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_14503 | mmlu_aux_train | When other nine-year-old kids were playing games, she was working at a petrol station. When other teens were studying or going out, she struggled to find a place to sleep on the street. But she overcame these terrible setbacks to win a highly competitive scholarship and gain entry to Harvard University. And her amazi... | D. how Liz struggled to change her life | high_school_computer_science | computer_science | ||
math_848 | math_mc | Six boys stood equally spaced on a circle of radius 40 feet. Each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. After all... | B | math_Geometry | mathematics | ||
mmlu_aux_train_35546 | mmlu_aux_train | Since the Internet came into homes, the daily life has never been the same again. But the thing that worries most of us is that we can get viruses from the Internet. But can we catch viruses on our cell phones? A new study in the journal Science says yes, but the spread of such mobile software that can bring harm to ou... | B. The threat of cell phone viruses. | computer_security | computer_science | ||
allenai/sciq_5313 | allenai/sciq | What is a gap in rock layers called?
A. an anomaly
B. a mutation
C. an unconformity
D. a crevice | C. an unconformity | An unconformity is a gap in rock layers. They occur where older rock layers eroded away completely before new rock layers were deposited. | college_geology | earth_science | |
allenai/sciq_570 | allenai/sciq | All matter is composed of tiny indivisible particles called atoms. all atoms of an element are identical in mass and this?
A. liquid properties
B. chemical properties
C. acid properties
D. electrical properties | B. chemical properties | All matter is composed of tiny indivisible particles called atoms. All atoms of an element are identical in mass and chemical properties, whereas atoms of different elements differ in mass and fundamental chemical properties. A chemical compound is a substance that always contains the same atoms in the same ratio. In c... | high_school_chemistry | chemistry | |
aquarat_85692 | deepmind/aqua_rat | If Yury has been writing programming code for 11 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written? | A. 126(10^2) B. 126(10^3) C. 12.6(10^5) D. 1.26(10^7) E. 99(10^2) | E. 99(10^2) | 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
11 HOURS = 900 X 11 = 99(10^2)
ANSWER E | coding | computer_science |
aquarat_6271 | deepmind/aqua_rat | A textile manufacturing firm employees 70 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 70 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over ... | A. 13000 B. 7000 C. 10000 D. 5000 E. None of these | D. 5000 | Explanation :
Profit = 5,00,000−(1,50,000+75,000) =Rs. 2,75,000.
Since, such loom contributes equally to sales and manufacturing expenses.
But the monthly charges are fixed at Rs 75,000.
If one loan breaks down sales and expenses will decrease.
New profit :-
=>500000×(69/70)−150000×(69/70)−75000.
=>Rs 2,70,000.... | college_mathematics | mathematics |
math_496 | math_mc | Seven sticks with lengths 2, 3, 5, 7, 11, 13 and 17 inches are placed in a box. Three of the sticks are randomly selected. What is the probability that a triangle can be formed by joining the endpoints of the sticks? Express your answer as a common fraction. | D | math_Counting & Probability | mathematics | ||
math_1567 | math_mc | Let $n$ be the integer such that $0 \le n < 31$ and $3n \equiv 1 \pmod{31}$. What is $\left(2^n\right)^3 - 2 \pmod{31}$?
Express your answer as an integer from $0$ to $30$, inclusive. | A | math_Number Theory | mathematics | ||
math_2204 | math_mc | Let $\mathbf{a} = \begin{pmatrix} 7 \\ -4 \\ -4 \end{pmatrix}$ and $\mathbf{c} = \begin{pmatrix} -2 \\ -1 \\ 2 \end{pmatrix}.$ Find the vector $\mathbf{b}$ such that $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ are collinear, and $\mathbf{b}$ bisects the angle between $\mathbf{a}$ and $\mathbf{c}.$
[asy]
unitsize(0.5... | D | math_Precalculus | mathematics | ||
aquarat_54536 | deepmind/aqua_rat | A sealed envelope contains a card with a single digit written on it. Three of the following statements are true and one is false.
I. The digit is 1.
II. The digit is not 2.
III. The digit is not 9.
IV. The digit is 8.
Which one of the following must necessarily be correct? | A. III B. I C. IV D. II E. NONE | A. III | Three of the given statements are true. So both II and III are correct, and the given number is one of 1 or 8. So option A is correct.
Answer:A | formal_logic | mathematics |
math_175 | math_mc | The quadratic $8x^2+12x-14$ has two real roots. What is the sum of the squares of these roots? Express your answer as a common fraction in lowest terms. | C | math_Algebra | mathematics | ||
math_1526 | math_mc | Compute the largest integer $k$ such that $2004^k$ divides $2004!$.
| B | math_Number Theory | mathematics | ||
math_196 | math_mc | Elmo makes $N$ sandwiches for a fundraiser. For each sandwich he uses $B$ globs of peanut butter at $4$ cents per glob and $J$ blobs of jam at $5$ cents per blob. The cost of the peanut butter and jam to make all the sandwiches is $\$2.53$. Assume that $B$, $J$, and $N$ are positive integers with $N>1$. What is the c... | A | math_Algebra | mathematics | ||
math_1683 | math_mc | How many integers $N$ less than $1000$ can be written as the sum of $j$ consecutive positive odd integers from exactly 5 values of $j\ge 1$?
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_84116 | mmlu_aux_train | Hello. My name is Liang Bin and I'm 13 year sold. I come from Wuhan. In the morning I get up at half past six, and then I run near my home. At twenty past seven, I have breakfast with my parents. Usually I have eggs and milk. Sometimes I have bread and fruit juice. but I don't eat meat. I go to school at twenty to eigh... | A. English | high_school_computer_science | computer_science | ||
aquarat_65410 | deepmind/aqua_rat | If there is exactly one root of the equation 2x^2 + ax + b, where a and b are positive constants, what is b in terms of a? | A. a/2 B. a C. 3a/2 D. a^2/8 E. a^2/4 | D. a^2/8 | one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1
Here b = a
c= b
a = 2
substituting these values in 1, we have
a^2 = 8b => b =a^2/8
Answer is D. | college_mathematics | mathematics |
allenai/sciq_362 | allenai/sciq | Electrical potential energy can be described by the equation pe = qv, where q is the electric charge and v is what?
A. amplitude
B. voltage
C. frequency
D. wavelength density | B. voltage | This equation is based on the conservation of energy and conservation of charge. Electrical potential energy can be described by the equation PE = qV , where q is the electric charge and V is the voltage. Thus the energy supplied by the source is qV , while that dissipated by the resistors is. | electrical_engineering | engineering | |
mmlu_aux_train_78931 | mmlu_aux_train | My favorite physicist is Qian Xuesen. He was born in Shanghai on December 11, 1911. He was a little fat and of medium height. And his eyes were wise. He liked music, art and science . He studied the important implementation plan for the Chinese rocket and the missile . He worked very hard for our country. I lik... | D. 98 | conceptual_physics | physics | ||
mmlu_aux_train_49927 | mmlu_aux_train | Every day from the time we wake up until the time we go to bed, we are bombarded with information from all sides, from TV, radio, newspapers and books; from family, friends, and colleagues. As a new cable television subscriber, I am ly amazed at the quantity and varying levels of information quality on cable televisio... | C. receive and go through the information | formal_logic | mathematics | ||
mmlu_aux_train_93900 | mmlu_aux_train | Joanne wants to investigate factors that affect different patterns of the flight of bees. Which step in the scientific method must she follow before forming a hypothesis?
A. record data of numbers of bees
B. measure the distances of bee flights
C. draw a conclusion about when bees fly
D. gather information about fligh... | D. gather information about flight patterns | high_school_biology | biology | ||
aquarat_6355 | deepmind/aqua_rat | If f(x) =4* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)? | A. f(x) B. -f(x) C. -4*f(x) D. -1/f(x) E. 2*f(x) | C. -4*f(x) | 4*f(1/x) = 4*((1/x)^4 - 1) / ((1/x)^2)
= 4*((1/x^4) - 1) / (1/x^2)
= 4*((1-x^4)/(x^4)) / (1/x^2)
=4* (1-x^4)/(x^2)
= - 4*( (x^4) -1) / (x^2)
= -4f(x)
Answer is C. | college_mathematics | mathematics |
NLP4Education_647 | NLP4Education | What is the name of the encryption threat that corresponds to \emph{force the sender to encrypt some messages selected by the adversary}?
A. Chosen Ciphertext Attack
B. Chosen Plaintext Attack
C. Known Ciphertext Attack
D. Known Plaintext Attack | B. Chosen Plaintext Attack | computer_security | computer_science | ||
aquarat_52874 | deepmind/aqua_rat | A man invests some money partly in 15% stock at 105 and partly in 8% stock at 40.To obtain equal dividends from both,he must invest the money in the ratio : | A. 3 : 4 B. 3 : 5 C. 7 : 5 D. 16 : 15 E. None | C. 7 : 5 | Solution
For an income of Rs. 1 in 15% stock at 105, investment = Rs. (105/15)= Rs. 7.
For an income of Rs. 1 in 8% stock at 40, investment = Rs.(40/8) = Rs. 5.
∴ Ratio of investments = 7:5 =7:5
Answer C | college_mathematics | mathematics |
allenai/sciq_6775 | allenai/sciq | When is the sun directly over the equator?
A. Fall
B. Midsummer
C. Winter
D. equinox | D. equinox | Solstice refers to the position of the Sun when it is closest to one of the poles. At equinox, the Sun is directly over the Equator. | astronomy | physics | |
math_823 | math_mc | Given that $m \angle A= 60^\circ$, $BC=12$ units, $\overline{BD} \perp \overline{AC}$, $\overline{CE} \perp \overline{AB}$ and $m \angle DBC = 3m \angle ECB$, the length of segment $EC$ can be expressed in the form $a(\sqrt{b}+\sqrt{c})$ units where $b$ and $c$ have no perfect-square factors. What is the value of $a+b... | A | math_Geometry | mathematics | ||
pythonio_324 | pythonio-mc | Program:
def is_nonagonal(n):
return int(n * (7 * n - 5) / 2)
Input:
is_nonagonal(15)
Output: | A | code | computer_science | ||
allenai/sciq_7835 | allenai/sciq | What is required to partially overcome the attractive forces between molecules in a solid to form a liquid?
A. oxygen
B. energy
C. fuel
D. hydrogen | B. energy | Figure 14.7 (a) Energy is required to partially overcome the attractive forces between molecules in a solid to form a liquid. That same energy must be removed for freezing to take place. (b) Molecules are separated by large distances when going from liquid to vapor, requiring significant energy to overcome molecular at... | high_school_chemistry | chemistry | |
allenai/sciq_7371 | allenai/sciq | Name the missing type of friction: static, rolling, fluid _____?
A. sliding
B. falling
C. turning
D. dragging | A. sliding | Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. | high_school_physics | physics | |
aquarat_54464 | deepmind/aqua_rat | How many two-element subsets of <1, 2,3,4,5,6> are there that do not contain the pair of elements 2 and 4? | A. 11 B. 12 C. 14 D. 15 E. 16 | C. 14 | 6C2 - 1 = 14 Answer is C | college_mathematics | mathematics |
math_2074 | math_mc | Find the smallest positive solution to
\[\tan 2x + \tan 3x = \sec 3x\]in radians. | D | math_Precalculus | mathematics | ||
math_2150 | math_mc | Find the matrix $\mathbf{M},$ with real entries, such that
\[\mathbf{M}^3 - 4 \mathbf{M}^2 + 5 \mathbf{M} = \begin{pmatrix} 10 & 20 \\ 5 & 10 \end{pmatrix}.\] | B | math_Precalculus | mathematics | ||
pythonio_853 | pythonio-mc | Program:
def coin_change(S, m, n):
table = [[0 for x in range(m)] for x in range(n+1)]
for i in range(m):
table[0][i] = 1
for i in range(1, n+1):
for j in range(m):
x = table[i - S[j]][j] if i-S[j] >= 0 else 0
y = table[i][j-1] if j >= 1 else 0
... | C | code | computer_science | ||
math_1489 | math_mc | Compute the unique positive integer $n$ such that
\[2 \cdot 2^2 + 3 \cdot 2^3 + 4 \cdot 2^4 + \dots + n \cdot 2^n = 2^{n + 10}.\] | A | math_Intermediate Algebra | mathematics | ||
allenai/sciq_8907 | allenai/sciq | What do a group of cells that work together form?
A. molecule
B. tissue
C. organelle
D. organ | B. tissue | Cells are grouped together to carry out specific functions. A group of cells that work together form a tissue . Your body has four main types of tissues, as do the bodies of other animals. These tissues make up all structures and contents of your body. An example of each tissue type is pictured in the Figure below . | high_school_biology | biology | |
pythonio_501 | pythonio-mc | Program:
def add_list(nums1,nums2):
result = map(lambda x, y: x + y, nums1, nums2)
return list(result)
Input:
add_list([10,20],[50,70])
Output: | A | code | computer_science | ||
allenai/sciq_5879 | allenai/sciq | What are identified by the azimuthal quantum number?
A. sub-energy levels
B. ionic-energy level
C. covalent bonds
D. radioactivity - energy levels | A. sub-energy levels | The sub-energy levels are identified by the azimuthal quantum number, . | college_chemistry | chemistry | |
aquarat_33233 | deepmind/aqua_rat | For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 25 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group? | A. 0.05 B. 0.36 C. 0.2 D. 0.25 E. 0.6 | B. 0.36 | Index for females = (25-8)/25 = 17/25 = 0.68
Index for males = (25-17/25 = 8/25 = 0.32
Index for females exceeds males by 0.68 - 0.32 = 0.36
Answer: B | college_mathematics | mathematics |
allenai/sciq_508 | allenai/sciq | Emissions of what gas into the atmosphere from fossil fuel burning have been rising for the past several decades?
A. carbon dioxide
B. sulphur
C. neon
D. oxygen | A. carbon dioxide | Carbon dioxide emissions into the atmosphere from fossil fuel burning have been rising for the past several decades. | high_school_chemistry | chemistry | |
NLP4Education_726 | NLP4Education | Which of the following statements are true about DEP?
A. DEP protects against both code injection and code reuse attacks.
B. DEP is typically managed using a single bit to indicate if a memory region is non-executable.
C. Data Execution Prevention is enforced at byte-level granularity.
D. A region marked as DEP protect... | B. DEP is typically managed using a single bit to indicate if a memory region is non-executable. | computer_security | computer_science | ||
allenai/sciq_10768 | allenai/sciq | The sun and all objects held by it's gravity make up the?
A. planet
B. atmosphere
C. solar system
D. milky way | C. solar system | The Sun and all the objects held by its gravity make up the solar system. | astronomy | physics | |
aquarat_47698 | deepmind/aqua_rat | Find the value of
((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07) | A. 14/10 B. 14/23 C. 15/31 D. 13/15 E. None | A. 14/10 | ((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
=> (0.1 + 0.6 + 0.7)3/(0.1 + 0.6 + 0.7)2
=> 0.1 + 0.6 + 0.7 => 1.4 = 14/10
A) | college_mathematics | mathematics |
aquarat_21381 | deepmind/aqua_rat | What would be the minimum number of pumps required to fill a tank of 1000 m3 to 85% in one hour? The capacity of the pump is 150 m3/hour and operates at an efficiency of 75%. | A. 6 B. 8 C. 10 D. 11 E. 12 | B. 8 | Volume handled by pump in one hour=150x.75=112.5
Volume of the tank that needs to be filled=1000x.85=850
Number of pumps needed=850/112.5=7.55≈8
Answer:B | electrical_engineering | engineering |
NLP4Education_361 | NLP4Education | The number of permutations on a set of $n$ elements
A. is always greater than $2^n$
B. is approximately $n(\log n - 1)$
C. can be approximated using the Stirling formula
D. is independent of the size of the set | C. can be approximated using the Stirling formula | college_mathematics | mathematics | ||
mmlu_aux_train_96978 | mmlu_aux_train | A person approaching a dog from across a street can note that the dog
A. looks tiny when nearer
B. is minuscule in person
C. looks more sizable after approaching
D. looks smaller up close | C. looks more sizable after approaching | high_school_physics | physics | ||
NLP4Education_454 | NLP4Education | Which of these attacks applies to the Diffie-Hellman key exchange when the channel cannot be authenticated?
A. Meet-in-the-middle attack
B. Birthday Paradox
C. Attack on low exponents
D. Man-in-the-middle attack | D. Man-in-the-middle attack | computer_security | computer_science | ||
allenai/sciq_11623 | allenai/sciq | What form when a single atom gains or loses electrons?
A. vacuoles ions
B. fusional ions
C. monatomic ions
D. carbon atoms | C. monatomic ions | Monatomic ions form when a single atom gains or loses electrons. For the main group elements, cations are generally formed by removing all of the valence electrons from the atom. Since the numbers of valence electrons for the representative elements are constant within a particular group, all we need is the group numbe... | high_school_chemistry | chemistry | |
mmlu_aux_train_99664 | mmlu_aux_train | A mouse will most likely be hunted by an animal with
A. a long neck
B. pointed teeth
C. dense fur
D. webbed feet | B. pointed teeth | high_school_biology | biology | ||
mmlu_aux_train_93824 | mmlu_aux_train | As Earth revolves around the Sun, the number of daylight hours varies from place to place. In which location would the number of daylight hours remain constant?
A. North Pole
B. Prime Meridian
C. Equator
D. Antarctica | C. Equator | astronomy | physics | ||
allenai/sciq_8698 | allenai/sciq | Lava that enters the water is called what?
A. lava flow
B. pillow lava
C. magma runoff
D. saltwater lava | B. pillow lava | Pillow lava is created from lava that enters the water. The volcanic vent may be underwater. The lava may flow over land and enter the water ( Figure below ). Once in the water, the lava cools very quickly. The lava forms round rocks that resemble pillows. Pillow lava is particularly common along mid-ocean ridges. | earth_science | earth_science | |
aquarat_39206 | deepmind/aqua_rat | Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 10 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal | A. 7 B. 9 C. 10 D. 11 E. 12 | A. 7 | Since (ii) holds for every real number x, it will remain valid if we replace x with
-x. Therefore, f(1-x) = 3+f(-x). Now, from (i), 10 = f(x)+f(1-x) = f(x)+3+f(-x)
so that f(x) + f(-x) = 10-3 = 7. (Observe that f(x) = 3x + 4 satisfies the conditions
in the problem.)
correct answer A | college_mathematics | mathematics |
NLP4Education_495 | NLP4Education | The Advanced Encryption Standard (AES) is based on arithmetics on…
A. $\mathrm{GF}(256)$
B. $\mathbf{Z}_{2^8}^*$
C. $\mathbf{Q}\setminus \{0\}$
D. $\mathbf{Z}_{2^8}$ | A. $\mathrm{GF}(256)$ | computer_security | computer_science | ||
mmlu_aux_train_2398 | mmlu_aux_train | Ice will form on small ponds when the temperature drops below 0°C. Which property of ice is most beneficial to fish living in these ponds?
A. Ice has a temperature colder than the temperature of water.
B. Ice absorbs sunlight that is reflected by water.
C. Ice traps more pollution than is trapped by water.
D. Ice had ... | D. Ice had a density lower than the density of water. | high_school_physics | physics | ||
math_1058 | math_mc | Points $A$ and $B$ are selected on the graph of $y = -\frac{1}{2}x^2$ so that triangle $ABO$ is equilateral. Find the length of one side of triangle $ABO$. [asy]
size(150);
draw( (-4, -8) -- (-3.4641, -6)-- (-3, -9/2)-- (-5/2, -25/8)-- (-2,-2)-- (-3/2, -9/8) -- (-1, -1/2) -- (-3/4, -9/32) -- (-1/2, -1/8) -- (-1/4, -1/3... | A | math_Geometry | mathematics | ||
NLP4Education_636 | NLP4Education | In which group is the discrete logarithm problem believed to be hard?
A. In a subgroup of $\mathbb{Z}_p^*$ with large prime order.
B. In $\mathbb{Z}_n$, where $n= pq$ for two large primes $p$ and $q$.
C. In a group $G$ of smooth order.
D. In $\mathbb{Z}_2^p$, for a large prime $p$. | A. In a subgroup of $\mathbb{Z}_p^*$ with large prime order. | abstract_algebra | mathematics | ||
aquarat_6570 | deepmind/aqua_rat | Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2200.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume incr... | A. 20% B. 30% C. 60% D. 50% E. 33% | E. 33% | Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 33%
E | college_mathematics | mathematics |
NLP4Education_310 | NLP4Education | Convex functions over a convex set have a unique global minimum.
A. Always True
B. Always False
C. Only true if the function is strictly convex
D. Only true if the set is bounded | C. Only true if the function is strictly convex | college_mathematics | mathematics | ||
math_956 | math_mc | Two of the altitudes of the scalene triangle $ABC$ have length $4$ and $12$. If the length of the third altitude is also an integer, what is the biggest it can be?
$\textbf{(A)}\ 4\qquad \textbf{(B)}\ 5\qquad \textbf{(C)}\ 6\qquad \textbf{(D)}\ 7\qquad \textbf{(E)}\ \text{none of these}$
| C | math_Geometry | mathematics | ||
mmlu_aux_train_2780 | mmlu_aux_train | An oceanic plate subducts under a continental plate. Which of these landforms most likely results from the interaction of these plates?
A. volcanic mountains
B. transform boundaries
C. continental shelves
D. normal faults | A. volcanic mountains | college_geology | earth_science | ||
allenai/sciq_3468 | allenai/sciq | Which types of waves are used for cell phones and radar?
A. sound waves
B. thermal waves
C. light waves
D. microwaves | D. microwaves | Microwaves are used for cell phones and radar. | high_school_physics | physics | |
aquarat_27937 | deepmind/aqua_rat | A data set with a mean of 60 has a standard deviation of 8.7. Which of the following is the smallest number that falls within one standard deviation of the mean? | A. 51 B. 56 C. 59 D. 63.5 E. 65 | A. 51 | One standard deviation of the mean is from{mean}-{deviation}=60-8.7=51.3 to{mean}+{deviation}=60+8.7=68.7. The smallest number within this range from the options is 51.
Answer: A.
Hope this helps. | high_school_statistics | mathematics |
mmlu_aux_train_4462 | mmlu_aux_train | What happens to water when it boils?
A. It changes color.
B. It becomes heavier.
C. It changes into water vapor.
D. It stops bubbling. | C. It changes into water vapor. | high_school_chemistry | chemistry | ||
mmlu_aux_train_94751 | mmlu_aux_train | Students are studying the classifications of stars and they learned that the majority of stars are similar to the Sun. What can the students conclude knowing that most of the stars in the galaxy are like the Sun?
A. Most of the stars will become black holes.
B. Most of the stars are main sequence stars.
C. Most of the... | B. Most of the stars are main sequence stars. | astronomy | physics | ||
pythonio_774 | pythonio-mc | Program:
def remove_list_range(list1, leftrange, rigthrange):
result = [i for i in list1 if (min(i)>=leftrange and max(i)<=rigthrange)]
return result
Input:
remove_list_range([[2], [0], [1, 2, 3], [0, 1, 2, 3, 6, 7], [9, 11], [13, 14, 15, 17]],13,17)
Output: | B | code | computer_science | ||
NLP4Education_814 | NLP4Education | If A is an uncountable set and B is an uncountable set, A − B cannot be:
A. countably infinite
B. uncountable
C. the null set
D. none of the other options | D. none of the other options | abstract_algebra | mathematics | ||
mmlu_aux_train_1261 | mmlu_aux_train | Which of the following describes how a microwave oven heats food?
A. The oven's interior reflects heat onto the food.
B. The oven's interior, like a lens, focuses heat onto the food.
C. Water molecules in the food reflect energy from microwave radiation.
D. Water molecules in the food absorb the energy of microwave ra... | D. Water molecules in the food absorb the energy of microwave radiation. | high_school_physics | physics | ||
mmlu_aux_train_5686 | mmlu_aux_train | One advantage of the Internet is shopping conveniently online for clothes; one disadvantage of the Internet is also shopping conveniently online for clothes. "Nothing fits," said Lam Yuk Wong, a senior in electrical and computer engineering at Rice University. "Everyone says this. They order clothes and they don't fit.... | B. Clothes bought online may not fit. | college_computer_science | computer_science | ||
aquarat_71672 | deepmind/aqua_rat | If 2*f(x) - f(1/x) = x2x2 , then f(x) is? | A. f(x) = 3{2*x2x2 + (1x)2(1x)9 } B. f(x) = 3{2*x2x2 + (1x)2(1x)2 } C. f(x) = 3{2*x2x2 + (1x)2(1x)3 } D. f(x) = 3{2*x2x2 + (1x)2(1x)4 } E. f(x) = 3{2*x2x2 + (1x)2(1x)1 } | B. f(x) = 3{2*x2x2 + (1x)2(1x)2 } | 2*f(x) - f(1/x) = x2x2 ..............(1)
Take x = (1/x),
2*(1/x) - f(x) = (1x)2(1x)2 ...............(2)
Add: 2 (equation 1) + equation 2
3*f(x) = 2*x2x2+ (1x)2(1x)2
f(x) = {2*x2x2 + (1x)2(1x)2}/3
Answer:B | college_mathematics | mathematics |
allenai/sciq_8912 | allenai/sciq | When a male directly deposits sperm in a female during mating, this is considered what type of fertilization?
A. internal
B. mechanical
C. external
D. dual | A. internal | Internal Fertilization Internal fertilization occurs most often in terrestrial animals, although some aquatic animals also use this method. Internal fertilization may occur by the male directly depositing sperm in the female during mating. It may also occur by the male depositing sperm in the environment, usually in a ... | high_school_biology | biology | |
pythonio_426 | pythonio-mc | Program:
from itertools import groupby
def group_element(test_list):
res = dict()
for key, val in groupby(sorted(test_list, key = lambda ele: ele[1]), key = lambda ele: ele[1]):
res[key] = [ele[0] for ele in val]
return (res)
Input:
group_element([(6, 5), (2, 7), (2, 5), (8, 7), (9, 8), (3, 7)])
Outpu... | C | code | computer_science | ||
math_495 | math_mc | My three-digit code is 023. Reckha can't choose a code that is the same as mine in two or more of the three digit-positions, nor that is the same as mine except for switching the positions of two digits (so 320 and 203, for example, are forbidden, but 302 is fine). Reckha can otherwise choose any three-digit code where... | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_40696 | mmlu_aux_train | Teenagers who do not get enough of the nutrients commonly found in fruits and fish are easier to have bad lungs, coughing and wheezing .Teens who eat the least of fruit and especially vitamin C have weaker lungs compared to the others. Teens who take in less vitamin E, found in vegetable oil and nuts, are more likely ... | D. They are likely to have weaker lungs. | high_school_biology | biology | ||
mmlu_aux_train_21912 | mmlu_aux_train | Carrot juice, because of its many healthy benefits, is commonly called the "magic juice". It has been found that adding carrot juice to people's diets greatly improves their health. And its delicious taste makes it popular with all members of the family as a beverage. Carrot juice is one of the richest sources of vitam... | A. skin dryness | high_school_biology | biology | ||
math_849 | math_mc | Convex pentagon $ABCDE$ has side lengths $AB=5$, $BC=CD=DE=6$, and $EA=7$. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of $ABCDE$.
| C | math_Geometry | mathematics | ||
math_309 | math_mc | How many $y$-intercepts does the graph of the parabola $x = 2y^2 - 3y + 7$ have? | B | math_Algebra | mathematics | ||
aquarat_63311 | deepmind/aqua_rat | Set A of 8 positive integers may have the same element and have 36. And set B of 8 positive integers must have different elements and have 36. When m and n are the greatest possible differences between 36 and other elements’ sums in set A and set B, respectively, m-n=? | A. 20 B. 21 C. 23 D. 25 E. 26 | B. 21 | This is maximum-minimum. Hence, 36-(1+1+1+1+1+1+1)=29 and 36-(1+2+3+4+5+6+7)=8. So, 29-8=21. The correct answer is B. | college_mathematics | mathematics |
NLP4Education_43 | NLP4Education | The edit distance between “piece” and “peace” is (Penalty for wrong ticks)
A. 3
B. 2, if considering insertion and deletion only
C. 1, if considering insertion, deletion, transposition and substitution
D. 5 | B. 2, if considering insertion and deletion only | college_computer_science | computer_science | ||
allenai/sciq_268 | allenai/sciq | What is the second most abundant element in the earth's crust?
A. silicon
B. nitrogen
C. helium
D. carbon | A. silicon | What is this intricate orb? It is the greatly magnified skeleton of single-celled ocean organisms call radiolarian. The skeleton is made of an element that is extremely common on Earth. In fact, it is the second most abundant element in Earth’s crust. It is also one of the most common elements in the entire universe. W... | college_earth_science | earth_science | |
allenai/sciq_8389 | allenai/sciq | In naming ternary compounds, which type of particle is stated first?
A. subatomic
B. molecule
C. cation
D. anion | C. cation | Ternary compounds are named by stating the cation first, followed by the anion. | high_school_chemistry | chemistry | |
pythonio_449 | pythonio-mc | Program:
def equilibrium_index(arr):
total_sum = sum(arr)
left_sum=0
for i, num in enumerate(arr):
total_sum -= num
if left_sum == total_sum:
return i
left_sum += num
return -1
Input:
equilibrium_index([1, 2, 3, 4, 1, 2, 3])
Output: | A | code | computer_science | ||
pythonio_917 | pythonio-mc | Program:
def max_similar_indices(test_list1, test_list2):
res = [(max(x[0], y[0]), max(x[1], y[1]))
for x, y in zip(test_list1, test_list2)]
return (res)
Input:
max_similar_indices([(3, 5), (7, 8), (6, 2)],[(6, 5), (9, 11), (9, 15)])
Output: | A | code | computer_science | ||
math_753 | math_mc | The graph of the equation $9x+223y=2007$ is drawn on graph paper with each square representing one unit in each direction. How many of the $1$ by $1$ graph paper squares have interiors lying entirely below the graph and entirely in the first quadrant?
| B | math_Geometry | mathematics | ||
mmlu_aux_train_809 | mmlu_aux_train | The Federal Computer Abuse Act establishes the Federal Computer Abuse Commission, authorizes the Commission to issue licenses for the possession of computers on terms that are consistent with the purposes of the act, and makes the unlicensed possession of a computer a crime. The provisions of the Federal Computer Abuse... | B. constitutional, because Congress may use the authority vested in it by the commerce clause to regulate the possession of computers and the provisions of this act do not violate any prohibitory provision of the Constitution. | computer_security | computer_science | ||
allenai/sciq_1405 | allenai/sciq | What is a purification process where the components of a liquid mixture are vaporized and then condensed and isolated?
A. distillation
B. sterilization
C. dispersion
D. conduction | A. distillation | Distillation is an effective method to separate mixtures comprised of two or more pure liquids. Distillation is a purification process where the components of a liquid mixture are vaporized and then condensed and isolated. In simple distillation, a mixture is heated and the most volatile component vaporizes at the lowe... | college_chemistry | chemistry | |
aquarat_73882 | deepmind/aqua_rat | Among the employees of a certain company, 51 percent of the employees are male and 49 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or... | A. 0.3 B. 0.6 C. 0.5 D. 0.4 E. 0.7 | D. 0.4 | Much faster: draw 4 quadrants
______________Male (51%)_____Female (49%)
Married :__________70%____________50%
Not Married:_______30%____________50%
Therefore: the probability of picking one random person Not Married (he or she) is: 0,51 x 0,30 + 0,50 x 0,50 = 0,15 + 0,25 (approx.)
Solution: approx. 0,4 (answer D) | high_school_statistics | mathematics |
allenai/sciq_6511 | allenai/sciq | What does continental crust grade into at continental margins?
A. remnants crust
B. storm crust
C. ocean floor
D. oceanic crust | D. oceanic crust | Think of a continent, like North America. Surrounding the continent are continental margins . Continental crust grades into oceanic crust at continental margins. Continental margins are under water. Almost all of North America sits on the North American Plate ( Figure below ). Both sides of the continent have continent... | college_geology | earth_science | |
allenai/sciq_2160 | allenai/sciq | Fruit fly and brine shrimp hox genes have evolved independently for how long?
A. 400 million years
B. 100.32 million years
C. one billion
D. 60.000 million years | A. 400 million years | college_biology | biology | ||
NLP4Education_640 | NLP4Education | Tick the true assertion. MAC is …
A. a computer.
B. the name of a dish with chili.
C. a Message Authentication Code.
D. the encryption of KEY with the Ceasar cipher. | C. a Message Authentication Code. | computer_security | computer_science | ||
mmlu_aux_train_96624 | mmlu_aux_train | A person will make ethanol out of all aside from
A. salt
B. grain
C. corn
D. maize | A. salt | high_school_chemistry | chemistry | ||
aquarat_77243 | deepmind/aqua_rat | What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break? | A. 1/ 225 B. 1 / 30 C. 1 /15 D. 2 / 15 E. 4 /15 | D. 2 / 15 | Q 1/15 + (14/15) * 1/14 = 2/15 D | high_school_statistics | mathematics |
aquarat_35149 | deepmind/aqua_rat | If a boat is rowed downstream for 96 km in 3 hours and upstream for 88 km in 11 hours, what is the speed of the boat and the river? | A. 12 , 20 B. 20 , 20 C. 20 , 11 D. 20 , 12 E. 12 , 12 | D. 20 , 12 | Explanation:
If x: speed of boats man in still water
y: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x – y
x = (Ds + Us) / 2
y = (Ds – Us) / 2
In the above problem Ds = 32 ; Us = 8
x = (32 + 8) / 2 = 40/2 = 20 km/hr
y = (32 - 8)/2 = 24/2 = 12 km/hr
ANSWER: D | conceptual_physics | physics |
mmlu_aux_train_64712 | mmlu_aux_train | Imagine life without the Internet -- not being able to chat with your friends or look up information for your homework or research project. That is the reality for nearly two-thirds of our world's population, either because they cannot afford WiFi access or are located in remote, inaccessible areas. Now Google has deci... | C. Allowing people to connect to the Internet easily. | college_computer_science | computer_science | ||
pythonio_830 | pythonio-mc | Program:
import re
def extract_date(url):
return re.findall(r'/(\d{4})/(\d{1,2})/(\d{1,2})/', url)
Input:
extract_date("https://economictimes.indiatimes.com/news/economy/2020/12/29/finance/pension-assets-under-pfrda-touch-rs-5-32-lakh-crore/articleshow/79736619.cms")
Output: | B | code | computer_science | ||
aquarat_25472 | deepmind/aqua_rat | For a,r,d are the positive integers, and d|a means that “a is divisible by d”, if d|ar, which of the following must be true? | A. d|a B. d|r C. d|2ar D. d|(a+r) E. d|(a-r) | C. d|2ar | d/a means a is divisible by d
d/ar means ab divisible by d.
all are integers so ,
if ar is divisible by d,
1 a can be divisible by d
or
2 r 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 2ar divisible by d. if ab is divisible by d then 2ar is divisible b... | abstract_algebra | mathematics |
math_886 | math_mc | Two different points, $C$ and $D$, lie on the same side of line $AB$ so that $\triangle ABC$ and $\triangle BAD$ are congruent with $AB = 9$, $BC=AD=10$, and $CA=DB=17$. The intersection of these two triangular regions has area $\tfrac mn$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.
| A | math_Geometry | mathematics | ||
allenai/sciq_3088 | allenai/sciq | Minerals that are not pure elements are made of what?
A. chemical compounds
B. noble gases
C. metalloids
D. isotopes | A. chemical compounds | Minerals that are not pure elements are made of chemical compounds. For example, the mineral quartz is made of the compound silicon dioxide, or SiO 2 . This compound has one atom of the element silicon for every two atoms of the element oxygen. | high_school_chemistry | chemistry | |
mmlu_aux_train_49774 | mmlu_aux_train | Research has shown that music has an important effect on one's body and psyche . In fact, there is a growing field of health care known as music therapy, which uses music to treat diseases. Even hospitals are beginning to use music therapy. This is not surprising, as music affects the body and mind in many powerful wa... | D. It is the use of music method to help treat diseases. | clinical_knowledge | biology | ||
allenai/sciq_2878 | allenai/sciq | Many metals react with acids to produce what gas?
A. neon
B. helium
C. mercury
D. hydrogen | D. hydrogen | Many metals react with acids to produce hydrogen gas. A certain reaction produces 86.5 L of hydrogen gas at STP. How many moles of hydrogen were produced?. | high_school_chemistry | chemistry | |
math_838 | math_mc | The line $y = b-x$ with $0 < b < 4$ intersects the $y$-axis at $P$ and the line $x=4$ at $S$. If the ratio of the area of triangle $QRS$ to the area of triangle $QOP$ is 9:25, what is the value of $b$? Express the answer as a decimal to the nearest tenth.
[asy]
draw((0,-3)--(0,5.5),Arrows);
draw((4,-3.5)--(4,5),Arrows... | A | math_Geometry | mathematics | ||
math_1705 | math_mc | The increasing sequence $1,3,4,9,10,12,13\cdots$ consists of all those positive integers which are powers of 3 or sums of distinct powers of 3. Find the $100^{\mbox{th}}$ term of this sequence.
| C | math_Number Theory | mathematics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.