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
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|---|---|---|---|---|---|---|---|
aquarat_2020 | deepmind/aqua_rat | In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company? | A. 43.0 B. 45.5 C. 46.0 D. 49.0 E. 50.0 | A. 43.0 | In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=A | high_school_statistics | mathematics |
allenai/sciq_7418 | allenai/sciq | The core of a star collapses during what event, forming a neutron star?
A. gravitational
B. blast
C. spark
D. supernova | D. supernova | The average particle energy needed to observe 19 GeV . (a) What unification of forces is estimated to be 10 is the rest mass in kilograms of a particle that has a rest mass 19 of 10 GeV/c 2 ? (b) How many times the mass of a hydrogen atom is this? 14. The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a)... | astronomy | physics | |
mmlu_aux_train_94537 | mmlu_aux_train | Which of the following is the most important safety practice when using a rock hammer on a geology field trip?
A. wear gloves while breaking rocks
B. wear goggles while breaking rocks
C. have a bucket of sand in case of sparks
D. have a clean eye-wash station available | B. wear goggles while breaking rocks | college_medicine | biology | ||
allenai/sciq_7132 | allenai/sciq | What type of tissue is made up of cells that have the unique ability to contract?
A. connective tissue
B. nervous tissue
C. muscle tissue
D. epithelial tissue | C. muscle tissue | Muscle tissue is made up of cells that have the unique ability to contract, or become shorter. Muscles attached to bones enable the body to move. | high_school_biology | biology | |
math_1365 | math_mc | Let $f(x) = \frac{3}{9^x + 3}.$ Find
\[f \left( \frac{1}{1001} \right) + f \left( \frac{2}{1001} \right) + f \left( \frac{3}{1001} \right) + \dots + f \left( \frac{1000}{1001} \right).\] | A | math_Intermediate Algebra | mathematics | ||
pythonio_464 | pythonio-mc | Program:
from collections import defaultdict
def get_unique(test_list):
res = defaultdict(list)
for sub in test_list:
res[sub[1]].append(sub[0])
res = dict(res)
res_dict = dict()
for key in res:
res_dict[key] = len(list(set(res[key])))
return (str(res_dict))
Input:
get_unique([(3, 4), (1,... | B | code | computer_science | ||
pythonio_241 | pythonio-mc | Program:
def bell_Number(n):
bell = [[0 for i in range(n+1)] for j in range(n+1)]
bell[0][0] = 1
for i in range(1, n+1):
bell[i][0] = bell[i-1][i-1]
for j in range(1, i+1):
bell[i][j] = bell[i-1][j-1] + bell[i][j-1]
return bell[n][0]
Input:
bell_Number(3)
Output: | A | code | computer_science | ||
aquarat_63177 | deepmind/aqua_rat | What would be the local minimum for the function represented as f(x,y) = x2 +ay+y2 -3x ? | A. (1,1) B. (2,-1) C. (-1,1) D. (2,2) E. (3,2) | B. (2,-1) | f(x,y) = x2 + ay + y2 - 3x
= 4 - a + 1 - 6
= -a-1
So the above value will be the minimum if u check for all other options also. therefore, the answer is (2,-1)
ANSWER:B | college_mathematics | mathematics |
mmlu_aux_train_96871 | mmlu_aux_train | A boy puts some vinegar in a glass of some bleach and finds
A. both are frozen
B. bother taste good
C. both are dry
D. both are adjusted | D. both are adjusted | high_school_chemistry | chemistry | ||
mmlu_aux_train_93378 | mmlu_aux_train | Sound waves can pass through all of these except
A. air.
B. steel.
C. water.
D. a vacuum. | D. a vacuum. | conceptual_physics | physics | ||
pythonio_110 | pythonio-mc | Program:
def extract_column(list1, n):
result = [i.pop(n) for i in list1]
return result
Input:
extract_column([[1, 2, 3], [2, 4, 5], [1, 1, 1]],0)
Output: | D | code | computer_science | ||
mmlu_aux_train_21092 | mmlu_aux_train | Astronauts aboard the space station celebrated a space first on Wednesday by drinking water that had been recycled from their urine , sweat and water got from air. They said "cheers," clicked drinking bags and toasted NASA workers on the ground. The urine recycling system is needed for astronaut stations on the moon an... | C. it can help meet the need for more water after the crew is expanded | astronomy | physics | ||
mmlu_aux_train_97669 | mmlu_aux_train | If peas and carrots are planted alternately,
A. fields are useless
B. dirt is refreshed
C. sand is dried
D. water is poisoned | B. dirt is refreshed | high_school_biology | biology | ||
allenai/sciq_9270 | allenai/sciq | The rate of evaporation depends only on the surface area of the liquid and is essentially constant. the rate of condensation depends on the number of molecules in the vapor phase and increases steadily until it equals the rate of this?
A. condensation
B. absorption
C. evaporation
D. accumulation | C. evaporation | The rate of evaporation depends only on the surface area of the liquid and is essentially constant. The rate of condensation depends on the number of molecules in the vapor phase and increases steadily until it equals the rate of evaporation. | college_chemistry | chemistry | |
allenai/sciq_1009 | allenai/sciq | What happens to charges whenever they are accelerated?
A. they radiate
B. they fuse
C. they die
D. they darken | A. they radiate | Receiving Electromagnetic Waves Electromagnetic waves carry energy away from their source, similar to a sound wave carrying energy away from a standing wave on a guitar string. An antenna for receiving EM signals works in reverse. And like antennas that produce EM waves, receiver antennas are specially designed to reso... | college_physics | physics | |
pythonio_705 | pythonio-mc | Program:
def cube_Sum(n):
sum = 0
for i in range(0,n) :
sum += (2*i+1)*(2*i+1)*(2*i+1)
return sum
Input:
cube_Sum(3)
Output: | C | code | computer_science | ||
mmlu_aux_train_22226 | mmlu_aux_train | Since the beginning of history, man has been attracted by the idea of living forever, of winning the fight against death and disease. So far, this has only remained a dream. Many people have wondered whether it would be possible to find a way to preserve human bodies, and what would be the best way. It has long been kn... | B. The possibility of preserving human bodies by freezing. | college_biology | biology | ||
mmlu_aux_train_56818 | mmlu_aux_train | For thousands of years, people have seen things they didn't understand in the sky. The United States Air Force first used the words "Unidentified Flying Object" to describe them. Today everyone uses the term UFO. When people see a UFO, it is usually no more than a weather balloon or an airplane. But the Center for UFO ... | A. The United States Air force. | astronomy | physics | ||
mmlu_aux_train_39142 | mmlu_aux_train | SEE a cell phone cover that you like on Taobao? Forget about placing an order, paying the bill online and waiting for days for it to be delivered to you. In the near future, you'll be able to get it in minutes just by hitting "print" on your computer. You might find it hard to believe that you could actually "print" an... | C. change the way we make many products | college_computer_science | computer_science | ||
math_1076 | math_mc | The coordinates of the vertices of isosceles trapezoid $ABCD$ are all integers, with $A=(20,100)$ and $D=(21,107)$. The trapezoid has no horizontal or vertical sides, and $\overline{AB}$ and $\overline{CD}$ are the only parallel sides. The sum of the absolute values of all possible slopes for $\overline{AB}$ is $m/n$, ... | A | math_Geometry | mathematics | ||
allenai/sciq_5950 | allenai/sciq | What forces in liquids are strong enough to keep them from expanding significantly when heated?
A. particles forces
B. intermolecular forces
C. gravitational forces
D. outermolecular forces | B. intermolecular forces | Thermal Expansion The intermolecular forces in liquids are strong enough to keep them from expanding significantly when heated (typically only a few percent over a 100°C temperature range). Thus the volumes of liquids are somewhat fixed. Notice from Table 11.1 "The Density of Water at Various Temperatures" that the den... | high_school_physics | physics | |
math_1672 | math_mc | What is the sum of the tens digit and the units digit in the decimal representation of $9^{2004}$? | D | math_Number Theory | mathematics | ||
aquarat_10179 | deepmind/aqua_rat | A 12% stock yielding 10% is quoted at : | A. 83.33 B. 110 C. 112 D. 120 E. 160 | D. 120 | Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 12, money invested = Rs.(100/10X12) = Rs. 120.
∴ Market value of Rs. 100 stock =Rs. 120
Answer D | college_mathematics | mathematics |
math_621 | math_mc | We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls? | A | math_Counting & Probability | mathematics | ||
allenai/sciq_9893 | allenai/sciq | Sand dunes migrate when sand is blown up a slope and this force pulls it down the other side?
A. gravity
B. air pressure
C. earthquakes
D. spin | A. gravity | Sand is blown up a slope. Gravity pulls it down the other side. This is how dunes migrate. | conceptual_physics | physics | |
pythonio_769 | pythonio-mc | Program:
def ntimes_list(nums,n):
result = map(lambda x:n*x, nums)
return list(result)
Input:
ntimes_list([1, 2, 3, 4, 5, 6, 7],10)
Output: | D | code | computer_science | ||
math_2004 | math_mc | Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40\%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10\%$ of what it was on June 1, 2004? | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_61285 | mmlu_aux_train | Today is my first day at Merchiston Castle School,and I was really nervous about it, because I have never visited the school before and didn't take any summer course. Despite my anxiety,I soon relaxed once I arrived; the staff were so nice that I felt my spoken English was better than it actually was! As soon as I walk... | D. Because he was shy. | high_school_computer_science | computer_science | ||
mmlu_aux_train_18751 | mmlu_aux_train | The defeat of Lee Sedol, the world's strongest Go player, by a Google artificial intelligence (AI) program, looks like another milestone towards a world where computers can do almost anything a human can. It is not. There are uncountable things that only a human can do, and that no computer seems close to. The proble... | C. the power of computers is growing at a frightening rate | machine_learning | computer_science | ||
pythonio_924 | pythonio-mc | Program:
def subset(ar, n):
res = 0
ar.sort()
for i in range(0, n) :
count = 1
for i in range(n - 1):
if ar[i] == ar[i + 1]:
count+=1
else:
break
res = max(res, count)
return res
Input:
subset([1, 2, 3 ]... | C | code | computer_science | ||
math_1095 | math_mc | In $\triangle XYZ$, we have $\angle X = 90^\circ$ and $\tan Z = 7$. If $YZ = 100$, then what is $XY$? | D | math_Geometry | mathematics | ||
allenai/sciq_9410 | allenai/sciq | What are daily changes in the level of ocean water called?
A. floods
B. waves
C. tides
D. currents | C. tides | Tides are daily changes in the level of ocean water. They are caused mainly by the pull of the Moon’s gravity on Earth and its oceans. The Sun’s gravity also influences tides. | college_earth_science | earth_science | |
NLP4Education_564 | NLP4Education | Let $E$ be an elliptic curve. Solving which of the following problems would help you to break Elliptic Curve Diffie-Hellman (ECDH) over $E$?
A. Let $P, R \in E$. Given $P$ and $P + R$, compute $R$.
B. Let $P, Q \in E$. Given $P$ and $Q$, compute the product between $P$ and $Q$, i.e., $P \times Q$.
C. Let $P \in E$ and ... | C. Let $P \in E$ and $\ell \in \mathbb{N}$. Given $P$ and $\ell P$, compute $\ell$. | computer_security | computer_science | ||
mmlu_aux_train_93195 | mmlu_aux_train | Which of these describes a property of all matter?
A. All matter gives off light.
B. All matter is attracted by magnets.
C. All matter is made of atoms.
D. All matter dissolves in water. | C. All matter is made of atoms. | high_school_physics | physics | ||
pythonio_878 | pythonio-mc | Program:
import math
def sum_series(number):
total = 0
total = math.pow((number * (number + 1)) /2, 2)
return total
Input:
sum_series(5)
Output: | B | code | computer_science | ||
mmlu_aux_train_63878 | mmlu_aux_train | We're all connected. You can send an e-mail message to a friend, and your friend can pass it on to one of his or her friends, and that friend can do the same, continuing the chain. Eventually, your message could reach just about anyone in the world, and it might take only five to seven e-mails for the message to get th... | A. 5 to 7 | high_school_statistics | mathematics | ||
mmlu_aux_train_96482 | mmlu_aux_train | A boy leaves a circuit in the wall open, then when he goes to turn on the lights
A. it fails
B. it succeeds
C. it shines
D. it works | A. it fails | electrical_engineering | engineering | ||
math_1087 | math_mc | Let $\overline{AB}$ be a diameter of circle $\omega$. Extend $\overline{AB}$ through $A$ to $C$. Point $T$ lies on $\omega$ so that line $CT$ is tangent to $\omega$. Point $P$ is the foot of the perpendicular from $A$ to line $CT$. Suppose $\overline{AB} = 18$, and let $m$ denote the maximum possible length of segment ... | D | math_Geometry | mathematics | ||
allenai/sciq_7121 | allenai/sciq | What eliminates food wastes that remain after digestion takes place?
A. liver
B. small intestine
C. gall bladder
D. large intestine | D. large intestine | The large intestine eliminates food wastes that remain after digestion takes place. | high_school_biology | biology | |
mmlu_aux_train_74698 | mmlu_aux_train | A science book gives facts. Some science books tell us about animals. Some tell us about plants. Some tell us about outer space. This page tells us about animals. Do you know that not only the fish but also some animals live in the sea? For example, the whale is not a fish. It can't breathe in the water. It swims in th... | D. sea animals | high_school_biology | biology | ||
math_197 | math_mc | Let $x$ be a positive integer, and define the integers $n=x^2+2x+17$ and $d=2x+5$. When dividing $n$ by $d$, the quotient is $x$, and the remainder is $7$. Find $x$. | C | math_Algebra | mathematics | ||
math_965 | math_mc | Pyramid $OABCD$ has square base $ABCD,$ congruent edges $\overline{OA}, \overline{OB}, \overline{OC},$ and $\overline{OD},$ and $\angle AOB=45^\circ.$ Let $\theta$ be the measure of the dihedral angle formed by faces $OAB$ and $OBC.$ Given that $\cos \theta=m+\sqrt{n},$ where $m$ and $n$ are integers, find $m+n.$
| D | math_Geometry | mathematics | ||
allenai/sciq_2467 | allenai/sciq | What determines the color of visible light?
A. wavelength density
B. exact wavelength
C. molecular wavelength
D. wavelength speed | B. exact wavelength | Human beings and other primates also have the ability to see in color. We have special cells inside our eyes that can distinguish different wavelengths of visible light. Visible light is light in the range of wavelengths that the human eye can sense. The exact wavelength of visible light determines its color. | college_physics | physics | |
math_1564 | math_mc | How many positive perfect square integers are factors of the product $\left(2^{10}\right)\left(3^{12}\right)\left(5^{15}\right)$? | A | math_Number Theory | mathematics | ||
pythonio_50 | pythonio-mc | Program:
def capitalize_first_last_letters(str1):
str1 = result = str1.title()
result = ""
for word in str1.split():
result += word[:-1] + word[-1].upper() + " "
return result[:-1]
Input:
capitalize_first_last_letters("bigdata")
Output: | D | code | computer_science | ||
math_673 | math_mc | Nine delegates, three each from three different countries, randomly select chairs at a round table that seats nine people. Let the probability that each delegate sits next to at least one delegate from another country be $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
| D | math_Counting & Probability | mathematics | ||
allenai/sciq_2155 | allenai/sciq | What sequence is the primary structure of a protein?
A. proteins acid sequence
B. processed acid sequence
C. amino acid sequence
D. nucleic acid sequence | C. amino acid sequence | The amino acid sequence is the primary structure of a protein. As explained in Figure below , a protein may have up to four levels of structure, from primary to quaternary. The complex structure of a protein allows it to carry out its biological functions. | college_biology | biology | |
allenai/sciq_1351 | allenai/sciq | When thinking of the rate at which two gases mix, it is inverse proportional to the density of what?
A. the container
B. gas
C. matter
D. dioxide | B. gas | The rate at which two gases mix. Inversely proportional to the density of the gas. | college_chemistry | chemistry | |
allenai/sciq_4838 | allenai/sciq | In what unit is heat measured in?
A. joules
B. thermals
C. amperes
D. velocities | A. joules | The heat that is either absorbed or released is measured in joules. The mass is measured in grams. The change in temperature is given by , where is the final temperature and is the initial temperature. | conceptual_physics | physics | |
allenai/sciq_7893 | allenai/sciq | What part of a sample can be represented by the mean, median, and mode?
A. large tendency
B. present tendency
C. outer tendency
D. central tendency | D. central tendency | The central tendency of a sample can be represented by the mean, median, or mode. | high_school_statistics | mathematics | |
allenai/sciq_11438 | allenai/sciq | What is captured by the sticky structure at the top of the style called the stigma?
A. fungi
B. sunlight
C. precipitation
D. pollen | D. pollen | high_school_biology | biology | ||
allenai/sciq_679 | allenai/sciq | What kind of rays can travel thousands of meters through air and can penetrate and damage cells deep inside the body?
A. gamma rays
B. plasma rays
C. cosmic rays
D. x-rays | A. gamma rays | Alpha particles can travel only a few centimeters through air. They can burn the skin but not penetrate it. Beta particles can travel up to a meter through air. They can penetrate and damage skin. Gamma rays can travel thousands of meters through air. They can penetrate and damage cells deep inside the body. | college_physics | physics | |
math_2025 | math_mc | The average of four different positive whole numbers is $4.$ If the difference between the largest and smallest of these numbers is as large as possible, what is the average of the other two numbers? | B | math_Prealgebra | mathematics | ||
math_1733 | math_mc | For how many integer values of $n$ between 1 and 120 inclusive does the decimal representation of $\frac{n}{120}$ terminate? | D | math_Number Theory | mathematics | ||
mmlu_aux_train_98298 | mmlu_aux_train | Splitting and fusing billions of atoms at the same location in space produces
A. darkness
B. frigged rain
C. illumination
D. groceries | C. illumination | college_physics | physics | ||
mmlu_aux_train_26267 | mmlu_aux_train | Everyone talks about the greenhouse effect and how our Earth and its climate are being affected. We can do a science experiment designed by some kids to show this effect and what is happening to the Earth. First prepare the following items: *2 glass containers that need to be the same size and shape *1 gallon plast... | B. chemicals around the Earth | high_school_physics | physics | ||
allenai/sciq_9180 | allenai/sciq | What do seismic waves prove about the inner core?
A. it is hot
B. it is layered
C. it is liquid
D. it is solid | D. it is solid | Seismic waves show that the outer core is liquid. The inner core is solid. | earth_science | earth_science | |
mmlu_aux_train_99114 | mmlu_aux_train | In an auction, how might a seller avoid too much of a loss?
A. buyer beware
B. Auction Block
C. Sealed Bid
D. setting a reserve | D. setting a reserve | college_mathematics | mathematics | ||
NLP4Education_91 | NLP4Education | Which of the following is correct regarding Crowdsourcing?
A. Random spammers always provide correct answers for every question.
B. Crowdsourcing is only suitable for tasks with two answer choices.
C. The output of Majority Decision can sometimes match that of Expectation-Maximization.
D. Honey Pot methods are ineffect... | C. The output of Majority Decision can sometimes match that of Expectation-Maximization. | computer_security | computer_science | ||
aquarat_19761 | deepmind/aqua_rat | Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y. | A. 0.5 B. 1.3 C. 1.6 D. 2.5 E. 0.1 | C. 1.6 | We rewrite the rst equation as
20 = log2 x + log3 x + log4 x
20 =
log x
log 2
+
log x
log 3
+
log x
log 4
20 = log x (log2 10 + log3 10 + log4 10)
Similarly, we obtain that
16 = log y (log4 10 + log9 10 + log16 10)
16 = log y (log2
p
10 + log3
p
10 + log4
p
10)
16 =
1
2
log y (log2 10 + log3 10 + log4 10)
32 = log y (l... | college_mathematics | mathematics |
mmlu_aux_train_95039 | mmlu_aux_train | When wheels are squealing on a blacktop, friction
A. works against motion
B. stops motion
C. removes forward motion
D. makes things rough | A. works against motion | conceptual_physics | physics | ||
aquarat_91177 | deepmind/aqua_rat | If air is called green , green is called blue, blue is called water, sky is called yellow, yellow is called water and water is called water, then what is the color of clear sky ? | A. Blue B. Sky C. Water D. Yellow E. Black | C. Water | Explanation:
The colour of clear sky is 'blue' and as given, 'blue' is called 'water'.
So, the colour of clear sky is 'water'.
Answer: C | formal_logic | mathematics |
mmlu_aux_train_96005 | mmlu_aux_train | What does a seismograph measure?
A. the motion produced by underground collisions
B. the quaking of a man in fear
C. how strong the earth quakes beneath a stampeding herd
D. how strong waves can break plates | A. the motion produced by underground collisions | earth_science | earth_science | ||
allenai/sciq_10375 | allenai/sciq | Conifers are the dominant phylum of gymnosperms, with the most variety of species. most are tall trees that usually bear scale-like or needle-like leaves. the thin shape of the needles and their waxy cuticle limits water loss through this?
A. transportation
B. sedimentation
C. transpiration
D. evaporation | C. transpiration | Conifers Conifers are the dominant phylum of gymnosperms, with the most variety of species. Most are tall trees that usually bear scale-like or needle-like leaves. The thin shape of the needles and their waxy cuticle limits water loss through transpiration. Snow slides easily off needle-shaped leaves, keeping the load ... | high_school_biology | biology | |
NLP4Education_67 | NLP4Education | Consider a linear regression problem with $N$ samples where the input is in $D$-dimensional space, and all output values are $y_{i} \in \{-1,+1\}$. Which of the following statements is correct?
A. Linear regression cannot "work" if $N \gg D$.
B. Linear regression cannot "work" if $N \ll D$.
C. Linear regression always ... | D. Linear regression can be made to work perfectly if the data is linearly separable. | machine_learning | computer_science | ||
mmlu_aux_train_92970 | mmlu_aux_train | Which of these renewable resources results in an increase in pollution when used to produce energy?
A. water
B. wind
C. biomass
D. geothermal | C. biomass | high_school_physics | physics | ||
allenai/sciq_1151 | allenai/sciq | The term "environment of deposition" is useful for understanding the characteristics of what type of rock?
A. limestone
B. glacial
C. sedimentary
D. meteor | C. sedimentary | Sediments are deposited in an environment of deposition. This can be a sand dune, beach, lake, river bend, or a great number of other locations. Scientists can figure out the environment of deposition of a sedimentary rock by looking at the size of sediments and the sedimentary features in the rock. | college_geology | earth_science | |
math_2030 | math_mc | I have three distinct mystery novels, three distinct fantasy novels, and three distinct biographies. I'm going on vacation, and I want to take two books of different genres. How many possible pairs can I choose? | B | math_Prealgebra | mathematics | ||
aquarat_30681 | deepmind/aqua_rat | If m and n are positive integers of K such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? | A. 2m/n + 1 B. 2n/m + 1 C. 2n/(m+1) D. 2m/n E. 2n/m | E. 2n/m | Lets say N=10, M=5
2N=20. so the answer should be 4 (20/5)
lets try to plug in the answers:
A-not an integer
B-not an integer
C-not an integer
D-1 (not the answer)
E-4 - the answer. (the only one).
I would choose E.
Method 2
N=M*A (A is an integer)
So - A=N/M
therefore in 2N A will be 2N/M
Again - Answer is E. | abstract_algebra | mathematics |
mmlu_aux_train_97710 | mmlu_aux_train | When a hurricane glides over a continent it
A. runs for president
B. becomes an earthquake
C. increases in strength
D. decreases in strength | D. decreases in strength | conceptual_physics | physics | ||
allenai/sciq_3838 | allenai/sciq | What is the latin name for mercury?
A. stibium
B. hydrargyrum
C. trichina
D. spirogyra | B. hydrargyrum | In this image, you see small pools of elemental mercury. The Latin name for mercury is hydrargyrum, a compound word meaning “water-silver” (hydr- = water, -argyros = silver), since it is liquid like water but shiny like silver. Mercury is the only pure metal that exists as a liquid at room temperature. | high_school_chemistry | chemistry | |
NLP4Education_104 | NLP4Education | The term frequency of a term is normalized
A. by the maximal frequency of all terms in the document
B. by the maximal frequency of the term in the document collection
C. by the maximal frequency of any term in the vocabulary
D. by the maximal term frequency of any document in the collection | A. by the maximal frequency of all terms in the document | machine_learning | computer_science | ||
math_7 | math_mc | Find the mean of all solutions for $x$ when $x^3 + 3x^2 - 10x = 0$. | C | math_Algebra | mathematics | ||
aquarat_3881 | deepmind/aqua_rat | Submarine M and Submarine N are equipped with sonar devices that can operate within a 4,000 yard range. Submarine M remains in place while Submarine N moves 3,700 yards south from Submarine M. Submarine N then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the followi... | A. I,II only B. II,III only C. II only D. I and III only E. III only | D. I and III only | It's evident if we make a diagram for the Movement of N respect to M.
From its South position to the east position, it has covered the maximum radius for the south direction. Similarly, it's east movement further will also make it out of range.
Thus it can only move north or west or anything in that curve.
Answer : D | conceptual_physics | physics |
allenai/sciq_2395 | allenai/sciq | What is the only planet we know that has plate techtonics?
A. Mars
B. Saturn
C. Jupiter
D. earth | D. earth | The Earth is divided into many plates. These plates move around on the surface. The plates collide or slide past each other. One may even plunge beneath another. Plate motions cause most geological activity. This activity includes earthquakes, volcanoes, and the buildup of mountains. The reason for plate movement is co... | astronomy | physics | |
allenai/sciq_7057 | allenai/sciq | What is the only substance on earth that is stable in all three states?
A. mercury
B. carbon
C. water
D. air | C. water | Water is the only substance on Earth that is stable in all three states. | high_school_chemistry | chemistry | |
math_891 | math_mc | In parallelogram $ABCD$, point $M$ is on $\overline{AB}$ so that $\frac {AM}{AB} = \frac {17}{1000}$ and point $N$ is on $\overline{AD}$ so that $\frac {AN}{AD} = \frac {17}{2009}$. Let $P$ be the point of intersection of $\overline{AC}$ and $\overline{MN}$. Find $\frac {AC}{AP}$.
| C | math_Geometry | mathematics | ||
aquarat_4165 | deepmind/aqua_rat | A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ? | A. 16% B. 32% C. 48% D. 84% E. 92% | D. 84% | D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, E=(68+16)% or (100-16)% of the population is less than m+d.D | high_school_statistics | mathematics |
mmlu_aux_train_76075 | mmlu_aux_train | People cannot reach an agreement on the use of science and technology. For example, will radiation from electronic equipment destroy the environment? Should medical scientists change gene structures to prevent genetic disease or to create "more perfect" human beings? While people are arguing about these and others, tec... | A. technology never stops changing our everyday lives | computer_security | computer_science | ||
allenai/sciq_6891 | allenai/sciq | Which type of lava lavas are less viscous and erupt effusively?
A. Intermediate lava
B. Felsic lava
C. Ultramafic lava
D. mafic | D. mafic | Felsic lavas are more viscous and erupt explosively or do not erupt. Mafic lavas are less viscous and erupt effusively. | college_earth_science | earth_science | |
allenai/sciq_8252 | allenai/sciq | What elements tend to conduct well?
A. metals
B. oils
C. organics
D. gases | A. metals | While many elements differ dramatically in their chemical and physical properties, some elements have similar properties. We can identify sets of elements that exhibit common behaviors. For example, many elements conduct heat and electricity well, whereas others are poor conductors. These properties can be used to sort... | high_school_chemistry | chemistry | |
aquarat_42408 | deepmind/aqua_rat | If z + | z | = 0, which of the following must be true? | A. z > 0 B. z≥0 C. z< 0 D. z≤0 E. z = 0 | D. z≤0 | Manipulate the equations:
z + | z | = 0
|z| = -y
-z > 0 OR -z = 0
This means z could be 0 or z is less than 0.
D. z≤0
E. z=0
Answer: D | college_mathematics | mathematics |
mmlu_aux_train_41491 | mmlu_aux_train | In prefix = st1 /America, drivers' education is part of high school. Every student in his or her second year of high school is required to take a course in drivers' education. However, unlike other courses, it isn't given during the regular school year. Instead, it is a summer course. The course is divided into two par... | C. is offered to all the students of Grade Two in high school | high_school_computer_science | computer_science | ||
mmlu_aux_train_98885 | mmlu_aux_train | What is a source of energy for animals?
A. food charts
B. fire
C. grasshoppers
D. gales | C. grasshoppers | high_school_biology | biology | ||
mmlu_aux_train_40621 | mmlu_aux_train | Fear is an emotion like others such as happiness, anger, hurt, sadness. We need emotions to process information we receive and decide how to respond. Being afraid of fast cars, for example, is something that might protect us from harm. Being afraid of the consequence of a choice may prevent us getting into trouble. Fea... | D. develop children's ability to treat their fear on their own | high_school_biology | biology | ||
aquarat_73935 | deepmind/aqua_rat | For which of the following functions is f(z) = f(−z) for all values of z ? | A. f(x) = x^3 + 3 B. f(x) = −x C. f(x) = 2x + 3 D. f(z) = −z^2 + 2 E. f(x) = 5x − 4 | D. f(z) = −z^2 + 2 | f(z) = f(−z)
The above is a property of an even function .
f(z) = f^(n)
f(z) = f(−z) will hold when n is an even integer .
The only case when z is even is option D
Answer D | college_mathematics | mathematics |
pythonio_686 | pythonio-mc | Program:
from collections import Counter
def second_frequent(input):
dict = Counter(input)
value = sorted(dict.values(), reverse=True)
second_large = value[1]
for (key, val) in dict.items():
if val == second_large:
return (key)
Input:
second_frequent(['cdma','gsm','hspa','gsm','cdma','cdma']... | D | code | computer_science | ||
allenai/sciq_2503 | allenai/sciq | What term decribes the amount of time required for half of the original material to decay in an isotope?
A. life cycle
B. half-life
C. Geiger count
D. radioactive isotope | B. half-life | 11.6 End-of-Chapter Material Chapter Summary To ensure that you understand the material in this chapter, you should review the meanings of the bold terms in the following summary and ask yourself how they relate to the topics in the chapter. Some atoms have unstable nuclei that emit particles and high-energy electromag... | high_school_chemistry | chemistry | |
math_1281 | math_mc | Let $f$ be a function taking the integers to the integers such that
\[f(m + n) + f(mn - 1) = f(m) f(n) + 2\]for all integers $m$ and $n.$
Let $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \times s.$ | C | math_Intermediate Algebra | mathematics | ||
pythonio_707 | pythonio-mc | Program:
def min_Swaps(s1,s2) :
c0 = 0; c1 = 0;
for i in range(len(s1)) :
if (s1[i] == '0' and s2[i] == '1') :
c0 += 1;
elif (s1[i] == '1' and s2[i] == '0') :
c1 += 1;
result = c0 // 2 + c1 // 2;
if (c0 % 2 == 0 and c1 % 2 == 0) :
... | B | code | computer_science | ||
math_65 | math_mc | Calculate $\sqrt{75x} \cdot \sqrt{2x} \cdot \sqrt{14x}$ . Express your answer in simplest radical form in terms of $x$. | C | math_Algebra | mathematics | ||
aquarat_41225 | deepmind/aqua_rat | If a and b are integers and (a*b)^5 = 48y, y could be: | A. 8 B. 16 C. 162 D. 144 E. 100 | C. 162 | Distribute the exponent.
a^5 * b^5 = 48 y
Find the prime factorization of 48. This is 2^4 *3^1.
We need 2^1*3^4 (or some other power of 3 that will give us a multiple of 3^5 as our second term).
3^4*2 = 81*2= 162
The answer is C. | abstract_algebra | mathematics |
pythonio_923 | pythonio-mc | Program:
def subset(ar, n):
res = 0
ar.sort()
for i in range(0, n) :
count = 1
for i in range(n - 1):
if ar[i] == ar[i + 1]:
count+=1
else:
break
res = max(res, count)
return res
Input:
subset([5, 6, 9, ... | A | code | computer_science | ||
NLP4Education_137 | NLP4Education | What is a correct pruning strategy for decision tree induction?
A. Apply Maximum Description Length principle
B. Stop partitioning a node when either positive or negative samples dominate the samples of the other class
C. Remove attributes with the lowest information gain
D. Choose the model that maximizes L(M) + L(M|D... | B. Stop partitioning a node when either positive or negative samples dominate the samples of the other class | machine_learning | computer_science | ||
NLP4Education_675 | NLP4Education | Tick the \textbf{false} assertion. The SEI of the distribution $P$ of support $G$ \ldots
A. is equal to $\# G\cdot\displaystyle\sum_{x\in G}\left(P(x)-\frac{1}{\sharp G}\right)^2$
B. is the advantage of the best distinguisher between $P$ and the uniform distribution.
C. denotes the Squared Euclidean Imbalance.
D. is po... | B. is the advantage of the best distinguisher between $P$ and the uniform distribution. | college_mathematics | mathematics | ||
NLP4Education_597 | NLP4Education | Tick the \textbf{true} assertion. Let $X,Y$ be two random variables over the same probability space. Then,
A. $X$ is always independent from $Y$.
B. $E(XY) = E(X) \times E(Y)$, if $X$ and $Y$ are independent.
C. $\Pr[X = x \text{ or } Y = y ] = \Pr[X = x] + \Pr[Y = y]$.
D. $X+Y$ is undefined for random variables. | B. $E(XY) = E(X) \times E(Y)$, if $X$ and $Y$ are independent. | college_mathematics | mathematics | ||
pythonio_914 | pythonio-mc | Program:
def count_digs(tup):
return sum([len(str(ele)) for ele in tup ])
def sort_list(test_list):
test_list.sort(key = count_digs)
return (str(test_list))
Input:
sort_list([(3, 4, 8), (1, 2), (1234335,), (1345, 234, 334)] )
Output: | B | code | computer_science | ||
mmlu_aux_train_7982 | mmlu_aux_train | Millions of people will be able to track each and every move by friends and family through their mobile phones,thanks to a new feature launched by Google yesterday. The new system named "Latitude" uses a map to show exactly where a loved one is at any time, sometimes discovering their location to a few meters.Worried... | B. tell the parents the locations of their children after school | computer_security | computer_science | ||
NLP4Education_201 | NLP4Education | Consider the following PyTorch code:
class ThreeLayerNet (nn.Module):
def __init__():
super().__init__()
def forward(x):
x = nn.Linear(100, 10)(x)
x = nn.ReLU()(x)
x = nn.Linear(10, 200)(x)
x = nn.ReLU()(x)
x = nn.Line... | C. The model will not train properly. The performance will be the same at the beginning of the first epoch and at the end of the last epoch. | machine_learning | computer_science | ||
NLP4Education_296 | NLP4Education | Consider a movie recommendation system which minimizes the following objective
rac{1}{2} \sum_{(d,n)\in\Omega} [x_{dn} - (\mathbf{W} \mathbf{Z}^ op)_{dn}]^2 + rac{\lambda_w}{2}
orm{\mathbf{W}}_ ext{Frob}^2 + rac{\lambda_z}{2}
orm{\mathbf{Z}}_ ext{Frob}^2
where $\mathbf{W}\in \R^{D imes K}$ and $\ma... | A. Feature vectors obtained in both cases remain the same. | machine_learning | computer_science |
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