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 |
|---|---|---|---|---|---|---|---|
math_628 | math_mc | A 5x5x5 cube is formed by assembling 125 unit cubes. Nine unit squares are painted on each of the six faces of the cube according to the pattern shown. How many of the 125 unit cubes have no paint on them? [asy]
fill((2,0)--(3,0)--(3,5)--(2,5)--cycle,gray(.7));
fill((0,2)--(0,3)--(5,3)--(5,2)--cycle,gray(.7));
path p=(... | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_43900 | mmlu_aux_train | Statistics show that every year, about 4 million students fail to pass the national college entrance exam. However, as China recently publicized students' scores for this year's college entrance exam, it seems that schools, parents and society at large give more attention to students who succeed in the exam, few people... | B. Students who failed the college entrance exam may suffer from some mental problems. | high_school_statistics | mathematics | ||
allenai/sciq_1567 | allenai/sciq | The acidity of a solution is typically assessed experimentally by measurement of its what?
A. density
B. ph
C. mass
D. color | B. ph | The acidity of a solution is typically assessed experimentally by measurement of its pH. The pOH of a solution is not usually measured, as it is easily calculated from an experimentally determined pH value. The pH of a solution can be directly measured using a pH meter (Figure 14.4). | high_school_chemistry | chemistry | |
allenai/sciq_5632 | allenai/sciq | What causes a small scrap of paper placed on top of the water droplet to float , although the object is denser (heavier) than the water?
A. van der waals force
B. transfusion
C. diffusion
D. surface tension | D. surface tension | a small scrap of paper onto a droplet of water, the paper floats on top of the water droplet, although the object is denser (heavier) than the water. This occurs because of the surface tension that is created by the water molecules. Cohesion and surface tension keep the water molecules intact and the item floating on t... | conceptual_physics | physics | |
math_928 | math_mc | In triangle $ABC$ the medians $\overline{AD}$ and $\overline{CE}$ have lengths $18$ and $27$, respectively, and $AB=24$. Extend $\overline{CE}$ to intersect the circumcircle of $ABC$ at $F$. The area of triangle $AFB$ is $m\sqrt{n}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any ... | D | math_Geometry | mathematics | ||
aquarat_87450 | deepmind/aqua_rat | What is the sum of all possible solutions to |x + 3|^2 + |x + 3| = 20 ? | A. -1 B. 6 C. 7 D. 12 E. 14 | C. 7 | Denote |x + 3| as y: y^2 + y = 20 --> y = -5 or y = 4. Discard the first solution since y = |x + 3|, so it's an absolute value and thus cannot be negative.
y = |x + 3| = 4 --> x = 7 . The sum = 7.
Answer: C. | college_mathematics | mathematics |
allenai/sciq_2460 | allenai/sciq | What term is used to describe the tendency of a mineral to break along certain planes?
A. tooth decay
B. porosis
C. erosion
D. cleavage | D. cleavage | Cleavage is the tendency of a mineral to break along certain planes. When a mineral breaks along a plane, it makes a smooth surface. Minerals with different crystal structures will break or cleave in different ways ( Figure below ). Halite tends to form cubes with smooth surfaces. Mica tends to form sheets. Fluorite ca... | college_geology | earth_science | |
pythonio_223 | pythonio-mc | Program:
def sum_average(number):
total = 0
for value in range(1, number + 1):
total = total + value
average = total / number
return (total,average)
Input:
sum_average(20)
Output: | B | code | computer_science | ||
mmlu_aux_train_99741 | mmlu_aux_train | Which likely needs the least food?
A. a cat
B. a snake
C. a shark
D. a dog | B. a snake | high_school_biology | biology | ||
aquarat_23883 | deepmind/aqua_rat | The distance between two stars is 3 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years) | A. 3.1 × 10^4 B. 9.2 × 10^4 C. 9.7 × 10^5 D. 8.5 × 10^6 E. 7.1 × 10^7 | B. 9.2 × 10^4 | 3 × 10^5 ly / (3.26 ly/parsec) = (3/3.26) x 10^5 = 0.92 x 10^5 = 9.2 x 10^4 parsec
The answer is B. | astronomy | physics |
mmlu_aux_train_58937 | mmlu_aux_train | When people search online, they leave a trail that remains stored on the central computers of firms such as Google, Yahoo and Microsoft. Analyzing what we're looking for on the Web can offer a remarkable understanding of our anxieties and enthusiasms. UK writer John Battelle wrote on his blog, "This can tell us extraor... | C. using its search engine | computer_security | computer_science | ||
pythonio_934 | pythonio-mc | Program:
def Average(lst):
return sum(lst) / len(lst)
Input:
Average([15, 9, 55, 41, 35, 20, 62, 49])
Output: | A | code | computer_science | ||
math_1909 | math_mc | If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9? Express your answer as a common fraction. | B | math_Prealgebra | mathematics | ||
math_592 | math_mc | Consider sequences that consist entirely of $A$'s and $B$'s and that have the property that every run of consecutive $A$'s has even length, and every run of consecutive $B$'s has odd length. Examples of such sequences are $AA$, $B$, and $AABAA$, while $BBAB$ is not such a sequence. How many such sequences have length 1... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_32063 | mmlu_aux_train | India now leads the world in smartphone growth. It saw a 55% increase in the number of smartphones in 2014. The number of Web users increased by 37%. Smartphones were the source of 65 % of its Internet traffic and 41 % of its e-commerce, according to a report by the analyst Mary Meeker, titled "Internet Trends 2015". I... | C. Get their smartphones. | high_school_computer_science | computer_science | ||
math_407 | math_mc | Tiffany is constructing a fence around a rectangular tennis court. She must use exactly 300 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet and the width must be at least 40 feet. Tiffany wants the area enclosed by th... | D | math_Algebra | mathematics | ||
math_11 | math_mc | If $f(x)$ is a function defined only for $0 \le x \le 1$, and $f(x) = ax+b$ for constants $a$ and $b$ where $a < 0$, then what is the range of $f$ in terms of $a$ and $b$? Express your answer in interval notation. | C | math_Algebra | mathematics | ||
mmlu_aux_train_93966 | mmlu_aux_train | In the lab, students are working with substances that could cause burns. Which of these safety precautions is most important to follow?
A. Sinks are empty.
B. Glassware is clean.
C. Eye protection is worn.
D. Electrical equipment is off. | C. Eye protection is worn. | high_school_chemistry | chemistry | ||
mmlu_aux_train_92909 | mmlu_aux_train | In many caves, rock formations include stalactites and stalagmites. Where does the rock in these formations come from?
A. magma
B. rainwater
C. dissolved minerals
D. decaying organic matter | C. dissolved minerals | college_earth_science | earth_science | ||
mmlu_aux_train_1626 | mmlu_aux_train | Which of the following keeps the planets in our solar system in orbit around the Sun?
A. atmospheric pressure
B. gravitational force
C. electromagnetic energy
D. thermal energy | B. gravitational force | astronomy | physics | ||
allenai/sciq_1950 | allenai/sciq | The reaction rate usually increases as the concentration of what increases?
A. reactants
B. complexes
C. generators
D. mutations | A. reactants | Concentration Effects Two substances cannot possibly react with each other unless their constituent particles (molecules, atoms, or ions) come into contact. If there is no contact, the reaction rate will be zero. Conversely, the more reactant particles that collide per unit time, the more often a reaction between them ... | high_school_chemistry | chemistry | |
aquarat_11171 | deepmind/aqua_rat | Statement: Put thechild in school at the age of 5. Assumptions: At that age the child reaches appropriate level of development and is ready to learn. The schools do not admit children after 6years of age. | A. Only assumption I is implicit B. Only assumption II is implicit C. Either I or II is implicit D. Neither I nor II is implicit E. Both I and II are implicit | A. Only assumption I is implicit | Since the statement talks of putting the child in school at the age of 5, it means that the child is mentally prepared for the same at this age. So, I is implicit. But nothing about admission after 6 years of age is mentioned in the statement. So, II is not implicit.
A | formal_logic | mathematics |
mmlu_aux_train_33265 | mmlu_aux_train | Jeffrey Bezos, founder, president and chairman of the board of Amazon.com, was born in Albuquerque, New Mexico. His mother's ancestors were early settlers in Texas, and over the generations had acquired a 25,000 acre farm at Cotulla. Jeffrey spent most summers of his youth working with his grandfather on their farm. Je... | B. showed great interest in science | high_school_computer_science | computer_science | ||
aquarat_7520 | deepmind/aqua_rat | A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales? | A. 12% B. 15% C. 45% D. 52% E. 56% | A. 12% | (12/170)/(4/50) = 15/17 = 88% it means that 12/170 represents only 88%. Therefore a decrease of 12%.
Answer A | college_mathematics | mathematics |
mmlu_aux_train_98684 | mmlu_aux_train | A telescope is required for detailed observation of what?
A. mountains
B. oceans
C. clouds
D. astral bodies | D. astral bodies | astronomy | physics | ||
pythonio_517 | pythonio-mc | Program:
def set_middle_bits(n):
n |= n >> 1;
n |= n >> 2;
n |= n >> 4;
n |= n >> 8;
n |= n >> 16;
return (n >> 1) ^ 1
def toggle_middle_bits(n):
if (n == 1):
return 1
return n ^ set_middle_bits(n)
Input:
toggle_middle_bits(9)
Output: | C | code | computer_science | ||
pythonio_78 | pythonio-mc | Program:
def first_repeated_word(str1):
temp = set()
for word in str1.split():
if word in temp:
return word;
else:
temp.add(word)
return 'None'
Input:
first_repeated_word("ab ca bc")
Output: | B | code | computer_science | ||
pythonio_49 | pythonio-mc | Program:
def max_sum_increasing_subsequence(arr, n):
max = 0
msis = [0 for x in range(n)]
for i in range(n):
msis[i] = arr[i]
for i in range(1, n):
for j in range(i):
if (arr[i] > arr[j] and
msis[i] < msis[j] + arr[i]):
msis[i] = msis[j] + arr[i]
for i in range(n):
if max < msi... | A | code | computer_science | ||
pythonio_892 | pythonio-mc | Program:
import sys
def find_closet(A, B, C, p, q, r):
diff = sys.maxsize
res_i = 0
res_j = 0
res_k = 0
i = 0
j = 0
k = 0
while(i < p and j < q and k < r):
minimum = min(A[i], min(B[j], C[k]))
maximum = max(A[i], max(B[j], C[k]));
if maximum-minimum < diff:
res_i = i
res_j = ... | C | code | computer_science | ||
mmlu_aux_train_18432 | mmlu_aux_train | Computers are very important to modern life.Many people think that in the future computers will be used in lots of everyday life.It is thought that we won't have to go shopping because we will be able to get most things which are sold in shops on the Internet.There will be no more books because we will be able to get a... | C. Computers are important | high_school_computer_science | computer_science | ||
math_1204 | math_mc | Compute \[\lfloor 1 \rfloor + \lfloor 1.6 \rfloor + \lfloor 2.2 \rfloor + \lfloor 2.8 \rfloor + \dots + \lfloor 99.4 \rfloor + \lfloor 100 \rfloor,\]where the arguments of the floor functions are in arithmetic progression. | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_8175 | allenai/sciq | What are found primarily in lines around the edges of some continents?
A. glaciers
B. volcanoes
C. earthquakes
D. Reefs | C. earthquakes | When earthquake epicenters are put on a map, they outline the plates . This is because the earthquakes where the plates come into contact with each other. Earthquakes are found primarily in lines around the edges of some continents. They are also found through the centers of some oceans. Some occur in patches in some l... | college_earth_science | earth_science | |
mmlu_aux_train_95932 | mmlu_aux_train | Replacing a natural resource can be
A. refilling a lake that evaporated
B. planting a flower in a garden
C. growing a bush in a yard
D. planting a berry patch | A. refilling a lake that evaporated | high_school_biology | biology | ||
allenai/sciq_9526 | allenai/sciq | What enthalpy change is observed in an exothermic reaction?
A. negative
B. positive
C. no change
D. entropy | A. negative | The reaction is exothermic and thus the sign of the enthalpy change is negative. | high_school_chemistry | chemistry | |
math_2202 | math_mc | Points $A,$ $B,$ $C,$ and $D$ are equally spaced along a line such that $AB = BC = CD.$ A point $P$ is located so that $\cos \angle APC = \frac{4}{5}$ and $\cos \angle BPD = \frac{3}{5}.$ Determine $\sin (2 \angle BPC).$ | B | math_Precalculus | mathematics | ||
math_1634 | math_mc | The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers $(x,y)$ with $x<y$ is the harmonic mean of $x$ and $y$ equal to $6^{20}$?
| C | math_Number Theory | mathematics | ||
math_1 | math_mc | What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+3$? | D | math_Algebra | mathematics | ||
mmlu_aux_train_80412 | mmlu_aux_train | There is an old man living with his granddaughter. Every morning the old man goes out for a walk in the park and comes home at half past twelve for lunch. But one morning a police car stops outside the house at twelve. One of the policemen says , "The old man can't find his way home in the park and call us for help, so... | D. His granddaughter. | formal_logic | mathematics | ||
mmlu_aux_train_95566 | mmlu_aux_train | which one of these could eventually facilitate an intoxicating drink?
A. a serving of pie
B. all of these
C. a cob of corn
D. a stick of ice cream | C. a cob of corn | college_chemistry | chemistry | ||
math_1248 | math_mc | Let $x$ and $y$ be positive real numbers. Find the minimum value of
\[\left( x + \frac{1}{y} \right) \left( x + \frac{1}{y} - 2018 \right) + \left( y + \frac{1}{x} \right) \left( y + \frac{1}{x} - 2018 \right).\] | B | math_Intermediate Algebra | mathematics | ||
pythonio_776 | 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]],0,7)
Output: | C | code | computer_science | ||
pythonio_937 | pythonio-mc | Program:
def get_noOfways(n):
if (n == 0):
return 0;
if (n == 1):
return 1;
return get_noOfways(n - 1) + get_noOfways(n - 2);
Input:
get_noOfways(3)
Output: | A | code | computer_science | ||
math_1845 | math_mc | There are approximately 0.4536 kilograms in a pound. To the nearest whole pound, how many pounds does a steer that weighs 200 kg weigh? | A | math_Prealgebra | mathematics | ||
pythonio_865 | pythonio-mc | Program:
def max_product(arr):
arr_len = len(arr)
if (arr_len < 2):
return None
x = arr[0]; y = arr[1]
for i in range(0, arr_len):
for j in range(i + 1, arr_len):
if (arr[i] * arr[j] > x * y):
x = arr[i]; y = arr[j]
return x,y
I... | C | code | computer_science | ||
mmlu_aux_train_97631 | mmlu_aux_train | If a lake begins to overflow after swelling from a storm, species within that water source likely
A. propagate
B. stagnate
C. crash
D. stall | A. propagate | high_school_biology | biology | ||
math_346 | math_mc | The red parabola shown is the graph of the equation $x = ay^2 + by + c$. Find $c$. (Assume that the graph has the standard unit scale.)
[asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real ti... | B | math_Algebra | mathematics | ||
allenai/sciq_8364 | allenai/sciq | What is the mechanism that accounts for the drifting of continents?
A. volcanic spreading
B. earth spreading
C. seafloor spreading
D. ridges spreading | C. seafloor spreading | Seafloor spreading is the mechanism for the drifting continents. | earth_sciences | earth_science | |
aquarat_25013 | deepmind/aqua_rat | A 9% stock yields 8%.The market value of the stock is : | A. Rs. 72 B. Rs. 92 C. Rs. 112.50 D. Rs. 116.50 E. None of these | C. Rs. 112.50 | solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 9, investment = Rs.(100/8X9)= Rs. 112.50
∴ Market value of Rs. 100 stock = Rs.112.50
Answer C | college_mathematics | mathematics |
math_360 | math_mc | If $x$, $y$, and $z$ are positive numbers satisfying \[
x+\frac{1}{y}=4,\ \ \ y+\frac{1}{z}=1,\text{ and }z+\frac{1}{x}=\frac{7}{3},
\]find the value of $xyz$. | C | math_Algebra | mathematics | ||
aquarat_79211 | deepmind/aqua_rat | A sequence an is recursively defined where an = 3(an-1-1000) for n > 0. Compute the smallest
integer x such that when a0 = x, an > a0 for all n > 0. | A. 1401 B. 1301 C. 1201 D. 1101 E. 1501 | E. 1501 | We want the smallest x such that 3(x - 1000) > x, or 2x > 3000. The smallest
integral x that satisfies this is x = 1501 .
correct answer E | college_mathematics | mathematics |
math_1217 | math_mc | Let $f : \mathbb{R} \to \mathbb{R}$ be a function such that
\[f(xf(y) + x) = xy + f(x)\]for all $x,$ $y.$
Let $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \times s.$ | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_14376 | mmlu_aux_train | After record increase in over 40 countries, Universal Robots' lightweight robotic arms are now making their US debut at this year's International Manufacturing Trade Show (IMTS) in Chicago. The UR5 robotic arm made by Universal Robots has been announced officially "The world's most innovative robot" by The Internat... | B. is aimed at small companies | electrical_engineering | engineering | ||
allenai/sciq_8739 | allenai/sciq | Two important types of waves include longitudinal waves and what other kind?
A. slow
B. phenomena
C. irregular
D. transverse | D. transverse | Like transverse waves, longitudinal waves are mechanical waves, which means they transfer energy through a medium. Unlike transverse waves, longitudinal waves cause the particles of medium to move parallel to the direction of the wave. They are most common in springs, where they are caused by the pushing an pulling of ... | conceptual_physics | physics | |
allenai/sciq_10663 | allenai/sciq | The measure of how much a given volume of matter decreases when placed under pressure is called?
A. elasticity
B. compressibility
C. malleability
D. solubility | B. compressibility | Compressibility is the measure of how much a given volume of matter decreases when placed under pressure. If we put pressure on a solid or a liquid, there is essentially no change in volume. The atoms, ions, or molecules that make up the solid or liquid are very close together. There is no space between the individual ... | high_school_physics | physics | |
aquarat_90969 | deepmind/aqua_rat | If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2013) = ? | A. 2014 B. 2088 C. 270 D. 1881 E. 1781 | A. 2014 | f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2013) = 2014
Ans: A | college_mathematics | mathematics |
aquarat_70380 | deepmind/aqua_rat | If q = 45! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 29
III. 41 | A. I only B. III only C. II and III D. I and II E. I, II, and III | E. I, II, and III | The numbers 11, 29, and 41 are all factors of 45!
Therefore they can not be factors of 45! + 1.
The answer is E. | college_mathematics | mathematics |
allenai/sciq_2226 | allenai/sciq | Mutations cannot be passed on to offspring if they occur in what type of cells?
A. blood cells
B. kept cells
C. put cells
D. body cells | D. body cells | Mutations that occur in body cells cannot be passed on to offspring. They are confined to just one cell and its daughter cells. These mutations may have little effect on an organism. | high_school_biology | biology | |
math_378 | math_mc | Three of the four vertices of a rectangle are $(5, 11)$, $(16, 11)$ and $(16, -2)$. What is the area of the intersection of this rectangular region and the region inside the graph of the equation $(x - 5)^2 + (y + 2)^2 = 9$? Express your answer in terms of $\pi$. | C | math_Algebra | mathematics | ||
allenai/sciq_11533 | allenai/sciq | Energy is absorbed in the process of converting a liquid at its boiling point into a what?
A. plasma
B. gas
C. mesh
D. solid | B. gas | Energy is absorbed in the process of converting a liquid at its boiling point into a gas. As with the melting of a solid, the temperature of a boiling liquid remains constant and the input of energy goes into changing the state. The molar heat of vaporization of a substance is the heat absorbed by one mole of that subs... | high_school_physics | physics | |
aquarat_25297 | deepmind/aqua_rat | The remainder when K=1+3+3^2+3^3+..........+3^200 is divided 13. | A. 12 B. 7 C. 0 D. 5 E. 3 | C. 0 | K=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n terms in GP = a(r^n-1)/(r-1)
where a=First term and r =common ration
Hence,
1*(3^201 -1 )/(3-1)
Rem of (3^201-1)/2 divided by 13
3^201 -1 /26
WKT, 3^3 = 27 = 26+1
{(26+1)^67 - 1}/26
... | college_mathematics | mathematics |
aquarat_33460 | deepmind/aqua_rat | n how many different ways can a group of 8 people be divided into 4 teams of 2 people each? | A. 90 B. 105 C. 168 D. 420 E. 2520 | B. 105 | How many ways can you arrange the following:
T1 T1 T2 T2 T3 T3 T4 T4
That would be: 8!/(2!*2!*2!*2!)
Then also recall that we don't care about the differences between the teams, therefore
8!/(2!*2!*2!*2!*4!) = 105 ANS:B | college_mathematics | mathematics |
math_1794 | math_mc | Last year, Isabella took 7 math tests and received 7 different scores, each an integer between 91 and 100, inclusive. After each test she noticed that the average of her test scores was an integer. Her score on the seventh test was 95. What was her score on the sixth test? $\textbf{(A)} 92 \qquad\textbf{(B)} 94 \qquad ... | D | math_Number Theory | mathematics | ||
math_1908 | math_mc | In the diagram, there are more than three triangles. If each triangle has the same probability of being selected, what is the probability that a selected triangle has all or part of its interior shaded? Express your answer as a common fraction.
[asy]
draw((0,0)--(1,0)--(0,1)--(0,0)--cycle,linewidth(1));
draw((0,0)--(.... | A | math_Prealgebra | mathematics | ||
mmlu_aux_train_93490 | mmlu_aux_train | What happens when oil and water are mixed?
A. The mixture changes color.
B. The water becomes cloudy.
C. The oil dissolves in the water.
D. The oil and water remain separate. | D. The oil and water remain separate. | high_school_chemistry | chemistry | ||
allenai/sciq_1726 | allenai/sciq | Who first proposed that earth is a magnet?
A. Marconi
B. william gilbert
C. Albert Einstein
D. Isaac Newton | B. william gilbert | The molar mass of any substance is the mass in grams of one mole of representative particles of that substance. The representative particles can be atoms, molecules, or formula units of ionic compounds. This relationship is frequently used in the laboratory. Suppose that for a certain experiment you need 3.00 moles of ... | college_physics | physics | |
allenai/sciq_4813 | allenai/sciq | While light travels at different speeds in different kinds of matter, the speed of light is constant in what condition?
A. vacuum
B. through glass
C. outer space
D. under water | A. vacuum | Although the speed of light is constant in a vacuum, light travels at different speeds in different kinds of matter. For example, light travels more slowly in glass than in air. Therefore, when light passes from air to glass, it slows down. If light strikes a sheet of glass straight on, or perpendicular to the glass, i... | conceptual_physics | physics | |
mmlu_aux_train_99418 | mmlu_aux_train | A creature of a certain age lays a clutch, so it is probably a
A. deer
B. hare
C. falcon
D. bear | C. falcon | high_school_biology | biology | ||
math_1155 | math_mc | One of the roots of
\[ax^3 + 3x^2 + bx - 65 = 0,\]is $-2 - 3i,$ where $a$ and $b$ are real numbers. Find the real root of this cubic polynomial. | D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_1132 | allenai/sciq | What is the only known planet with large amounts of water?
A. mars
B. earth
C. saturn
D. jupiter | B. earth | Earth is the third planet from the Sun. It is the only planet with large amounts of liquid water, and the only planet known to support life. Earth is the only inner planet that has a large round moon. | astronomy | physics | |
NLP4Education_694 | NLP4Education | Which of the following statements are true about command injection?
A. Command injection is unique to PHP web applications.
B. Command injection can be mitigated, in general, by prohibiting the ";” character.
C. Command injection allows the attacker to launch new processes or invoke internal shell commands.
D. To mitig... | C. Command injection allows the attacker to launch new processes or invoke internal shell commands. | computer_security | computer_science | ||
math_1607 | math_mc | How many three-digit positive integers $x$ satisfy $3874x+481\equiv 1205 \pmod{23}$? | A | math_Number Theory | mathematics | ||
math_1004 | math_mc | Triangle $ABC$ lies in the cartesian plane and has an area of $70$. The coordinates of $B$ and $C$ are $(12,19)$ and $(23,20),$ respectively, and the coordinates of $A$ are $(p,q).$ The line containing the median to side $BC$ has slope $-5.$ Find the largest possible value of $p+q.$
[asy]defaultpen(fontsize(8)); size(1... | A | math_Geometry | mathematics | ||
math_271 | math_mc | The energy stored by any pair of positive charges is inversely proportional to the distance between them, and directly proportional to their charges. Three identical point charges start at the vertices of an equilateral triangle, and this configuration stores 15 Joules of energy. How much more energy, in Joules, would ... | A | math_Algebra | mathematics | ||
aquarat_69275 | deepmind/aqua_rat | All the stocks on the over-the-counter market are designated by either a 6 letter or 5 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? | A. 2(26^5) B. 26(26^4) C. 27(26^6) D. 26(26^5) E. 27(26^5) | C. 27(26^6) | with 4 letters: 26^6
with 5 letters: 26^5
26^6 + 26^5 = 27*(26^5)
C | college_mathematics | mathematics |
aquarat_5746 | deepmind/aqua_rat | The value of ((x – y)³ + (y - z)³ + (z – x)³)/(12 (x – y) (y – z) (z – x))
is equal to : | A. 0 B. 1/12 C. 1 D. 1/4 E. 1/3 | D. 1/4 | Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y) (y – z) (z – x))/(12(x – y) (y – z) (z – x)) = 1/4.
ANSWER:D | college_mathematics | mathematics |
aquarat_10300 | deepmind/aqua_rat | If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B). | A. 1/9 B. 1/8 C. 1/11 D. 1/13 E. 2/5 | B. 1/8 | P(not A and not B) = 1 - (P(A) + P(B) - P(AB))
which you might find somewhere in your text.
Substituting in our probabilities we get:
P(not A and not B) = 1 - (3/4 + 1/2 - 3/8)
P(not A and not B) = 1 - (7/8)
P(not A and not B) = 1/8.
B | high_school_statistics | mathematics |
mmlu_aux_train_44083 | mmlu_aux_train | One day an out of work mimic is visiting the zoo and attempts to earn some money as a street performer. As soon as he starts to draw the crowd,a zoo keeper grabs him and drags him into his office. The zoo keeper explains to the mimic that the zoo's most popular attraction,a gorilla ,has died suddenly and the keeper fe... | D. perform and earn some money there | high_school_computer_science | computer_science | ||
math_1132 | math_mc | Let $\omega$ be a complex number such that $\omega^7 = 1$ and $\omega \ne 1.$ Compute
\[\omega^{16} + \omega^{18} + \omega^{20} + \dots + \omega^{54}.\] | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_11 | NLP4Education | In JOS and x86, please select all valid options for a system call.
A. System calls are primarily used to handle hardware interrupts such as divide-by-zero errors and page faults.
B. In user mode, before and after a system call instruction (such as int 0x30), the stack pointer (esp in x86) stays the same.
C. During a sy... | B. In user mode, before and after a system call instruction (such as int 0x30), the stack pointer (esp in x86) stays the same. | college_computer_science | computer_science | ||
allenai/sciq_2262 | allenai/sciq | What are the two types of semiconductors?
A. n-type and m-type
B. a-type and b-type
C. n-type and p-type
D. o-type and p-type | C. n-type and p-type | Electronic components consist of semiconductors, which are solid crystals consisting mainly of silicon. There are two types of semiconductors, called n-type and p-type. | electrical_engineering | engineering | |
mmlu_aux_train_7788 | mmlu_aux_train | Below is adapted from an English dictionary. Use the dictionary to answer the following questions. figure / fig@ / noun, verb * noun 1. a number representing a particular amount, especially one given in official information: the trade / sales figures 2. a symbol rather than a word representing one of the numbers betwee... | D. He was about to speak but she put a figure on his lips to stop him. | high_school_computer_science | computer_science | ||
allenai/sciq_8891 | allenai/sciq | What device is a magnetic disc that provides long-term storage for programs and data?
A. hard drive
B. floppy drive
C. software
D. cassette | A. hard drive | The hard drive is a magnetic disc that provides long-term storage for programs and data. | college_computer_science | computer_science | |
aquarat_10659 | deepmind/aqua_rat | A train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. Its length is: | A. 1200 m B. 2000 m C. 1500 m D. 1000 m E. 4000 m | D. 1000 m | Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 25 => y = x/25
x + 200 / 30 = x / 25
x = 1000 m.
Answer: Option D | high_school_physics | physics |
mmlu_aux_train_33823 | mmlu_aux_train | When people talk of a virus these days, chances are that they are talking about computer virus that have the power wipe out all the valuable work people may have stored in their computers. Imagine, the virus has the power to make military systems, giant banks, airports, hospitals and traffic system come to stop! What d... | B. people should be careful when receiving e-mails | computer_security | computer_science | ||
allenai/sciq_3224 | allenai/sciq | What is the common abbreviation for noting the rhesus blood type?
A. AB
B. RNA
C. rh
D. h2 | C. rh | Rhesus blood type is determined by one common antigen. A person may either have the antigen (Rh + ) or lack the antigen (Rh - ). | high_school_biology | biology | |
aquarat_38833 | deepmind/aqua_rat | Adding two non multiples of Q always results in a multiple of Q; which of the following must be the value of Q ? | A. [A] two B. [B] three C. [C] five D. [D] ten E. [E] hundred | A. [A] two | NON- multiples of 2 would always be ODD and sum of two odd would be EVEN.
so irrespective of value of non-multiples, sum of two them would always be even and thus multiple of 2..
A | college_mathematics | mathematics |
pythonio_394 | pythonio-mc | Program:
from collections import OrderedDict
def remove_duplicate(string):
result = ' '.join(OrderedDict((w,w) for w in string.split()).keys())
return result
Input:
remove_duplicate("Python Exercises Practice Solution Exercises")
Output: | C | code | computer_science | ||
mmlu_aux_train_93904 | mmlu_aux_train | A volcano under the ocean slowly releases lava over time. As the lava is released, it cools and hardens on the ocean floor. Which feature will most likely form from the release and cooling of the lava on the ocean floor over time?
A. a fault
B. an island
C. a reef
D. a sandbar | B. an island | earth_science | earth_science | ||
mmlu_aux_train_26663 | mmlu_aux_train | I was an extremely verbal child, and growing up with my dad was an experiment in linguistics . My father was a man of few words. Whenever I wanted his permission for a certain activity, I planned a speech that included who would be there, where it would take place, how long it would last, and why it was an incredibly w... | B. the activity is a chance for anyone | high_school_computer_science | computer_science | ||
math_236 | math_mc | Factor $36-9x^2$. | A | math_Algebra | mathematics | ||
pythonio_685 | pythonio-mc | Program:
from collections import Counter
def second_frequent(input):
dict = Counter(input)
value = sorted(dict.values(), reverse=True)
second_large = value[1]
for (key, val) in dict.items():
if val == second_large:
return (key)
Input:
second_frequent(['abc','bcd','abc','bcd','bcd','bcd'])
Ou... | A | code | computer_science | ||
math_475 | math_mc | There are positive integers that have these properties:
$\bullet$ I. The sum of the squares of their digits is $50,$ and
$\bullet$ II. Each digit is larger than the one on its left.
What is the product of the digits of the largest integer with both properties? | C | math_Counting & Probability | mathematics | ||
aquarat_62568 | deepmind/aqua_rat | If ab = 3(a + 1) + b and a and b are integers, a could be any of the following values EXCEPT: | A. 2 B. 3 C. 6 D. 4 E. 7 | C. 6 | ab = 3(a + 1) + b
ab - b = 3(a + 1)
b = 3(a + 1)/(a-1)
b won't be an integer only if a = 6 (from the options).
Answer: C | abstract_algebra | mathematics |
math_586 | math_mc | In a shooting match, eight clay targets are arranged in two hanging columns of three targets each and one column of two targets. A marksman is to break all the targets according to the following rules:
1) The marksman first chooses a column from which a target is to be broken.
2) The marksman must then break the lowest... | C | math_Counting & Probability | mathematics | ||
allenai/sciq_3539 | allenai/sciq | What is caused by human actions that releases chemical substances and particles into the air?
A. CFO pollution
B. heavy pollution
C. air pollution
D. Improper Emissions | C. air pollution | Recall that air pollution is due to chemical substances and particles released into the air mainly by human actions. When most people think of air pollution, they think of the pollution outdoors. But it is just as easy to have indoor air pollution. Your home or school classroom probably doesn't get much fresh air. Seal... | high_school_chemistry | chemistry | |
mmlu_aux_train_1101 | mmlu_aux_train | In the course of a bank holdup, Robber fired a gun at Guard. Guard drew his revolver and returned the fire. One of the bullets fired by Guard ricocheted, striking Plaintiff. If Plaintiff asserts a claim against Guard based upon battery, will Plaintiff prevail?
A. Yes, unless Plaintiff was Robber's accomplice.
B. Yes... | C. No, if Guard fired reasonably in his own defense. | formal_logic | mathematics | ||
math_445 | math_mc | Each page number of a 488-page book is printed one time in the book. The first page is page 1 and the last page is page 488. When printing all of the page numbers, how many more 4's are printed than 8's? | A | math_Counting & Probability | mathematics | ||
math_1986 | math_mc | When the length of a rectangle is increased by $20\%$ and the width increased by $10\%$, by what percent is the area increased? | B | math_Prealgebra | mathematics | ||
allenai/sciq_9676 | allenai/sciq | Which temperature scale is commonly used in science?
A. ph scale
B. celsius
C. kelvin scale
D. centigrade | C. kelvin scale | one degree Fahrenheit. Only 100 Celsius degrees span the same range as 180 Fahrenheit degrees, thus one degree on the Celsius scale is 1.8 times larger than one degree on the Fahrenheit scale 180 / 100 = 9 / 5. The Kelvin scale is the temperature scale that is commonly used in science. It is an absolute temperature sca... | high_school_chemistry | chemistry | |
pythonio_291 | pythonio-mc | Program:
def swap_List(newList):
size = len(newList)
temp = newList[0]
newList[0] = newList[size - 1]
newList[size - 1] = temp
return newList
Input:
swap_List([4,5,6])
Output: | A | code | computer_science |
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