n_{\left|\left|\cdot\right|\right|_a}(C)$.
C. A decorrelation $0$ of order $1$ always protects a... | C. A decorrelation $0$ of order $1$ always protects against linear cryptanalysis. | computer_security | computer_science | ||
mmlu_aux_train_40708 | mmlu_aux_train | Strange things happen when you travel, because the earth is divided into twenty-four zones. The time difference between two zones is one hour. You can have days with more than twenty-four hours and days with fewer than twenty- four hours. You can have weeks with more than seven days and weeks with fewer than seven days... | C. a day has more or fewer than twenty-four hours, | high_school_physics | physics | ||
math_1616 | math_mc | Cameron writes down the smallest positive multiple of 20 that is a perfect square, the smallest positive multiple of 20 that is a perfect cube, and all the multiples of 20 between them. How many integers are in Cameron's list? | D | math_Number Theory | mathematics | ||
allenai/sciq_6153 | allenai/sciq | When water is heated by magma and makes it's way to the surface what is created?
A. geyser
B. eruption
C. trough
D. volcanic | A. geyser | Water works its way through porous rocks or soil. Sometimes this water is heated by nearby magma. If the water makes its way to the surface, it forms a hot spring or a geyser. | earth_science | earth_science | |
allenai/sciq_6749 | allenai/sciq | Limestone is insoluble in water, so what can dissolve it?
A. dioxide
B. calcium
C. acid
D. oxygen | C. acid | An element is a substance that cannot be broken down into chemically simpler components. Compounds can be broken down into simpler substances. | high_school_chemistry | chemistry | |
NLP4Education_795 | NLP4Education | Let $S_1$ be a random variable taking values in $\{a,b\}$ with probability $p_{S_1}(a) = \frac{1}{4}$ and $p_{S_1}(b) = \frac{3}{4}$. Let $S_2$ be a random variable, independent of $S_1$, taking values in $\{c,d\}$ with probability $p_{S_2}(c) = q$ and $p_{S_2}(d) = 1-q$, for some $q\in[0,1]$. Let $\Gamma_H$ be the bin... | A. Always true for all $q \in [0,1]$ | machine_learning | computer_science | ||
pythonio_446 | pythonio-mc | Program:
def count_range_in_list(li, min, max):
ctr = 0
for x in li:
if min <= x <= max:
ctr += 1
return ctr
Input:
count_range_in_list([10,20,30,40,40,40,70,80,99],40,100)
Output: | A | code | computer_science | ||
pythonio_532 | pythonio-mc | Program:
import math
def area_tetrahedron(side):
area = math.sqrt(3)*(side*side)
return area
Input:
area_tetrahedron(20)
Output: | A | code | computer_science | ||
pythonio_171 | pythonio-mc | Program:
def count_no (A,N,L,R):
count = 0
for i in range (L,R + 1):
if (i % A != 0):
count += 1
if (count == N):
break
return (i)
Input:
count_no(5,10,4,20)
Output: | D | code | computer_science | ||
mmlu_aux_train_59614 | mmlu_aux_train | Car companies are developing vehicles that will plug into electric sockets,just like many laptops,digital cameras,cell phones and Mp4 do.Called"plug-in vehicles",these cars will get most of their power from electricity. Their drivers won't have to stop at gas stations as often as usual. The technology is more than just... | D. the batteries | electrical_engineering | engineering | ||
allenai/sciq_11156 | allenai/sciq | What part of an atom is positive due to the presence of positively charged protons?
A. nucleus
B. Electron
C. Proton
D. Neutron | A. nucleus | Charge Carried by Electrons and Protons Franklin wrote in his letters and books that he could see the effects of electric charge but did not understand what caused the phenomenon. Today we have the advantage of knowing that normal matter is made of atoms, and that atoms contain positive and negative charges, usually in... | high_school_physics | physics | |
aquarat_87237 | deepmind/aqua_rat | You choose at random ten points inside of a circle, so that no two of them are
on any diameter. What is the probability that the circle has some diameter, so that exactly
five points are on one side and exactly five points are on the other? | A. 63/256 B. 1/2 C. 2/3 D. 5/6 E. 1 | E. 1 | The randomness is a red herring: There is some diameter dividing the points 5 - 5
no matter what!
Note that none of the points can be in the center of the circle. (Then any diameter going
through any of the points would contain two points.) Choose any diameter. If five points
are on either side, we're done. Otherwise, ... | college_mathematics | mathematics |
allenai/sciq_1190 | allenai/sciq | What type of relationship is it when one variable increases the other variable decreases?
A. regression
B. curve
C. inverse
D. divergence | C. inverse | The relationship between mass and acceleration is different. It is an inverse relationship. In an inverse relationship, when one variable increases, the other variable decreases. The greater the mass of an object, the less it will accelerate when a given force is applied. For example, doubling the mass of an object res... | high_school_statistics | mathematics | |
math_1982 | math_mc | A basement has a 24-foot by 32-foot rectangular floor. The basement is flooded with water to a depth of 18 inches. Three pumps are used to pump the water out of the basement. Each pump will pump 8 gallons of water per minute. If a cubic foot of water contains 7.5 gallons, how many minutes will it take to pump all o... | C | math_Prealgebra | mathematics | ||
allenai/sciq_6401 | allenai/sciq | Chemical formulas for ionic compounds are called what?
A. ionic formulas
B. velocity formulas
C. electronic formulas
D. magnetic formulas | A. ionic formulas | Chemical formulas for ionic compounds are called ionic formulas. A proper ionic formula has a cation and an anion in it; an ionic compound is never formed between two cations only or two anions only. The key to writing proper ionic formulas is simple: the total positive charge must balance the total negative charge. Be... | high_school_chemistry | chemistry | |
aquarat_94894 | deepmind/aqua_rat | A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales? | A. 8% B. 15% C. 25% D. 52% E. 56% | C. 25% | (9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.
Answer C | college_mathematics | mathematics |
mmlu_aux_train_15264 | mmlu_aux_train | Ask just about any college student you know,and he is likely to tell you that he is a member of facebook.com.Many students say they check their e-mail.It's so popular "facelooking"has become a verb "Everywhere everyone is doing it,"college student Katie Silverman said,"It's like everyone's center of life." Facebook is... | C. the popularity of Facebook with students | high_school_computer_science | computer_science | ||
math_470 | math_mc | Alex needs to catch a train. The train arrives randomly some time between 1:00 and 2:00, waits for 10 minutes, and then leaves. If Alex also arrives randomly between 1:00 and 2:00, what is the probability that the train will be there when Alex arrives? | B | math_Counting & Probability | mathematics | ||
math_2101 | math_mc | Compute
\[\frac{1}{2^{1990}} \sum_{n = 0}^{995} (-3)^n \binom{1990}{2n}.\] | D | math_Precalculus | mathematics | ||
aquarat_10593 | deepmind/aqua_rat | If Y is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of Y? | A. 162 B. 54 C. 72 D. 51 E. 50!+2 | A. 162 | In fact 51=3*17 IS a factor of 50!.
The smallest positive integer that is NOT prime and NOT a factor of 50! is 106=2*53. The sum of the factors of 106 is 162.
Answer: A. | college_mathematics | mathematics |
mmlu_aux_train_90092 | mmlu_aux_train | You know how much your telephone has changed over the past 10 years? Your car will change even more than that in the next 10 years. One of the biggest changes is that cars will drive themselves. "We certainly have the technology for it now."says Andrew Poliak of automotive technology supplier QNX."We expect self-drivin... | C. There will be more self-driving cars in use in the future. | high_school_computer_science | computer_science | ||
math_1606 | math_mc | How many of the divisors of $8!$ are larger than $7!$? | A | math_Number Theory | mathematics | ||
math_1430 | math_mc | Let
\[x^5 - x^2 - x - 1 = p_1(x) p_2(x) \dotsm p_k(x),\]where each non-constant polynomial $p_i(x)$ is monic with integer coefficients, and cannot be factored further over the integers. Compute $p_1(2) + p_2(2) + \dots + p_k(2).$ | C | math_Intermediate Algebra | mathematics | ||
aquarat_79585 | deepmind/aqua_rat | T(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point T? | A. (1, 2). B. (2, 0). C. (0, -2). D. (-2, 0). E. (2, 2). | D. (-2, 0). | A quick glance at the options, T(x, y) and we can see that A and E do not satisfy the circle equation. Now we are left with B, C and D. Now B and C do not satisfy the line equation. So we are just left with D. And thats the answer=D | college_mathematics | mathematics |
aquarat_92319 | deepmind/aqua_rat | Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesd... | A. 15 B. 20 C. 30 D. 45 E. 60 | A. 15 | 30% of students are assigned to Monday and Wednesday = 0.3*200 = 60
70% of students are assigned to Tuesday and Thursday = 0.7*200 = 140
60% of students prefer Monday and Wednesday = 0.6*200 = 120
40% of students prefer Tuesday and Thursday = 0.4*200 = 80
Since we need theleastnumber of students who will not be assigne... | college_mathematics | mathematics |
math_917 | math_mc | A solid right prism $ABCDEF$ has a height of $16,$ as shown. Also, its bases are equilateral triangles with side length $12.$ Points $X,$ $Y,$ and $Z$ are the midpoints of edges $AC,$ $BC,$ and $DC,$ respectively. A part of the prism above is sliced off with a straight cut through points $X,$ $Y,$ and $Z.$ Determine th... | A | math_Geometry | mathematics | ||
math_380 | math_mc | My friend and I both have the same math homework one day. I work at a rate of $p$ problems per hour and it takes me $t$ hours to finish my homework. My friend works at a rate of $2p-4$ problems per hour and it only takes him $t-2$ hours to finish his homework. Given that $p$ and $t$ are positive whole numbers and I do ... | B | math_Algebra | mathematics | ||
allenai/sciq_8489 | allenai/sciq | What is the term for a fold that arches upward?
A. tailslide
B. underlain
C. tailplane
D. anticline | D. anticline | An anticline is a fold that arches upward. The rocks dip away from the center of the fold ( Figure below ). The oldest rocks are found at the center of an anticline. The youngest rocks are draped over them at the top of the structure. When upward folding rocks form a circular structure, that structure is called a dome ... | college_geology | earth_science | |
math_1443 | math_mc | Determine all real numbers $ a$ such that the inequality $ |x^2 + 2ax + 3a|\le2$ has exactly one solution in $ x$. | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_54582 | mmlu_aux_train | Researchers in the field of psychology have found that one of the best ways to make an important decision, such as choosing a university to attend or a business to invest in, involves the use of a decision worksheet. Psychologists who study optimization compare the actual decision made by people to theoretical ideal ... | A. A tool to assist in making complex decisions. | formal_logic | mathematics | ||
math_1522 | math_mc | A point whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola $x^2 - y^2 = 2000^2$?
| D | math_Number Theory | mathematics | ||
allenai/sciq_3299 | allenai/sciq | How many valence electrons does a sodium atom have ?
A. two
B. three
C. one
D. six | C. one | A: Any element in group 1 has just one valence electron. Examples include hydrogen (H), lithium (Li), and sodium (Na). Any element in group 18 has eight valence electrons (except for helium, which has a total of just two electrons). Examples include neon (Ne), argon (Ar), and krypton (Kr). Oxygen, like all the other el... | high_school_chemistry | chemistry | |
math_516 | math_mc | Moving only south and east along the line segments, how many paths are there from $A$ to $B$? [asy]
import olympiad; size(250); defaultpen(linewidth(0.8)); dotfactor=4;
for(int i = 0; i <= 9; ++i)
if (i!=4 && i !=5)
draw((2i,0)--(2i,3));
for(int j = 0; j <= 3; ++j)
draw((0,j)--(18,j));
draw((2*4,0)--(2*4,1));
draw(... | C | math_Counting & Probability | mathematics | ||
allenai/sciq_2111 | allenai/sciq | What happens when a sodium atom loses an electron?
A. becomes calcium
B. becomes sodium ion
C. combines with hydrogen
D. gains a proton | B. becomes sodium ion | By losing an electron, the sodium atom becomes a sodium ion. It now has one less electron than protons, giving it a charge of +1. Positive ions such as sodium are given the same name as the element. The chemical symbol has a plus sign to distinguish the ion from an atom of the element. The symbol for a sodium ion is Na... | high_school_chemistry | chemistry | |
aquarat_27405 | deepmind/aqua_rat | Question: What is the remainder when Q=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144? | A. 0 B. 25 C. 49 D. 81 E. 100 | D. 81 | 144 =12 *12
(1!)^3=1
2!=2, therefore (2!)^3=2*2*2=8
3!=6, therefore (3!)^3=6*6*6=216
4!=24 therefore (4!)^3= 24*24*24 which is completely divisible by 144
thus from 4! onwards each term will be divisible by 144 and will leave the remainder of 0
now the remainder when Q=(1!)^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided... | college_mathematics | mathematics |
math_1931 | math_mc | If altitude $CD$ is $\sqrt3$ centimeters, what is the number of square centimeters in the area of $\Delta ABC$?
[asy] import olympiad; pair A,B,C,D; A = (0,sqrt(3)); B = (1,0);
C = foot(A,B,-B); D = foot(C,A,B); draw(A--B--C--A); draw(C--D,dashed);
label("$30^{\circ}$",A-(0.05,0.4),E);
label("$A$",A,N);label("$B$",B,E... | D | math_Prealgebra | mathematics | ||
allenai/sciq_7863 | allenai/sciq | Every object is attracted to every other object by what force?
A. magnetism
B. weight
C. gravity
D. pheromones | C. gravity | Every object is attracted to every other object by gravity. The force of gravity between two objects depends on the mass of the objects. It also depends on how far apart the objects are. When you are sitting next to your dog, there is a gravitational force between the two of you. That force is far too weak for you to n... | conceptual_physics | physics | |
mmlu_aux_train_98485 | mmlu_aux_train | A thermal conductor is made of
A. often metallic
B. types of rubber
C. types of branches
D. electrodes | A. often metallic | high_school_physics | physics | ||
allenai/sciq_4153 | allenai/sciq | What are four children born at one birth called?
A. quadruplets
B. twins
C. kittens
D. triplets | A. quadruplets | QUADruplets are four children born at one birth. | high_school_biology | biology | |
pythonio_73 | pythonio-mc | Program:
def topbottom_surfacearea(r):
toporbottomarea=3.1415*r*r
return toporbottomarea
Input:
topbottom_surfacearea(5)
Output: | C | code | computer_science | ||
math_950 | math_mc | Trapezoid $ABCD$ has sides $AB=92$, $BC=50$, $CD=19$, and $AD=70$, with $AB$ parallel to $CD$. A circle with center $P$ on $AB$ is drawn tangent to $BC$ and $AD$. Given that $AP=\frac mn$, where $m$ and $n$ are relatively prime positive integers, find $m+n$.
| A | math_Geometry | mathematics | ||
pythonio_900 | pythonio-mc | Program:
from heapq import merge
def combine_lists(num1,num2):
combine_lists=list(merge(num1, num2))
return combine_lists
Input:
combine_lists([1, 3, 5, 6, 8, 9], [2, 5, 7, 11])
Output: | D | code | computer_science | ||
pythonio_146 | pythonio-mc | Program:
def sum_digits(n):
if n == 0:
return 0
else:
return n % 10 + sum_digits(int(n / 10))
Input:
sum_digits(12)
Output: | C | code | computer_science | ||
aquarat_6583 | deepmind/aqua_rat | You need to unlock a secret code using following clues,
Can you?
Here you have the clues:
Clue-1 : 0 7 9 (One of the numbers is correct and is placed in its correct position)
Clue-2 : 0 3 2 (Nothing is correct)
Clue-3 : 1 0 8 (Two numbers are correct but not placed at its correct position.)
Clue-4 : 9 2 6 (One number i... | A. 819 B. 918 C. 198 D. 189 E. 891 | A. 819 | 0 7 9 : 9 is placed correctly
* 0 3 2 : None of the numbers is in the code
* 1 0 8 : 1 and 8 are correct number of code but placed at wrong position
* 9 2 6 : Number 9 is there but placed at wrong position
* 6 7 8 : Number 8 is there but placed at wrong position
correct answer is A)819 | formal_logic | mathematics |
math_21 | math_mc | What is the least positive integer value of $x$ such that $(2x)^2 + 2\cdot 37\cdot 2x + 37^2$ is a multiple of 47? | B | math_Algebra | mathematics | ||
allenai/sciq_6952 | allenai/sciq | Liquids that mix with each other in all proportions are said to be miscible, maning they have infinite mutual what?
A. solubility
B. salinity
C. viscosity
D. insolubility | A. solubility | Solutions of Liquids in Liquids We know that some liquids mix with each other in all proportions; in other words, they have infinite mutual solubility and are said to be miscible. Ethanol, sulfuric acid, and ethylene glycol (popular for use as antifreeze, pictured in Figure 11.14) are examples of liquids that are compl... | high_school_chemistry | chemistry | |
aquarat_60568 | deepmind/aqua_rat | There are eight 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 1 sheep B. 4 leopard and 7 sheep C. 6 leopard and 4 sheep D. 5 leopard and 1 sheep E. 2 leopard and 5 sheep | A. 7 leopard and 1 sheep | A
7 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 |
allenai/sciq_6257 | allenai/sciq | What device is used to stop a current in a circuit?
A. a valve
B. a mirror
C. a signal
D. a switch | D. a switch | Understand current as it passes through a series circuit. | electrical_engineering | engineering | |
pythonio_88 | pythonio-mc | Program:
import re
def fill_spaces(text):
return (re.sub("[ ,.]", ":", text))
Input:
fill_spaces('Boult Curve Wireless Neckband')
Output: | A | code | computer_science |
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