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_4607 | mmlu_aux_train | In which example could a thermometer be used to show that heat energy is being transferred?
A. A piano is played by striking the keys.
B. A shovel is used to move dirt from one place to another.
C. A ball is thrown into the air.
D. A stove is used to boil water in a pan. | D. A stove is used to boil water in a pan. | conceptual_physics | physics | ||
math_1912 | math_mc | What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale.) [asy]
/* AMC8 1998 #13P */
size(1inch,1inch);
pair r1c1=(0,0), r1c2=(10,0), r1c3=(20,0), r1c4=(30, 0), r1c5=(40, 0);
pair r2c1=(0,10), r2c2=(10,10), r2c3=(20,10), r2c4=(30, 10), r2c5=(40, 10);
pair r3c1=(... | A | math_Prealgebra | mathematics | ||
allenai/sciq_1027 | allenai/sciq | The largest absorption of heat comes during the vaporization of what?
A. ice
B. liquid water
C. magma
D. carbon dioxide | B. liquid water | The total heat absorbed as the ice at -30°C is heated to steam at 140°C is 113.4 kJ. The largest absorption of heat comes during the vaporization of the liquid water. | college_chemistry | chemistry | |
NLP4Education_286 | NLP4Education | For his awesome research, Tugrulcan is going to use the PageRank with teleportation and HITS algorithm, not on a network of webpages but on the retweet network of Twitter! The retweet network is a directed graph, where nodes are users and an edge going out from a user A and to a user B means that "User A retweeted User... | C. It will have a PageRank of zero. | college_computer_science | computer_science | ||
allenai/sciq_5002 | allenai/sciq | What is the hollow and muscular balloon-shaped organ that collects urine?
A. kidney
B. urinary bladder
C. urethra
D. prostate | B. urinary bladder | The urinary bladder is a hollow and muscular organ. It is shaped a little like a balloon. It is the organ that collects urine. | high_school_biology | biology | |
aquarat_73454 | deepmind/aqua_rat | There are thirty-four lines that are tangent to a circle, and these lines create regions in the plane. Can you tell how many of these regions are not enclosed ? | A. 50 B. 74 C. 37 D. 77 E. 68 | E. 68 | E
68
68 regions. Each new tangent increases the non-enclosed areas by two | college_mathematics | mathematics |
allenai/sciq_5647 | allenai/sciq | The four major classes of biological macromolecules include carbohydrates, lipids, proteins, and what else?
A. nucleic acids
B. structural acids
C. liquids
D. fats | A. nucleic acids | 3.1 | Synthesis of Biological Macromolecules By the end of this section, you will be able to: • Understand the synthesis of macromolecules • Explain dehydration (or condensation) and hydrolysis reactions As you’ve learned, biological macromolecules are large molecules, necessary for life, that are built from smaller or... | high_school_biology | biology | |
mmlu_aux_train_99665 | mmlu_aux_train | What are predators?
A. herbivores
B. plant eaters
C. meat devourers
D. peaceful | C. meat devourers | high_school_biology | biology | ||
mmlu_aux_train_99758 | mmlu_aux_train | When a creature experiences feeling, they are likely
A. making really good choices
B. taking the next train
C. sensing a thing's texture
D. dead from complete exhaustion | C. sensing a thing's texture | high_school_biology | biology | ||
mmlu_aux_train_4611 | mmlu_aux_train | A simple machine that helps move a flag up a flagpole is
A. a bar magnet
B. an inclined plane
C. a pulley
D. a lever | C. a pulley | conceptual_physics | physics | ||
NLP4Education_134 | NLP4Education | Given the 2-itemsets {1, 2}, {1, 3}, {1, 5}, {2, 3}, {2, 5}, when generating the 3-itemset we will:
A. Have 4 3-itemsets after the join and 2 3-itemsets after the prune
B. Have 3 3-itemsets after the join and 3 3-itemsets after the prune
C. Have 4 3-itemsets after the join and 4 3-itemsets after the prune
D. Have 2 3-i... | A. Have 4 3-itemsets after the join and 2 3-itemsets after the prune | machine_learning | computer_science | ||
math_323 | math_mc | Given that $f(x) = x^k$ where $k > 0$, what is the range of $f(x)$ on the interval $[1, \infty)$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_4374 | mmlu_aux_train | People are developing electric cars that would replace gasoline-burning cars. One major advantage of the electric car is that it
A. accelerates faster.
B. causes less pollution.
C. gives a smoother ride.
D. needs no battery. | B. causes less pollution. | conceptual_physics | physics | ||
aquarat_92865 | deepmind/aqua_rat | Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 72% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere? | A. 7 B. 11 C. 13 D. 14 E. 38 | D. 14 | Maximum number of points on the surface is 72%*39 = 28.08 ... or 28 since it has to be an integer
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 28 points, so at best we can form 14 pairs (28).
So, answer is (D) | college_mathematics | mathematics |
allenai/sciq_5048 | allenai/sciq | The magnitude of the momentum vector is the product of what two properties?
A. acceleration and speed
B. work and speed
C. volume and speed
D. mass and speed | D. mass and speed | Momentum is a vector that points in the direction of the velocity vector. The magnitude of this vector is the product of mass and speed. | conceptual_physics | physics | |
mmlu_aux_train_42851 | mmlu_aux_train | A family living in an apartment house in the suburbs of a large city had a cat of which they were very much fond. One day the cat got sick and finally dies. As there was no back yard to their home in which to bury the cat. Father was forced to wrap the cat up in a newspaper and take it with him, being carefully reminde... | C. The family lived in the suburbs, who were fond of the cat. | high_school_computer_science | computer_science | ||
mmlu_aux_train_68956 | mmlu_aux_train | Starting a new school term is always exciting. It is a chance to see your friends again. But most exciting of all, the new term is a chance to take up new hobbies. It is common in Britain for students to take up new hobbies after the Christmas holidays. Deciding to start something new is a common New Year plan. Most sc... | B. start a new hobby | high_school_computer_science | computer_science | ||
mmlu_aux_train_53246 | mmlu_aux_train | Even with the multimedia excitement of the web. Electronic Mail, email, is the most frequently used application of the Internet. Many people who have a chance to use the Internet at school, home, and work. They use the Internet for no other purposes than to send or receive emails. It's all very easy. You prepare the me... | C. email | high_school_computer_science | computer_science | ||
pythonio_861 | pythonio-mc | Program:
def chunk_tuples(test_tup, N):
res = [test_tup[i : i + N] for i in range(0, len(test_tup), N)]
return (res)
Input:
chunk_tuples((1, 2, 3, 4, 5, 6, 7, 8, 9), 2)
Output: | C | code | computer_science | ||
NLP4Education_735 | NLP4Education | Which of the following is/are true about testing?
A. False positives never occur in static analyses.
B. Symbolic execution is a technique of whitebox dynamic testing.
C. Tests are sufficient to prove that a program is bug-free.
D. Adequate code coverage is irrelevant for dynamic testing. | B. Symbolic execution is a technique of whitebox dynamic testing. | college_computer_science | computer_science | ||
NLP4Education_403 | NLP4Education | Visual cryptography is a nice visual application of \ldots
A. the Vigenère cipher.
B. the Vernam cipher.
C. the Caesar cipher.
D. ROT13. | B. the Vernam cipher. | computer_security | computer_science | ||
aquarat_17826 | deepmind/aqua_rat | A test has a mean of 220 and a standard deviation of 10, find the corresponding z score for: a) a test score of 232? | A. A)1.2 B. B)2.4 C. C)5 D. D)5.6 E. E)7 | A. A)1.2 | A test has a mean of 220 and a standard deviation of 10,
find the corresponding z score for:
a) a test score of 232,
z(232) = (232-220)/10 = 12/10 = 1.2
Option A | high_school_statistics | mathematics |
mmlu_aux_train_99782 | mmlu_aux_train | Which of these could contribute to a species' demise?
A. An abundance of vegetation
B. A good supply of prey
C. Adequate shelter and companionship
D. A long period without rainfall | D. A long period without rainfall | high_school_biology | biology | ||
aquarat_87295 | deepmind/aqua_rat | Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 + S2 – S1+S0. What is the value of K? | A. 67 B. 130 C. 45 D. 41 E. 36 | B. 130 | I used brute force for this question:
S6: 36+30+94=160
S5: 25+25+94=144
S4: 16+20+94=130
S3: 9+15+94=118
S2: 4+10+94=108
S1: 1+5+94=100
S0: 0+0+94=94
S6-S5+S4-S3+S2-S1+S0= 16+12+8+94=130
Answer B | college_mathematics | mathematics |
mmlu_aux_train_99122 | mmlu_aux_train | Rock that has been metamorphosed will have potentially withstood this to get to that point
A. old trees
B. small mice
C. large exertions
D. big sneezes | C. large exertions | earth_science | earth_science | ||
math_307 | math_mc | Let the first term of a geometric sequence be $\frac{3}{4}$, and let the second term be $15$. What is the smallest $n$ for which the $n$th term of the sequence is divisible by one million? | B | math_Algebra | mathematics | ||
math_1074 | math_mc | Two points $A(x_1, y_1)$ and $B(x_2, y_2)$ are chosen on the graph of $f(x) = \ln x$, with $0 < x_1 < x_2$. The points $C$ and $D$ trisect $\overline{AB}$, with $AC < CB$. Through $C$ a horizontal line is drawn to cut the curve at $E(x_3, y_3)$. Find $x_3$ if $x_1 = 1$ and $x_2 = 1000$.
| D | math_Geometry | mathematics | ||
pythonio_717 | pythonio-mc | Program:
def get_odd_occurence(arr, arr_size):
for i in range(0, arr_size):
count = 0
for j in range(0, arr_size):
if arr[i] == arr[j]:
count += 1
if (count % 2 != 0):
return arr[i]
return -1
Input:
get_odd_occurence([5, 7, 2, 7, 5, 2, 5], 7)
Output: | D | code | computer_science | ||
math_219 | math_mc | Simplify $\displaystyle\frac{1-i}{2+3i}$, where $i^2 = -1.$ | A | math_Algebra | mathematics | ||
math_1252 | math_mc | Find all real numbers $p$ so that
\[x^4 + 2px^3 + x^2 + 2px + 1 = 0\]has at least two distinct negative real roots. | C | math_Intermediate Algebra | mathematics | ||
aquarat_38282 | deepmind/aqua_rat | A string of 30 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.1, what is the probability that the string of light bulbs will fail during the time period T? | A. 0.1 B. (0.1)^30 C. 1 - (0.1)^30 D. (0.93)^30 E. 1 - (0.90)^30 | E. 1 - (0.90)^30 | The string of light bulbs will fail if at least one light bulb fails. So, let's find the probability of the opposite event and subtract that value from 1.
The opposite event is when none of the 30 light bulbs fails, since the probability of each light bulb not to fail is 1-0.1=0.90 the the probability that none of the ... | high_school_statistics | mathematics |
math_160 | math_mc | How many points of intersection are there between the graphs of the following equations: \begin{align*}
y &=|2x + 5|, \\
y &= -|3x - 2|
\end{align*} | A | math_Algebra | mathematics | ||
allenai/sciq_1933 | allenai/sciq | When what element - whose name means "light bringing" - was first isolated, scientists noted that it glowed in the dark and burned when exposed to air?
A. phosphorus
B. neon
C. oxygen
D. mercury | A. phosphorus | Phosphorus The name phosphorus comes from the Greek words meaning light bringing. When phosphorus was first isolated, scientists noted that it glowed in the dark and burned when exposed to air. Phosphorus is the only member of its group that does not occur in the uncombined state in nature; it exists in many allotropic... | high_school_chemistry | chemistry | |
math_634 | math_mc | If the probability that a baby born in a certain hospital will speak in the next day is 1/4, what is the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow? | D | math_Counting & Probability | mathematics | ||
aquarat_65814 | deepmind/aqua_rat | If f(x)=x^2 and x is an integer, which of the following CANNOT be the value of f(f(x))? | A. 144 B. 16 C. 81 D. 1 E. 256 | A. 144 | f(x)=x^2
f(f(x)) = (x^2)^2
=x^4
D. 1 , x=1
B. 16 , x=2
C. 81 , x=3
A. 144
f(x)=12
Square root of 12 is not a positive integer . Hence 144 can not be the value of f(f(x)) .
E. 256 , x=4
Answer A | college_mathematics | mathematics |
math_1854 | math_mc | In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle $A$ is 40 degrees less than the measure of angle $D$, what is the measure of angle $D$? | C | math_Prealgebra | mathematics | ||
allenai/sciq_4796 | allenai/sciq | What is the amount of moisture in the atmosphere?
A. mixture
B. heat
C. humidity
D. static | C. humidity | college_physics | physics | ||
NLP4Education_610 | NLP4Education | Which one of these attacks is not a side channel attack?
A. sound analysis
B. electromagnetic fields analysis
C. differential fault analysis
D. brute force attack | D. brute force attack | computer_security | computer_science | ||
pythonio_931 | pythonio-mc | Program:
import math
def get_First_Set_Bit_Pos(n):
return math.log2(n&-n)+1
Input:
get_First_Set_Bit_Pos(12)
Output: | D | code | computer_science | ||
math_1710 | math_mc | How many positive integers, not exceeding 100, are multiples of 2 or 3 but not 4? | B | math_Number Theory | mathematics | ||
mmlu_aux_train_99713 | mmlu_aux_train | If you wanted to see the source of sunshine you would look at
A. TV
B. the yellow dwarf
C. volcanoes
D. the moon | B. the yellow dwarf | astronomy | physics | ||
aquarat_60733 | deepmind/aqua_rat | If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)? | A. 1/f(x) B. -f(x) C. 2/f(x) D. f(x) E. 3*f(x) | B. -f(x) | If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x)
answer B | college_mathematics | mathematics |
mmlu_aux_train_93693 | mmlu_aux_train | A farmer sprayed his orange trees with a pesticide to eliminate the insects damaging the trees. Some of the insects survived and produced offspring that were also resistant to the insecticide. Which process is illustrated by the pesticide resistance of the offspring?
A. natural selection
B. selective breeding
C. aerob... | A. natural selection | high_school_biology | biology | ||
pythonio_377 | pythonio-mc | Program:
def move_last(num_list):
a = [num_list[0] for i in range(num_list.count(num_list[0]))]
x = [ i for i in num_list if i != num_list[0]]
x.extend(a)
return (x)
Input:
move_last([1,2,3,4])
Output: | D | code | computer_science | ||
NLP4Education_824 | NLP4Education | What is the value of \(f(4)\) where \(f\) is defined as \(f(0) = f(1) = 1\) and \(f(n) = 2f(n - 1) + 3f(n - 2)\) for integers \(n \geq 2\)?
A. 41
B. 45
C. 39
D. 43 | A. 41 | college_mathematics | mathematics | ||
allenai/sciq_4473 | allenai/sciq | The waves on the strings of musical instruments are transverse—so are electromagnetic waves, such as visible light. sound waves in air and water are this?
A. longitudinal
B. hydroelectric
C. horizontal
D. symmetrical | A. longitudinal | Waves may be transverse, longitudinal, or a combination of the two. (Water waves are actually a combination of transverse and longitudinal. The simplified water wave illustrated in Figure 16.30 shows no longitudinal motion of the bird. ) The waves on the strings of musical instruments are transverse—so are electromagne... | conceptual_physics | physics | |
allenai/sciq_8001 | allenai/sciq | All chemical changes involve a transfer of what?
A. Water
B. energy
C. fuel
D. heating | B. energy | All chemical changes involve a transfer of energy. When zinc reacts with hydrochloric acid, the test tube becomes very warm as energy is released during the reaction. Some other reactions absorb energy. While energy changes are a potential sign of a chemical reaction, care must be taken to ensure that a chemical reacti... | high_school_chemistry | chemistry | |
allenai/sciq_3217 | allenai/sciq | The name of a monatomic cation is simply the name of the element followed by this word?
A. amine
B. ion
C. laser
D. bond | B. ion | The name of a monatomic cation is simply the name of the element followed by the word ion. Thus, Na+ is the sodium ion, Al3+ is the aluminum ion, Ca2+ is the calcium ion, and so forth. We have seen that some elements lose different numbers of electrons, producing ions of different charges (Figure 3.3 "Predicting Ionic ... | high_school_chemistry | chemistry | |
aquarat_64186 | deepmind/aqua_rat | Which of the following are roots of an equation (x^-2)-(2x^-1)-35=0 | A. 1/5 and -1/7 B. -1/5 and 1/7 C. 1/5 and 1/7 D. -1/5 and -1/7 E. -5/2 and -1/7 | B. -1/5 and 1/7 | Given: (x^-2) - (2x^-1) - 35 = 0
Rewrite as: 1/(x²) - 2/x - 35 = 0
Remove fractions by multiplying both sides by x² to get: 1 - 2x - 35x² = 0
Rearrange to get: 35x² + 2x - 1 = 0
Factor to get: (5x + 1)(7x - 1) = 0
So, EITHER 5x + 1 OR 7x - 1 = 0
If 5x + 1 = 0, then x = -1/5
If 7x - 1 = 0, then x = 1/7
So, the roots (so... | college_mathematics | mathematics |
aquarat_50828 | deepmind/aqua_rat | If f1(x)=f(x)=12xf1(x)=f(x)=12x and fn(x)=f(fn−1(x)fn(x)=f(fn−1(x), then find f5(x)+f10(x)f5(x)+f10(x) where x = 1 | A. 3/9 B. 3/2 C. 3/1 D. 3/3 E. 3/4 | B. 3/2 | f(x) = 12x12x and f(f(x)) = f(12x)f(12x) = 12(12x)12(12x) = x
Similarly f3(x)=f(f2(x))=f(x)=12xf3(x)=f(f2(x))=f(x)=12x and f4(x)=f(f3(x))=f(12x)=12×12x=xf4(x)=f(f3(x))=f(12x)=12×12x=x
Hence fn(x)=12xfn(x)=12x for n = odd and fn(x)=xfn(x)=x for n = even
f5(x)+f10(x)=12x+xf5(x)+f10(x)=12x+x
If x = 1, ⇒12×1+1=3/2
Answer:B | college_mathematics | mathematics |
pythonio_740 | pythonio-mc | Program:
import math
def sum_of_odd_Factors(n):
res = 1
while n % 2 == 0:
n = n // 2
for i in range(3,int(math.sqrt(n) + 1)):
count = 0
curr_sum = 1
curr_term = 1
while n % i == 0:
count+=1
n = n // i
curr_term *=... | D | code | computer_science | ||
aquarat_12597 | deepmind/aqua_rat | There is a 40% chance that Germany will not win at all during the whole season. There is a 50% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Germany will win and Federer will play during the season? | A. 50% B. 60% C. 70% D. 72% E. 80% | A. 50% | There is a 40% chance that Germany will not win at all during the whole season
We can infer that there is 60% chance Germany will win .
Similarly There is a 50% chance that Federer will not play at all in the whole season
We can also infer that there is 50% chance that Federer will play.
Answer A | high_school_statistics | mathematics |
math_641 | math_mc | Jane is 25 years old. Dick is older than Jane. In $n$ years, where $n$ is a positive integer, Dick's age and Jane's age will both be two-digit number and will have the property that Jane's age is obtained by interchanging the digits of Dick's age. Let $d$ be Dick's present age. How many ordered pairs of positive intege... | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_92235 | mmlu_aux_train | My name is Lucy. I come from America. I am now in China. I study in Hangzhou Shulan Middle School. There are many clubs in our school. They are an English club, an art club, a music club, a ball game club, a swimming club, a chess club and a computer club. There is a "Show Yourselves !" Festival in our school every ye... | C. New York | high_school_computer_science | computer_science | ||
math_514 | math_mc | Four people sit around a circular table, and each person will roll a standard six-sided die. What is the probability that no two people sitting next to each other will roll the same number after they each roll the die once? Express your answer as a common fraction. | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_2280 | mmlu_aux_train | A gasoline is advertised as "releasing fewer pollutants" when it is used in cars. For this claim to be accurate, what has most likely happened to the gasoline?
A. Its acidity has been increased.
B. More oxygen has been dissolved in it.
C. Impurities have been removed.
D. Its molecules have higher chemical energies. | C. Impurities have been removed. | high_school_chemistry | chemistry | ||
math_30 | math_mc | A lattice point in the $x,y$-plane is a point both of whose coordinates are integers (not necessarily positive). How many lattice points lie on the graph of the equation $x^2-y^2=47$? | C | math_Algebra | mathematics | ||
mmlu_aux_train_9150 | mmlu_aux_train | How to Beat On-line Credit-card Thieves The Internet has led to a huge increase in credit-card fraud. Your card information could even be for sale in an illegal web site. Web sites offering cheap services should be regarded with care. On-line shoppers who enter their credit-card information may never receive the goods ... | A. fraud on the Internet | computer_security | computer_science | ||
mmlu_aux_train_91207 | mmlu_aux_train | Computers can help many workers. They can also help thieves. There was one thief who worked in a bank of the United States. He paid for everything he needed by check . Then he told the computer not to take any money from his account for the checks he wrote. The bank's computer did what he said. And it did not take any... | C. A bank worker. | high_school_computer_science | computer_science | ||
allenai/sciq_10640 | allenai/sciq | Decay of what provides some of earth's internal heat?
A. decaying elements
B. radioactive elements
C. radioactive compounds
D. ionic elements | B. radioactive elements | Earth's internal heat does not depend on the Sun for energy. This heat comes from remnant heat when the planet formed. It also comes from the decay of radioactive elements. Radioactivity is an important source of energy. | college_earth_science | earth_science | |
NLP4Education_257 | NLP4Education | Suppose that in a given FP Tree, an item in a leaf node N exists in every path. Which of the following is true?
A. N co-occurs with its prefixes in every transaction
B. {N}’s minimum possible support is equal to the number of paths
C. For every node P that is a parent of N in the FP tree, confidence(P→N) = 0
D. The ite... | B. {N}’s minimum possible support is equal to the number of paths | college_computer_science | computer_science | ||
mmlu_aux_train_64247 | mmlu_aux_train | The Internet and the World Web are great places to be right now. We use the word "place" because so many of the things you can do online are similar to the things you can do wherever people gather together-in homes , schools , libraries , shopping centers , or at family reunions or town meetings. The Net allows peopl... | A. places to visit | high_school_computer_science | computer_science | ||
allenai/sciq_4965 | allenai/sciq | What kind of interactions do polar substances experience?
A. monopole-monopole interactions
B. monopole-dipole interactions
C. axial interactions
D. dipole-dipole interactions | D. dipole-dipole interactions | Substances that are polar experience dipole-dipole interactions. | college_chemistry | chemistry | |
allenai/sciq_862 | allenai/sciq | What term means the minimum energy required in order for a collision between molecules to result in a chemical reaction?
A. maximum energy
B. activation energy
C. solar energy
D. depletion energy | B. activation energy | Summary A minimum energy (activation energy, Ea) is required for a collision between molecules to result in a chemical reaction. Plots of potential energy for a system versus the reaction coordinate show an energy barrier that must be overcome for the reaction to occur. The arrangement of atoms at the highest point of ... | high_school_chemistry | chemistry | |
NLP4Education_800 | NLP4Education | Determine which of the following compound propositions are satisfiable (more than one answer can be correct):
A. (p↔q)∧(¬p↔q)
B. (p → q)∧(p → ¬q)∧(¬p → q)
C. (p∨¬q)∧(¬p∨q)∧(¬p∨¬q)
D. None of the other options | B. (p → q)∧(p → ¬q)∧(¬p → q) | formal_logic | mathematics | ||
NLP4Education_547 | NLP4Education | Choose the \emph{correct} statement
A. Elliptic curves form a field.
B. Elliptic curves form a ring.
C. Elliptic curves form an Abelian group.
D. Elliptic curves form an ideal. | C. Elliptic curves form an Abelian group. | abstract_algebra | mathematics | ||
mmlu_aux_train_35652 | mmlu_aux_train | A study involving 8,500 teenagers from all social backgrounds found thai most of them are ignorani when it comes to money. The findings, the first in a scries of reports from NatWesl that has started a five-year research project into teenagers and money, arc particularly worrying as this generation of young people is l... | C. Teenagers tend to overestimate their future earnings. | high_school_statistics | mathematics | ||
math_989 | math_mc | A rectangle measures 6 meters by 10 meters. Drawn on each side of the rectangle is a semicircle that has the endpoints of its diameter on the vertices of the rectangle. What percent larger is the area of the large semicircles than the area of the small semicircles? Express your answer to the nearest whole number. | B | math_Geometry | mathematics | ||
aquarat_47012 | deepmind/aqua_rat | Set A is {1, 3, 5, 7, 9}
Set B is {12, 14, 16, 18, 20}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A. | A. I only B. I and II only C. I and III only D. II and III only E. I, II, and III | B. I and II only | The mean and median of Set A is 5.
The mean and median of Set B is 16.
Thus statements I and II are both true.
The standard deviation is related to the distance from the mean.
Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.
The answe... | high_school_statistics | mathematics |
aquarat_10901 | deepmind/aqua_rat | In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean? | A. a) 48 B. b) 67.5 C. c) 72 D. d) 77.5 E. e) 81 | B. b) 67.5 | Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.
Here, we're told two things about a group of numbers:
1) The average of the gr... | high_school_statistics | mathematics |
math_801 | math_mc | Suppose that we are given 40 points equally spaced around the perimeter of a square, so that four of them are located at the vertices and the remaining points divide each side into ten congruent segments. If $P$, $Q$, and $R$ are chosen to be any three of these points which are not collinear, then how many different p... | D | math_Geometry | mathematics | ||
mmlu_aux_train_64187 | mmlu_aux_train | Taxi, the underground, driving...in London these means of transport are expensive. As a student on a budget, I couldn't afford the 30 pounds (around 300 yuan) fare for a taxi. Even a bus was one pound and 20 pence (about 12 yuan) for a single ticket. I didn't need to travel this way anyway. I had Mabel-- my London bike... | B. Cars, taxis and motorbikes on the cycle lane pose a threat to cyclists. | high_school_computer_science | computer_science | ||
aquarat_26221 | deepmind/aqua_rat | You forgot the three digit code of your safe. But you have written some hints to calculate the code if you forgot the code.
Below are the hints that you have written
Hint-1 : One of the numbers is correct and is placed in its correct position
5 4 7
Hint-2: Nothing is correct
5 3 0
Hint-3: Two numbers are correct but no... | A. 827 B. 728 C. 923 D. 323 E. 927 | E. 927 | E
927
1) 5 4 7 : 7 is placed correctly
2) 5 3 0 : None of the numbers is in the code
3) 2 5 9 : 2 & 9 are correct number of code but placed at wrong position
4) 7 0 6: Number 7 is there but placed at wrong position
5) 6 4 9: Number 9 is there but placed at wrong position | formal_logic | mathematics |
mmlu_aux_train_15300 | mmlu_aux_train | On November 8,all flags in Finland were flown at half-mast .People were showing their respect to the victims of a high school tragedy.The day before,an 18-year-old boy opened fire at his high school, killing seven other students and the principal before ending his own life. The first school shooting in Finland since... | B. Finland has much bloodshed caused by firearms. | high_school_statistics | mathematics | ||
mmlu_aux_train_13657 | mmlu_aux_train | This is VOA. The National Cryptologic Museum is on Fort George G. Meade, a military base near Washington, DC. The method of hiding exact meanings is called coding. People have used secret codes throughout history to protect important information. The National Cryptologic Museum celebrated 60 years of cryptologic excell... | C. in 1952 | computer_security | computer_science | ||
aquarat_23967 | deepmind/aqua_rat | A,B and C are brothers . D is A's father while G is B's son. Which of the following statements is definitely true ? | A. D is G's grandparent B. B is D's uncle C. C is G's brother D. D is B's brother E. A is G's nephew | A. D is G's grandparent | Explanation:
A,B and C are children of same parents. So. G who is B's son is a grandchild to D.
Answer: A) | formal_logic | mathematics |
NLP4Education_348 | NLP4Education | What are possible morphological analyses of "drinks"? (Penalty for wrong ticks)
A. drink+ADJ
B. drink+N+p
C. drink+VERB+p
D. drinks+N+p | B. drink+N+p | college_computer_science | computer_science | ||
NLP4Education_485 | NLP4Education | Tonelli Algorithm is for ...
A. computing the discrete logarithm.
B. finding the inverse of an element in $\mathbb{Z}$.
C. finding the square-root of an integer in $\mathbb{Z}_p^*$.
D. solving the extended Euclidean algorithm in $\mathbb{Z}$. | C. finding the square-root of an integer in $\mathbb{Z}_p^*$. | abstract_algebra | mathematics | ||
aquarat_3900 | deepmind/aqua_rat | A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between | A. 0 and 1/6 B. 1/6 and 1/3 C. 1/3 and 1/2 D. 1/2 and 2/3 E. 2/3 and 5/6 | B. 1/6 and 1/3 | K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1
Note that 1/10 is least value and is equal to 0.1 so we can write above series as
K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1
K=1/3+
P (3 or 5 or 7) =K*13/24
Required probability Q= 13/24 × 1/3+ = 4+/24 > 1/6
Answer should be B
P.s. 3+ denotes a value litt... | college_mathematics | mathematics |
NLP4Education_252 | NLP4Education | If the top 100 documents contain 50 relevant documents
A. The precision of the system at 50 is 0.25
B. The precision of the system at 100 is 0.5
C. The recall of the system is 0.5
D. The recall of the system is 1.0 | B. The precision of the system at 100 is 0.5 | computer_security | computer_science | ||
math_2037 | math_mc | A boy has the following seven coins in his pocket: $2$ pennies, $2$ nickels, $2$ dimes, and $1$ quarter. He takes out two coins, records the sum of their values, and then puts them back with the other coins. He continues to take out two coins, record the sum of their values, and put them back. How many different sums c... | C | math_Prealgebra | mathematics | ||
math_1953 | math_mc | How many two-digit numbers have digits whose sum is a perfect square? | C | math_Prealgebra | mathematics | ||
allenai/sciq_4855 | allenai/sciq | Over many generations, the resulting genetic diversity provides valuable raw material for what?
A. characteristic selection
B. natural selection
C. intelligent selection
D. coral selection | B. natural selection | high_school_biology | biology | ||
allenai/sciq_50 | allenai/sciq | A pulley changes the direction of the force t exerted by the cord without changing its what?
A. longitude
B. position
C. latitude
D. magnitude | D. magnitude | automobile axle drives a wheel, which has a much larger diameter than the axle. The MA is less than 1. (c) An ordinary pulley is used to lift a heavy load. The pulley changes the direction of the force T exerted by the cord without changing its magnitude. Hence, this machine has an MA of 1. | conceptual_physics | physics | |
aquarat_90100 | deepmind/aqua_rat | Consider the following game, in which a referee picks a random integer between 1 and 100.
One after the other, each of three players tries to guess the number the referee picked. Each
player announces his or her guess before the next player guesses. Each guess has to be different
from the previous guesses. The winner i... | A. 1 B. 25 C. 62 D. 63 E. 64 | D. 63 | First of all, observe that it always gives the third player the best chances to win if
[s]he guesses the lowest number in some range which the other players left open. Thus, if you
choose 63, this narrows the third player’s choices down to 1, 25, and 64. Guessing 25 gives
a range of 38 numbers (25 through 62 inclusive)... | formal_logic | mathematics |
aquarat_48 | deepmind/aqua_rat | In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the male students is single? | A. 2/7 B. 1/3 C. 1/2 D. 2/3 E. 5/7 | E. 5/7 | let assume there are 100 students of which 70 are male and 30 are females
if 30 are married then 70 will be single.
now its given that two-sevenths of the male students are married that means 2/7 of 70 = 20 males are married
if 30 is the total number of students who are married and out of that 20 are males then the rem... | college_mathematics | mathematics |
aquarat_45966 | deepmind/aqua_rat | . Star question:
If f(1)=4 and f(x+y)=f(x)+f(y)+7xy+4,then f(2)+f(5)=? | A. 125 B. 977 C. 289 D. 1077 E. 111 | A. 125 | Let x =1 and y = 1
f(1 + 1) = f(1) + f(1) + 7 x 1 x 1 + 4 ⇒⇒ f(2) = 19
Let x =2 and y = 2
f(2 + 2) = 19 + 19 + 7 x 2 x 2 + 4 ⇒⇒ f(4) = 70
Let x = 1 and y = 4
f( 1 + 4) = 4 + 70 + 28 + 4 = 106
f(2) + f(5) = 125
Answer:A | college_mathematics | mathematics |
mmlu_aux_train_99263 | mmlu_aux_train | A storm moving over the earth will dump more rain on a
A. meadow
B. sandy area
C. arctic
D. desert | A. meadow | college_earth_science | earth_science | ||
mmlu_aux_train_98693 | mmlu_aux_train | Which absorbs more sunlight?
A. palm frond
B. a mirror
C. maple syrup
D. Wednesday | A. palm frond | college_biology | biology | ||
math_164 | math_mc | Let $g(x)$ be a function piecewise defined as \[g(x) = \left\{
\begin{array}{cl}
-x & x\le 0, \\
2x-41 & x>0.
\end{array}
\right.\] If $a$ is negative, find $a$ so that $g(g(g(10.5)))=g(g(g(a)))$. | C | math_Algebra | mathematics | ||
aquarat_84494 | deepmind/aqua_rat | What will be the output of the following code statements?
Integer a = 12, b = 45, c = 6 print (a × b / c) – c | A. 65 B. 84 C. 29 D. 26 E. 81 | B. 84 | Explanation:
Apply BODMAS rule
12 × 45 = 540/6-6 =90 –6 =84
Answer:B | high_school_computer_science | computer_science |
mmlu_aux_train_93315 | mmlu_aux_train | When air is heated, it will most likely
A. expand and fall.
B. expand and rise.
C. condense and fall.
D. condense and rise. | B. expand and rise. | conceptual_physics | physics | ||
pythonio_52 | pythonio-mc | Program:
def get_pairs_count(arr, n, sum):
count = 0
for i in range(0, n):
for j in range(i + 1, n):
if arr[i] + arr[j] == sum:
count += 1
return count
Input:
get_pairs_count([1, 5, 7, -1, 5], 5, 6)
Output: | B | code | computer_science | ||
aquarat_39101 | deepmind/aqua_rat | In a School, 93 percent of students like vegetarian, 95 percent of students like Non-veg, 89 percent likes fast food and 91 percent likes Chines food.
Can you find out the percentage of students who like all 4 food variety? | A. 50% B. 65% C. 75% D. 88% E. 68% | E. 68% | E
68% of student study all four subjects. | high_school_statistics | mathematics |
math_1655 | math_mc | What is that largest positive integer $n$ for which $n^3+100$ is divisible by $n+10$?
| C | math_Number Theory | mathematics | ||
mmlu_aux_train_84420 | mmlu_aux_train | Good morning, boys and girls. Today I'll talk about going online. We know that there are too many net bars around us. The Internet can make our lives interesting and enjoyable. Many of us like going online very much because we can learn how to use the computer and can get more information from the Internet. We can lea... | D. all of the above | high_school_computer_science | computer_science | ||
math_1020 | math_mc | A triangle with sides of 5, 12, and 13 has both an inscribed and a circumscribed circle. What is the distance between the centers of those circles? | A | math_Geometry | mathematics | ||
aquarat_81194 | deepmind/aqua_rat | Given that f(1) = 1 and f(2) = 1. If f(n) = f(n+1) - f(n - 1), then find the value of f(8)−f(7)+f(5)f(7)−f(6)−f(4) | A. 13/2 B. 13/9 C. 13/1 D. 13/6 E. 13/4 | A. 13/2 | f(n) = f(n+1) - f(n - 1)
⇒⇒ f(n - 1) = f(n + 1) = f(1)
f(8) - f(7) = f(6) and f(7) - f(6) = f(5)
⇒⇒f(n + 1) = f(n) + f(n - 1)
⇒⇒f(3) = f(2) + f(1) = 1 + 1 = 2
⇒⇒f(4) = f(3) + f(2) = 2 + 1 = 3
⇒⇒f(5) = f(4) + f(3) = 3 + 2 = 5
⇒⇒ f(6) = f(5) + f(4) = 5 + 3 = 8
f(8)−f(7)+f(5)f(7)−f(6)−f(4)=f(6)+f(5)f(5)−f(4)=8+55−3=13/2
A... | college_mathematics | mathematics |
aquarat_75824 | deepmind/aqua_rat | In case M is the only individual sewing on committee B, which among the following shouldserve on committee A? | A. V and U B. V and T C. U and S D. N and O E. T and U | D. N and O | N and O should serve on A
ANSWER:D | formal_logic | mathematics |
pythonio_645 | pythonio-mc | Program:
def test_three_equal(x,y,z):
result= set([x,y,z])
if len(result)==3:
return 0
else:
return (4-len(result))
Input:
test_three_equal(1,2,2)
Output: | A | code | computer_science |
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