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 |
|---|---|---|---|---|---|---|---|
aquarat_78407 | deepmind/aqua_rat | A survey was sent to 75 customers, 7 of whom responded. Then the survey was redesigned and sent to another 60 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? | A. 2% B. 5% C. 14% D. 60% E. 73% | D. 60% | Rate of first survey = 7/75
Rate of second survey = 9/60
% Response rate increase (9/60-7/75)/(7/75) = 60%
Answer is D = 60% | high_school_statistics | mathematics |
mmlu_aux_train_95743 | mmlu_aux_train | A desert environment can support
A. fish
B. banana trees
C. redwoods
D. insects | D. insects | high_school_biology | biology | ||
mmlu_aux_train_25457 | mmlu_aux_train | Learning to speak English well may be the best thing you can do to improve your life. That's right. If you can communicate in English, you can: Contact people from all over the world. Talk about your ideas and opinions on Internet discussion groups. Send email to interesting people.Learn about their life and culture. T... | B. gain technical knowledge | high_school_computer_science | computer_science | ||
mmlu_aux_train_1923 | mmlu_aux_train | Many cars are equipped with a catalytic converter, a device that helps remove hydrocarbons and oxides from car exhaust. As a result, this device helps to
A. increase the production of ozone.
B. decrease the production of smog.
C. increase the emission of nitrogen.
D. decrease the emission of carbon dioxide. | B. decrease the production of smog. | high_school_chemistry | chemistry | ||
NLP4Education_566 | NLP4Education | A passive adversary can \ldots
A. do nothing.
B. only listen to communications.
C. only interfere with client or server communications.
D. only replace some communication messages by others. | B. only listen to communications. | computer_security | computer_science | ||
pythonio_933 | pythonio-mc | Program:
def int_to_roman( num):
val = [1000, 900, 500, 400,100, 90, 50, 40,10, 9, 5, 4,1]
syb = ["M", "CM", "D", "CD","C", "XC", "L", "XL","X", "IX", "V", "IV","I"]
roman_num = ''
i = 0
while num > 0:
for _ in range(num // val[i]):
roman_num +... | B | code | computer_science | ||
mmlu_aux_train_17885 | mmlu_aux_train | "YOUR password has expired ," a message said on my screen, with instructions for changing it. Coming up with a new code doesn't seem like a big deal, unless you work at my company, where we have to change it monthly, using at least one uppercase character, one lowercase character, one symbol, and one number. Oh, t... | D. Stay@4ever | computer_security | computer_science | ||
pythonio_392 | pythonio-mc | Program:
def convert(list):
s = [str(i) for i in list]
res = int("".join(s))
return (res)
Input:
convert([4,5,6])
Output: | D | code | computer_science | ||
math_1521 | math_mc | Define a positive integer $n$ to be a factorial tail if there is some positive integer $m$ such that the decimal representation of $m!$ ends with exactly $n$ zeroes. How many positive integers less than $1992$ are not factorial tails?
| A | math_Number Theory | mathematics | ||
allenai/sciq_4932 | allenai/sciq | The rate of dissolving is influenced by surface area, stirring, and what else?
A. density
B. gravity
C. temperature
D. oxygen | C. temperature | The rate of dissolving is influenced by surface area, stirring, and temperature. | high_school_chemistry | chemistry | |
mmlu_aux_train_39488 | mmlu_aux_train | Is it wrong to use someone else's wireless(Wi-Fi) connection?Just recently,a man was arrested for doing just that.At that time,he was sitting in the street with a laptop and using an unsecured wireless connection to surf the Net.What do you think about this topic?Listen to the following different views on it. For a sta... | B. He thinks it is unacceptable. | computer_security | computer_science | ||
math_1029 | math_mc | A circle having center $(0,k)$, with $k>6$, is tangent to the lines $y=x$, $y=-x$ and $y=6$. What is the radius of this circle? | D | math_Geometry | mathematics | ||
mmlu_aux_train_60173 | mmlu_aux_train | For nearly a century before there was such a thing as a space program,a view of space was possible.People could see full views of the Moon,explore Mars ,and study the outer space beauty.All of this was made possible by a small group of artist-astronomers who worked to show people how other worlds in space might look. ... | A. the surprising exactness of space artists | astronomy | physics | ||
mmlu_aux_train_41113 | mmlu_aux_train | How to wash clothes in a flash LAUNDRY is never an easy part of housework. But if piles of sweaty T-shirts and smelly socks drive you crazy, then two Chinese scientists might have the answer. Long Mingce and Wu Deyong of Shanghai Jiao Tong University have invented a kind of cotton that cleans itself. No need for soap... | C. using sunlight | college_chemistry | chemistry | ||
allenai/sciq_204 | allenai/sciq | What is the apparatus used for carrying out an electrolysis reaction?
A. an electrolytic cell
B. catalyst
C. an aqueous cell
D. Golgi apparatus | A. an electrolytic cell | An electrolytic cell is the apparatus used for carrying out an electrolysis reaction. In an electrolytic cell, electric current is applied to provide a source of electrons for driving the reaction in a nonspontaneous direction. In a voltaic cell, the reaction goes in a direction that releases electrons spontaneously. I... | high_school_chemistry | chemistry | |
aquarat_70028 | deepmind/aqua_rat | In a certain random experiment, exactly one of the outcomes A, B, and V will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcom... | A. 5/243 B. 1/12 C. 10/81 D. 1/6 E. 16/81 | C. 10/81 | Number of ways in which a group of 2A,2B,2V can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind)
Total number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/V; Second in 3 diff ways ag... | high_school_statistics | mathematics |
NLP4Education_372 | NLP4Education | Consider the Rabin cryptosystem using a modulus $N=pq$ where $p$ and $q$ are both $\ell$-bit primes. What is the tightest complexity of the encryption algorithm?
A. $O(\ell)$
B. $O(\ell^2)$
C. $O(\ell^3)$
D. $O(\ell^4)$ | B. $O(\ell^2)$ | computer_security | computer_science | ||
NLP4Education_225 | NLP4Education | Let $f:\R^D\to\R$ be an $L$-hidden layer multi-layer perceptron (MLP) such that
\[
f(xv)=\sigma_{L+1}\left(\wv^\top\sigma_L(\Wm_L\sigma_{L-1}(\Wm_{L-1}\dots\sigma_1(\Wm_1xv)))\right),
\]
with $\wv\in\R^{M}$, $\Wm_1\in\R^{M\times D}$ and $\Wm_\ell\in\R^{M\times M}$ for $\ell=2,\dots, L$, and $\sigma_i$ for $i=1,\dots,L+... | C. Increasing model size without other changes | machine_learning | computer_science | ||
pythonio_125 | pythonio-mc | Program:
def toggle_string(string):
string1 = string.swapcase()
return string1
Input:
toggle_string("LIttLE")
Output: | C | code | computer_science | ||
pythonio_939 | pythonio-mc | Program:
def roman_to_int(s):
rom_val = {'I': 1, 'V': 5, 'X': 10, 'L': 50, 'C': 100, 'D': 500, 'M': 1000}
int_val = 0
for i in range(len(s)):
if i > 0 and rom_val[s[i]] > rom_val[s[i - 1]]:
int_val += rom_val[s[i]] - 2 * rom_val[s[i - 1]]
else:
... | A | code | computer_science | ||
mmlu_aux_train_34875 | mmlu_aux_train | The end of the World Cup does not mean the end of international competition, in Brazil this year. A major football event will happen in the South American country later this month, but with teams of robots playing the game, which is known as soccer in the United States. The robot teams are guided by teams of humans fro... | B. awkward | college_computer_science | computer_science | ||
aquarat_80598 | deepmind/aqua_rat | If U = V/W, -1 < W < 0 and 4 < V, which of the following is correct? | A. U > 4. B. 0 < U <4. C. -4 < U < 0. D. U < -4. E. U < -20. | D. U < -4. | V is +veW is -ve
Eliminate AB
For min. value max. numerator and minimize dinominator
take V=4.1U=-0.9
U=4.1/-0.9
U<-4
Ans D | college_mathematics | mathematics |
math_177 | math_mc | What is the shortest distance between the circles defined by $x^2-10x +y^2-4y-7=0$ and $x^2+14x +y^2+6y+49=0$? | B | math_Algebra | mathematics | ||
mmlu_aux_train_21215 | mmlu_aux_train | The past week was possibly the most eventful in the history of customer technology markets,or to be precise, the 7-inch (17.8-cm) tablet market. Never before have three of thebiggest players in the industry scheduled what could be truly historic productlaunches so close together. Despite its name, the 7.9-inch iPad M... | D. Size | computer_security | computer_science | ||
allenai/sciq_6496 | allenai/sciq | What effect causes global winds to blow on a diagonal over the earth's surface?
A. centrifugal effect
B. dopler effect
C. coriolis effect
D. resonant effect | C. coriolis effect | Global winds occur in belts around the globe. They are caused by unequal heating of Earth’s surface. The Coriolis effect causes global winds to blow on a diagonal over the surface. Unequal heating also causes jet streams high in the troposphere. | college_earth_science | earth_science | |
allenai/sciq_8940 | allenai/sciq | What type of plate is an island arc found on?
A. shear
B. continental
C. oceanic
D. coastal | C. oceanic | An island arc is a line of volcanoes on an oceanic plate. A continental arc is a line of volcanoes on a continental plate. | earth_science | earth_science | |
math_1573 | math_mc | When $11^4$ is written out in base 10, the sum of its digits is $16=2^4$. What is the largest base $b$ such that the base-$b$ digits of $11^4$ do not add up to $2^4$? (Note: here, $11^4$ in base $b$ means that the base-$b$ number $11$ is raised to the fourth power.) | C | math_Number Theory | mathematics | ||
mmlu_aux_train_72526 | mmlu_aux_train | When you are ill, you should go to see a doctor. After the doctor looks you over, he will give you a note to take to the _ for some medicine. Chemists are usually good at reading doctors' notes. But sometimes doctors write too badly and even the chemist can not read them. One day a woman wrote to a doctor to invite him... | B. the doctor wrote badly | high_school_computer_science | computer_science | ||
mmlu_aux_train_94850 | mmlu_aux_train | Why is it important to have a large sample size in an investigation?
A. to be able to compare results
B. to increase the validity of the data
C. to form the best conclusion
D. to ensure the procedure is followed | B. to increase the validity of the data | high_school_statistics | mathematics | ||
mmlu_aux_train_25849 | mmlu_aux_train | Recently I was asked,"Are we anywhere near the day when you can climb into a car on Long Island, program it to take you to your niece's house in Chicago, hit enter, and after the first hundred yards, once you hit a main road, the car takes over automatically and you just sit back and enjoy the ride?" It is a questio... | A. to draw readers' attention to his theory | college_computer_science | computer_science | ||
allenai/sciq_2929 | allenai/sciq | What kind of bases completely dissociate in water, releasing all hydroxide anions into the solution?
A. whole
B. strong
C. weak
D. unusual | B. strong | Strong bases completely dissociate in water, releasing all hydroxide anions into the solution. The most common strong bases are soluble metal hydroxides. Weak bases partially deprotonate water to form small amounts of hydroxide and the protonated base. | high_school_chemistry | chemistry | |
NLP4Education_52 | NLP4Education | Select all the statements that are true. A penalty will be applied for any incorrect answers selected.
A. The order of words is ignored in the bag-of-words model.
B. High values of document frequency mean the word is highly discriminative.
C. Documents that are orthogonal to each other give a cosine similarity measure ... | A. The order of words is ignored in the bag-of-words model. | machine_learning | computer_science | ||
aquarat_30933 | deepmind/aqua_rat | A chemical supply company has 60 liters of a 30% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? | A. 12 B. 15 C. 20 D. 24 E. 30 | D. 24 | 60 liters of a 30% HNO3 solution means HNO3 = 18 liters in 60 liters of the solution.
Now, let x be the pure HNO3 added.
As per question,
18 + x = 50% of (60 + x)
or x =24. Hence, D | high_school_chemistry | chemistry |
allenai/sciq_5602 | allenai/sciq | Human culture is related to evolutionary theory in the discipline of what?
A. ethnology
B. sociobiology
C. astrology
D. psychopathology | B. sociobiology | high_school_biology | biology | ||
math_383 | math_mc | Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$).
If the graphs of $y=f(x^2)$ and $y=f(x^4)$ are drawn, at how many points do they intersect? | D | math_Algebra | mathematics | ||
allenai/sciq_1025 | allenai/sciq | What is the measure of the force of gravity pulling down on an object called?
A. factor
B. mass
C. weight
D. volume | C. weight | Weight is a measure of the force of gravity pulling down on an object. Buoyant force pushes up on an object. Weight and buoyant force together determine whether an object sinks or floats. This is illustrated in Figure below . | conceptual_physics | physics | |
mmlu_aux_train_41647 | mmlu_aux_train | The largest outbreak of the deadly disease Ebola was caused by an infected bat biting a toddler, say a group of international researchers. The 17-strong team of European and African tropical disease researchers, ecologists and anthropologists have spent three weeks investigating the outbreak of the disease in Guinea, ... | A. To look into the outbreak of Ebola. | virology | biology | ||
allenai/sciq_4164 | allenai/sciq | What group includes the simplest eukaryotes, including most single-celled eukaryotes?
A. arthropods
B. protists
C. bivalves
D. fungi | B. protists | Most single-celled eukaryotes are protists. Protists are the simplest eukaryotes. | high_school_biology | biology | |
aquarat_9975 | deepmind/aqua_rat | Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=45, what is the maximum value of y for which f(x,y)=0? | A. 32 B. 35 C. 39 D. 40 E. 42 | C. 39 | The question is finding y such that (45-y)! is a multiple of 45. That means we need to have 5*3^2 in (45-y)!
6! is the smallest factorial number with 5*3^2 as a factor.
45-y = 6
y = 39
The answer is C. | college_mathematics | mathematics |
math_690 | math_mc | At the grocery store, I bought $4$ different items. I brought $3$ identical bags, and handed them to the cashier. How many ways are there for the cashier to put the items I bought in the $3$ identical bags, assuming he might leave some of the bags empty? | D | math_Counting & Probability | mathematics | ||
pythonio_925 | pythonio-mc | Program:
def profit_amount(actual_cost,sale_amount):
if(actual_cost > sale_amount):
amount = actual_cost - sale_amount
return amount
else:
return None
Input:
profit_amount(1500,1200)
Output: | B | code | computer_science | ||
NLP4Education_596 | NLP4Education | Tick the \textbf{true} assertion. In a zero-knowledge interactive proof of knowledge, \ldots
A. for any ppt verifier, any simulator can produce a transcript which is indistinguishable from the original conversation.
B. the proof of knowledge denotes that the prover does not know why the statement is true.
C. for any pp... | C. for any ppt verifier, there is a simulator which produces a conversation indistinguishable from the original conversation. | computer_security | computer_science | ||
math_615 | math_mc | Henry's little brother has $8$ identical stickers and $4$ sheets of paper, each a different color. He puts all the stickers on the pieces of paper. How many ways are there for him to do this, if only the number of stickers on each sheet of paper matters? | A | math_Counting & Probability | mathematics | ||
allenai/sciq_6199 | allenai/sciq | Sulfur can combine with oxygen to produce what?
A. sulfur oxide
B. sulfur trioxide
C. sulfur bioxide
D. sulfur dioxide | B. sulfur trioxide | When nonmetals react with one another, the product is a molecular compound. Often, the nonmetal reactants can combine in different ratios and produce different products. Sulfur can also combine with oxygen to produce sulfur trioxide. | high_school_chemistry | chemistry | |
allenai/sciq_10147 | allenai/sciq | When matter changes into an entirely different substance with different chemical properties, what has occurred?
A. physical change
B. gaseous change
C. mechanical change
D. chemical change | D. chemical change | A chemical change occurs whenever matter changes into an entirely different substance with different chemical properties. A chemical change is also called a chemical reaction. Many complex chemical changes occur to produce the explosions of fireworks. An example of a simpler chemical change is the burning of methane. M... | high_school_chemistry | chemistry | |
allenai/sciq_5285 | allenai/sciq | Amino acids are joined together to form a chain at what molecular structure?
A. ribosomes
B. DNA
C. chromosomes
D. chloroplasts | A. ribosomes | At the ribosome, the amino acids are joined together to form a chain of amino acids. | college_biology | biology | |
allenai/sciq_58 | allenai/sciq | Increasing the temperature of n2 molecules increases what energy of motion?
A. kinetic energy
B. emotional energy
C. compression energy
D. residual energy | A. kinetic energy | Increasing the temperature increases the average kinetic energy of the N2molecules. | college_chemistry | chemistry | |
mmlu_aux_train_14274 | mmlu_aux_train | An interesting study posted on Facebook recently shows how men and women develop new interests as they mature . While women tend to take exercise seriously from the age of 34, men will wait until their 45th birthdays before working hard to get in shape. The average woman spends more time talking about sports, politics,... | A. At the age of 22. | high_school_statistics | mathematics | ||
pythonio_692 | pythonio-mc | Program:
def count_Pairs(arr,n):
cnt = 0;
for i in range(n):
for j in range(i + 1,n):
if (arr[i] == arr[j]):
cnt += 1;
return cnt;
Input:
count_Pairs([3,2,1,7,8,9],6)
Output: | C | code | computer_science | ||
allenai/sciq_4211 | allenai/sciq | What term describes a region of space around an atom that has a non-zero probability for an electron with a particular energy?
A. orbital lobe
B. minimal orbital
C. atomic orbital
D. related orbital | C. atomic orbital | An atomic orbital is a region of space around an atom that has a non-zero probability for an electron with a particular energy. Analogously, a molecular orbital is a region of space in a molecule that has a non-zero probability for an electron with a particular energy. Both an atomic orbital and a molecular orbital can... | college_chemistry | chemistry | |
allenai/sciq_2105 | allenai/sciq | The mean free path for a gaseous molecule will be hundreds of times the what of the molecule?
A. density
B. variation
C. weight
D. diameter | D. diameter | If you have ever been in a room when a piping hot pizza was delivered, you have been made aware of the fact that gaseous molecules can quickly spread throughout a room, as evidenced by the pleasant aroma that soon reaches your nose. Although gaseous molecules travel at tremendous speeds (hundreds of meters per second),... | college_physics | physics | |
aquarat_29158 | deepmind/aqua_rat | There are n cities. What is the number of airlines that connected 4 different cities (airline from city A to city B is different with airline from city B to city A)? | A. n(n-1) B. n(n-3) C. n(n-1)/2 D. n(n+1)/2 E. n2 | B. n(n-3) | First of all, the possible number of airlines is n. Then, the possible number of airlines departing from one city to another becomes (n-3). Hence, the answer is n(n-3), which makes A an answer choice.
B | college_mathematics | mathematics |
aquarat_45079 | deepmind/aqua_rat | There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has. | A. Chauffeur B. Steering C. Mechanic D. Brake E. gren | A. Chauffeur | Explanation:
Horse is driven by a jockey .
Similarly,car is driven by a chauffeur
Answer: A) | formal_logic | mathematics |
math_1010 | math_mc | Altitudes $\overline{AP}$ and $\overline{BQ}$ of an acute triangle $\triangle ABC$ intersect at point $H$. If $HP=5$ while $HQ=2$, then calculate $(BP)(PC)-(AQ)(QC)$. [asy]
size(150); defaultpen(linewidth(0.8));
pair B = (0,0), C = (3,0), A = (2,2), P = foot(A,B,C), Q = foot(B,A,C),H = intersectionpoint(B--Q,A--P);
dr... | B | math_Geometry | mathematics | ||
mmlu_aux_train_43976 | mmlu_aux_train | Ever since man began to use the telephone, there have been new problems arising from the carrying of messages. At first, each message was carried by a pair of overhead wires. As a result, telephone exchanges were soon surrounded by thousands of wires. The wires were then replaced by cables ,each containing many pairs ... | C. carries more messages | electrical_engineering | engineering | ||
allenai/sciq_427 | allenai/sciq | Felsic, intermediate, mafic, and ultramafic are types of composition of what rock group?
A. metamorphic
B. asteroids
C. Sedimentary
D. igneous | D. igneous | Igneous rocks are classified by composition and texture. The composition can be felsic, intermediate, mafic, or ultramafic. The composition depends on the minerals the rock includes. A felsic rock will contain felsic minerals. | college_geology | earth_science | |
math_569 | math_mc | If I roll 5 standard 6-sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number? | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_95067 | mmlu_aux_train | This type of energy resource often results in particulates that are very toxic to breathe:
A. wood
B. coal
C. oil
D. solar | B. coal | high_school_chemistry | chemistry | ||
mmlu_aux_train_94846 | mmlu_aux_train | What type of chemical reaction occurs when the body breaks down fats and sugars that supply it with energy?
A. endothermic
B. exothermic
C. electrical
D. physical | B. exothermic | high_school_chemistry | chemistry | ||
pythonio_852 | pythonio-mc | Program:
def coin_change(S, m, n):
table = [[0 for x in range(m)] for x in range(n+1)]
for i in range(m):
table[0][i] = 1
for i in range(1, n+1):
for j in range(m):
x = table[i - S[j]][j] if i-S[j] >= 0 else 0
y = table[i][j-1] if j >= 1 else 0
... | C | code | computer_science | ||
aquarat_88686 | deepmind/aqua_rat | Find the number of zero's in the expression 1^1 * 2^2 * 3^3 * 4^4 * 5^5 * ……..10^10. | A. 28 B. 15 C. 16 D. 17 E. 81 | B. 15 | To find the number of zero's we have to find the powers of 2's and 5's.
Powers of 2's = 2 + 4 + 6 + 8 + 10 = 26
But 4, 8 contains more 2's which are equal to 4 + 8 = 12
8 contains another eight 2's.
So total 2's = 46
Number of 5's = 5 + 10 = 15
So trailing zeroes = 15.
Answer:B | college_mathematics | mathematics |
pythonio_99 | pythonio-mc | Program:
def last_occurence_char(string,char):
flag = -1
for i in range(len(string)):
if(string[i] == char):
flag = i
if(flag == -1):
return None
else:
return flag + 1
Input:
last_occurence_char("hello world",'l')
Output: | D | code | computer_science | ||
mmlu_aux_train_12572 | mmlu_aux_train | A new study finds that the animal known as man's best friend can also be a good friend to the heart. Researchers in California say they have found that even just a short visit with a dog helped ease the worries of heart patients. The study divided the patients into three groups. In Group A, a dog and a person visited e... | B. the dog is the most popular pet for man | high_school_biology | biology | ||
aquarat_18429 | deepmind/aqua_rat | If TIER is written as 7168 and BRAIN is written as 28415, how is RENT coded ? | A. 3653 B. 8657 C. 2977 D. 2790 E. 2711 | B. 8657 | Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 6 8 2 4 5
Thus, the code for RENT is 8657.
ANSWER:B | formal_logic | mathematics |
pythonio_902 | pythonio-mc | Program:
import re
def num_position(text):
for m in re.finditer("\d+", text):
return m.start()
Input:
num_position("every adult have 32 teeth")
Output: | D | code | computer_science | ||
math_425 | math_mc | A sequence of three real numbers forms an arithmetic progression with a first term of 9. If 2 is added to the second term and 20 is added to the third term, the three resulting numbers form a geometric progression. What is the smallest possible value for the third term of the geometric progression? | D | math_Algebra | mathematics | ||
aquarat_59169 | deepmind/aqua_rat | 10 People take a history test. The following are the scores:
40, 45, 45, 50, 50, 60, 70, 75, 95, 100
Using the mean and median scores, find the amount of scores that fall in between the range of the two | A. One B. Three C. Five D. Seven E. Nine | A. One | The median = (the average of two middle terms) = (50 + 60)/2 = 55.
The mean = (the sum)/(# of terms) = 630/10 = 63.
Only 60 is between 55 and 63. | high_school_statistics | mathematics |
NLP4Education_679 | NLP4Education | Graph coloring consist of coloring all vertices \ldots
A. with a unique color.
B. with a different color when they are linked with an edge.
C. with a random color.
D. with a maximum number of colors. | B. with a different color when they are linked with an edge. | college_mathematics | mathematics | ||
mmlu_aux_train_4864 | mmlu_aux_train | Which animal develops inside its mother before it is born alive?
A. Butterfly
B. Cat
C. Duck
D. Frog | B. Cat | high_school_biology | biology | ||
allenai/sciq_1735 | allenai/sciq | What is the term for the smallest particle of an element that still has the properties of that element?
A. electron
B. atom
C. nucleus
D. neutron | B. atom | An element is a pure substance. It cannot be broken down into other types of substances. Each element is made up of just one type of atom. An atom is the smallest particle of an element that still has the properties of that element. | high_school_chemistry | chemistry | |
math_1796 | math_mc | The zeroes of the function $f(x)=x^2-ax+2a$ are integers. What is the sum of the possible values of $a?$
$\textbf{(A)}\ 7\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 16\qquad\textbf{(D)}\ 17\qquad\textbf{(E)}\ 18$
| D | math_Number Theory | mathematics | ||
aquarat_97092 | deepmind/aqua_rat | What is the Mode of the following data set R- {1,2,7,9,6,6,7,7} | A. 1 B. 2 C. 7 D. 6 E. 9 | C. 7 | Mode of a set is the data point that is repeated the most number of times. In the set given, 7 is repeated.
Answer: C | high_school_statistics | mathematics |
allenai/sciq_231 | allenai/sciq | What term is not the same as energy, but means the energy per unit charge?
A. mass
B. speed
C. frequency
D. voltage | D. voltage | The second equation is equivalent to the first. Voltage is not the same as energy. Voltage is the energy per unit charge. Thus a motorcycle battery and a car battery can both have the same voltage (more precisely, the same potential difference between battery terminals), yet one stores much more energy than the other s... | high_school_physics | physics | |
mmlu_aux_train_6774 | mmlu_aux_train | Which are you more likely to have with you at any given moment-your cell phone or your wallet? Soon you may be able to throw your wallet away and pay for things with a quick wave of your smart phone over an electronic scanner. In January, Starbucks announced that customers could start using their phones to buy coffee i... | B. The boom of pay-by-phone business. | computer_security | computer_science | ||
aquarat_97177 | deepmind/aqua_rat | At the faculty of Aerospace Engineering, 310 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering? | A. 430 B. 432 C. 440 D. 442 E. 446 | A. 430 | 310 + 232 - 112 (since 112 is counted twice )= 430
A is the answer | college_mathematics | mathematics |
pythonio_161 | pythonio-mc | Program:
def two_unique_nums(nums):
return [i for i in nums if nums.count(i)==1]
Input:
two_unique_nums([1,2,3,2,4,5])
Output: | A | code | computer_science | ||
allenai/sciq_464 | allenai/sciq | What happens to old oceanic crust at convergent boundaries?
A. emerges
B. destroyed
C. created
D. dissolves | B. destroyed | It’s much easier to precisely make mirrors than to precisely make glass lenses. For that reason, reflectors can be made larger than refractors. Larger telescopes can collect more light. This means that they can study dimmer or more distant objects. The largest optical telescopes in the world today are reflectors. Teles... | college_geology | earth_science | |
math_295 | math_mc | The graph of the equation $y = \frac{x}{x^3 + Ax^2 + Bx + C}$, where $A,B,C$ are integers, is shown below. Find $A + B + C$. [asy]
import graph; size(8.14cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-3.52,xmax=4.62,ymin=-3.66,ymax=3.94;
pen cqcqcq=rgb(0.75,0.75,0.75)... | D | math_Algebra | mathematics | ||
allenai/sciq_4301 | allenai/sciq | What is the highest taxon in the classification of living things?
A. a family
B. a class
C. a phylum
D. a domain | D. a domain | Prokaryotes are currently placed in two domains. A domain is the highest taxon in the classification of living things. It's even higher than the kingdom. | college_biology | biology | |
aquarat_62323 | deepmind/aqua_rat | Which of the following functions does not intersect with w = 3x^2 + 2x + 1 | A. W = 3x^2 + 3x + 1 B. W = 2x^2 + 3x + 1 C. W = 3x^2 + 2x + 3 D. W = 4x^2 + 2x - 3 E. W = x^2 + 2x + 3 | C. W = 3x^2 + 2x + 3 | Let’s find the actual intersecting point of given function and each choice w
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
E... | college_mathematics | mathematics |
NLP4Education_605 | NLP4Education | Who invented linear cryptanalysis?
A. Mitsuru Matsui
B. Eli Biham
C. Serge Vaudenay
D. Adi Shamir | A. Mitsuru Matsui | computer_security | computer_science | ||
mmlu_aux_train_47064 | mmlu_aux_train | Is it wrong to use someone else's wireless (Wi-Fi) connection? Just recently, a man was arrested for doing just that. At that time, he was sitting in the street with a laptop and using an unsecured wireless connection to surf the Net. What do you think about this topic? Listen to the following different views on it. ... | A. He thinks it is unacceptable. | computer_security | computer_science | ||
allenai/sciq_8769 | allenai/sciq | What explains why water molecules tend to stick together?
A. mineral bonds
B. hydrogen bonds
C. helium bonds
D. covalent bonds | B. hydrogen bonds | Hydrogen bonds between water molecules explain some of water’s properties. For example, hydrogen bonds explain why water molecules tend to stick together. Have you ever watched water drip from a leaky faucet or from a melting icicle? If you have, then you know that water always falls in drops rather than as separate mo... | college_chemistry | chemistry | |
mmlu_aux_train_47319 | mmlu_aux_train | We often use an Internet search engine to find a website that will provide information. For example, if we want to learn something about the Pepsi Cola Company, its website provides information about the history of the company. We can also find articles in newspapers and magazines. We confirm information with second an... | A. can be used for free | high_school_computer_science | computer_science | ||
NLP4Education_536 | NLP4Education | Tick the \emph{true} assertion related to the ElGamal signature scheme.
A. A signature of a given message is obtained in a deterministic way.
B. The generator $g$ generates a subgroup of prime order.
C. The signature verification procedure is probabilistic.
D. The main computational cost of the signature generation is ... | D. The main computational cost of the signature generation is due to one modular exponentiation. | computer_security | computer_science | ||
math_1454 | math_mc | Two circles of radius $r$ are externally tangent to each other and internally tangent to the ellipse $x^2 + 5y^2 = 6,$ as shown below. Find $r.$
[asy]
size(7cm);
draw(scale(sqrt(6), sqrt(6)/sqrt(5))* unitcircle);
draw((0,-1.5)--(0,1.7),EndArrow);
draw((-3,0)--(3,0),EndArrow);
draw(Circle( (sqrt(0.96),0), sqrt(0.96) ));... | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_27406 | mmlu_aux_train | Kewen Lichadson is thirty two years old now. He works in the Lasailian Park in the South Africa, where many wild animals such as lions, tigers, leopards and wolves are living. When you get there you may have a chance to see him playing with these wild animals without anything to protect himself except a small bag of pe... | A. swimming with the wild animals side by side | high_school_biology | biology | ||
aquarat_60445 | deepmind/aqua_rat | The class mean score on a test was 60, and the standard deviation was 10. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received? | A. 30 B. 31 C. 45 D. 90 E. 20 | E. 20 | 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.
1SD from the mean ranges from 70 to 50, where 70 is within SD above the mean and 50 within 1SD below the mean
2SD=10 TWICE=20 from the the mean, which is 80 to 40, whe... | high_school_statistics | mathematics |
mmlu_aux_train_98516 | mmlu_aux_train | If a thing is going to be a planet, it must orbit in a certain amount of time, which can exclude
A. mercury
B. the ninth planet
C. the third planet
D. venus | B. the ninth planet | astronomy | physics | ||
math_892 | math_mc | The region shown is bounded by the arcs of circles having radius 4 units, having a central angle measure of 60 degrees and intersecting at points of tangency. The area of the region can be expressed in the form $a\sqrt{b}+c\pi$ square units, where $\sqrt{b}$ is a radical in simplest form. What is the value of $a + b + ... | B | math_Geometry | mathematics | ||
mmlu_aux_train_94057 | mmlu_aux_train | Which of the following remains constant in Earth's carbon cycle?
A. the total mass of available carbon
B. the way organisms use carbon
C. the physical state of carbon-containing molecules
D. the molecule in which a particular carbon atom is found | A. the total mass of available carbon | college_biology | biology | ||
math_860 | math_mc | The image of the point with coordinates $(1,1)$ under the reflection across the line $y=mx+b$ is the point with coordinates $(9,5)$. Find $m+b$. | C | math_Geometry | mathematics | ||
aquarat_91256 | deepmind/aqua_rat | f(1)=1,where f(x+y)=f(x)+f(y)+8xy-2.then f(7)=? | A. 162 B. 163 C. 164 D. 165 E. 166 | B. 163 | f(1)=1
f(2)= f(1+1)= 1+1+8-2= 8
f(3) = f(2+1)= 8+1+ (8*2*1)-2 = 23
f(6)= f(3+3)= 23+23+ (8*3*3)-2= 116
f(7) = f(6+1)= 116+1+(8*6*1)-2= 163
thus ans is 163
ANSWER:B | college_mathematics | mathematics |
allenai/sciq_5620 | allenai/sciq | A lens of what shape causes rays of light to diverge, or spread apart, as they pass through it?
A. convex
B. flat
C. concave
D. elongated | C. concave | A concave lens is thicker at the edges than it is in the middle. You can see the shape of a concave lens in the Figure below . From the diagram, it’s clear that the lens causes rays of light to diverge, or spread apart, as they pass through it. Note that the image formed by a concave lens is on the same side of the len... | conceptual_physics | physics | |
NLP4Education_628 | NLP4Education | Tick the \emph{incorrect} assertion regarding the security of the Diffie-Hellman key exchange over a subgroup $\langle g \rangle \subset \mathbb{Z}_p^*$.
A. $\langle g \rangle$ should have prime order.
B. We must ensure that $X\in \langle g \rangle$ for every received $X$.
C. The binary representation of the output of ... | C. The binary representation of the output of the key exchange is a uniformly distributed bitstring. | computer_security | computer_science | ||
pythonio_397 | pythonio-mc | Program:
def sum_nums(x, y,m,n):
sum_nums= x + y
if sum_nums in range(m, n):
return 20
else:
return sum_nums
Input:
sum_nums(15,17,1,10)
Output: | B | code | computer_science | ||
aquarat_37698 | deepmind/aqua_rat | Let T be the set of integers { 3, 11, 19, 27, ..., 451, 459, 467 } and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is | A. 32 B. 28 C. 29 D. 30 E. None of these | D. 30 | Explanation :
At first, let's find the number fo integers in the given series.
=> Tn = a + (n - 1) d.
=> 467 = 3 + (n - 1) 8.
=> 464/8 = n - 1.
=> 58 + 1 = n. i.e n = 59.
If we closely observe the given set 3 + 467 = 11 + 459 = .... = 470.
The total number of elements in the given set = 59.
This means that we have 59/2... | college_mathematics | mathematics |
math_1461 | math_mc | Positive integers $a$, $b$, $c$, and $d$ satisfy $a > b > c > d$, $a + b + c + d = 2010$, and $a^2 - b^2 + c^2 - d^2 = 2010$. Find the number of possible values of $a.$ | D | math_Intermediate Algebra | mathematics | ||
pythonio_768 | 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],4)
Output: | D | code | computer_science | ||
mmlu_aux_train_1962 | mmlu_aux_train | When it rains, some animals will ___.
A. hibernate for the season
B. migrate to warmer climates
C. change their body covering
D. move to seek shelter | D. move to seek shelter | high_school_biology | biology |
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