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_4742 | mmlu_aux_train | Which of the following is the best observation of the refraction of light?
A. Looking at oneself in a mirror
B. Looking at a shadow of an object
C. Viewing an object through an open window
D. Viewing an object partially in water | D. Viewing an object partially in water | high_school_physics | physics | ||
math_754 | math_mc | Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Expres... | C | math_Geometry | mathematics | ||
math_29 | math_mc | Luke is borrowing $\$10{,}000$ from the bank. The bank offers him a choice between two $10$-year payment plans:
${\bf Plan~1.}$ Luke's debt accumulates $10\%$ annual interest which compounds quarterly. Luke pays off half his balance after $5$ years, and the rest at the end of the $10$ years.
${\bf Plan~2.}$ Luke's ... | A | math_Algebra | mathematics | ||
math_1086 | math_mc | Three circles of radius 1 are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle? Express your answer as a common fraction in simplest radical form.
[asy]
draw(Circle((0,-0.58),2.15),linewidth(0.7));
draw(Circle((-1,0),1),linewidth(0.7));
draw(Circle((1,0... | C | math_Geometry | mathematics | ||
math_1674 | math_mc | What is the smallest positive integer $a$ such that $a^{-1}$ is undefined $\pmod{55}$ and $a^{-1}$ is also undefined $\pmod{66}$? | C | math_Number Theory | mathematics | ||
pythonio_373 | pythonio-mc | Program:
import sys
def find_max_val(n, x, y):
ans = -sys.maxsize
for k in range(n + 1):
if (k % x == y):
ans = max(ans, k)
return (ans if (ans >= 0 and
ans <= n) else -1)
Input:
find_max_val(16, 11, 1)
Output: | A | code | computer_science | ||
math_1635 | math_mc | For how many integer values of $n$ between 1 and 349 inclusive does the decimal representation of $\frac{n}{350}$ terminate? | B | math_Number Theory | mathematics | ||
math_206 | math_mc | Topsoil costs $\$6$ per cubic foot. What is the cost, in dollars, of 5 cubic yards of topsoil? | C | math_Algebra | mathematics | ||
allenai/sciq_10921 | allenai/sciq | Mixtures that have the same composition throughout are known as what kinds of mixtures?
A. zygomatic
B. contiguous
C. heterogeneous
D. homogeneous | D. homogeneous | Some mixtures are homogeneous. This means they have the same composition throughout. An example is salt water in the ocean. Ocean water everywhere is about 3.5 percent salt. | high_school_chemistry | chemistry | |
mmlu_aux_train_96417 | mmlu_aux_train | Gravitational force never affects
A. balloons
B. stars
C. sunshine
D. air | C. sunshine | conceptual_physics | physics | ||
aquarat_1658 | deepmind/aqua_rat | For which of the following does y(a)−y(b)=y(a−b) for all values of a and b? | A. y(x)=x^2 B. y(x)=x/2 C. y(x)=x+5 D. y(x)=2x−1 E. y(x)=|x| | B. y(x)=x/2 | To solve this easiest way is just put the value and see that if it equals or not.
with option 1. y(a) = a^2 and y(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. y(a) = a/2 and y(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... | college_mathematics | mathematics |
allenai/sciq_10154 | allenai/sciq | What is a mutation?
A. change in the nucleotide sequence of dna
B. change in the rna sequence of dna
C. change in the swetha sequence of dna
D. change in the distinct sequence of dna | A. change in the nucleotide sequence of dna | 28.7 Patterns of Inheritance There are two aspects to a person’s genetic makeup. Their genotype refers to the genetic makeup of the chromosomes found in all their cells and the alleles that are passed down from their parents. Their phenotype is the expression of that genotype, based on the interaction of the paired all... | college_biology | biology | |
math_2180 | math_mc | The matrix for projecting onto a certain line $\ell,$ which passes through the origin, is given by
\[\renewcommand{\arraystretch}{1.5} \begin{pmatrix} \frac{2}{15} & -\frac{1}{15} & -\frac{1}{3} \\ -\frac{1}{15} & \frac{1}{30} & \frac{1}{6} \\ -\frac{1}{3} & \frac{1}{6} & \frac{5}{6} \end{pmatrix} \renewcommand{\arrays... | B | math_Precalculus | mathematics | ||
mmlu_aux_train_33150 | mmlu_aux_train | For hundreds of years, Japan has been hit, from time to time, by tsunamis , which are caused by earthquakes or underwater volcanoes. The story of the boy Yuuki is the story of such a disaster. Yuuki lived with his family in a seaside village, below a small mountain. One day, as he played on top of the mountain, Yuuki f... | B. On the mountain. | conceptual_physics | physics | ||
mmlu_aux_train_93350 | mmlu_aux_train | The danger posed to fish in an aquarium by an overpopulation of bacteria caused by an algal bloom is most likely a
A. decrease in water temperature.
B. reduction in oxygen levels.
C. decrease in food supply.
D. removal of minerals. | B. reduction in oxygen levels. | high_school_biology | biology | ||
allenai/sciq_1131 | allenai/sciq | What is the term for long carbohydrate molecules of repeated monomer units joined together by glycosidic bonds?
A. fibres
B. template strands
C. polysaccharides
D. hydrocarbons | C. polysaccharides | Polysaccharides are long carbohydrate molecules of repeated monomer units joined together by glycosidic bonds. A polysaccharide may contain anywhere from a few monosaccharides to several thousand monosaccharides. Polysaccharides are also called complex carbohydrates . Polysaccharides have a general formula of C x (H2O)... | high_school_biology | biology | |
aquarat_54629 | deepmind/aqua_rat | Set Q consists of the following five numbers: Q = {7, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75} | A. I only B. III C. IIII D. IIIII E. I, II,III | A. I only | (1) Multiplying all the numbers change Standard Deviation
(2) Adding and subtracting all the numbers with the same number keeps the standard deviation same.
If you observe Set I and III are added versions of Set Q .
Set I: 5 has been added to the Set Q
Set III: Subtract each element from 80 and you would find a number ... | high_school_statistics | mathematics |
math_894 | math_mc | A unit cube is cut twice to form three triangular prisms, two of which are congruent, as shown in Figure 1. The cube is then cut in the same manner along the dashed lines shown in Figure 2. This creates nine pieces. What is the volume of the piece that contains vertex $W$?
[asy]
path a=(0,0)--(10,0)--(10,10)--(0,10)--... | C | math_Geometry | mathematics | ||
aquarat_17176 | deepmind/aqua_rat | A bullet train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going? | A. 23 sec B. 15 sec C. 12 sec D. 11 sec E. 16 sec | C. 12 sec | C
12 sec
Speed of the bullet train relative to man = (59 + 7) kmph
= 66 *5/18 m/sec = 55/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 220 m at (55/3) m / sec
= (220 *3/55) sec = 12 sec | high_school_physics | physics |
math_366 | math_mc | The product of $7d^2-3d+g$ and $3d^2+hd-8$ is $21d^4-44d^3-35d^2+14d-16$. What is $g+h$? | D | math_Algebra | mathematics | ||
allenai/sciq_5170 | allenai/sciq | What is an important level of organization in ecology and the unit of microevolution?
A. organization
B. population
C. macro
D. system | B. population | The population is an important level of organization in ecology. It is also the unit of microevolution. | college_biology | biology | |
mmlu_aux_train_12392 | mmlu_aux_train | A new planet-hunting technique has detected the most earth-like planet yet around a star other than our sun, raising hopes of finding a space rock that might support life, astronomers reported recently. "This is an important discovery to answer the question 'Are we alone?'" said Michael Turner of the National Science... | D. tell people about a new technique that finds the most earth-like planet moving round another star | astronomy | physics | ||
mmlu_aux_train_96877 | mmlu_aux_train | All organism require food to satiate themselves, grow big and strong, and also
A. heal
B. make money
C. have fun
D. cry | A. heal | high_school_biology | biology | ||
NLP4Education_157 | NLP4Education | When constructing a word embedding, negative samples are
A. word - context word combinations that are not occurring in the document collection
B. context words that are removed during the preprocessing of the text
C. words that are more frequent than the target word in the vocabulary
D. pairs of words that co-occ... | A. word - context word combinations that are not occurring in the document collection | machine_learning | computer_science | ||
allenai/sciq_2138 | allenai/sciq | Mass multiplied by velocity equals what force?
A. inertia
B. kinetic energy
C. momentum
D. bounce | C. momentum | - Momentum equals mass multiplied by velocity. It is a vector, direction must be considered. Always define a positive direction and be consistent. | high_school_physics | physics | |
mmlu_aux_train_24262 | mmlu_aux_train | Tens of thousands of smartphone applications are running ads from the overwhelming advertising networks that change smartphone settings and copy people's contact information without permission. Aggressive ad networks can disguise ads as text message notifications , and sometimes change browser settings and bookmarks... | A. They change browser settings and bookmarks. | computer_security | computer_science | ||
mmlu_aux_train_18934 | mmlu_aux_train | The united States has about 475,000 school buses -- all painted yellow. Each day they carry more than 25,000,000 children, half of all schoolchildren in the country. But these buses, on average, use four liters of diesel fuel to travel less than sixteen kilometers. When the school year began last fall, diesel average... | A. High fuel prices' influences on school buses. | high_school_statistics | mathematics | ||
allenai/sciq_4522 | allenai/sciq | What is the study of structure, properties, and interactions of matter?
A. biology
B. petrology
C. chemistry
D. geology | C. chemistry | Chemistry is the study of the structure, properties, and interactions of matter. Important concepts in chemistry include physical changes, such as water freezing, and chemical reactions, such as fireworks exploding. Chemistry concepts can answer all the questions on the left page of the notebook in Figure below . Do yo... | high_school_chemistry | chemistry | |
mmlu_aux_train_99465 | mmlu_aux_train | All of the following contain chloroplasts but this
A. rose bushes
B. sea anemones
C. seaweed
D. algae | B. sea anemones | high_school_biology | biology | ||
allenai/sciq_6269 | allenai/sciq | Scientists think the solar system formed from a big cloud of gas and dust called what?
A. supernova
B. Oort cloud
C. comet
D. nebula | D. nebula | Scientists think the solar system formed from a big cloud of gas and dust, called a nebula . This is the solar nebula hypothesis. The nebula was made mostly of hydrogen and helium. There were heavier elements too. Gravity caused the nebula to contract ( Figure below ). | astronomy | physics | |
mmlu_aux_train_93633 | mmlu_aux_train | Which action involving a pulley system requires the least amount of force?
A. using several pulleys together instead of a single pulley
B. using a fixed pulley instead of a moveable pulley
C. pulling a long rope instead of a short rope
D. pulling a rope up instead of down | A. using several pulleys together instead of a single pulley | conceptual_physics | physics | ||
mmlu_aux_train_95674 | mmlu_aux_train | An electrical conductor is needed to
A. plunge a butter knife thru bread
B. bake a red velvet cake
C. power a two wheel bicycle
D. run a swing set | B. bake a red velvet cake | electrical_engineering | engineering | ||
math_1598 | math_mc | Billy and Bobbi each selected a positive integer less than 200. Billy's number is a multiple of 18, and Bobbi's number is a multiple of 24. What is the probability that they selected the same number? Express your answer as a common fraction. | A | math_Number Theory | mathematics | ||
math_96 | math_mc | Simplify: $\frac{2^{n+4} - 2(2^n)}{2(2^{n+3})}$. Express your answer as a common fraction. | D | math_Algebra | mathematics | ||
aquarat_61942 | deepmind/aqua_rat | Suppose son name is 120,his brother name is 150 and his mother name is 210.find out his father's name??? | A. 190 B. 210 C. 230 D. 240 E. 250 | D. 240 | since difference between all name is =30
so father's name will be 210+30=240.
ANSWER:D | formal_logic | mathematics |
pythonio_280 | pythonio-mc | Program:
def increment_numerics(test_list, K):
res = [str(int(ele) + K) if ele.isdigit() else ele for ele in test_list]
return res
Input:
increment_numerics(["Dart", "356", "is", "88", "169", "Super", "6"] , 12)
Output: | C | code | computer_science | ||
aquarat_37779 | deepmind/aqua_rat | If n is an integer, f(n) = f(n-1) - n and f(4)=12. What is the value of f(6)? | A. 1 B. 0 C. -1 D. 2 E. 4 | A. 1 | Since f(n)=f(n-1)-n then: f(6)=f(5)-6 and f(5)=f(4)-5.
As given that f(4)=12 then f(5)=12-5=7 --> substitute the value of f(5) back into the first equation: f(6)=f(5)-6=7-6=1.
Answer: A.
Questions on funtions to practice: | college_mathematics | mathematics |
aquarat_26557 | deepmind/aqua_rat | Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam? | A. 20 B. 25 C. 30 D. 35 E. 50 | E. 50 | Let's say there are 100 students.
Students who studied <10 hrs = 75% = 75
So students who studied =>10hrs = 25
Given: 60% of the students who studied less than 10 hours a week feel unprepared.
So 40% of 75 (=30) feel prepared
Given: 80% of students who studied 10 hours or more each week feel prepared.
So 80% of 25 (= 2... | high_school_statistics | mathematics |
aquarat_78289 | deepmind/aqua_rat | Which of the following functions does not intersect with E = 3x^2 + 2x + 1 | A. E = 3x^2 + 3x + 1 B. E = 2x^2 + 3x + 1 C. E = 3x^2 + 2x + 3 D. E = 4x^2 + 2x - 3 E. E = x^2 + 2x + 3 | C. E = 3x^2 + 2x + 3 | Let’s find the actual intersecting point of given function and each choice E.
A. 3x^2 + 2x + 1 = 3x^2 + 3x + 1 --> x=0
B. 3x^2 + 2x + 1 = 2x^2 + 3x + 1 --> x^2 – x =0 --> x=0 or 1
C. 3x^2 + 2x + 1 = 3x^2 + 2x + 3 --> 1=3(X) --> they don’t have any intersect.
D. 3x^2 + 2x + 1 = 4x^2 + 2x - 3 --> x^2 –4=0 --> x= 2 or -2
... | college_mathematics | mathematics |
NLP4Education_455 | NLP4Education | Which of the following is an acceptable commitment scheme, i.e., one that verifies the hiding and binding property (for a well chosen primitive and suitable $x$ and $r$):
A. $Commit(x; r) = Enc_r(x)$, where $Enc_r$ is a symmetric encryption scheme with key $r$.
B. $Commit(x; r) = H(x)$, where $H$ is a hash function.
C.... | D. $Commit(x; r) = H(r \| x)$, where $H$ is a hash function and $\|$ denotes the concatenation. | computer_security | computer_science | ||
math_1830 | math_mc | Express as a common fraction: $(0.\overline{09})(0.\overline{7})$. | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_60997 | mmlu_aux_train | "Ten pence for a view over the bay,"said the old man with the telescope. "Lovely clear morning, have a look at the old lighthouse and the remains of the great shipwreck of 1935." Ten pence was robbery, but the view was certainly magnificent. Cliffs stretched into the distance, shining waves beaten severely by the w... | D. windy and bright | high_school_computer_science | computer_science | ||
allenai/sciq_6489 | allenai/sciq | Nearly all earthquakes occur where?
A. plate boundaries
B. plate centers
C. in large cities
D. in Asia | A. plate boundaries | Nearly all earthquakes occur at plate boundaries, and all types of plate boundaries have earthquakes. | earth_science | earth_science | |
allenai/sciq_3847 | allenai/sciq | In winter, water does what, becoming solid and causing hoses to rupture and engine blocks to crack?
A. fractures
B. crystallizes
C. freeze
D. shrinks | C. freeze | In the winter, the temperature often gets well below the freezing point of water. This condition can create problem in car radiators. If the water freezes, water hoses will break, the engine block can crack, and significant damage can be done to the car. | high_school_physics | physics | |
aquarat_47300 | deepmind/aqua_rat | Tn = 2Tn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If T5 = Q4 and T7 = 316, what is the first value of n for which Qn is an integer? | A. 1 B. 2 C. 3 D. 4 E. 5 | C. 3 | Assuming I have understood the symbols used correctly answer is C- 3
T7 = 2S6 +4 = 316
T6 = 312/2 = 156 = 2T5 + 4
T5 = 152/2 = 76 = Q4
Q4 = 4Q3 + 8 = 76
Q3 = 68/4 = 17
Q3 = 4Q2 + 8 = 17
Q2 = 9/4 = 2.25
Q2 = 4Q1 + 8
Q1 will not be integer | college_mathematics | mathematics |
mmlu_aux_train_78834 | mmlu_aux_train | Computers are very popular with students now. It's very easy for them to surf the Internet .Most of them go to the Internet bar and spend more than two hours there. They can do their homework,get some information for their study,download music,and send emails on the computer. But some of them spend too much time playin... | D. The computer. | high_school_computer_science | computer_science | ||
mmlu_aux_train_1281 | mmlu_aux_train | Visible light passes through glass. Other types of electromagnetic radiation are able to pass through other materials in a similar way. Which of the following are used in medical technology because they can pass through some parts of the human body?
A. x-rays
B. infrared waves
C. microwaves
D. ultraviolet rays | A. x-rays | college_physics | physics | ||
mmlu_aux_train_24858 | mmlu_aux_train | Earthquakes are the shaking, rolling or sudden shock of the earth's surface. Earthquakes happen along "fault lines" in the earth's crust. Earthquakes can be felt over large areas although they usually last less than one minute. Earthquakes cannot be predicted ---- although scientists are working on it! Most of the time... | B. Earthquakesusually can be felt because they can last for a long time. | conceptual_physics | physics | ||
math_758 | math_mc | A circle with center $O$ has radius $8$ units and circle $P$ has radius $2$ units. The circles are externally tangent to each other at point $Q$. Segment $TS$ is the common external tangent to circle $O$ and circle $P$ at points $T$ and $S$, respectively. What is the length of segment $OS$? Express your answer in s... | D | math_Geometry | mathematics | ||
mmlu_aux_train_54611 | mmlu_aux_train | Many students attend Miami University for its zoology program, hoping to become a doctor someday, but Joseph Frame has come for a different reason -- to become a vet. "Ever since I was a little boy, I've been interested in animals," Frame said, "but when I grow up, I realized that I didn't want to just take care of dog... | C. To gain some experience of being a vet. | high_school_biology | biology | ||
pythonio_553 | pythonio-mc | Program:
def min_k(test_list, K):
res = sorted(test_list, key = lambda x: x[1])[:K]
return (res)
Input:
min_k([('Manjeet', 10), ('Akshat', 4), ('Akash', 2), ('Nikhil', 8)], 2)
Output: | A | code | computer_science | ||
mmlu_aux_train_17096 | mmlu_aux_train | Global Positioning Systems are now a part of everyday driving in many countries. These satellite-based systems provide turn-by-turn directions to help people get to where they want to go. But, they can also cause a lot of problems, send you to the wrong place or leave you completely lost. Many times, the driver is to b... | D. Drivers, GPS systems and passengers should unite to improve GPS systems. | computer_security | computer_science | ||
mmlu_aux_train_39471 | mmlu_aux_train | The Internet has got into all the fields of our life. We can study and work on it. We can find a job on it. We can communicate on it. We can treat friends on it. We can buy and sell on it. We can do almost everything on the Internet, and almost anywhere at any time. However, although the Internet provides services for ... | B. give our friends' information to others | computer_security | computer_science | ||
math_958 | math_mc | Let $\mathcal{R}$ be the region consisting of the set of points in the coordinate plane that satisfy both $|8 - x| + y \le 10$ and $3y - x \ge 15$. When $\mathcal{R}$ is revolved around the line whose equation is $3y - x = 15$, the volume of the resulting solid is $\frac {m\pi}{n\sqrt {p}}$, where $m$, $n$, and $p$ are... | C | math_Geometry | mathematics | ||
math_342 | math_mc | Let $f(x)=x^2-7x+18$ and let $g(f(x))=2x+3$. What is the sum of all possible values of $g(8)$? | A | math_Algebra | mathematics | ||
mmlu_aux_train_47086 | mmlu_aux_train | International Robotics Forum Tokyo Big Sight,Tokyo, Japan, December 4-5 The Robotics Society of Japan (RSJ), to provide opportunities for young robot lovers to learn more about industrial and service robots, is going to hold the International Robotics Forum that will cooperate with this year's International Robot Exh... | B. Senior high school students worldwide. | high_school_computer_science | computer_science | ||
mmlu_aux_train_69105 | mmlu_aux_train | In less than two months, Junior 3 students around the country will take the senior high school entrance exam. They are studying hard for this big challenge. Do they have time to do something in memory of their middle school years? Many do. Leng Jingze, 15, from Tianjin said that in her class students are already writ... | D. all above | high_school_computer_science | computer_science | ||
mmlu_aux_train_77993 | mmlu_aux_train | "Life is speeding up . Everyone is getting unwell." This may sound like something someone would say today. But in fact, an unknown person wrote it. Inventions can change our lives. But have all these things really improved our lives? Imagine this. You're doing your homework on the computer. Your mobile phone rings and ... | A. tell us a truth about our lives | high_school_computer_science | computer_science | ||
NLP4Education_514 | NLP4Education | One of the following ciphers is a \emph{block} cipher. Which one?
A. RC4
B. MD5
C. AES
D. A5/1 | C. AES | computer_security | computer_science | ||
allenai/sciq_9637 | allenai/sciq | Although it is the easiest to observe, what property is not ideal as a sole way to identify minerals?
A. temperature
B. density
C. color
D. composition | C. color | Color is probably the easiest property to observe. Unfortunately, you can rarely identify a mineral only by its color. Sometimes, different minerals are the same color. For example, you might find a mineral that is a golden color and think it is gold. But it might actually be pyrite, or “fool's gold,” which is made of ... | college_geology | earth_science | |
aquarat_16736 | deepmind/aqua_rat | 9.6 , 9.8 , 9.9 , 9.9 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.255 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean? | A. 90% B. 75% C. 80% D. 85% E. 70% | B. 75% | Within 1 standard deviation of the mean- means in the range {mean-1*sd; mean+1*sd} = {10-1*0.255; 10+0.255} = {9.745; 10.255}.
From the 8 listed numbers, 6 are within this range so 6/8=75%.
Answer: B. | high_school_statistics | mathematics |
mmlu_aux_train_59587 | mmlu_aux_train | Worms,antis,and flowers live in soil.Fish,crabs,and seaweeds live in oceans.Birds,insects,and moss live in trees.soil,oceans,and trees are habitatsplaces where animals and plants live .Besides offering food and shelter, habitats allow for growth and reproduction. Humans, however,have destroyed many habitats.We chan... | C. habitat protection | high_school_biology | biology | ||
pythonio_379 | 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([5,4,3,2,1])
Output: | C | code | computer_science | ||
mmlu_aux_train_60858 | mmlu_aux_train | Hanukkah is an eight-day winter holiday, which celebrates the successful struggle of the Jews against King Antiochus IV Epiphanes of Syria. There are many traditions to celebrate the day, such as lighting the menorah ,frying potato pancakes and spinning the dreidel . One night in the 1990s, we tidied up wrapping pape... | C. She had some of her fur burnt. | high_school_biology | biology | ||
pythonio_331 | pythonio-mc | Program:
def reverse_Array_Upto_K(input, k):
return (input[k-1::-1] + input[k:])
Input:
reverse_Array_Upto_K([9, 8, 7, 6, 5],3)
Output: | A | code | computer_science | ||
aquarat_40126 | deepmind/aqua_rat | The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 5 unit of s... | A. -35.6 degrees Celsius B. -20.0 degrees Celsius C. -30.4 degrees Celsius D. -27.8 degrees Celsius E. -25.2 degrees Celsius | B. -20.0 degrees Celsius | Let us suppose mean = M and SD = d.
So, we are given M - 2d = -38.2
and M + 4d = -22.6
solving both the equations, we will get M = -33 an d = 2.6
So, we need to find out M + 5d = -33 +5* 2.6 = -20. Hence, B | high_school_statistics | mathematics |
math_1889 | math_mc | The length of a rectangle is increased by $25\%$, but the width of the rectangle is decreased to keep the area of the rectangle unchanged. By what percent was the rectangle's width decreased? | C | math_Prealgebra | mathematics | ||
aquarat_29755 | deepmind/aqua_rat | There is a vertical stack of books marked 1, 2, and 3 on Table-A, with 1 at the bottom and 3 on top. These are to be placed vertically on Table-B with 1 at the bottom and 2 on the top, by making a series of moves from one table to the other. During a move, the topmost book, or the topmost two books, or all the three, c... | A. One B. Two C. Three D. Four E. None | D. Four | Explanation :
1:2-3 moved to B
2:3 moved to A,
3:2 moved to A,
4: whole series shifted to B.
Hence, minimum number of moves is 4 .
Answer : D | formal_logic | mathematics |
pythonio_199 | pythonio-mc | Program:
def big_diff(nums):
diff= max(nums)-min(nums)
return diff
Input:
big_diff([4,5,12])
Output: | C | code | computer_science | ||
mmlu_aux_train_94952 | mmlu_aux_train | What do rotating vanes on an electric fan do to air?
A. dampen
B. circulate
C. cool
D. warm | B. circulate | electrical_engineering | engineering | ||
mmlu_aux_train_15310 | mmlu_aux_train | The most complex object known to humanity is the human brain -- and not only is it complex, but it is one of the few natural phenomena that science has no consciousness of. To try to replicate something that is so poorly understood may therefore seem like pride. But you have to start somewhere, and International Busi... | D. contains a large number of nerve cells | college_computer_science | computer_science | ||
mmlu_aux_train_99213 | mmlu_aux_train | Plants expel a gas that
A. is poisonous to humans
B. is used to make balloons rise into the air
C. humans exhale as well
D. our circulatory system spreads to our body from our lungs | D. our circulatory system spreads to our body from our lungs | high_school_biology | biology | ||
allenai/sciq_5404 | allenai/sciq | Unlike nuclear fission, which involves dangerous radioisotopes, nuclear fusion involves what two harmless elements?
A. magnesium and helium
B. hydrogen and oxygen
C. hydrogen and carbon
D. hydrogen and helium | D. hydrogen and helium | The use of nuclear fusion for energy has several pros. Unlike nuclear fission, which involves dangerous radioisotopes, nuclear fusion involves hydrogen and helium. These elements are harmless. Hydrogen is also very plentiful. There is a huge amount of hydrogen in ocean water. The hydrogen in just a gallon of water coul... | college_physics | physics | |
allenai/sciq_9671 | allenai/sciq | What term means a representation of an object, system, or process?
A. model
B. icon
C. pattern
D. presentation | A. model | A model is a representation of an object, system, or process. For example, a road map is a representation of an actual system of roads on the ground. Models are very useful in science. They provide a way to investigate things that are too small, large, complex, or distant to investigate directly. To be useful, a model ... | college_science | earth_science | |
NLP4Education_656 | NLP4Education | In plain ElGamal Encryption scheme \ldots
A. only a confidential channel is needed.
B. only an authenticated channel is needed.
C. only an integer channel is needed.
D. only an authenticated and integer channel is needed. | D. only an authenticated and integer channel is needed. | computer_security | computer_science | ||
mmlu_aux_train_94059 | mmlu_aux_train | A student is designing a model of the solar system and writing a report. She is trying to be as accurate as possible. Which statement should she include in her report?
A. The distance between the Sun and Earth is measured in light years.
B. Jupiter and Uranus are considered to be terrestrial planets.
C. The asteroid b... | D. The orbit of Mars is similar to the orbit of Saturn. | astronomy | physics | ||
math_733 | math_mc | Given that $O$ is a regular octahedron, that $C$ is the cube whose vertices are the centers of the faces of $O,$ and that the ratio of the volume of $O$ to that of $C$ is $\frac mn,$ where $m$ and $n$ are relatively prime integers, find $m+n.$
| C | math_Geometry | mathematics | ||
math_1274 | math_mc | The circles $C_1$ and $C_2$ are defined by the equations $x^2 + y^2 = 1$ and $(x - 2)^2 + y^2 = 16,$ respectively. Find the locus of the centers $(a,b)$ of all circles externally tangent to $C_1$ and internally tangent to $C_2.$ Enter your answer in the form
\[Pa^2 + Qb^2 + Ra + Sb + T = 0,\]where all the coefficient... | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_95157 | mmlu_aux_train | If two hawks find a dead fox, they will
A. eat
B. battle
C. starve
D. fly | B. battle | high_school_biology | biology | ||
NLP4Education_210 | NLP4Education | We consider a classification problem on linearly separable data. Our dataset had an outlier---a point that is very far from the other datapoints in distance (and also far from margins in SVM but still correctly classified by the SVM classifier).
We trained the SVM, logistic regression and 1-nearest-neighbour models on ... | A. $y_n \ww^\top x_n \geq 1 \;\; \text{for all } n \in \{1,\cdots,N\}$ | machine_learning | computer_science | ||
mmlu_aux_train_99582 | mmlu_aux_train | What is the source of energy for life on earth?
A. rivers
B. planets
C. astral star
D. mountains | C. astral star | high_school_biology | biology | ||
pythonio_635 | pythonio-mc | Program:
def return_sum(dict):
sum = 0
for i in dict.values():
sum = sum + i
return sum
Input:
return_sum({'a': 25, 'b':18, 'c':45})
Output: | C | code | computer_science | ||
math_110 | math_mc | What is the range of the function $f(x) = \frac{1}{x^2}$? | B | math_Algebra | mathematics | ||
allenai/sciq_5642 | allenai/sciq | When light meets matter, it may be reflected, transmitted, or what?
A. absorbed
B. diffuse
C. diffracted
D. reflected | A. absorbed | conceptual_physics | physics | ||
mmlu_aux_train_1939 | mmlu_aux_train | Which of these would be the best representation of the particles in a solid material?
A. The football players playing on the field.
B. The planes flying over the football stadium.
C. The spectators sitting in their seats at the football stadium.
D. The spectators arriving at the football stadium and moving to their se... | C. The spectators sitting in their seats at the football stadium. | high_school_physics | physics | ||
math_1746 | math_mc | Given a prime $p$ and an integer $a$, we say that $a$ is a $\textit{primitive root} \pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.
For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and th... | A | math_Number Theory | mathematics | ||
math_1425 | math_mc | Triangle $ABC^{}_{}$ has $AB=9^{}_{}$ and $BC: AC=40: 41^{}_{}$. What's the largest area that this triangle can have? | B | math_Intermediate Algebra | mathematics | ||
aquarat_51798 | deepmind/aqua_rat | For which of the following functions is f(d) = f(−d) for all values of d ? | A. f(x) = x^3 + 3 B. f(x) = −x C. f(x) = 2x + 3 D. f(d) = −d^2 + 2 E. f(x) = 5x − 4 | D. f(d) = −d^2 + 2 | f(d) = f(−d)
The above is a property of an even function .
f(d) = f^(n)
f(d) = f(−d) will hold when n is an even integer .
The only case when d is even is option D
Answer D | college_mathematics | mathematics |
pythonio_57 | pythonio-mc | Program:
def min_length(list1):
min_length = min(len(x) for x in list1 )
min_list = min((x) for x in list1)
return(min_length, min_list)
Input:
min_length([[5], [15,20,25]])
Output: | A | code | computer_science | ||
aquarat_66873 | deepmind/aqua_rat | What is the value of the following series 1/7 + 2/7^2 + 1/7^3 +2/7^4 + 1/7^5 +....... | A. 6/49 B. 8/49 C. 11/49 D. 13/49 E. 9/49 | E. 9/49 | it can be written as
{ 1/7(1 + 1/7^2 + 1/7^4 +....) } + { 2/7^2 (1+ 1/7^2 +7^4 +.....) }
which can b further written as
=(1+ 1/7^2 +7^4 +.....)(1/7 + 2/7^2)
=(1+0.02+0.0004+......)(9/49)
~(1)(9/49)
=9/49
ANSWER:E | college_mathematics | mathematics |
math_1815 | math_mc | Given that $x$ is a multiple of $23478$, what is the greatest common divisor of $f(x)=(2x+3)(7x+2)(13x+7)(x+13)$ and $x$? | C | math_Number Theory | mathematics | ||
allenai/sciq_6819 | allenai/sciq | Do metals tend to gain electrons or lose electrons in chemical reactions?
A. gain electrons
B. lose electrons
C. develop electrons
D. same number of electrons | B. lose electrons | Metallic character refers to the level of reactivity of a metal. Metals tend to lose electrons in chemical reactions, as indicated by their low ionization energies. Within a compound, metal atoms have relatively low attraction for electrons, as indicated by their low electronegativities. By following the trend summary ... | high_school_chemistry | chemistry | |
aquarat_81030 | deepmind/aqua_rat | If f(x) = 1 - x if x > 0
= 1/(1 - x) if x≤≤0. | A. 1102 B. 2767 C. 2667 D. 1998 E. 1122 | A. 1102 | Let x≤≤0
f(x) = 11−x11−x
f(f(x)) = 1 - 11−x11−x (As 11−x11−x x≥0x≥0
= −x1−x−x1−x (Observe −x1−x−x1−x is Positive for x is negitive)
f3(x)f3(x) = 1−−x1−x=1−x−(−x)1−x=11−x1−−x1−x=1−x−(−x)1−x=11−x
So f1(x)=f3(x)=f5(x)=.....f101(x)f1(x)=f3(x)=f5(x)=.....f101(x)
f101(x)=f1(x)=11−x=11−(−101)=1102
Answer:A | college_mathematics | mathematics |
aquarat_26099 | deepmind/aqua_rat | What will be the value of a+b , if |ab|=1 and a=b/a? | A. (1-b)/a B. (1+a)/b C. 1 D. a/b E. (1+b)/a | E. (1+b)/a | Option E is answer.
a+b=(b/a)+b(a=b/a).
=(b+ab)/a
=(1+b)/a(ab=1) | college_mathematics | mathematics |
NLP4Education_39 | NLP4Education | Select the statements that are true. A penalty will be applied to any incorrect answers selected.
A. Information retrieval systems always represent documents and queries in the same way.
B. The dimensionality of the vector space in the vector space model does not depend on the size of the indexing vocabulary.
C. Use of... | D. The vector space model represents documents as vectors derived from the distribution of indexing terms in the document. | college_computer_science | computer_science | ||
allenai/sciq_8332 | allenai/sciq | What term describes the application of knowledge to real-world problems and is practiced by engineers?
A. science
B. mechanisms
C. technology
D. invention | C. technology | Technology is the application of knowledge to real-world problems. Engineers are professionals in technology. | engineering | engineering | |
mmlu_aux_train_57416 | mmlu_aux_train | About fifty years ago, when television first came out, people thought that radio was no longer useful. Television has both sounds and images . It is much more real and interesting to watch television than to listen to the radio. However, fifty years later radio is still very popular and it will be here for a long time.... | B. Radio. | high_school_computer_science | computer_science | ||
mmlu_aux_train_51976 | mmlu_aux_train | It is amazing how many of the things in science fiction and movies have become reality. For instance, in the movie Star Trek, the workers could go to a replicator and order food, drinks or anything they could program into the computer. Before long, the item would appear. This is possible today, in a way, with technol... | A. It is not too expensive. | college_computer_science | computer_science | ||
mmlu_aux_train_96082 | mmlu_aux_train | Flowers start die when
A. They are pulled from the ground
B. They are sung too
C. They are given water
D. They have lots of sunlight | A. They are pulled from the ground | high_school_biology | biology | ||
NLP4Education_579 | NLP4Education | Pick the \emph{false} statement.
A. A ring is always commutative: \( ab = ba \)
B. A ring is always associative: \( (ab)c = a(bc) \)
C. A ring is always distributive: \( a(b+c) = ab + ac,\, (a+b)c = ac + bc \)
D. A ring is always Abelian with respect to addition: \( a + b = b + a \) | A. A ring is always commutative: \( ab = ba \) | abstract_algebra | mathematics |
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