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_27140 | mmlu_aux_train | The moment a college student arrives on campus, he or she _ credit card offers. Advertisements for student credit cards are everywhere: in bags at the bookstore, in the campus newspaper, in your regular mailbox, in the residence halls. With so many college students graduating with large amounts of credit card debt (fig... | A. A college freshman should be careful when choosing a credit card. | college_mathematics | mathematics | ||
math_665 | math_mc | Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different license plate combinations are possible if exactly one letter is repeated exactly once, but digits cannot be repeated? [asy]
size(150);
draw((0,0)--(0,5)--(10,5)--(10,0)--cycle);
label("\Huge{CHIC ... | D | math_Counting & Probability | mathematics | ||
math_1623 | math_mc | If $n = 2^{10} \cdot 3^{14} \cdot 5^{8}$, how many of the natural-number factors of $n$ are multiples of 150? | D | math_Number Theory | mathematics | ||
mmlu_aux_train_99738 | mmlu_aux_train | Plate shifting likely directly created
A. oxygen
B. the Alps
C. human life
D. ocean spray | B. the Alps | college_earth_science | earth_science | ||
allenai/sciq_8076 | allenai/sciq | What type of seismic waves do the most damage?
A. gravity
B. tension
C. surface
D. sunlight | C. surface | The surface seismic waves do the most damage because they only travel along the surface of the ground. | earth_science | earth_science | |
math_1318 | math_mc | The parabolas $y = (x + 1)^2$ and $x + 4 = (y - 3)^2$ intersect at four points. All four points lie on a circle of radius $r.$ Find $r^2.$ | C | math_Intermediate Algebra | mathematics | ||
math_1164 | math_mc | Find the number of ordered 17-tuples $(a_1, a_2, a_3, \dots, a_{17})$ of integers, such that the square of any number in the 17-tuple is equal to the sum of the other 16 numbers. | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_96292 | mmlu_aux_train | A computer needs what to be functional
A. money
B. positive ions
C. a mommy
D. youtube | B. positive ions | high_school_computer_science | computer_science | ||
mmlu_aux_train_30807 | mmlu_aux_train | Password strength has been a topic about the Internet lately. I have seen lots of clever methods for generating and remembering strong passwords. Some are better than others, but in my opinion , none are adequate . Here's the problem : it doesn't matter how strong your passwords are if you use the same one on multiple ... | D. the master password only | computer_security | computer_science | ||
aquarat_35977 | deepmind/aqua_rat | what is the total number of factor of 16! | A. 4376 B. 5376 C. 6376 D. 7376 E. 8376 | B. 5376 | 16! = 2^15 * 3^6 * 5^3 * 7^2 * 11^1 * 13^1
total number of factors = (15+1)*(6+1)*(3+1)*(2+1)*(1+1)*(1+1) = 5376
ANSWER:B | college_mathematics | mathematics |
mmlu_aux_train_14809 | mmlu_aux_train | Across the globe, single parent homes are on the rise. In the US, the 2000 census showed 24.8 million, or nearly 24 percent of the nation's 105.5 million households, were traditional two-parent homes. By comparison, 9.8 million households, or 9 percent of all US households were headed by an adult raising a child alon... | A. UK. | high_school_statistics | mathematics | ||
allenai/sciq_4045 | allenai/sciq | The electrolysis of what substance produces hydrogen and oxygen gases
A. water
B. carbon dioxide
C. cholesterol
D. hydrocarbon | A. water | The electrolysis of water produces hydrogen and oxygen gases. The electrolytic cell consists of a pair of platinum electrodes immersed in water containing a small amount of an electrolyte, such as H 2 SO 4 . The electrolyte is necessary because pure water does not contain enough ions to effectively conduct a current. A... | high_school_chemistry | chemistry | |
mmlu_aux_train_80345 | mmlu_aux_train | One day, I had a bad toothache. I couldn't eat anything. So I went to see the dentist. " What's wrong with your teeth? " asked the dentist. " I have a toothache. " I told him. " Let me see your teeth ...... Um, there's a hole in one of the teeth. Do you eat a lot of sweet food? " The dentist asked me. " Yes, I do. I of... | B. She had a toothache. | high_school_biology | biology | ||
allenai/sciq_2350 | allenai/sciq | Quarks also have a different type of charge, called what?
A. spontaneous charge
B. color charge
C. pure charge
D. contrast charge | B. color charge | There are six types of quarks . In ordinary matter, virtually all quarks are of the types called up and down quarks. All quarks have mass, and they have an electric charge of either +2/3 or -1/3. For example, up quarks have a charge of +2/3, and down quarks have a charge of -1/3. Quarks also have a different type of ch... | college_physics | physics | |
allenai/sciq_8085 | allenai/sciq | What does a theory need to be supported by?
A. many observations
B. facts
C. peer reviewed journals
D. scientists | A. many observations | In science, a theory has been repeatedly shown to be true. A theory is supported by many observations. However, a theory may be disproved if conflicting data is discovered. Many important theories have been shown to be true by many observations and experiments and are extremely unlikely to be disproved. These include t... | formal_logic | mathematics | |
allenai/sciq_7437 | allenai/sciq | Water's very polar compound causes most solutes to do what?
A. repel
B. combine
C. dissolve
D. gel | C. dissolve | Many solutes dissolve in water because water is a very polar compound. | high_school_chemistry | chemistry | |
aquarat_16810 | deepmind/aqua_rat | Calculate the amount that an investor needs to be invest to earn $460 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 9% compounded semi-annually? | A. 7,000 B. 4,000 C. 6,000 D. 5,000 E. 8,000 | D. 5,000 | the approach is substitution,
our interest requirement is 460 after 12 months, 2 compounding period.
calculate the compound interest on each option and find out the one that yields 460 in 12 months
5,000 yielded $460
using the formula
A = P(1 + r/n)nt
hence answer is D | college_mathematics | mathematics |
math_390 | math_mc | If $f(x)=ax+b$ and $f^{-1}(x)=bx+a$ with $a$ and $b$ real, what is the value of $a+b$? | D | math_Algebra | mathematics | ||
math_388 | math_mc | Dr. Fu Manchu has a bank account that has an annual interest rate of 6 percent, but it compounds monthly. If this is equivalent to a bank account that compounds annually at a rate of $r$ percent, then what is $r$? (Give your answer to the nearest hundredth.) | D | math_Algebra | mathematics | ||
math_1997 | math_mc | For a list of five positive integers, none greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, $x$ and $x$ are the five integers, what is the value of $x$? | D | math_Prealgebra | mathematics | ||
math_410 | math_mc | The terms $x, x + 2, x + 4, \dots, x + 2n$ form an arithmetic sequence, with $x$ an integer. If each term of the sequence is cubed, the sum of the cubes is $-1197$. What is the value of $n$ if $n > 3$? | D | math_Algebra | mathematics | ||
mmlu_aux_train_87245 | mmlu_aux_train | The police use computers. They save all the information on the computer. So the police can often check the information. And they can also visit some websites and get more information to catch criminals on the Internet. Scientists today have computers for their work. They can do their work easily and quickly with ... | A. The police. | high_school_computer_science | computer_science | ||
mmlu_aux_train_93002 | mmlu_aux_train | A loaf of bread is baking in a pan in a 350° F oven. What would cause a burn to a hand the quickest because of its low specific heat?
A. the metal pan
B. the air in the oven
C. the surface of the bread
D. the outside of the oven door | A. the metal pan | high_school_chemistry | chemistry | ||
aquarat_91356 | deepmind/aqua_rat | Ben
ips a fair coin repeatedly. Given that Ben's first coin
ip is heads, compute the probability
Ben
ips two heads in a row before Ben
ips two tails in a row. | A. 2/3 B. 3/3 C. 1/3 D. 1/1 E. 2/2 | A. 2/3 | If Ben successfully
ips two heads in a row, then Ben must have
ipped the coin an
even number of times. If Ben successfully
ips two tails in a row, then he must have
ipped
the coin an odd number of times. However, the coin must have been
ipped at least twice. The
desired probability is therefore
(1/3)/(1/2)=2/3
correct ... | college_mathematics | mathematics |
pythonio_883 | pythonio-mc | Program:
def dealnnoy_num(n, m):
if (m == 0 or n == 0) :
return 1
return dealnnoy_num(m - 1, n) + dealnnoy_num(m - 1, n - 1) + dealnnoy_num(m, n - 1)
Input:
dealnnoy_num(3, 3)
Output: | B | code | computer_science | ||
NLP4Education_661 | NLP4Education | Let $X$ be a plaintext and $Y$ its ciphertext. Which statement is \textbf{not} equivalent to the others?
A. The encryption scheme provides perfect secrecy.
B. Only a quantum computer can retrieve $X$ given $Y$.
C. $X$ and $Y$ are statistically independent random variables.
D. The conditional entropy of $X$ given $Y$ is... | B. Only a quantum computer can retrieve $X$ given $Y$. | computer_security | computer_science | ||
aquarat_27278 | deepmind/aqua_rat | A committee that includes 9 members is about to be divided into 3 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member? | A. 10% B. 20% C. 25% D. 40% E. 50% | C. 25% | Michael is a member of one of the subcommittees.
P(Annie is on the same subcommittee) = 2/8 = 25%.
The answer is C. | college_mathematics | mathematics |
allenai/sciq_7708 | allenai/sciq | The ostwald process is the commercial method for producing what?
A. chlorine
B. citric acid
C. nitric acid
D. deoxyribonucleic acid | C. nitric acid | NaNO 3(s) + H 2 SO 4(l) ⎯⎯→ NaHSO 4(s) + HNO 3(g) The Ostwald process is the commercial method for producing nitric acid. This process involves the oxidation of ammonia to nitric oxide, NO; oxidation of nitric oxide to nitrogen dioxide, NO2; and further oxidation and hydration of nitrogen dioxide to form nitric acid: 4... | high_school_chemistry | chemistry | |
aquarat_28415 | deepmind/aqua_rat | A car traveled 300 meters from point A to point B at a speed of 6 meter per second. Then it took the same route and came back to point A at a speed of 2 meter per second. What is its average speed? | A. 2m/s B. 3m/s C. 4m/s D. 5m/s E. 6m/s | B. 3m/s | Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X6X2/8= 3. 'B' is the answer. | high_school_physics | physics |
pythonio_930 | pythonio-mc | Program:
import re
def split_list(text):
return (re.findall('[A-Z][^A-Z]*', text))
Input:
split_list("UpdateInTheGoEcoSystem")
Output: | B | code | computer_science | ||
allenai/sciq_3954 | allenai/sciq | Bond energy is an indication of the amount of energy needed for what to occur?
A. oxidation
B. chemical reaction
C. photosynthesis
D. physical reaction only | B. chemical reaction | Bond energy is an indication of the amount of energy needed for a chemical reaction. | high_school_chemistry | chemistry | |
math_1397 | math_mc | Let $x,$ $y,$ $z$ be real numbers such that $x + y + z = 5$ and $xy + xz + yz = 8.$ Find the largest possible value of $x.$ | D | math_Intermediate Algebra | mathematics | ||
aquarat_20886 | deepmind/aqua_rat | A chemical supply company has 60 liters of a 20% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? | A. 12 B. 15 C. 20 D. 24 E. 36 | E. 36 | 60 liters of a 20% HNO3 solution means HNO3 = 12 liters in 60 liters of the solution.
Now, let x be the pure HNO3 added.
As per question,
12 + x = 50% of (60 + x)
or x =36. Hence, E | high_school_chemistry | chemistry |
allenai/sciq_7115 | allenai/sciq | What is the si unit for electric current?
A. ohm
B. joule
C. ampere
D. planck | C. ampere | Electric current is a continuous flow of electric charges (electrons). Current is measured as the amount of charge that flows past a given point in a certain amount of time. The SI unit for electric current is the ampere (A), or amp. Electric current may flow in just one direction (direct current), or it may keep rever... | electrical_engineering | engineering | |
aquarat_5784 | deepmind/aqua_rat | Which is better investment?
(I) 7(1/2) % stock at 105 or
(II) 6(1/2) % at 94. | A. I B. II C. Both D. Cannot Determine E. Data Insufficient | A. I | Let the investment in each case be $ (105*94).
Case I : 7(1/2) 5 stock at 105:
On investing $ 105, income = $ (15/2).
On investing $ (105*94), income = $ [(15/2)*(1/105)*105*94]
= $705.
Case II : 6(1/2) % stock at 94:
On investing $ 94, income = $ (13/2).
On investing $ (105*94), income = $ [(13/2)*(1/94)*105*94]
= $ 6... | college_mathematics | mathematics |
allenai/sciq_4915 | allenai/sciq | What method plays a role in determining the approximate age of the earth and makes use of uranium?
A. radioactive dating
B. fuel dating
C. waste dating
D. carbon dating | A. radioactive dating | Things Great and Small Nuclear Decay Helps Explain Earth’s Hot Interior A puzzle created by radioactive dating of rocks is resolved by radioactive heating of Earth’s interior. This intriguing story is another example of how small-scale physics can explain large-scale phenomena. Radioactive dating plays a role in determ... | college_earth_science | earth_science | |
aquarat_17457 | deepmind/aqua_rat | There is a building of 100 floors
-If an egg drops from the Nth floor or above it will break.
-If it’s dropped from any floor below, it will not break.
You’re given 2 eggs.
Find N
How many drops you need to make? | A. 14 B. 22 C. 18 D. 25 sec E. 38 | A. 14 | A
14
This follows the below logic.
Say, the egg breaks at floor n we try to find out by going (N-1) till the first floor by doing linear search.
Say for example, I throw the egg from 10th floor, and it breaks, I wíll go to floor 1 to 9 to find out the floor..
Then I would try the same logic for every 10 floors thereby ... | college_mathematics | mathematics |
aquarat_59452 | deepmind/aqua_rat | Calculate the value of e from the below equation: e^3−25e+8=74 | A. 5 B. 3 C. 4 D. 6 E. 2 | D. 6 | Use elimination method to find the correct option. you find that of all the options 6 is the correct value for e
Answer: D | college_mathematics | mathematics |
math_1737 | math_mc | Given that $8^{-1} \equiv 85 \pmod{97}$, find $64^{-1} \pmod{97}$, as a residue modulo 97. (Give an answer between 0 and 96, inclusive.) | A | math_Number Theory | mathematics | ||
math_681 | math_mc | If Greg rolls four fair six-sided dice, what is the probability that he rolls more 1's than 6's? | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_56018 | mmlu_aux_train | Jack went to a barber's shop and had his hair cut, but when he came out, he was not happy with the result . When his friend Bob saw him, he laughed and said, "What has happened to your hair, Jack?" Jack said, "I tried a new barber's shop today, because I wasn't quite satisfied with my old one, but this one seems even w... | B. the barber hadn't cut his hair well | formal_logic | mathematics | ||
aquarat_27153 | deepmind/aqua_rat | If P = k^3 – k, where k and P are positive integers, and k is given by the expression k=(10x)n+54k=(10x)n+54, where x and n are positive integers, then what is the remainder when P is divided by 4 ? | A. 0 B. 1 C. 2 D. 3 E. cannot be determined | A. 0 | p=k^3-k
=k(k^2-1)
=(k-1)k(k+1)
as can be seen, p is a product of three consecutive integers. now k can be both even and odd.
now look into the given expression of k
k=(10x)n+54k=(10x)n+54
5454 will always be odd. and (10x)n(10x)n will always be even
thus k= even + odd =odd
Also, k =1 is not possible ( because p is a po... | college_mathematics | mathematics |
allenai/sciq_9193 | allenai/sciq | The age of a rock in years is its?
A. full age
B. absolute age
C. geological age
D. chemical age | B. absolute age | The age of a rock in years is its absolute age . Absolute ages are much different from relative ages. The way of determining them is different, too. Absolute ages are determined by radiometric methods, such as carbon-14 dating. These methods depend on radioactive decay. | college_earth_science | earth_science | |
allenai/sciq_7331 | allenai/sciq | In the periodic table, elements are arranged from left to right according to what property?
A. real mass
B. major mass
C. atomic mass
D. metallic mass | C. atomic mass | You can see how Mendeleev organized the elements in Figure below . From left to right across each row, elements are arranged by increasing atomic mass. Mendeleev discovered that if he placed eight elements in each row and then continued on to the next row, the columns of the table would contain elements with similar pr... | high_school_chemistry | chemistry | |
allenai/sciq_1293 | allenai/sciq | What is at the top of the mesosphere?
A. Troposphere
B. mesopause
C. Mesosphere
D. Stratosphere | B. mesopause | At the top of the mesosphere is the mesopause. Temperatures here are colder than anywhere else in the atmosphere. They are as low as -100° C (-212° F)! Nowhere on Earth’s surface is that cold. | college_earth_science | earth_science | |
mmlu_aux_train_4565 | mmlu_aux_train | Which is an example of a decomposer?
A. a hawk
B. a mouse
C. a flower
D. a mushroom | D. a mushroom | high_school_biology | biology | ||
math_577 | math_mc | The numbers $1, 2, 3, 4, 5, 6, 7,$ and $8$ are randomly written on the faces of a regular octahedron so that each face contains a different number. The probability that no two consecutive numbers, where $8$ and $1$ are considered to be consecutive, are written on faces that share an edge is $m/n,$ where $m$ and $n$ are... | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_2629 | mmlu_aux_train | Which of these is an important safety rule to follow when using an electrical device?
A. Wear an apron.
B. Keep work area dry.
C. Extinguish all flames.
D. Wear protective gloves. | B. Keep work area dry. | electrical_engineering | engineering | ||
math_1415 | math_mc | The equation \[\frac{x}{x+1} + \frac{x}{x+2} = kx\]has exactly two complex roots. Find all possible complex values for $k.$
Enter all the possible values, separated by commas. | B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_20001 | mmlu_aux_train | Dogs may not know exactly what you are doing especially when you're trying to figure out a square root or diagram a sentence. But according to a new study, dogs can understand what we're thinking and feeling by reading our facial expressions and body language and following our eyes. Researchers studied 29 dogs. The dog... | B. By reading their eye movements. | high_school_biology | biology | ||
allenai/sciq_9019 | allenai/sciq | What is idefined as the mass of a substance divided by its volume?
A. length
B. weight
C. density
D. height | C. density | The ideal gas law can also be used to determine the densities of gases. Density, recall, is defined as the mass of a substance divided by its volume:. | high_school_physics | physics | |
mmlu_aux_train_98156 | mmlu_aux_train | On June 1st, it's the first day of winter in
A. the sun
B. the Kepler belt
C. the southern hemisphere
D. the northern hemisphere | C. the southern hemisphere | astronomy | physics | ||
math_454 | math_mc | How many even three-digit integers have the property that their digits, read left to right, are in strictly increasing order (each digit is greater than the previous digit)? | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_27804 | mmlu_aux_train | A new genius in physics like Einstein will emerge , scientists say. But it may take a long time .After, more than 200 yeas separated Einstein from his nearest rival , Isaac Newton. Many physicists say the next Einstein hasn't been yet, or is a baby now. And researchers say there are many factors working against a... | D. explain why there won't be a new Einstein soon | conceptual_physics | physics | ||
allenai/sciq_2449 | allenai/sciq | What rate is generally higher for endotherms than for ectotherms?
A. mortality
B. respiration
C. metabolic
D. reproduction | C. metabolic | high_school_biology | biology | ||
pythonio_932 | pythonio-mc | Program:
import math
def get_First_Set_Bit_Pos(n):
return math.log2(n&-n)+1
Input:
get_First_Set_Bit_Pos(18)
Output: | A | code | computer_science | ||
NLP4Education_122 | NLP4Education | A retrieval model attempts to capture
A. the structure by which a document is organised
B. the formal correctness of a query formulation by user
C. the importance a user gives to a piece of information for a query
D. the interface by which a user is accessing information | C. the importance a user gives to a piece of information for a query | computer_security | computer_science | ||
NLP4Education_588 | NLP4Education | Tick the \emph{minimal} assumption on the required channel to exchange the key of a Message Authentication Code (MAC):
A. No security assumptions are needed.
B. The channel provides authentication and integrity only.
C. The channel provides confidentiality only.
D. The channel provides authentication, integrity, and co... | B. The channel provides authentication and integrity only. | computer_security | computer_science | ||
math_696 | math_mc | Nine tiles are numbered $1, 2, 3, \cdots, 9,$ respectively. Each of three players randomly selects and keeps three of the tiles, and sums those three values. The probability that all three players obtain an odd sum is $m/n,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$
| B | math_Counting & Probability | mathematics | ||
aquarat_22899 | deepmind/aqua_rat | Find all rational zeros of P(x) = x3*cubic* - 7x + 6. | A. 1,2,-3 B. 2,2,-5 C. 1,4,-7 D. 4,3,-1 E. 3,3,-8 | A. 1,2,-3 | P(x) = x3*cubic* - 7x + 6 : given
leading coefficient 1 and its factors are : +1,-1
constant term is 6 and its factors are : +1,-1,+2,-2,+3,-3,+6,-6
possible rational zeros : +1,-1,+2,-2,+3,-3,+6,-6
test : P(1) = 0, P(2) = 0 and P(-3) = 0
x = 1, x = 2 and x = -3 are the zeros of P(x).
correct answer is A) 1,2,-3 | college_mathematics | mathematics |
mmlu_aux_train_64946 | mmlu_aux_train | A Most of us feel upset if we miss just one meal, and if we try to go without food for 12 hours we would really be uncomfortable. But there are some people who seem able to "fast" for very long periods. Various records are claimed for long fast, but in most cases there is no medical proof and so the records are doubtfu... | A. when a certain point in losing weight has been reached. | high_school_biology | biology | ||
NLP4Education_334 | NLP4Education | Following are token counts that appear in 3 documents (D1, D2, and D3):
D1 – tablet: 7; memory: 5; app: 8; sluggish: 7
D2 – memory: 5; app: 3
D3 – tablet: 3; sluggish: 3
Based on the cosine similarity, which 2 documents are the most similar?
A. D1 and D2
B. D1 and D3
C. D2 and D3
D. D1 and D2 and D3 (all equall... | B. D1 and D3 | college_mathematics | mathematics | ||
aquarat_40035 | deepmind/aqua_rat | Which of the following correctly lists the data sets in order of greatest to least standard deviation?
I. 4, 12, 15, 17, 19, 25
II. 42, 42, 42, 42, 42, 42
III. 57, 58, 59, 50, 51, 52 | A. II, I, III B. I, III, II C. I, II, III D. II, III, I E. III, II, I | C. I, II, III | out of three given sets,
II has all numbers same, so it has zero standard deviation hence it is Least
only answer choices C and D have II in least position.
Out of I ans III
III has consecutive numbers , hence all are closedly spaced hence std deviation will be less
while in I,numbers are spread widely hence std deviat... | high_school_statistics | mathematics |
math_698 | math_mc | Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if at most one of the triplets is in the starting lineup? | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_56400 | mmlu_aux_train | Every ten years there is a national census to count the number of people. The Census Office asks every household to answer questions on a census form. The census counts... * the number of people in each area * the numbers of men and women and whether they are single, married, widowed or divorced * how many children th... | B. giving information about the importance and practice of census | high_school_statistics | mathematics | ||
mmlu_aux_train_59667 | mmlu_aux_train | Are you carrying too much on your back to school? I'm sure lots of your age will say "Yes". Not only the students in China have this problem, but children in the United States also have heavy school bags. Doctors are starting to worry about that younger and younger students are having problems as a result of school ba... | C. both children in China and the US carry too heavy school bags | high_school_biology | biology | ||
allenai/sciq_9613 | allenai/sciq | What is the sum of all biochemical reactions in cells called?
A. respiration
B. evolution
C. diffusion
D. metabolism | D. metabolism | Biochemical reactions are chemical reactions that take place inside living things. Thousands of biochemical reactions continuously take place inside each cell. The sum of all these biochemical reactions is called metabolism. | college_biology | biology | |
math_1818 | math_mc | How many positive perfect squares less than $10^6$ are multiples of 24? | A | math_Number Theory | mathematics | ||
math_1280 | math_mc | Let $x,$ $y,$ $z$ be positive real numbers such that
\[\left( \frac{x}{y} + \frac{y}{z} + \frac{z}{x} \right) + \left( \frac{y}{x} + \frac{z}{y} + \frac{x}{z} \right) = 8.\]Find the minimum value of
\[\left( \frac{x}{y} + \frac{y}{z} + \frac{z}{x} \right) \left( \frac{y}{x} + \frac{z}{y} + \frac{x}{z} \right).\] | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_231 | NLP4Education | In the setting of EM, where $x_{n}$ is the data and $z_{n}$ is the latent variable, what quantity is called the posterior?
A. $p\left(z_{n} \mid \mathbf{x}_{n}, \boldsymbol{\theta}\right)$
B. $p\left(\mathbf{x}_{n} \mid z_{n}, \boldsymbol{\theta}\right)$
C. $p\left(\mathbf{x}_{n}, z_{n} \mid \boldsymbol{\theta}\right)$... | A. $p\left(z_{n} \mid \mathbf{x}_{n}, \boldsymbol{\theta}\right)$ | machine_learning | computer_science | ||
NLP4Education_362 | NLP4Education | Select \emph{incorrect} statement. Complexity analysis of an attack consideres
A. time complexity.
B. memory complexity.
C. probability of success.
D. difficulty to understand a corresponding journal paper. | D. difficulty to understand a corresponding journal paper. | computer_security | computer_science | ||
math_1820 | math_mc | At a women's doubles tennis tournament, there were three teams of two women. After the tournament, each woman shook hands once with each of the other players except her partner. What is the number of handshakes that occurred? | A | math_Prealgebra | mathematics | ||
NLP4Education_338 | NLP4Education | Using a 4-gram character model, comparing "banana" and "ananas"...
A. is the same as comparing P(bana) to P(anas)
B. is the same as comparing P(ban)/P(an) to P(nas)/P(na)
C. is the same as comparing "aaabnn" to "aaanns"
D. is the same as comparing P(bana) to P(anan) | A. is the same as comparing P(bana) to P(anas) | machine_learning | computer_science | ||
aquarat_438 | deepmind/aqua_rat | log(a(a(a)^1/4)^1/4)^1/4 here base is a. | A. 0 B. 21/64 C. 1 D. 22/63 E. 23/65 | B. 21/64 | log(a(a(a^1/4)^1/4)^1/4
=> log(a(a^1+1/4)^1/4)^1/4
=> log(a(a^5/4)^1/4)^1/4
=>log(a(a^5/16)^1/4
=>log(a^1+5/16)^1/4
=>log(a^21/16)^1/4
=>log(a^21/64)
=>21/64 log(a)
=>21/64
ANSWER:B | college_mathematics | mathematics |
mmlu_aux_train_92800 | mmlu_aux_train | Which best describes the orbit of the Moon around Earth?
A. circular with a period of about one month
B. circular with a period of about one week
C. elliptical with a period of about one month
D. elliptical with a period of about one week | C. elliptical with a period of about one month | astronomy | physics | ||
math_925 | math_mc | Right $\triangle ABC$ has $AB=3$, $BC=4$, and $AC=5$. Square $XYZW$ is inscribed in $\triangle ABC$ with $X$ and $Y$ on $\overline{AC}$, $W$ on $\overline{AB}$, and $Z$ on $\overline{BC}$. What is the side length of the square?
[asy]
pair A,B,C,W,X,Y,Z;
A=(-9,0); B=(0,12); C=(16,0);
W=(12A+25B)/37;
Z =(12C+25B)/37;
... | C | math_Geometry | mathematics | ||
mmlu_aux_train_96499 | mmlu_aux_train | As a Red Giant forms it's gravity will
A. grow
B. fluctuate
C. shrink
D. reverse | A. grow | astronomy | physics | ||
aquarat_47778 | deepmind/aqua_rat | If YWVSQ is 27 - 23 - 21 - 19 - 17, Then WKIGF | A. 13 - 11 - 9 - 7 - 9 B. 13 - 11 - 9 - 7 - 6 C. 13 - 11 - 9 - 7 - 7 D. 13 - 11 - 9 - 7 - 5 E. 13 - 11 - 9 - 7 - 1 | D. 13 - 11 - 9 - 7 - 5 | WKIGF = 13 - 11 - 9 - 7 - 5
Note: this is a dummy question. Dont answer these questions
Answer:D | formal_logic | mathematics |
pythonio_315 | pythonio-mc | Program:
import math
def wind_chill(v,t):
windchill = 13.12 + 0.6215*t - 11.37*math.pow(v, 0.16) + 0.3965*t*math.pow(v, 0.16)
return int(round(windchill, 0))
Input:
wind_chill(40,70)
Output: | A | code | computer_science | ||
allenai/sciq_5053 | allenai/sciq | Remember electrons are negatively charged, so ions with a positive charge have lost what?
A. electron
B. neutron
C. proton
D. atom | A. electron | Solution First, write out the electron configuration for each parent atom. We have chosen to show the full, unabbreviated configurations to provide more practice for students who want it, but listing the coreabbreviated electron configurations is also acceptable. Next, determine whether an electron is gained or lost. R... | high_school_chemistry | chemistry | |
aquarat_55389 | deepmind/aqua_rat | In a graduate physics course, 70 percent of the students are male and 40 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is single? | A. 2/7 B. 5/3 C. 1/2 D. 2/3 E. 1/3 | E. 1/3 | let assume there are 100 students of which 70 are male and 30 are females
if 40 are married then 60 will be single.
now its given that two-sevenths of the male students are married that means 2/7 of 70 = 20 males are married
if 40 is the total number of students who are married and out of that 20 are males then the rem... | college_mathematics | mathematics |
allenai/sciq_10253 | allenai/sciq | Which stage of life is typically easier for learning multiple languages?
A. childhood
B. adulthood
C. infancy
D. adolescenc | A. childhood | college_biology | biology | ||
math_1656 | math_mc | A particular fortune cookie lists four two-digit positive integers as your lucky numbers. The first three are 57, 13, and 72, but you got sauce on the last one and can't read it. If the sum of the digits of all four numbers equals $\frac{1}{5}$ of the sum of all four numbers, what is the smallest possibility for the fo... | B | math_Number Theory | mathematics | ||
math_737 | math_mc | Consider the set of all triangles $OPQ$ where $O$ is the origin and $P$ and $Q$ are distinct points in the plane with nonnegative integer coordinates $(x,y)$ such that $41x + y = 2009$. Find the number of such distinct triangles whose area is a positive integer.
| D | math_Geometry | mathematics | ||
pythonio_3 | pythonio-mc | Program:
def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return (res)
Input:
similar_elements((3, 4, 5, 6),(5, 7, 4, 10))
Output: | C | code | computer_science | ||
mmlu_aux_train_78183 | mmlu_aux_train | One day a great general asks his soldiers , "What is the strongest power in the world?" Four of his soldiers put up their hands. They want to answer the question. The general asks the first man to speak. The first man is youngerst, and he is not strong. He says, "My gun is the strongest . It can kill anyone." "Thank y... | D. Four of the | formal_logic | mathematics | ||
aquarat_87557 | deepmind/aqua_rat | If PINTU is coded as 79523 in a certain code language, how would you code JUMBO in the same language? | A. 13426 B. 14236 C. 13436 D. 14263 E. 15263 | A. 13426 | 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...JUMBO is 13426...
ANSWER:A | formal_logic | mathematics |
math_1778 | math_mc | Call a $3$-digit number geometric if it has $3$ distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers.
| D | math_Number Theory | mathematics | ||
allenai/sciq_7191 | allenai/sciq | The rate of heat transfer by radiation is largely determined by what?
A. scope
B. environment
C. color
D. sound | C. color | All objects absorb and emit electromagnetic radiation. The rate of heat transfer by radiation is largely determined by the color of the object. Black is the most effective, and white is the least effective. People living in hot climates generally avoid wearing black clothing, for instance (see Take-Home Experiment: Tem... | conceptual_physics | physics | |
mmlu_aux_train_33274 | mmlu_aux_train | Topping the class academically was certainly an advantage. For Nigel, studying was a piece of cake. The reward was certainly much bigger compared to the little effort Nigel had made. It all began when he was selected to help the teachers in the computer laboratories. And the peak of his school career came not when he t... | D. He helped in the computer laboratories. | high_school_computer_science | computer_science | ||
allenai/sciq_1028 | allenai/sciq | What do fungi absorb to get their nutrition?
A. air
B. soil
C. water
D. organic compounds from other organisms | D. organic compounds from other organisms | Most fungi grow on moist soil or rotting vegetation such as dead logs. Some fungi live in water. Others live in or on other organisms. Fungi get their nutrition by absorbing organic compounds from other organisms. The other organisms may be dead or alive, depending on the fungus. | high_school_biology | biology | |
math_190 | math_mc | There are two pairs $(x,y)$ of real numbers that satisfy the equation $x+y = 3xy = 4$. Given that the solutions $x$ are in the form $x = \frac{a \pm b\sqrt{c}}{d}$ where $a$, $b$, $c$, and $d$ are positive integers and the expression is completely simplified, what is the value of $a + b + c + d$? | A | math_Algebra | mathematics | ||
mmlu_aux_train_82697 | mmlu_aux_train | Did you see snow in your hometown last winter? Did you feel it was warmer than before? "There have been 21 warm winters in China since 1986," said scientists. They also said that in the past 100 years, as the global temperatures went up by 0.74 degC , the temperature in North China has climbed 1.4 degC in only 50 yea... | B. Using air conditioners may be a waste of energy. | high_school_biology | biology | ||
math_313 | math_mc | Solve for $z$ in the following equation: $1-iz = -1 + iz$ (where $i^2 = -1$). Simplify your answer as much as possible. | C | math_Algebra | mathematics | ||
NLP4Education_441 | NLP4Education | Consider a mobile station (MS) with a SIM card associated to a home network (HN). The MS tries to connect to a visited network (VN). In the GSM authentication, who knows the key $K_i$?
A. Only the SIM card.
B. The SIM card and the home network (HN).
C. The SIM card, the mobile station (MS), and the home network (HN).
D... | B. The SIM card and the home network (HN). | computer_security | computer_science | ||
NLP4Education_194 | NLP4Education | You are using a 3-layer fully-connected neural, and you are using $f(x) = 2x$ as your activation function. Your input data has components in [0, 1]. You initialize your weights using Kaiming (He) initialization, and set all the bias terms to 0. You start optimizing using SGD. What will likely happen?
A. The gradient is... | C. Training proceeds, but the neural network does only as well as a linear model. | machine_learning | computer_science | ||
pythonio_721 | pythonio-mc | Program:
def get_Number(n, k):
arr = [0] * n;
i = 0;
odd = 1;
while (odd <= n):
arr[i] = odd;
i += 1;
odd += 2;
even = 2;
while (even <= n):
arr[i] = even;
i += 1;
even += 2;
return arr[k - 1];
Input:
get_Number(8,5)
... | D | code | computer_science | ||
allenai/sciq_9614 | allenai/sciq | What process is magnesium important to?
A. absorption
B. carbon cycle
C. dna replication
D. photosynthetic | D. photosynthetic | Magnesium (Mg) and calcium (Ca) are also important macronutrients. The role of calcium is twofold: to regulate nutrient transport, and to support many enzyme functions. Magnesium is important to the photosynthetic process. These minerals, along with the micronutrients, which are described below, also contribute to the ... | high_school_biology | biology | |
math_708 | math_mc | In triangle $ABC$, $AB=13$, $BC=15$ and $CA=17$. Point $D$ is on $\overline{AB}$, $E$ is on $\overline{BC}$, and $F$ is on $\overline{CA}$. Let $AD=p\cdot AB$, $BE=q\cdot BC$, and $CF=r\cdot CA$, where $p$, $q$, and $r$ are positive and satisfy $p+q+r=2/3$ and $p^2+q^2+r^2=2/5$. The ratio of the area of triangle $DEF$ ... | C | math_Geometry | mathematics | ||
aquarat_14967 | deepmind/aqua_rat | K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 750? | A. 10 B. 11 C. 12 D. 13 E. 15 | E. 15 | 750 = 3*222 + (22*3) + 9*2
K weight of 600 = 3 +3+9 = 15
Answer E | college_mathematics | mathematics |
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