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_32854 | mmlu_aux_train | Scientists added a record of 715 more planets to the list known to the world beyond the solar system, astronomers said on Wednesday, in February 2014. The additions include four planets about 0.5-2 times as big as Earth that are the right distance from their parent stars for liquid surface water, which is believed to b... | D. two to three times the size of Earth | astronomy | physics | ||
math_1072 | math_mc | Five points $A$, $B$, $C$, $D$, and $O$ lie on a flat field. $A$ is directly north of $O$, $B$ is directly west of $O$, $C$ is directly south of $O$, and $D$ is directly east of $O$. The distance between $C$ and $D$ is 140 m. A hot-air balloon is positioned in the air at $H$ directly above $O$. The balloon is held i... | A | math_Geometry | mathematics | ||
NLP4Education_265 | NLP4Education | Modularity clustering will end up always with the same community structure?
A. Yes, for all graphs
B. No, the result can vary
C. Only for graphs with a single connected component
D. Only if all nodes form a complete clique | B. No, the result can vary | machine_learning | computer_science | ||
mmlu_aux_train_65375 | mmlu_aux_train | The immune system is the body's defender. It identifies, tracks down, and destroys troublemakers before they can hurt the body. Those troublemakers may be, for example, bacteria from a cut or splinter, a measles germ, a cold bug, or even a cancer cell. These invaders try to take over our tissues and feed off our bodie... | B. To destroy the troublemakers in order that they might not hurt the body. | high_school_biology | biology | ||
math_1006 | math_mc | A square has sides of length 10, and a circle centered at one of its vertices has radius 10. What is the area of the union of the regions enclosed by the square and the circle? Express your answer in terms of $\pi$. | C | math_Geometry | mathematics | ||
allenai/sciq_11622 | allenai/sciq | Carbonic acid decomposes easily at room temperature into carbon dioxide and what else?
A. gas
B. helium
C. water
D. oxygen | C. water | Some unstable acids decompose to produce nonmetal oxides and water. Carbonic acid decomposes easily at room temperature into carbon dioxide and water. | high_school_chemistry | chemistry | |
mmlu_aux_train_50998 | mmlu_aux_train | Books, software, and videos, no matter what you are looking for, if you turn on a computer and log on the Internet, you are sure to find something. E-books are all over the Internet; some are free, and some are not. E-books are basically electronic books you can read without having to carry heavy books and flip t... | D. They can include a lot of personal information. | high_school_computer_science | computer_science | ||
aquarat_95404 | deepmind/aqua_rat | If PINTU is coded as 79523 in a certain code language, how would you code LUMBO in the same language? | A. 13426 B. 14236 C. 13436 D. 33426 E. 15263 | D. 33426 | 1 2 3 4 5 6 7 8 9
a b c d e f g h i
j k l m n o p q r
s t u v w x y z
sooo...LUMBO is 33426...
ANSWER:D | formal_logic | mathematics |
allenai/sciq_10424 | allenai/sciq | A life cycle continues through reproduction and what?
A. mechanical
B. response
C. example
D. development | D. development | high_school_biology | biology | ||
NLP4Education_163 | NLP4Education | In vector space retrieval each row of the matrix M corresponds to
A. A document
B. A concept
C. A query
D. A term | D. A term | college_computer_science | computer_science | ||
math_10 | math_mc | The fifth term of a geometric sequence of positive numbers is $11$ and the eleventh term is $5$. What is the eighth term of the sequence? Express your answer in simplest radical form. [asy]
size(150); defaultpen(linewidth(2));
real loc = 0;
for(int i = 0; i < 11; ++i) {
if(i == 4)
label("$\mathbf{\mathit{11}}$",(loc... | A | math_Algebra | mathematics | ||
math_1775 | math_mc | As $p$ ranges over the primes greater than $5$, how many different remainders can $p^2$ leave upon division by $120$? | B | math_Number Theory | mathematics | ||
mmlu_aux_train_86247 | mmlu_aux_train | July 20th, 1969 was an important day.Two American landed on the moon.Their names were Armstrong and Aldrin.They went there in a spaceship.Its name was Apollo 11. Apollo 11 left Cape Kennedy on July 16th and went three hundred and eighty-five thousand kilometres.It took the two American three days to get there.On July 2... | D. 385000 | astronomy | physics | ||
pythonio_809 | pythonio-mc | Program:
def Extract(lst):
return [item[-1] for item in lst]
Input:
Extract([[1, 2, 3], [4, 5], [6, 7, 8, 9]])
Output: | A | code | computer_science | ||
mmlu_aux_train_99296 | mmlu_aux_train | The mantle is
A. anger
B. magic
C. passion
D. solid bulk | D. solid bulk | high_school_biology | biology | ||
math_1284 | math_mc | Let $x$ and $y$ be complex numbers such that
\[\frac{x + y}{x - y} + \frac{x - y}{x + y} = 1.\]Find
\[\frac{x^4 + y^4}{x^4 - y^4} + \frac{x^4 - y^4}{x^4 + y^4}.\] | D | math_Intermediate Algebra | mathematics | ||
aquarat_70582 | deepmind/aqua_rat | If f(x) =6* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)? | A. f(x) B. -f(x) C. 1/f(x) D. -1/f(x) E. -6*f(x) | E. -6*f(x) | f(1/x) =6* ((1/x)^4 - 1) / ((1/x)^2)
= 6*((1/x^4) - 1) / (1/x^2)
= 6*((1-x^4)/(x^4)) / (1/x^2)
= 6*(1-x^4)/(x^2)
= - 6*( (x^4) -1) / (x^2)
= -6f(x)
Answer is E. | college_mathematics | mathematics |
allenai/sciq_2322 | allenai/sciq | The atmosphere consists of oxygen, nitrogen, carbon dioxide, which exerts a certain pressure referred to as what?
A. nitrogen pressure
B. atmospheric pressure
C. gravity pressure
D. tidal pressure | B. atmospheric pressure | Gas Laws and Air Composition Gas molecules exert force on the surfaces with which they are in contact; this force is called pressure. In natural systems, gases are normally present as a mixture of different types of molecules. For example, the atmosphere consists of oxygen, nitrogen, carbon dioxide, and other gaseous m... | high_school_physics | physics | |
math_1923 | math_mc | The scores on Trisha's first three tests were 88, 73 and 70. After two more tests, the mean score for all five tests was 81. Each test score was less than 90, and all of Trisha's test scores were different integer values. List Trisha's five test scores from the greatest to the least, separated by commas. | B | math_Prealgebra | mathematics | ||
allenai/sciq_9642 | allenai/sciq | What word describes a molecule that repels polar water?
A. hydrophonic
B. hydrophobic
C. monophobic
D. soluble | B. hydrophobic | The other end of each phospholipid molecule is nonpolar and has no electric charge. This end of the phospholipid molecule repels polar water and is described as hydrophobic, or “water hating. ”. | high_school_chemistry | chemistry | |
mmlu_aux_train_99550 | mmlu_aux_train | A chemical reaction can be caused by
A. pouring soda into milk
B. putting vinegar in a bowl
C. bleach vinegar combo solution
D. pouring baking soda out of a box | C. bleach vinegar combo solution | high_school_chemistry | chemistry | ||
allenai/sciq_6220 | allenai/sciq | All of the planets rotate on their axes in the same direction that they move around the sun, except for which one?
A. Jupiter
B. Saturn
C. uranus
D. venus | C. uranus | All of the planets rotate on their axes in the same direction that they move around the Sun. Except for Uranus. Uranus is tilted on its side. Its axis is almost parallel to its orbit. So Uranus rolls along like a bowling ball as it revolves around the Sun. How did Uranus get this way? Scientists think that the planet w... | astronomy | physics | |
aquarat_66614 | deepmind/aqua_rat | If air is called green , green is called blue, blue is called blue, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ? | A. Blue B. Sky C. Water D. Yellow E. Black | A. Blue | Explanation:
The colour of clear sky is 'blue' and as given, 'blue' is called 'blue'.
So, the colour of clear sky is 'blue'.
Answer: A | formal_logic | mathematics |
math_1250 | math_mc | A line whose $y$-intercept is $(0,5)$ intersects the ellipse $9x^2 + 16y^2 = 144.$ Find all possible slopes of this line. | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_561 | NLP4Education | A Carmichael number is
A. a prime number which cannot pass the Rabin-Miller test.
B. a composite number which often passes the Rabin-Miller test.
C. a prime number which cannot pass the Fermat test.
D. a composite number which often passes the Fermat test. | D. a composite number which often passes the Fermat test. | college_mathematics | mathematics | ||
mmlu_aux_train_91736 | mmlu_aux_train | Computer programmer David Jones earned $ 150,000 a year designing new computer games, yet he cannot find a bank prepared to let him have a check card . Instead, he has been told to wait another two years until he is 18. He works for a small firm in Liverpool, where most young people of his age are finding jobs. David's... | D. He earns a high payment | high_school_computer_science | computer_science | ||
mmlu_aux_train_97908 | mmlu_aux_train | Which eats other creatures?
A. rainbows
B. cows
C. lynx
D. rabbits | C. lynx | high_school_biology | biology | ||
allenai/sciq_7754 | allenai/sciq | What system in both males and females consists of structures that produce reproductive cells, or gametes, and secrete sex hormone?
A. digestion
B. reproductive
C. circulatory system
D. immune system | B. reproductive | The reproductive system in both males and females consists of structures that produce reproductive cells, or gametes, and secrete sex hormones. A gamete is a haploid cell that combines with another haploid gamete during fertilization. Sex hormones are chemical messengers that control sexual development and reproduction... | high_school_biology | biology | |
mmlu_aux_train_1347 | mmlu_aux_train | The source of energy for the Earth's water cycle is the
A. wind
B. Sun's radiation
C. Earth's radiation
D. Sun's gravity | B. Sun's radiation | college_earth_science | earth_science | ||
math_1486 | math_mc | Suppose that there exist nonzero complex numbers $a,$ $b,$ $c,$ and $d$ such that $k$ is a root of both the equations $ax^3 + bx^2 + cx + d = 0$ and $bx^3 + cx^2 + dx + a = 0.$ Enter all possible values of $k,$ separated by commas. | A | math_Intermediate Algebra | mathematics | ||
aquarat_63045 | deepmind/aqua_rat | If (1+a)y=y, which of the following must be true? | A. a=-1 or y=0 B. a=0 or y=0 C. a=1 or y=1 D. a=-1 or y=-1 E. a=0 or y=1 | B. a=0 or y=0 | We have (1+a)y=y.
If a=0, y=y. True
If y=0, (1+a)*0=0 True
So, B will be the answer. | abstract_algebra | mathematics |
math_1501 | math_mc | Determine the largest positive integer $n$ such that there exist positive integers $x, y, z$ so that \[
n^2 = x^2+y^2+z^2+2xy+2yz+2zx+3x+3y+3z-6
\] | B | math_Intermediate Algebra | mathematics | ||
math_618 | math_mc | A $7\times 1$ board is completely covered by $m\times 1$ tiles without overlap; each tile may cover any number of consecutive squares, and each tile lies completely on the board. Each tile is either red, blue, or green. Let $N$ be the number of tilings of the $7\times 1$ board in which all three colors are used at leas... | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_45310 | mmlu_aux_train | Go, known as Weiqi in China and Baduk in South Korea, was viewed as the last game where humans can defeat machines. Lee Se-dol, one of the greatest Go players, has won 18 world championships for 21 years of his professional career. AlphaGo, a computer program developed by Google's DeepMind, beat the European Go champio... | B. In a science magazine | machine_learning | computer_science | ||
aquarat_88955 | deepmind/aqua_rat | Let the polynomials be:
P1(x)=3x2−7x+5,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)= | A. 2x2 + 11x - 7 B. -2x2 - 11x + 7 C. -2x2 - 11x + 6 D. 2x2 - 9x + 7 E. None of these | B. -2x2 - 11x + 7 | Solution:
P1(x)+P2(x)=(3x2−7x+5)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+5)+(−5x2−4x+2)=
3x2−7x+5−5x2−4x+2=3x2−7x+5−5x2−4x+2=
−2x2−11x+7
Answer B | college_mathematics | mathematics |
allenai/sciq_7276 | allenai/sciq | As a battery is depleted what happens to its internal resistance?
A. reduces
B. changes
C. stagnates
D. increases | D. increases | The internal resistance r can behave in complex ways. As noted, r increases as a battery is depleted. But internal resistance may also depend on the magnitude and direction of the current through a voltage source, its temperature, and even its history. The internal resistance of rechargeable nickel-cadmium cells, for e... | conceptual_physics | physics | |
math_1848 | math_mc | Each point in the hexagonal lattice shown is one unit from its nearest neighbor. How many equilateral triangles have all three vertices in the lattice? [asy]size(75);
dot(origin);
dot(dir(0));
dot(dir(60));
dot(dir(120));
dot(dir(180));
dot(dir(240));
dot(dir(300));
[/asy] | C | math_Prealgebra | mathematics | ||
pythonio_617 | pythonio-mc | Program:
def rgb_to_hsv(r, g, b):
r, g, b = r/255.0, g/255.0, b/255.0
mx = max(r, g, b)
mn = min(r, g, b)
df = mx-mn
if mx == mn:
h = 0
elif mx == r:
h = (60 * ((g-b)/df) + 360) % 360
elif mx == g:
h = (60 * ((b-r)/df) + 120) % 360
elif mx == b:
... | C | code | computer_science | ||
aquarat_1707 | deepmind/aqua_rat | Nathan,Fred, Alan, Becky and Allison are each
holding one of the following 4 cards. Nathan
and Alan both have Spades. Becky and Alan
both have the same number. Which one has the
9 of hearts? | A. Nathan B. Fred C. Alan D. Becky E. Allison | E. Allison | The clue “Becky has the same number card as Alan” tells us that Alan has a ‘7’
card.
The clue ‘Nathan and Alan both have spades’ leads us to the fact that Alan has a 7
of spades.
Thus the remaining spade card, ’10 of spades’, belongs to Nathan and the
remaining ‘7’: ‘7 of diamonds’, belongs to Becky. That leaves ‘9 of ... | formal_logic | mathematics |
mmlu_aux_train_4616 | mmlu_aux_train | Which process causes the leaves of a plant to become larger?
A. repair
B. growth
C. decomposition
D. germination | B. growth | high_school_biology | biology | ||
allenai/sciq_6637 | allenai/sciq | What is the second class of fish after ray-finned fish?
A. lobe-finned fish
B. pine - finned fish
C. spar - finned fish
D. star-finned fish | A. lobe-finned fish | There are about 27,000 species of bony fish ( Figure below ), which are divided into two classes: ray-finned fish and lobe-finned fish. Most bony fish are ray-finned. These thin fins consist of webs of skin over flexible spines. Lobe-finned fish, on the other hand, have fins that resemble stump-like appendages. | college_biology | biology | |
mmlu_aux_train_16184 | mmlu_aux_train | The common cold is the world's most widespread illness, which is plagues that flesh receives. The most widespread fallacy of all is that colds are caused by cold. They are not. They are caused by viruses passing on from person to person. You catch a cold by coming into contact, directly or indirectly, with someone wh... | B. 5 | high_school_biology | biology | ||
pythonio_643 | pythonio-mc | Program:
INT_BITS = 32
def left_Rotate(n,d):
return (n << d)|(n >> (INT_BITS - d))
Input:
left_Rotate(99,3)
Output: | C | code | computer_science | ||
mmlu_aux_train_20128 | mmlu_aux_train | RichardSolo 1800 Rechargeable Battery In just minutes a day, plug in and charge your iPhone quickly! Just plug RichardSolo 1800 into your iPhone once or twice a day, for fifteen minutes, and keep your iPhone charged up. At your desk, or at dinner, plug RichardSolo into iPhone to instantly transfer change. No m... | A. 15 minutes | electrical_engineering | engineering | ||
NLP4Education_237 | NLP4Education | Suppose you are given a linear classifier with the logistic loss. Is it true that generating the optimal adversarial perturbations by maximizing the loss under the $\ell_{2}$-norm constraint on the perturbation is an NP-hard optimization problem?
A. Yes, it is always NP-hard for linear classifiers with logistic loss.
B... | B. No, the problem is convex and can be solved efficiently. | machine_learning | computer_science | ||
math_1772 | math_mc | The number $1000!$ has a long tail of zeroes. How many zeroes are there? (Reminder: The number $n!$ is the product of the integers from 1 to $n$. For example, $5!=5\cdot 4\cdot3\cdot2\cdot 1= 120$.) | D | math_Number Theory | mathematics | ||
aquarat_40763 | deepmind/aqua_rat | What is the measure of the angle W made by the diagonals of the any adjacent sides of a cube. | A. 30 B. 45 C. 60 D. 75 E. 90 | C. 60 | C.. 60 degrees
All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be 60.C | college_mathematics | mathematics |
allenai/sciq_2591 | allenai/sciq | What element is the most common element in the universe?
A. helium
B. carbon
C. hydrogen
D. nitrogen | C. hydrogen | An element is a pure substance. It cannot be separated into any other substances. There are more than 90 different elements that occur in nature. Some are much more common than others. Hydrogen is the most common element in the universe. Oxygen is the most common element in Earth’s crust. Figure below shows other examp... | astronomy | physics | |
allenai/sciq_8615 | allenai/sciq | What is the transfer of thermal energy between substances called?
A. Permeation
B. Diffusion
C. heat
D. Radiation | C. heat | Heat is the transfer of thermal energy between substances. Thermal energy is the kinetic energy of moving particles of matter, measured by their temperature. | conceptual_physics | physics | |
pythonio_544 | pythonio-mc | Program:
def lcs_of_three(X, Y, Z, m, n, o):
L = [[[0 for i in range(o+1)] for j in range(n+1)]
for k in range(m+1)]
for i in range(m+1):
for j in range(n+1):
for k in range(o+1):
if (i == 0 or j == 0 or k == 0):
L[i][j][k] = 0
elif (X[i-1] == Y[j-1] and
X[i-1] == Z[k-1]):
... | D | code | computer_science | ||
mmlu_aux_train_4817 | mmlu_aux_train | Owen tested a physical property of a mineral. He rubbed a mineral sample on a piece of white tile. The mineral left a red mark on the tile. Which of the following physical properties of the mineral was Owen most likely testing?
A. cleavage
B. hardness
C. luster
D. streak | D. streak | high_school_chemistry | chemistry | ||
allenai/sciq_3464 | allenai/sciq | Ions are formed when atoms gain or lose what?
A. neutrons
B. electrons
C. protons
D. mass | B. electrons | Electron Configurations of Ions We have seen that ions are formed when atoms gain or lose electrons. A cation (positively charged ion) forms when one or more electrons are removed from a parent atom. For main group elements, the electrons that were added last are the first electrons removed. For transition metals and i... | high_school_chemistry | chemistry | |
mmlu_aux_train_96909 | mmlu_aux_train | If an electric circuit has six paths and another electric circuit has one path, the six path circuit is
A. really broken
B. singular
C. equidistant
D. slowly burning | C. equidistant | electrical_engineering | engineering | ||
aquarat_69926 | deepmind/aqua_rat | There are seven leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ? | A. 7 leopard and 3 sheep B. 4 leopard and 7 sheep C. 6 leopard and 1 sheep D. 5 leopard and 1 sheep E. 2 leopard and 5 sheep | C. 6 leopard and 1 sheep | C
6 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this. | abstract_algebra | mathematics |
allenai/sciq_6570 | allenai/sciq | What does the inner membrane divide into two internal compartments?
A. golgi apparatus
B. chitin
C. mitochondrion
D. epidermis | C. mitochondrion | college_biology | biology | ||
mmlu_aux_train_97736 | mmlu_aux_train | A large thing that spews out destructive materials can
A. make babies
B. eat sandwiches
C. level planets
D. create towering hills | D. create towering hills | astronomy | physics | ||
math_1055 | math_mc | A scalene triangle has side lengths which are prime numbers and the length of its perimeter is also prime. What is its smallest possible perimeter? | D | math_Geometry | mathematics | ||
mmlu_aux_train_1689 | mmlu_aux_train | Which statement best explains how periods on the periodic table are organized?
A. increasing atomic number from left to right
B. increasing number of neutrons from left to right
C. decreasing number of electrons from left to right
D. decreasing atomic mass number from left to right | A. increasing atomic number from left to right | high_school_chemistry | chemistry | ||
math_2035 | math_mc | Angle $EAB$ is a right angle, and $BE=9$ units. What is the number of square units in the sum of the areas of the two squares $ABCD$ and $AEFG$?
[asy]
draw((0,0)--(1,1)--(0,2)--(-1,1)--cycle);
draw((0,2)--(2,4)--(0,6)--(-2,4)--cycle);
draw((1,1)--(2,4));
draw((-1,1)--(-2,4));
label("A", (0,2), S);
label("B", (1,1), S... | D | math_Prealgebra | mathematics | ||
math_1558 | math_mc | Let $n$ be a positive integer. If $a\equiv (3^{2n}+4)^{-1}\pmod{9}$, what is the remainder when $a$ is divided by $9$? | A | math_Number Theory | mathematics | ||
allenai/sciq_7880 | allenai/sciq | Physical properties are characteristics that describe what as it exists?
A. matter
B. imagination
C. life
D. antimatter | A. matter | Which of the following is matter and not matter? 1. the moon 2. an idea for a new invention Answer 1. The moon is matter. The invention itself may be matter, but the idea for it is not. To understand matter and how it changes, we need to be able to describe matter. There are two basic ways to describe matter: physical ... | high_school_chemistry | chemistry | |
mmlu_aux_train_1642 | mmlu_aux_train | Several interchangeable parts are used in the manufacture of automobiles. Some examples of these parts are batteries, windshield wiper blades, spark plugs, and tires. Which of the following is an advantage of interchangeable parts over non-interchangeable parts on automobiles?
A. Interchangeable parts are generally mo... | D. Interchangeable parts can fit many kinds of automobiles. | high_school_physics | physics | ||
math_652 | math_mc | An integer between $1000$ and $9999$, inclusive, is called balanced if the sum of its two leftmost digits equals the sum of its two rightmost digits. How many balanced integers are there?
| A | math_Counting & Probability | mathematics | ||
math_1302 | math_mc | The expression \[(x+y+z)^{2006}+(x-y-z)^{2006}\]is simplified by expanding it and combining like terms. How many terms are in the simplified expression? | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_518 | allenai/sciq | Beryllium, magnesium, calcium, strontium, and barium are classified as what type of metals?
A. alkaline support metals
B. alkaline aligned metals
C. alkaline earth metals
D. acid earth metals | C. alkaline earth metals | The alkaline earth metals include beryllium, magnesium, calcium, strontium, and barium. Strontium and barium react with air and must be stored in oil. | high_school_chemistry | chemistry | |
aquarat_42997 | deepmind/aqua_rat | If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
Then 24 = ?
Hint: Its a logic Riddle not a mathematical riddle | A. 1 B. 2 C. 4 D. 6 E. 8 | C. 4 | C
24
As stated
4=24 => 24=4
Answer is C | formal_logic | mathematics |
math_328 | math_mc | Consider two positive even integers less than $15$ (not necessarily distinct). When the sum of these two numbers is added to their product, how many different possible values may result? | C | math_Algebra | mathematics | ||
pythonio_912 | pythonio-mc | Program:
def get_item(tup1,index):
item = tup1[index]
return item
Input:
get_item(("w", 3, "r", "e", "s", "o", "u", "r", "c", "e"),-3)
Output: | B | code | computer_science | ||
allenai/sciq_2225 | allenai/sciq | What type of device uses electromagnetic induction to change the voltage of electric current?
A. electronic transformer
B. radioactive transformer
C. hot transformer
D. mechanical transformer | A. electronic transformer | An electric transformer is a device that uses electromagnetic induction to change the voltage of electric current. Electromagnetic induction is the process of generating current with a magnetic field. It occurs when a magnetic field and electric conductor, such as a coil of wire, move relative to one another. A transfo... | electrical_engineering | engineering | |
aquarat_53862 | deepmind/aqua_rat | WHAT IS correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code? | A. A)6! B. − (3! + 2!) C. − (3! × 2!) D. + 2!) E. × 2!) | E. × 2!) | Number of letters in word 'BANANA' = 6.
The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.
Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code
= 6!/(3!*2!)
Answer: E | college_mathematics | mathematics |
math_629 | math_mc | A card is chosen at random from a standard deck of 52 cards, and then it is replaced and another card is chosen. What is the probability that at least one of the cards is a diamond or an ace? | C | math_Counting & Probability | mathematics | ||
allenai/sciq_3501 | allenai/sciq | A solute generally does what to the freezing point of a solvent?
A. regulates it
B. raises it
C. lowers it
D. increases it | C. lowers it | A solute generally lowers the freezing point of a solvent, which is called freezing point depression. For example, spreading salt on an icy road melts the ice. | high_school_chemistry | chemistry | |
NLP4Education_276 | NLP4Education | The SMART algorithm for query relevance feedback modifies? (Slide 11 Week 3)
A. The keywords of the original user query
B. The original query weight vectors
C. The result document weight vectors
D. The original document weight vectors | B. The original query weight vectors | college_computer_science | computer_science | ||
mmlu_aux_train_93304 | mmlu_aux_train | A student adds sugar, spices, and salt to a bowl of peanuts and stirs them together. What has the student made?
A. a compound
B. a substance
C. a mixture
D. a solution | C. a mixture | high_school_chemistry | chemistry | ||
math_1110 | math_mc | A hexagon inscribed in a circle has three consecutive sides, each of length 3, and three consecutive sides, each of length 5. The chord of the circle that divides the hexagon into two trapezoids, one with three sides, each of length 3, and the other with three sides, each of length 5, has length equal to $m/n$, where $... | D | math_Geometry | mathematics | ||
aquarat_9567 | deepmind/aqua_rat | A set of data consists of the following 7 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? | A. -1 and 9 B. 4 and 4 C. 3 and 5 D. 2 and 6 E. 0 and 8 | C. 3 and 5 | If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same ... | high_school_statistics | mathematics |
allenai/sciq_3572 | allenai/sciq | What do you call the set of seventeen chemical elements possessing particular importance for a variety of industrial processes, used frequently in modern technology?
A. base chemicals
B. rare earth metals
C. reactive elements
D. fossil fuel | B. rare earth metals | The rare earth metals are a set of seventeen chemical elements (the lanthanide series plus scandium and yttrium) that have particular importance for a variety of industrial processes and are used frequently in modern technology. Despite their name, rare earth metals are actually relatively abundant in the earth’s crust... | high_school_chemistry | chemistry | |
allenai/sciq_9858 | allenai/sciq | What is a measure of the size of sound waves?
A. frequency
B. voltage
C. amplitude
D. wavelength | C. amplitude | Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder. For a video demonstration of the amplitude and loudness of sounds, go to this URL: http://www. youtube. com/watch?v=irqfGYD2... | conceptual_physics | physics | |
NLP4Education_693 | NLP4Education | Current software is complex and often relies on external dependencies. What are the security implications?
A. During the requirement phase of the secure development lifecycle, a developer must list all the required dependencies.
B. All open source dependencies are automatically secure due to public code review.
C. Clos... | A. During the requirement phase of the secure development lifecycle, a developer must list all the required dependencies. | computer_security | computer_science | ||
mmlu_aux_train_95711 | mmlu_aux_train | Rain pours on a road for a night, then freezes in the morning, so what happens to the road?
A. begins to crack
B. begins to swell
C. begins to slide
D. begins to crumble | A. begins to crack | high_school_physics | physics | ||
allenai/sciq_5040 | allenai/sciq | What is the study of rock strata called?
A. biochemistry
B. chemistry
C. biology
D. stratigraphy | D. stratigraphy | The study of rock strata is called stratigraphy . The laws of stratigraphy can help scientists understand Earth’s past. The laws of stratigraphy are usually credited to a geologist from Denmark named Nicolas Steno. He lived in the 1600s. The laws are illustrated in the Figure below ; refer to the figure as you read abo... | college_geology | earth_science | |
math_1203 | math_mc | The polynomial $x^3 - 2004 x^2 + mx + n$ has integer coefficients and three distinct positive zeros. Exactly one of these is an integer, and it is the sum of the other two. How many values of $n$ are possible? | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_438 | NLP4Education | Ensuring the information integrity means that...
A. the information should not leak to any unexpected party.
B. the information must be protected against any malicious modification.
C. the information should make clear who the author of it is.
D. DES is secure. | B. the information must be protected against any malicious modification. | computer_security | computer_science | ||
mmlu_aux_train_99045 | mmlu_aux_train | If the crust of a planet is adjusted in short order, a likely culprit is
A. moons
B. quivers
C. night
D. logs | B. quivers | astronomy | physics | ||
aquarat_88069 | deepmind/aqua_rat | For which of the following does n(a)−n(b)=n(a−b) for all values of a and b? | A. n(x)=x^2 B. n(x)=x/2 C. n(x)=x+5 D. n(x)=2x−1 E. n(x)=|x| | B. n(x)=x/2 | To solve this easiest way is just put the value and see that if it equals or not.
with option 1. n(a) = a^2 and n(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. n(a) = a/2 and n(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S whi... | abstract_algebra | mathematics |
allenai/sciq_2644 | allenai/sciq | Myopia and hyperopia are defects that can be corrected with devices?
A. casts
B. lenses
C. crutches
D. fins | B. lenses | Myopia and hyperopia can be corrected with lenses. | high_school_biology | biology | |
NLP4Education_589 | NLP4Education | Tick the \emph{true} assertion among the followings:
A. Visual cryptography is perfectly secure (at an unreasonable cost).
B. The Vernam cipher was invented by Kerckoff.
C. Just like coding theory, cryptography usually faces random noise.
D. Enigma has never been broken. | A. Visual cryptography is perfectly secure (at an unreasonable cost). | computer_security | computer_science | ||
allenai/sciq_11475 | allenai/sciq | What part of an experiment or other investigation consists of the individuals or events that are studied?
A. sample
B. experimental control
C. independent variable
D. hypothesis | A. sample | The sample in an experiment or other investigation consists of the individuals or events that are studied. Typically, the sample is much smaller than all such individuals or events that exist in the world. Whether the results based on the sample are true in general cannot be known for certain. However, the larger the s... | high_school_statistics | mathematics | |
NLP4Education_85 | NLP4Education | In a Ranked Retrieval result, the result at position k is non-relevant and at k+1 is relevant. Which of the following is always true (P@k and R@k are the precision and recall of the result set consisting of the k top ranked documents)?
A. P@k-1 > P@k+1
B. P@k-1 = P@k+1
C. R@k-1 < R@k+1
D. R@k-1 = R@k+1 | C. R@k-1 < R@k+1 | computer_security | computer_science | ||
pythonio_206 | 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([12, 35, 9, 56, 24])
Output: | D | code | computer_science | ||
math_1574 | math_mc | Find $1_6 + 2_6 + 3_6 + \cdots + 45_6$. Express your answer in base $6$. | A | math_Number Theory | mathematics | ||
aquarat_78091 | deepmind/aqua_rat | If S=x^4 + y^4 = 100, then the greatest possible value of x is between | A. 0 and 3 B. 3 and 6 C. 6 and 9 D. 9 and 12 E. 12 and 15 | B. 3 and 6 | My attempt:
If S=x^4+y^4=100, then the greatest possible value of x would be when y is minimum.
Let y^4 be 0. Now x^4 = 100. x should be definitely greater than 3 but less than 4. The only option that fits this range is B
Hence answer is --
b) 3 and 6. | college_mathematics | mathematics |
allenai/sciq_5587 | allenai/sciq | The entropy change is positive as the solid state changes into which state?
A. chemical
B. gas
C. liquid
D. mixture | C. liquid | The entropy change is positive as the solid state changes into the liquid state. If the transition went from the liquid to the solid state, the numerical value for would be the same, but the sign would be reversed since we are going from a less ordered to a more ordered situation. | college_chemistry | chemistry | |
mmlu_aux_train_93981 | mmlu_aux_train | Which tool would be best to use for counting the number of legs on an ant?
A. ruler
B. hand lens
C. calculator
D. microscope | B. hand lens | high_school_biology | biology | ||
mmlu_aux_train_9067 | mmlu_aux_train | Students across the country are finding ways, with the help of devoted teachers, to raise funds for causes near and dear to their hearts. While kids raise funds for bird habitats and heart health, they learn lessons that will help them succeed in school -- and in life. Feathered Friends To collect money for an importan... | A. Birds. | high_school_biology | biology | ||
mmlu_aux_train_77549 | mmlu_aux_train | A large number of people in the world eat fast food. Whenever you go into a fast food restaurant, you can see lots of people enjoying their meals there. How do you know in which country people like fast food best? The English people are the world's biggest fans of fast food, while the French are the least interested in... | D. the English | high_school_statistics | mathematics | ||
aquarat_86825 | deepmind/aqua_rat | Find the quotient when total no. Of divisors of 16! is divided by right most non-zero digit of 15! | A. 672 B. 682 C. 692 D. 745 E. 845 | A. 672 | first find the factors of 16!
and then divide with non zero digit of 15!
factors of 16!
prime no below 16 are 2 3 5 7 11 13
now highest power of 2 in 16! is 15
3is 6,5 is 3,7 is 2,11,is 1,13 is 1
so no of factors is 16*7*4*3*2*2=5376
now last digit in 15!
it can be written as 2^11*3^6*5^3*7^2*11^1*13*1
5^3*2^3 gives 0 ... | college_mathematics | mathematics |
aquarat_23042 | deepmind/aqua_rat | How many zeros does 65! end with? | A. 20 B. 15 C. 25 D. 30 E. 32 | B. 15 | According to above 65! has 65/5+65/25=13+2=15 trailing zeros.
Answer: B. | college_mathematics | mathematics |
math_1123 | math_mc | Given $w$ and $z$ are complex numbers such that $|w+z|=1$ and $|w^2+z^2|=14,$ find the smallest possible value of $|w^3+z^3|.$ | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_98 | NLP4Education | Given the following teleporting matrix (Ε) for nodes A, B and C:
[0 ½ 0]
[0 0 0]
[0 ½ 1]
and making no assumptions about the link matrix (R), which of the following is correct:
(Reminder: columns are the probabilities to leave the respective node.)
A. A random walker can never reach node A
B. A random walker can ... | D. A random walker can always leave node B | college_mathematics | mathematics |
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