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 |
|---|---|---|---|---|---|---|---|
aquarat_35647 | deepmind/aqua_rat | Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A? | A. No Change B. +14.68% C. –14.68% D. Depends on the initial amount of a, b, c, d E. None of these | C. –14.68% | DETAILED SOLUTION
Since, tensile strength of A = a x b x c x d, If we assume initial tensile strength to be 100, we can apply successive % changes to arrive at the final figure
100 -30% ---> 70 (Any of the change can be carried out first, the result would be same)
70 + 30% ---> 91
91 + 25% ---> 113.75
113.75 – 25% --> ... | college_mathematics | mathematics |
pythonio_702 | pythonio-mc | Program:
from sys import maxsize
def max_sub_array_sum(a,size):
max_so_far = -maxsize - 1
max_ending_here = 0
start = 0
end = 0
s = 0
for i in range(0,size):
max_ending_here += a[i]
if max_so_far < max_ending_here:
max_so_far = max_ending_here
start = s
end = i
if max_ending_he... | D | code | computer_science | ||
NLP4Education_504 | NLP4Education | The $n^2$ problem ...
A. is addressed through advancements described by Moore's Law.
B. is a result of Murphy's Law in computer systems.
C. arises when $n$ users must communicate with each other using a symmetric cipher.
D. is a direct implication of the Kerchkhoffs Principle. | C. arises when $n$ users must communicate with each other using a symmetric cipher. | computer_security | computer_science | ||
mmlu_aux_train_92829 | mmlu_aux_train | Which property of Earth's interior keeps the innermost part in a solid state?
A. relatively low temperature
B. extremely high pressure
C. high rate of heat flow
D. low rate of radioactive decay | B. extremely high pressure | college_earth_science | earth_science | ||
math_1255 | math_mc | Compute the value of $k$ such that the equation
\[\frac{x + 2}{kx - 1} = x\]has exactly one solution. | C | math_Intermediate Algebra | mathematics | ||
aquarat_57079 | deepmind/aqua_rat | If a certain sample of data has a mean of 29.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | A. (26.0; 36.5) B. (24.5; 31.0) C. (22.0; 35.5) D. (26.5; 36.0) E. (25.0; 29.5) | C. (22.0; 35.5) | The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.
The values between 24 and 34 are within 2.5 standard deviations from the mean.
The answer is C. | high_school_statistics | mathematics |
pythonio_745 | pythonio-mc | Program:
import heapq as hq
def raw_heap(rawheap):
hq.heapify(rawheap)
return rawheap
Input:
raw_heap([4, 5, 6, 2])
Output: | B | code | computer_science | ||
allenai/sciq_9758 | allenai/sciq | What is the unit used to measure voltage?
A. watt
B. ohm
C. volts
D. ampere | C. volts | Electric current occurs whenever there is a difference in electric potential energy, or voltage. Voltage is measured in volts (V). | electrical_engineering | engineering | |
mmlu_aux_train_9646 | mmlu_aux_train | Facebook is now used by 30 million people in the UK,about half the population. Joanna Shields,vice president of Facebook Europe,made the announcement this morning at a media conference in London. She said: "We can announce today that we have reached 30 million in the UK,which we are really excited about." Globally,Face... | C. fast growing registered users | high_school_computer_science | computer_science | ||
aquarat_88310 | deepmind/aqua_rat | xa=yb=zc and y2=xz. Find b. | A. 2ac/a+c B. 7ac/a+c C. 1ac/a+c D. 6ac/a+c E. 3ac/a+c | A. 2ac/a+c | ANSWER : A | college_mathematics | mathematics |
math_22 | math_mc | A $100$-gon $P_1$ is drawn in the Cartesian plane. The sum of the $x$-coordinates of the $100$ vertices equals 2009. The midpoints of the sides of $P_1$ form a second $100$-gon, $P_2$. Finally, the midpoints of the sides of $P_2$ form a third $100$-gon, $P_3$. Find the sum of the $x$-coordinates of the vertices of ... | D | math_Algebra | mathematics | ||
math_1650 | math_mc | Suppose that $n$ is a positive integer such that in base $7$, then $n$ can be expressed as $\overline{ABC}_7$, and in base $11$, then $n$ can be expressed as $\overline{CBA}_{11}$. Find the largest possible value of $n$ in base $10$. | C | math_Number Theory | mathematics | ||
aquarat_30514 | deepmind/aqua_rat | Which resistive component is designed to be temperature sensitive? | A. 27 B. 66 C. 25 D. 18 E. 11 | A. 27 | Explanation:
No answer description available for this question. Let us discuss.
Answer: Option A | electrical_engineering | engineering |
mmlu_aux_train_86918 | mmlu_aux_train | People are so busy these days that many people have no time to cook. This becomes a problem, because most families love home cooking. The food tastes good and warm, and a family meal brings everyone together. In some families, meals are often the only times everyone sees one another at the same time. Another reason peo... | B. Manypeoplearetoobusy | high_school_computer_science | computer_science | ||
aquarat_20316 | deepmind/aqua_rat | If 150!/10^n is an integer, what is the largest possible value of n? | A. 38 B. 47 C. 32 D. 36 E. 37 | E. 37 | The question actually asks the highest power of 10 which divides 150! ( For a number to be an integer - Without any remainder all the trailing zeroe's must be divided by the denominator)
10 = 2 x 5
150 factorial will have 37 as -
150/5 = 30
30/5 = 6
6/5 =1
So answer will be (E) 37 | college_mathematics | mathematics |
math_1927 | math_mc | Simplify: $\sqrt{50} + \sqrt{18}$ . Express your answer in simplest radical form. | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_97196 | mmlu_aux_train | Which is a carnivore?
A. a cow
B. a caterpillar
C. a vegan
D. a shark | D. a shark | high_school_biology | biology | ||
NLP4Education_187 | NLP4Education | Fill the missing line of code: (one answer)
#code missing
np.mean(np.random.randn(1000))
A. import numpy as np
B. import numpy
C. from numpy import mean
D. import np | A. import numpy as np | coding | computer_science | ||
aquarat_10976 | deepmind/aqua_rat | If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of grass ? | A. Green B. BLUE C. PINK D. ORANCE E. BLACK | E. BLACK | Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of grass is 'Green' but in coding language, 'Green' is called 'Black'.
ANSWER: E | formal_logic | mathematics |
aquarat_71125 | deepmind/aqua_rat | The polynomial P(x) = x4 + 4x3 + 8x2 + 8x + 4 is the square of another polynomial Q(x) =
ax2 + bx + c with positive coecients a, b, and c. Compute 4a + 2b + c. | A. 2 B. 4 C. 6 D. 8 E. 10 | E. 10 | Note that Q(2) = 4a+2b+c and P(2) = [Q(2)]2 = 24+4*23+8 * 22+8* 2+4 = 100.
Since a, b, and c are positive, we have Q(2) > 0. Taking the positive square root, we get
Q(2) =√P(2) =√100 = 10 .
correct answer E | college_mathematics | mathematics |
math_1696 | math_mc | Suppose $a$ is an integer such that $0 \le a \le 14$, and $235935623_{74}-a$ is a multiple of $15$. What is $a$? | D | math_Number Theory | mathematics | ||
math_408 | math_mc | The equation $x^2-kx-12=0$ has only integer solutions for certain positive integers $k$. What is the sum of all such values of $k$? | D | math_Algebra | mathematics | ||
aquarat_41222 | deepmind/aqua_rat | emblem is coded as 216;
crude is coded as 125
bat will be ? | A. 45 B. 32 C. 27 D. 56 E. 64 | C. 27 | coding follows (no. of letters)^3
emblem = 216 = 6^3
crude = 125 = 5^3
bat = 3^3 =27
ANSWER:C | formal_logic | mathematics |
mmlu_aux_train_93702 | mmlu_aux_train | The topography of Nevada is dominated by basins and mountain ranges associated with which geological phenomena?
A. faults
B. trenches
C. hot spots
D. hydrothermal vents | A. faults | college_earth_science | earth_science | ||
mmlu_aux_train_18834 | mmlu_aux_train | Public caught up in argument over safety of genetically modified or simply GM products, report Zhang Lei and Zhong Nan in Beijing. More than 300 people gathered to enjoy a bowl of porridge made from genetically modified food on Saturday, an attempt to quell public fears about the safety of the product. The first China ... | C. To rid public of fears and worries about the safety of GM foods. | college_biology | biology | ||
allenai/sciq_1469 | allenai/sciq | What is the skeleton of the cell?
A. cell wall
B. cytoplasm
C. cytoskeleton
D. cell membrane | C. cytoskeleton | The cytoplasm consists of watery cytosol and cell structures. It has several functions. The cytoskeleton is the “skeleton” of the cell. It helps the cell keep its shape. | college_biology | biology | |
pythonio_338 | pythonio-mc | Program:
import re
def split_upperstring(text):
return (re.findall('[A-Z][^A-Z]*', text))
Input:
split_upperstring("ProgrammingLanguage")
Output: | C | code | computer_science | ||
mmlu_aux_train_29648 | mmlu_aux_train | One hundred and thirteen million Americans have at least one bank-issued credit card. They give their owners automatic credit in stores, restaurants, and hotels, at home, across the country, and even abroad, and they make many banking services available as well. More and more of these credit cards can be read automatic... | B. obtain more convenient services than other people do | college_computer_science | computer_science | ||
pythonio_203 | pythonio-mc | Program:
import cmath
def polar_rect(x,y):
cn = complex(x,y)
cn=cmath.polar(cn)
cn1 = cmath.rect(2, cmath.pi)
return (cn,cn1)
Input:
polar_rect(3,4)
Output: | A | code | computer_science | ||
mmlu_aux_train_95133 | mmlu_aux_train | Lightness may be seen reflected more clearly and brighter off of lighter colored objects, so an example would be
A. a mirror is unable to be dark
B. phone screens are barely reflective
C. a lilac door is easily seen
D. a black door is easily seen | C. a lilac door is easily seen | conceptual_physics | physics | ||
allenai/sciq_7374 | allenai/sciq | Making a specific statement based on a general principle is the definition of what type of reasoning?
A. transitive
B. inference
C. deductive
D. inductive | C. deductive | Deductive reasoning means making a specific statement based on a general principle. | formal_logic | mathematics | |
aquarat_87278 | deepmind/aqua_rat | If x ≠ 0 and x^2 - (2- x^2)/x^2 = y/x, then y = | A. -2/x B. x^2 − 2 C. 2x^2 − 2 D. x − 2 − x^2 E. x − 2 + x^2 | A. -2/x | x^2 - (2- x^2)/x^2 = y/x
-2/x^2 = y/x
y = -2/x
Answer : A | college_mathematics | mathematics |
aquarat_79681 | deepmind/aqua_rat | If
1 = 3
2 = 6
3 = 9
4 = 12
5 = 15
Then 9 = ?
Hint: Its a logic Riddle not a mathematical riddle | A. 1 B. 2 C. 3 D. 4 E. 5 | C. 3 | C
3
As stated
3=9 => 9=3
Answer is C | formal_logic | mathematics |
mmlu_aux_train_92852 | mmlu_aux_train | A shallow container of salt water is placed in sunlight for a day. Which is the most likely result?
A. All of the mixture will evaporate.
B. The salt will keep the water from evaporating.
C. The salt will separate from the water and float at the top of the container.
D. Only the water will evaporate and the salt will ... | D. Only the water will evaporate and the salt will remain in the container. | high_school_physics | physics | ||
allenai/sciq_4327 | allenai/sciq | Oxygenated blood is transported by what system?
A. pulmonary
B. nervous
C. circulatory
D. skeletal | C. circulatory | Oxygenated blood is transported by the circulatory system from lungs to tissues throughout the body. | high_school_biology | biology | |
math_339 | math_mc | What is the sum of the $x$-values that satisfy the equation $5=\frac{x^3-2x^2-8x}{x+2}$? | A | math_Algebra | mathematics | ||
aquarat_15787 | deepmind/aqua_rat | Which of the following are roots of an equation (x^-2)+(3x^-1)-10=0 | A. 1/5 and -1/2 B. -1/5 and 1/2 C. 1/5 and 1/2 D. -1/5 and -1/2 E. -5/2 and -1/2 | B. -1/5 and 1/2 | Given: (x^-2) + (3x^-1) - 10 = 0
Rewrite as: 1/(x²) + 3/x - 10 = 0
Remove fractions by multiplying both sides by x² to get: 1 + 3x - 10x² = 0
Rearrange to get: 10x² - 3x - 1 = 0
Factor to get: (5x + 1)(2x - 1) = 0
So, EITHER 5x + 1 OR 2x - 1 = 0
If 5x + 1 = 0, then x = -1/5
If 2x - 1 = 0, then x = 1/2
So, the roots (so... | college_mathematics | mathematics |
math_1921 | math_mc | Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth. | B | math_Prealgebra | mathematics | ||
allenai/sciq_6908 | allenai/sciq | In many cases, the alkali metal amide salt (mnh2) is not very soluble in liquid ammonia and does what?
A. evaporates
B. settles
C. precipitates
D. isolates | C. precipitates | where the (am) designation refers to an ammonia solution, analogous to (aq) used to indicate aqueous solutions. Without a catalyst, the reaction in Equation 21.20 tends to be rather slow. In many cases, the alkali metal amide salt (MNH2) is not very soluble in liquid ammonia and precipitates, but when dissolved, very c... | high_school_chemistry | chemistry | |
allenai/sciq_3648 | allenai/sciq | What is the distance between the nuclei of two identical atoms bonded together called?
A. sleep radius
B. bond radius
C. cycle radius
D. atomic radius | D. atomic radius | Atomic radius is determined as the distance between the nuclei of two identical atoms bonded together. | high_school_chemistry | chemistry | |
mmlu_aux_train_12582 | mmlu_aux_train | prefix = st1 /Mauritius, with its full name the Republic of Mauritius, an island country, lies 1,200 miles off the southeastern coast of Africa, and just east of Madagascar, another African island country, which is larger by far thanMauritius. It covers 788 square miles and has a population of 1,00,000, about 750.000 I... | D. The French and British people | high_school_biology | biology | ||
pythonio_261 | pythonio-mc | Program:
def average_tuple(nums):
result = [sum(x) / len(x) for x in zip(*nums)]
return result
Input:
average_tuple(((10, 10, 10, 12), (30, 45, 56, 45), (81, 80, 39, 32), (1, 2, 3, 4)))
Output: | C | code | computer_science | ||
math_241 | math_mc | If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$? | B | math_Algebra | mathematics | ||
mmlu_aux_train_94018 | mmlu_aux_train | Earth is about 81 times more massive than the Moon. How will the mass and weight of a rocket on the Moon compare to its mass and weight on Earth?
A. The mass and weight will be less on the Moon.
B. The mass and weight will be greater on the Moon.
C. The mass will be the same, but its weight will be less on the Moon.
D... | C. The mass will be the same, but its weight will be less on the Moon. | conceptual_physics | physics | ||
mmlu_aux_train_22614 | mmlu_aux_train | Although American children still spend part of their days reading, they are spending less time doing it for pleasure than years ago, with large gaps in proficiency ,according to a recent report. "It raises an alarm," said Vicky Rideout, the lead author of the report. "We're witnessing a really large drop in reading am... | D. Black children have lower proficiency in reading than white children. | high_school_statistics | mathematics | ||
mmlu_aux_train_48199 | mmlu_aux_train | FRIDAY, Aug. 3 (Health Day News) -- Middle school students who are physically fit are likely to score higher on standardized tests measuring reading and math abilities, a new study has found. And, the average scores went up in connection with levels of fitness, the findings showed. "The more physically fit kids were, t... | B. By giving some basic information. | clinical_knowledge | biology | ||
allenai/sciq_186 | allenai/sciq | Many hydrocarbons are cyclic and adopt specific three-dimensional structures that influence their physical and what properties?
A. liquid
B. electrical
C. chemical
D. radiation | C. chemical | Many hydrocarbons are cyclic and adopt specific three-dimensional structures that influence their physical and chemical properties. | college_chemistry | chemistry | |
math_94 | math_mc | Suppose $a$, $b,$ and $c$ are positive numbers satisfying: \begin{align*}
a^2/b &= 1, \\
b^2/c &= 2, \text{ and}\\
c^2/a &= 3.
\end{align*} Find $a$. | A | math_Algebra | mathematics | ||
pythonio_555 | pythonio-mc | Program:
def min_k(test_list, K):
res = sorted(test_list, key = lambda x: x[1])[:K]
return (res)
Input:
min_k([('tanmay', 14), ('Amer', 11), ('Ayesha', 9), ('SKD', 16)], 1)
Output: | D | code | computer_science | ||
NLP4Education_414 | NLP4Education | Consider a public key cryptosystem. The channel used to transmit the public key has to be…
A. encrypted.
B. authenticated.
C. confidential.
D. authenticated and confidential. | B. authenticated. | computer_security | computer_science | ||
aquarat_38821 | deepmind/aqua_rat | 1(1!)+2(2!)+3(3!)....2012(2012!) = ? | A. 1 B. 5 C. 6 D. 7 E. 8 | A. 1 | 1(1!)=1 ⇒⇒ 2!-1
1(1!)+2(2!)=1+4=5 ⇒⇒ 3!-1
1(1!)+2(2!)+3(3!)=1+4+18=23 ⇒⇒ 4!-1
Answer:A | college_mathematics | mathematics |
pythonio_92 | pythonio-mc | Program:
def count_digits(num1,num2):
number=num1+num2
count = 0
while(number > 0):
number = number // 10
count = count + 1
return count
Input:
count_digits(98759853034,100)
Output: | A | code | computer_science | ||
pythonio_530 | pythonio-mc | Program:
def tuple_to_dict(test_tup):
res = dict(test_tup[idx : idx + 2] for idx in range(0, len(test_tup), 2))
return (res)
Input:
tuple_to_dict((7, 8, 9, 10, 11, 12))
Output: | A | code | computer_science | ||
allenai/sciq_4351 | allenai/sciq | What is another term for the parabolic motion of a thrown object?
A. simple motion
B. projectile motion
C. newtonian motion
D. regular motion | B. projectile motion | In this chapter, we aim to understand and explain the parabolic motion of a thrown object, known as projectile motion. Motion in one direction is unrelated to motion in other perpendicular directions. Once the object has been thrown, the only acceleration is in the (up/down) direction. The (right/left) direction veloci... | high_school_physics | physics | |
mmlu_aux_train_7263 | mmlu_aux_train | Students often complain their teachers give them too much homework . Now , two reports show that in America this is not true . The Brookings report shows that most students do less than one hour of homework . The Rand report shows that only 10% of high school students spend more than two hours a night on homework . The... | A. too much homework | high_school_computer_science | computer_science | ||
mmlu_aux_train_78927 | mmlu_aux_train | In nature, you may see many insects and animals of different colors. Have you ever wondered why? Locusts are super delicious food for birds,but it is not always an easy job for birds to catch them.It is neither because locusts are good jumpers or runners nor because they are smarter than their enemies. The reason is t... | D. locusts can change their color | high_school_biology | biology | ||
NLP4Education_387 | NLP4Education | The Fermat Test outputs ‘maybe prime’ with probability which may be high even though $n$ is composite when ...
A. $n$ is an even composite.
B. $n$ is a Carmichael number.
C. $n$ is a perfect square.
D. $n$ is a power of two. | B. $n$ is a Carmichael number. | college_mathematics | mathematics | ||
allenai/sciq_8432 | allenai/sciq | Who is said to have dropped two objects of different masses from the tower of pisa?
A. copernicus
B. newton
C. galileo
D. darwin | C. galileo | Galileo’s Experiment Galileo is said to have dropped two objects of different masses from the Tower of Pisa. He measured how long it took each to reach the ground. Since stopwatches weren’t readily available, how do you think he measured their fall time? If the objects were the same size, but with different masses, wha... | college_physics | physics | |
aquarat_39482 | deepmind/aqua_rat | 189. The inside dimensions of a rectangular wooden box
are 10 inches by 12 inches by 14 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has ... | A. 3 B. 4 C. 5 D. 6 E. 8 | D. 6 | Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 14x12 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 12, so the radius w... | college_mathematics | mathematics |
mmlu_aux_train_37162 | mmlu_aux_train | WASHINGTON--Two-thirds of the world's polar bear population could be gone by 2050 if predictions of melting sea ice hold true, the US Geological Survey reported on Friday. The fate of polar bears could be even worse than that estimate, because sea ice in the Arctic might be disappearing faster than the available comput... | A. To determine whether the polar bear was in danger. | high_school_biology | biology | ||
aquarat_8184 | deepmind/aqua_rat | A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values are within three standard deviations of the mean? | A. 0 B. 1 C. 3 D. 6 E. 7 | C. 3 | Mean = -1
Standard Deviation = 1/8
1 unit of standard deviation BELOW the mean = -1 - 1/8 = -1 1/8
2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 = -1 2/8
2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 - 1/8 = -1 3/8
1 unit of standard deviation ABOVE the mean = -1 + 1/8 = -7/8
2 units of ... | high_school_statistics | mathematics |
aquarat_3701 | deepmind/aqua_rat | If ab+bc+ca=0,What is the value of a^2+b^2+c^2? | A. (a^2+b^2+c^2)/2 B. (a+b+c)^2 C. (a^2+b^2+c^2)^2 D. a+b+c E. c+a+b | B. (a+b+c)^2 | The option B is correct.
The formula (a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca).
(a+b+c)^2=a^2+b^2+c^2+2(0).
a^2+b^2+c^2=(a+b+c)^2 is the answer | college_mathematics | mathematics |
math_317 | math_mc | What is the value of $c$ if $x\cdot(3x+1)<c$ if and only when $x\in \left(-\frac{7}{3},2\right)$? | D | math_Algebra | mathematics | ||
math_915 | math_mc | Triangle $PAB$ is formed by three tangents to circle $O$ and $\angle APB = 40^\circ$. Find $\angle AOB$.
[asy]
import graph;
unitsize(1.5 cm);
pair A, B, O, P, R, S, T;
R = dir(115);
S = dir(230);
T = dir(270);
P = extension(R, R + rotate(90)*(R), T, T + rotate(90)*(T));
A = extension(S, S + rotate(90)*(S), T, T +... | D | math_Geometry | mathematics | ||
mmlu_aux_train_1383 | mmlu_aux_train | Which of the following is formed immediately after fertilization?
A. egg
B. sperm
C. zygote
D. embryo | C. zygote | high_school_biology | biology | ||
NLP4Education_476 | NLP4Education | Confidentiality means that:
A. the message can be read by anyone.
B. information should not leak to any unexpected party.
C. the message should make clear who the author is.
D. the information must be protected against any malicious modification. | B. information should not leak to any unexpected party. | computer_security | computer_science | ||
pythonio_592 | pythonio-mc | Program:
def remove_length(test_str, K):
temp = test_str.split()
res = [ele for ele in temp if len(ele) != K]
res = ' '.join(res)
return (res)
Input:
remove_length('If you told me about this ok', 4)
Output: | B | code | computer_science | ||
aquarat_50920 | deepmind/aqua_rat | The function f(K) represents the number of ways that prime numbers can be uniquely summed to form a certain number K such that K = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)? | A. 4 B. 5 C. 6 D. 7 E. 8 | D. 7 | Lets start with 2 and check whether sum of two primes is primes is even.
1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7
Answer: D | college_mathematics | mathematics |
mmlu_aux_train_40370 | mmlu_aux_train | Your computer has been playing music for years, one CD at a time. Now hundreds of songs can be stored in your PC (personal computer) if they're in the MP3 format. What is it? MP3 compresses music into small computer friendly files. You access MP3 music several ways : Music can be downloaded from websites that have conv... | D. By downloading from websites which have converted music libraries into MP3. | computer_security | computer_science | ||
allenai/sciq_3486 | allenai/sciq | What is the general composition of the continental crust?
A. granite
B. limestone
C. marble
D. sandstone | A. granite | The average composition of continental crust is granite. | college_earth_science | earth_science | |
pythonio_386 | pythonio-mc | Program:
import re
def replace(string, char):
pattern = char + '{2,}'
string = re.sub(pattern, char, string)
return string
Input:
replace('Greek','e')
Output: | D | code | computer_science | ||
allenai/sciq_5955 | allenai/sciq | What do gametes undergo to produce many additional copies of themselves?
A. prophase
B. mitosis
C. cytokinesis
D. angiogenesis | B. mitosis | Life Cycles of Algae: Zygotic Meiosis (A), Gametic Meiosis (B) and Sporic Meiosis (C). In life cycle A (left), diploid (2n) zygotes result from fertilization and then undergo meiosis to produce haploid (n) gametes. The gametes undergo mitosis and produce many additional copies of themselves. How are life cycles B and C... | college_biology | biology | |
mmlu_aux_train_58025 | mmlu_aux_train | What is IRC? IRC is Internet Relay Chat. It is a group of networked server computers that let users connect and pass their messages among the networked servers in almost real time. In other words, it is a big chatting server, once you join a group, you are able to talk in an open forum type environment or just one on ... | D. chatting networks | high_school_computer_science | computer_science | ||
allenai/sciq_4252 | allenai/sciq | Each line in a structural formula represents a pair of shared what?
A. electrons
B. waves
C. atoms
D. ions | A. electrons | high_school_chemistry | chemistry | ||
mmlu_aux_train_21359 | mmlu_aux_train | A college student has turned the act of telling someone off into an art form. Lama Ali, who attend school in Virginia, had three final assignments due on the same day for her fashion drawing class. Exhausted after working on painting for seven hours straight, the 20-year-old decided to include a message in American Sig... | B. You really worn me out. | high_school_computer_science | computer_science | ||
allenai/sciq_698 | allenai/sciq | Thermodynamics do not give us any insight into what attribute of spontaneous processes?
A. rate
B. acceleration
C. decrease
D. increase | A. rate | It should be noted that just because a process is spontaneous does not mean that it occurs quickly. The rusting of iron is a spontaneous process that takes place over a long period of time. The combustion of gasoline in oxygen (also a spontaneous process) is extremely fast when provided with a spark, but gasoline can b... | college_chemistry | chemistry | |
math_2175 | math_mc | Let $O$ and $H$ denote the circumcenter and orthocenter of triangle $ABC,$ respectively. If $AO = AH,$ then enter all possible values of $\angle A$ (in degrees), separated by commas. | B | math_Precalculus | mathematics | ||
allenai/sciq_4450 | allenai/sciq | When you are walking on a sidewalk, what occurs between your shoes and the concrete each time you put down your foot?
A. movement
B. progress
C. grip
D. static friction | D. static friction | Static friction acts on objects when they are resting on a surface. For example, if you are walking on a sidewalk, there is static friction between your shoes and the concrete each time you put down your foot (see Figure below ). Without this static friction, your feet would slip out from under you, making it difficult... | high_school_physics | physics | |
NLP4Education_290 | NLP4Education | Recall that the hard-margin SVM problem corresponds to:
$$ \underset{\substack{\ww \in \R^d, \ \forall i:\ y_i \ww^\top \xx_i \geq 1}}{\min} \Vert \ww \Vert_2.$$
Now consider the $2$-dimensional classification dataset corresponding to the $3$ following datapoints: $\xx_1 = (-1, 2)$, $\xx_2 = (1, 2)$, $\xx_3 = (0, -2)$ ... | D. None of the other statements are true. | machine_learning | computer_science | ||
allenai/sciq_8668 | allenai/sciq | What force is greater on rougher surfaces than smooth surfaces?
A. friction
B. acceleration
C. tension
D. gravity | A. friction | Rougher surfaces have more friction between them than smoother surfaces. That’s why we put sand on icy sidewalks and roads. The blades of skates are much smoother than the soles of shoes. That’s why you can’t slide as far across ice with shoes as you can with skates (see Figure below ). The rougher surface of shoes cau... | conceptual_physics | physics | |
pythonio_787 | pythonio-mc | Program:
def sort_String(str) :
str = ''.join(sorted(str))
return (str)
Input:
sort_String("data")
Output: | B | code | computer_science | ||
mmlu_aux_train_96579 | mmlu_aux_train | When light energy enters a prism it emits all the colors by
A. deflecting the light
B. reflecting the light
C. consuming the light
D. refracting the light | D. refracting the light | high_school_physics | physics | ||
aquarat_79471 | deepmind/aqua_rat | A 7% stock yields 10%. The market value of the stock is: | A. Rs 60 B. Rs 70 C. Rs 90 D. Rs 75 E. Rs 50 | B. Rs 70 | Explanation:
For an income of Rs. 10, investment = Rs. 100.
For an income of Rs 7, investment =Rs.100/10 X7 =Rs 70
Market value of Rs. 100 stock = Rs. 70
Answer is B | college_mathematics | mathematics |
NLP4Education_708 | NLP4Education | Given this program snippet which is part of a large (> 10000 LoC) codebase,
which of these statements are true, given that the contents of string "s"
are attacker controlled, the attacker can run the function f only once, the
attacker has access to the binary and the binary is compiled for x86_64 on
a m... | B. If this program is compiled with stack canaries and no other mitigation, an attacker can leak the canary. | computer_security | computer_science | ||
NLP4Education_21 | NLP4Education | Select all valid answers about UNIX-like shell.
A. The shell is a program, that runs in kernel-space.
B. The shell is a user interface for UNIX-like systems.
C. The shell is a function inside kernel.
D. The shell must run only in a single instance. Multiple running instances cause memory corruption. | B. The shell is a user interface for UNIX-like systems. | computer_security | computer_science | ||
aquarat_20130 | deepmind/aqua_rat | Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come.
Conclusions:
1) The population of developing countries will not continue to increase in future.
2) It will be very difficult for the governments of developing countries to provide i... | A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow | B. Only conclusion II follows | The fact given in I is quite contrary to the given statement. So, I does not follow. II mentions the direct implications of the state discussed in the statement. Thus, II follows.
B | formal_logic | mathematics |
math_509 | math_mc | Crestwood Elementary School has an active four-square league, consisting of ten players, including Justin and Tim. Each day at recess, the ten players split into two four-square games, each with five players in no relevant order. Over the course of a semester, each possible match-up of five players occurs once. How man... | A | math_Counting & Probability | mathematics | ||
allenai/sciq_10652 | allenai/sciq | Water behind a dam has potential energy. moving water, such as in a waterfall or a rapidly flowing river, has this?
A. residual energy
B. kinetic energy
C. thermal energy
D. compression energy | B. kinetic energy | Figure 6.6 Water behind a dam has potential energy. Moving water, such as in a waterfall or a rapidly flowing river, has kinetic energy. (credit “dam”: modification of work by "Pascal"/Flickr; credit “waterfall”: modification of work by Frank Gualtieri). | conceptual_physics | physics | |
allenai/sciq_5019 | allenai/sciq | What is the earths crust composed of?
A. bicellular rock
B. igneuos rock
C. sedimentary rock
D. metamorphic rock | B. igneuos rock | Like Earth, the Moon has a distinct crust, mantle, and core. The crust is composed of igneous rock. This rock is rich in the elements oxygen, silicon, magnesium, and aluminum. On the near side, the Moon’s crust is about 30 kilometers thick. On the far side, the crust is about 100 kilometers thick. The mantle is made of... | earth_sciences | earth_science | |
allenai/sciq_418 | allenai/sciq | What is the first step in the breakdown of glucose to extract energy for cellular metabolism?
A. glycolysis
B. photosynthesis
C. mitosis
D. mutation | A. glycolysis | 7.2 | Glycolysis By the end of this section, you will be able to: • Describe the overall result in terms of molecules produced in the breakdown of glucose by glycolysis • Compare the output of glycolysis in terms of ATP molecules and NADH molecules produced You have read that nearly all of the energy used by living cel... | college_biology | biology | |
aquarat_28802 | deepmind/aqua_rat | The sequence a1, a2, … , an, … is such that an=2an−1−x for all positive integers n ≥ 2 and for certain number x. If a5=99 and a3=27, what is the value of x? | A. 3 B. 9 C. 18 D. 36 E. 45 | A. 3 | a5= 2*a4 - x = 99
a4 = 2*a3 - x = 2*27 - x
therefore;
a5 = 2*(54 - x ) -x = 99
108 - 3*x = 99
therefore X = 3
This the answer is "A" | college_mathematics | mathematics |
mmlu_aux_train_1429 | mmlu_aux_train | Scientists use models that show the features of an atom. A scientist should use a model that
A. was the first to be developed
B. was most recently developed
C. shows the arrangement most clearly
D. shows the details needed for a specific purpose | D. shows the details needed for a specific purpose | high_school_chemistry | chemistry | ||
pythonio_194 | pythonio-mc | Program:
import heapq
def expensive_items(items,n):
expensive_items = heapq.nlargest(n, items, key=lambda s: s['price'])
return expensive_items
Input:
expensive_items([{'name': 'Item-1', 'price': 101.1},{'name': 'Item-2', 'price': 555.22}, {'name': 'Item-3', 'price': 45.09},{'name': 'Item-4', 'price': 22.75}],1)... | B | code | computer_science | ||
math_57 | math_mc | Evaluate the sum \[\frac{1}{3^1} + \frac{2}{3^2} + \frac{3}{3^3} + \cdots + \frac{k}{3^k} + \cdots \] | A | math_Algebra | mathematics | ||
pythonio_96 | pythonio-mc | Program:
def take_L_and_F_set_bits(n) :
n = n | n >> 1
n = n | n >> 2
n = n | n >> 4
n = n | n >> 8
n = n | n >> 16
return ((n + 1) >> 1) + 1
def toggle_F_and_L_bits(n) :
if (n == 1) :
return 0
return n ^ take_L_and_F_set_bits(n)
Input:
toggle_F_and_L_bits(... | C | code | computer_science | ||
mmlu_aux_train_94092 | mmlu_aux_train | Which describes a specific characteristic necessary for survival in the desert?
A. conserving water
B. hiding from predators
C. hibernating for long periods
D. producing many offspring | A. conserving water | high_school_biology | biology | ||
allenai/sciq_2078 | allenai/sciq | Do most substances increase or decrease in size when they change from a liquid to a solid?
A. increase
B. stay the same
C. it is unable to be measured
D. decrease | D. decrease | This is how ice wedging works. When liquid water changes into solid ice, it increases in volume. You see this when you fill an ice cube tray with water and put it in the freezer. The ice cubes go to a higher level in the tray than the water. You also may have seen this if you put a can of soda into the freezer so that ... | high_school_chemistry | chemistry | |
aquarat_60153 | deepmind/aqua_rat | Calculate the value of z from the below equation: z^2−4z+6=0 | A. 6 B. 5 C. 2 D. 1 E. 3 | C. 2 | Use elimination method to find the correct option. you find that of all the options 2 is the correct value for z
Answer: C | college_mathematics | mathematics |
mmlu_aux_train_76666 | mmlu_aux_train | June is from England. Her family are in Beijing now. She is fourteen years old. The date of her birth is September seventh. Her father, Mr Smith, is an English teacher. And her mother, Mrs Smith, is an English teacher, too. They all like Chinese movies. Mr Smith likes action movies. He thinks they are really exciting. ... | D. an English girl | high_school_computer_science | computer_science | ||
aquarat_5210 | deepmind/aqua_rat | The probability of rain showers in Barcelona on any given day is 0.7. What is the probability that it will rain on exactly one out of three straight days in Barcelona? | A. 0.189 B. 0.072 C. 0.432 D. 0.72 E. 0.288 | A. 0.189 | IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!
Hence,
0.7*0.3*0.3 + 0.3*0.7*0.3 + 0.3*0.3*0.7 = 0.189
Option - A | high_school_statistics | mathematics |
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