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 |
|---|---|---|---|---|---|---|---|
math_722 | math_mc | Six congruent circles form a ring with each circle externally tangent to the two circles adjacent to it. All six circles are internally tangent to a circle $\cal C$ with radius 30. Let $K$ be the area of the region inside $\cal C$ and outside all of the six circles in the ring. Find $\lfloor K\rfloor$. (The notation... | A | math_Geometry | mathematics | ||
aquarat_28467 | deepmind/aqua_rat | Set R has a mean of 9 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? | A. {18, 20} B. {8, 10} C. {28, 38} D. {6, 10} E. {5, 10} | B. {8, 10} | The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 9,the values (8,10) are closer than others.
Hence Answer : B | high_school_statistics | mathematics |
mmlu_aux_train_14407 | mmlu_aux_train | More over smart phone, the intelligent watch is about to take your spot as the latest hi-tech current, allowing wearers to glance at messages and even take calls without touching their phones. The i'm Watch, available since 2011, is the flagship product of an Italian company--i'm. This smart watch is an assist to the s... | B. It is linked to smart phone. | computer_security | computer_science | ||
mmlu_aux_train_45989 | mmlu_aux_train | George had stolen some money, but the police had caught him and he had been put in prison. Now his trial was about to begin, and he felt sure that he would be found guilty and sent to prison for a long time. Then he discovered that an old friend of his was one of the members of the jury at his trial. Of course, he did ... | C. lighten his punishment | formal_logic | mathematics | ||
mmlu_aux_train_67563 | mmlu_aux_train | Since the 1970s, scientists have been searching for ways to connect the brain with computers. Braincomputer interface(BCI) technology could help people with disabilities send commands to machines. Recently, two scientists, Jose Millan and Michele Tavella from the Federal Polytehnic School in Lausanne, Switzerland, show... | B. connect the human brain with computers | college_medicine | biology | ||
aquarat_67000 | deepmind/aqua_rat | Which is a better investment 12% stock at 200 or 7 2/3 stock at 150? | A. 12% stock at 200 B. Cannot be compared, as the total amount of investment is not given C. 7 2/3 stock at 150 D. Both are equally good E. None | A. 12% stock at 200 | Let investment in each case be Rs. (200 x 150).
Income in 1st case = Rs.12 x 200 x 150/200 = Rs. 1800.
Income in 2nd case = Rs.23 x 200 x 150/(3*150)= Rs. 1533.3
Clearly, 12% stock at 200 is better.
ANSWER:A | college_mathematics | mathematics |
mmlu_aux_train_14053 | mmlu_aux_train | From furniture to jewelry, from the medical industry to civil engineering,three--dimensional printing can turn all sorts of ideas into objects. "I wanted to print large objects such as buildings,"said Behrokh Khoshnevis,professor of the University of Southern California.He planned to construct a house in 24 hours b... | D. Material. | college_computer_science | computer_science | ||
math_102 | math_mc | Let $k, a_2, a_3$ and $k, b_2, b_3$ be nonconstant geometric sequences with different common ratios. If \[a_3-b_3=2(a_2-b_2),\]then what is the sum of the common ratios of the two sequences? | B | math_Algebra | mathematics | ||
NLP4Education_707 | NLP4Education | Which of the following statements about mitigations are correct?
A. Control-Flow Integrity can efficiently protect the forward edge but, when using target sets, is limited on the backward edge.
B. Code-Pointer Integrity (specifically the implementation described in the slides) uses a separate stack to protect code poin... | B. Code-Pointer Integrity (specifically the implementation described in the slides) uses a separate stack to protect code pointers. | computer_security | computer_science | ||
pythonio_626 | pythonio-mc | Program:
from math import tan, pi
def perimeter_polygon(s,l):
perimeter = s*l
return perimeter
Input:
perimeter_polygon(4,20)
Output: | B | code | computer_science | ||
allenai/sciq_6208 | allenai/sciq | What is a process that changes some chemical substances into other chemical substances?
A. a chemical reaction
B. a bio reaction
C. spontaneous mutation
D. cellular respiration | A. a chemical reaction | A chemical reaction is a process that changes some chemical substances into other chemical substances. The substances that start a chemical reaction are called reactants . The substances that form as a result of a chemical reaction are called products . During the reaction, the reactants are used up to create the produ... | high_school_chemistry | chemistry | |
mmlu_aux_train_98675 | mmlu_aux_train | If one electrical conductor touches another one what will flow through them both?
A. zapping power
B. tea
C. water
D. milk | A. zapping power | electrical_engineering | engineering | ||
allenai/sciq_6459 | allenai/sciq | What substances function as a long-term energy store in the human body and possess long carbon chains that prevent dissolving in water?
A. triglycerides
B. nanoparticles
C. steroids
D. hydrocarbons | A. triglycerides | Triglycerides function as a long-term storage form of energy in the human body. Because of the long carbon chains, triglycerides are nearly nonpolar molecules and thus do not dissolve readily in polar solvents such as water. Instead, oils and fats are soluble in nonpolar organic solvents such as hexane and ethers. | college_biology | biology | |
mmlu_aux_train_97476 | mmlu_aux_train | Which feels hotter?
A. 90 degrees Fahrenheit, high humidity
B. low temperature, low humidity
C. low temperature, high humidity
D. 90 degrees Fahrenheit, low humidity | A. 90 degrees Fahrenheit, high humidity | high_school_physics | physics | ||
aquarat_67980 | deepmind/aqua_rat | If A(k)=(k+1)^-k, and k=0, what is the value of A(A(A(k)))? | A. 0 B. (2/3)^(1/2) C. 1 D. (3/2)^(1/2) E. (2/3)^-2 | B. (2/3)^(1/2) | A(A(A(0)))=A(A(1))=A(1/2)=(1/2+1)^-1/2=(2/3)^(1/2)
Thus, the answer is B. | college_mathematics | mathematics |
mmlu_aux_train_94872 | mmlu_aux_train | A student uses a high-efficiency gasoline lawnmower to cut grass. The term "high efficiency" is used to indicate that the lawnmower
A. cuts better than other lawnmowers.
B. is easier to use than other lawnmowers.
C. uses less energy than other lawnmowers.
D. requires more fuel than other lawnmowers. | C. uses less energy than other lawnmowers. | conceptual_physics | physics | ||
pythonio_467 | pythonio-mc | Program:
def front_and_rear(test_tup):
res = (test_tup[0], test_tup[-1])
return (res)
Input:
front_and_rear((10, 4, 5, 6, 7))
Output: | A | code | computer_science | ||
aquarat_13340 | deepmind/aqua_rat | If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average Y (arithmetic mean) annual increase in the index over this period? | A. (x + 100)/18 B. x/18 C. (100 − x)/18 D. (x − 100)/18 E. 100x/18 | D. (x − 100)/18 | CPI in end of 1967 = 100
CPI in end of 1985 = x
Number of years = 18
Average annual increase in CPI Y= (x-100)/18
Answer D | high_school_statistics | mathematics |
allenai/sciq_4977 | allenai/sciq | What is the cause of most ocean waves?
A. Magnetic pull
B. winds
C. Gravity
D. tides | B. winds | Most ocean waves are caused by winds. The size of a wave depends on how fast, how far, and how long the wind blows. Tsunamis are waves caused by earthquakes. | earth_science | earth_science | |
allenai/sciq_7868 | allenai/sciq | What type of waves are the slowest of all seismic waves?
A. surface waves
B. central waves
C. thick waves
D. core waves | A. surface waves | Surface waves travel along the ground outward from an earthquake’s epicenter. Surface waves are the slowest of all seismic waves. They travel at 2.5 km (1.5 miles) per second. There are two types of surface waves. Love waves move side-to-side, much like a snake. Rayleigh waves produce a rolling motion as they move up a... | high_school_physics | physics | |
allenai/sciq_6422 | allenai/sciq | What determines the strength of a base when dissolved in water?
A. amount of phosphorus ions produced
B. pH level
C. amount of hydroxide ions produced
D. saline content | C. amount of hydroxide ions produced | The strength of a base depends on how many hydroxide ions it produces when it dissolves in water. A stronger base produces more hydroxide ions than a weaker base. For example, sodium hydroxide (NaOH), a base in drain cleaner, is a strong base because all of it breaks down into ions when it dissolves in water. Calcium c... | high_school_chemistry | chemistry | |
mmlu_aux_train_85557 | mmlu_aux_train | In order to make students become more interested in English studies,21 elementary schools in southeastern Korea have started to use robot teachers. The robot teacher is called Engkey. She was developed by the Korea Institute of Science and Technology. She is about one meter high and is white,egg-shaped. She takes a dis... | B. Because Korea wants to make students become more interested in English studies. | high_school_computer_science | computer_science | ||
pythonio_879 | pythonio-mc | Program:
import math
def sum_series(number):
total = 0
total = math.pow((number * (number + 1)) /2, 2)
return total
Input:
sum_series(15)
Output: | B | code | computer_science | ||
mmlu_aux_train_2348 | mmlu_aux_train | Which of these is not an example of a physical change of state?
A. boiling
B. stirring
C. freezing
D. evaporating | B. stirring | high_school_chemistry | chemistry | ||
allenai/sciq_7395 | allenai/sciq | The pulmonary circulation carries blood between what two organs?
A. lungs and kidney
B. heart and pancreas
C. heart and lungs
D. kidney and heart | C. heart and lungs | The pulmonary circulation carries blood between the heart and lungs. The systemic circulation carries blood between the heart and body. | high_school_biology | biology | |
mmlu_aux_train_55916 | mmlu_aux_train | Riding School: You can start horse-riding at any age. Choose private or group lessons any weekday between 9 a.m. and 8:30 p.m. (3:30 p.m. on Saturdays). There are 10 kilometres of tracks and paths for leisurely rides across farmland and open country. You will need a riding hat. Opening Hours: Monday through Friday:... | C. Watersports Club | high_school_computer_science | computer_science | ||
aquarat_64505 | deepmind/aqua_rat | If (1+k)l=l, which of the following must be true? | A. k=-1 or l=0 B. k=0 or l=0 C. k=1 or l=1 D. k=-1 or l=-1 E. k=0 or l=1 | B. k=0 or l=0 | By only having kl=0, we cannot say answer is B as A and E options also satisfy the condition kl=0. ans B | abstract_algebra | mathematics |
allenai/sciq_8875 | allenai/sciq | What element is an essential part of many molecules needed by living organisms?
A. silicon
B. helium
C. hydrogen
D. nitrogen | D. nitrogen | Nitrogen is an essential part of many molecules needed by living organisms. | high_school_biology | biology | |
NLP4Education_462 | NLP4Education | Tick the \textbf{true} statement.
A. If \( x \in \mathbb{Z}_n^* \) has an order of \( m \), then \( x^i \equiv x^{i \pmod{m}} \pmod{n} \) for all \( i\in \mathbb{Z} \).
B. For all \( x \in \mathbb{Z}_n \), we have \( x^{\varphi(n)}\equiv 1 \pmod{n} \).
C. For all \( n \geq 2 \), \( \mathbb{Z}_n^* \) has order \( n-1 \)... | A. If \( x \in \mathbb{Z}_n^* \) has an order of \( m \), then \( x^i \equiv x^{i \pmod{m}} \pmod{n} \) for all \( i\in \mathbb{Z} \). | abstract_algebra | mathematics | ||
mmlu_aux_train_58000 | mmlu_aux_train | More men are finding their calling as nurses. A new study from the United States Census Bureau reports the number of male nurses has doubled since the l970s.Back then,about 2.7 percent of registered nurses were men.The new study,which tracked data through 2011,finds that men now make up 9.6 percent of all employed ... | B. About 2.7%of registered nurses were men. | high_school_statistics | mathematics | ||
mmlu_aux_train_63442 | mmlu_aux_train | Google Glass, a wearable computer, will not go on sale for many months. But the resistance is already under way. The glasses-like device, which allows users to access the Internet, take photos and shoot videos, has been banned by a bar in Seattle, because according to the bar' owner, the bar was "kind of a private plac... | C. People can take photos without eyeing the objects. | computer_security | computer_science | ||
math_216 | math_mc | A street has 20 houses on each side, for a total of 40 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 4, 10, 16, etc., and on the north side they are 3, 9, 15, etc. A sign painter paints house n... | B | math_Algebra | mathematics | ||
aquarat_6434 | deepmind/aqua_rat | If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.4 SDs from the mean? | A. 13 B. 20 C. 21 D. 22 E. 18 | A. 13 | 2.4 SD's mean is equal to: +/- 2.4*3 = +/- 7.2
ie. 12.8 to 27.2
Answer is: A | high_school_statistics | mathematics |
mmlu_aux_train_48413 | mmlu_aux_train | They may be just passing your office, computer bag slung over one shoulder. Or they may be sitting in a car outside it, causally tapping away at a laptop. They look like innocent passers-by. In fact, they are stealing your corporate secrets. Drive-by hacking is the trendy term given to the practice of breaking into w... | C. were exposed to drive-by hacking | computer_security | computer_science | ||
NLP4Education_258 | NLP4Education | Which of the following statements regarding topic models is false?
A. Topic models map documents to dense vectors
B. LDA assumes that each document is generated from a mixture of topics with a probability distribution
C. Topics can serve as features for document classification
D. In LDA, topics are modeled as dis... | D. In LDA, topics are modeled as distributions over documents | college_computer_science | computer_science | ||
allenai/sciq_6672 | allenai/sciq | What is the main element in organic compounds?
A. nitrogen
B. oxygen
C. carbon
D. hydrogen | C. carbon | Carbon is the main element in organic compounds. Carbon can form stable bonds with many elements, including itself. | high_school_biology | biology | |
aquarat_67355 | deepmind/aqua_rat | Which of the following can be a perimeter w of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100 | A. I only B. III only C. II and III only D. I, II, and III E. Not I, II, or III | D. I, II, and III | Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: w>0.
Answer... | college_mathematics | mathematics |
math_831 | math_mc | A circular cylindrical post with a circumference of 4 feet has a string wrapped around it, spiraling from the bottom of the post to the top of the post. The string evenly loops around the post exactly four full times, starting at the bottom edge and finishing at the top edge. The height of the post is 12 feet. What is ... | D | math_Geometry | mathematics | ||
mmlu_aux_train_57719 | mmlu_aux_train | Experiments aboard the spaceship Columbia have disproved a theory on the human nervous system which won an Austrian professor a Nobel prize 79 years ago. West German astronaut Ulf Merbold disproved the theory during tests aboard the spaceship yesterday. His discovery is connected with the workings of the inner ear, the... | D. prove the theory | clinical_knowledge | biology | ||
allenai/sciq_11649 | allenai/sciq | Which type of animal creates useful substances such as honey, wax, lacquer, and silk?
A. spiders
B. insects
C. fungus
D. bacteria | B. insects | Insects produce useful substances, such as honey, wax, lacquer, and silk. | high_school_biology | biology | |
mmlu_aux_train_93798 | mmlu_aux_train | The abundance of a mineral at the surface of Earth most likely depends upon the
A. climate of a particular region.
B. types of elements available in the crust.
C. thicknesses of nearby rock layers.
D. exposure of the elements to the environment. | B. types of elements available in the crust. | college_earth_science | earth_science | ||
math_780 | math_mc | $ABCD$, a rectangle with $AB = 12$ and $BC = 16$, is the base of pyramid $P$, which has a height of $24$. A plane parallel to $ABCD$ is passed through $P$, dividing $P$ into a frustum $F$ and a smaller pyramid $P'$. Let $X$ denote the center of the circumsphere of $F$, and let $T$ denote the apex of $P$. If the volume ... | D | math_Geometry | mathematics | ||
math_573 | math_mc | Ben twice chooses a random integer between 1 and 50, inclusive (and he may choose the same integer both times). What is the probability that at least one of the numbers Ben chooses is a multiple of 3? | B | math_Counting & Probability | mathematics | ||
math_449 | math_mc | In a group of nine people each person shakes hands with exactly two of the other people from the group. Let $N$ be the number of ways this handshaking can occur. Consider two handshaking arrangements different if and only if at least two people who shake hands under one arrangement do not shake hands under the other ar... | B | math_Counting & Probability | mathematics | ||
math_1487 | math_mc | The asymptotes of a hyperbola are $y = x + 1$ and $y = 3 - x.$ Also, the hyperbola passes through $(3,3).$ Find the distance between the foci of the hyperbola. | C | math_Intermediate Algebra | mathematics | ||
NLP4Education_56 | NLP4Education | Consider a classification problem using either SVMs or logistic regression and separable data. For logistic regression we use a small regularization term (penality on weights) in order to make the optimum welldefined. Consider a point that is correctly classified and distant from the decision boundary. Assume that we m... | C. No change for SVMs and a small change for logistic regression. | machine_learning | computer_science | ||
NLP4Education_304 | NLP4Education | Consider a Generative Adversarial Network (GAN) which successfully produces images of goats. Which of the following statements is false?
A. The discriminator can be used to classify images as goat vs non-goat.
B. The generator aims to learn the distribution of goat images.
C. After the training, the discriminator loss ... | A. The discriminator can be used to classify images as goat vs non-goat. | machine_learning | computer_science | ||
mmlu_aux_train_46425 | mmlu_aux_train | China has announced it's abolishing its one-child policy. What difference has it made, statistically speaking? 400 million births prevented The one-child policy, officially in place since 1979, has prevented 400 million births. Parents have faced fines and other punishments for having more children. The majority of the... | B. In the 1980s. | high_school_statistics | mathematics | ||
pythonio_440 | pythonio-mc | Program:
def sort_dict_item(test_dict):
res = {key: test_dict[key] for key in sorted(test_dict.keys(), key = lambda ele: ele[1] * ele[0])}
return (res)
Input:
sort_dict_item({(5, 6) : 3, (2, 3) : 9, (8, 4): 10, (6, 4): 12} )
Output: | B | code | computer_science | ||
aquarat_57729 | deepmind/aqua_rat | Median W of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000. | A. 38000 B. 47000 C. 48000 D. 51,000 E. 56,000 | E. 56,000 | Median of the car is 52,000 therefore 52,000 is the middle number. Assuming Y >= X, X will have to be the median value i.e. 52,000. Therefore the remaining value would have to be between 52,000 and 57,000 inclusive. The only answer choice that fits is W=56,000.E | high_school_statistics | mathematics |
NLP4Education_732 | NLP4Education | Tick all correct answers:
A. Fuzz testing can efficiently test programs with thousands of lines of code.
B. Formal verification is typically applied to systems with millions of lines of code.
C. Concolic execution scales better than compiler warnings for large codebases.
D. Compiler warnings can handle codebases with m... | D. Compiler warnings can handle codebases with millions of lines. | computer_security | computer_science | ||
math_591 | math_mc | Jane and her brother each spin this spinner once. The spinner has five congruent sectors. If the non-negative difference of their numbers is less than 3, Jane wins. Otherwise, her brother wins. What is the probability that Jane wins? Express your answer as a common fraction.
[asy]
size(101);
draw(scale(2)*unitcircle);... | B | math_Counting & Probability | mathematics | ||
aquarat_51588 | deepmind/aqua_rat | For a certain exam,a score of 86 was 7 standard deviations below mean and a score of 90 was 3 standard deviations above mean.What was the mean score for the exam? | A. 86.25 B. 84 C. 85 D. 88.8 E. 80 | D. 88.8 | Mean-7SD=86
Mean+3SD=90
By solving above equations we get,
SD (absolute value)=0.4
Mean=88.8
ANS. D | high_school_statistics | mathematics |
NLP4Education_121 | NLP4Education | Why is XML a document model?
A. It allows for hierarchical structuring of data
B. It has a serialized representation
C. It enforces strict data typing
D. It uses only predefined tags | B. It has a serialized representation | high_school_computer_science | computer_science | ||
aquarat_85661 | deepmind/aqua_rat | CX, EV, GT, IR, ? | A. JH B. UU C. KP D. UY E. IS | C. KP | ANSWER:C | formal_logic | mathematics |
aquarat_24447 | deepmind/aqua_rat | Prove the theorem, due to Kraitchik, asserting that 13|2^70+3^70 | A. 1^70+3^70 == 0 (mod 13), or 1|2^70+3^70 B. 2 C. 1 D. 2^70+3^70 == 0 (mod 13), or 13|2^70+3^70 E. 1 | D. 2^70+3^70 == 0 (mod 13), or 13|2^70+3^70 | By Fermat's theorem we have 2^12 == 1 (mod 13), hence 2^60 == 1 (mod 13), and since 2^5 == 6 (mod 13), which implies 2^10 == -3 (mod 13), we get 2^70 == -3 (mod 13). On the other hand, 3^3 == 1 (mod 13), hence 3^69 == 1 (mod 13) and 3^70 == 3 (mod 13). Therefore 2^70+3^70 == 0 (mod 13), or 13|2^70+3^70, which was to be... | abstract_algebra | mathematics |
allenai/sciq_11503 | allenai/sciq | What is the force pushing a rocket called?
A. thrust
B. friction
C. momentum
D. direction | A. thrust | Most halogens have a variety of important uses. A few are described in the Table below . | conceptual_physics | physics | |
math_1218 | math_mc | A sequence of integers is defined as follows: $a_i = i$ for $1 \le i \le 5,$ and
\[a_i = a_1 a_2 \dotsm a_{i - 1} - 1\]for $i > 5.$ Evaluate $a_1 a_2 \dotsm a_{2011} - \sum_{i = 1}^{2011} a_i^2.$ | D | math_Intermediate Algebra | mathematics | ||
math_385 | math_mc | If $x + 2y= 4$ and $xy = -8$, what is the value of $x^2 + 4y^2$? | C | math_Algebra | mathematics | ||
allenai/sciq_10835 | allenai/sciq | The process of making a polymer is called what?
A. fermentation
B. reaction
C. polymerization
D. memorization | C. polymerization | This long, almost nonstop molecule is called a polymer (from the Greek meaning “many parts”). The original part—ethylene—is called the monomer (meaning “one part”). The process of making a polymer is called polymerization. A polymer is an example of a macromolecule, the name given to a large molecule. Simple polymers a... | high_school_chemistry | chemistry | |
mmlu_aux_train_5067 | mmlu_aux_train | Father's Day may be over in the United States, but animal dads are still hard at work. From penguins to catfish , some animal fathers play a big part in raising their babies. "Seahorses are possibly the best example of fathers caring for their young in the animal world," said Heather Masonjones, a biologist at the... | D. Four. | high_school_biology | biology | ||
pythonio_309 | pythonio-mc | Program:
def even_Power_Sum(n):
sum = 0;
for i in range(1,n + 1):
j = 2*i;
sum = sum + (j*j*j*j);
return sum;
Input:
even_Power_Sum(2)
Output: | A | code | computer_science | ||
aquarat_94774 | deepmind/aqua_rat | A committee that includes 12 members is about to be divided into 3 subcommittees with 4 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member? | A. 39% B. 35% C. 31% D. 27% E. 23% | D. 27% | Michael is a member of one of the subcommittees.
P(Annie is on the same subcommittee) = 3/11 which is about 27%.
The answer is D. | college_mathematics | mathematics |
pythonio_867 | pythonio-mc | Program:
def super_seq(X, Y, m, n):
if (not m):
return n
if (not n):
return m
if (X[m - 1] == Y[n - 1]):
return 1 + super_seq(X, Y, m - 1, n - 1)
return 1 + min(super_seq(X, Y, m - 1, n), super_seq(X, Y, m, n - 1))
Input:
super_seq("feek", "eke", 4, 3)
Output: | A | code | computer_science | ||
mmlu_aux_train_8970 | mmlu_aux_train | Last night's meteor shower left many people in the community dissatisfied and demanding answers. According to Gabe Rothschild, Emerald Valley's mayor, people gathered in the suburbs of the city, carrying heavy telescopes, expecting to watch the brightly burning meteors passing through the sky. What they found instead... | A. the city's lights affected the meteor watching | astronomy | physics | ||
allenai/sciq_3139 | allenai/sciq | What are electromagnetic waves created by?
A. Static Charges
B. particle charges
C. gravitational charges
D. oscillating charges | D. oscillating charges | 24.2 Production of Electromagnetic Waves • Electromagnetic waves are created by oscillating charges (which radiate whenever accelerated) and have the same frequency as the oscillation. • Since the electric and magnetic fields in most electromagnetic waves are perpendicular to the direction in which the wave moves, it i... | conceptual_physics | physics | |
mmlu_aux_train_49116 | mmlu_aux_train | In Los Angeles, drivers spend sixty-one hours every year stuck in traffic.These drivers know all too well how bad the traffic can be."There're too many cars, and you can't move around a lot." Professor Cyrus Shahabi also knows about traffic jams.He lives more than 65 kilometers from his office at the University of Sout... | D. raise the topic | high_school_computer_science | computer_science | ||
math_1043 | math_mc | Quadrilateral $ABCD$ has right angles at $B$ and $C$, $\triangle ABC \sim \triangle BCD$, and $AB > BC$. There is a point $E$ in the interior of $ABCD$ such that $\triangle ABC \sim \triangle CEB$ and the area of $\triangle AED$ is $17$ times the area of $\triangle CEB$. What is $\tfrac{AB}{BC}$?
$\textbf{(A) } 1+\sqrt... | A | math_Geometry | mathematics | ||
mmlu_aux_train_1316 | mmlu_aux_train | Bees can see wavelengths of only yellow, blue, and ultraviolet light. Many plant flowers consist of yellow, blue, and ultraviolet markings that are near the center of the flower. Which sentence describes which organisms benefit from this and explains why?
A. Only plants benefit, because bees are unable to reach a food... | D. Both bees and plants benefit, because bees find food and plants are aided in reproduction. | high_school_biology | biology | ||
mmlu_aux_train_98087 | mmlu_aux_train | During cellar respiration I might find myself with
A. candy
B. natural face water
C. magic
D. time travel powers | B. natural face water | high_school_biology | biology | ||
math_1439 | math_mc | If $p, q,$ and $r$ are three non-zero integers such that $p + q + r = 26$ and\[\frac{1}{p} + \frac{1}{q} + \frac{1}{r} + \frac{360}{pqr} = 1,\] compute $pqr$.
| C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_28706 | mmlu_aux_train | TWO deer jumped out in front of 16-year-old Amanda Floyd's car. She stepped on the brakes . and stopped just in time. But then she started texting. Distracted , Amanda turned left and right, then crashed into another car. Luckily she wasn't in a real car. She was in a driving simulator at Roosevelt High School, Ohio, U... | B. help students understand the dangers of distracted driving | high_school_computer_science | computer_science | ||
pythonio_574 | pythonio-mc | Program:
def number_ctr(str):
number_ctr= 0
for i in range(len(str)):
if str[i] >= '0' and str[i] <= '9': number_ctr += 1
return number_ctr
Input:
number_ctr('program2bedone')
Output: | A | code | computer_science | ||
NLP4Education_233 | NLP4Education | You are in $D$-dimensional space and use a KNN classifier with $k=1$. You are given $N$ samples and by running experiments you see that for most random inputs $\mathbf{x}$ you find a nearest sample at distance roughly $\delta$. You would like to decrease this distance to $\delta / 2$. How many samples will you likely n... | A. $2^D N$ | machine_learning | computer_science | ||
NLP4Education_399 | NLP4Education | Let $(e,N)$ be the public parameters of the RSA cryptosystem. What is the advantage of taking a \emph{small} value for $e$?
A. The complexity of the parameters generation is smaller.
B. The complexity of the encryption step is smaller.
C. The complexity of the decryption step is smaller.
D. The whole system is stronger... | B. The complexity of the encryption step is smaller. | computer_security | computer_science | ||
mmlu_aux_train_84728 | mmlu_aux_train | What should you take in with you when you take an exam? Pen, pencil, eraser, ruler..., and don't forget a bottle of water! According to a study at the British Psychological ( ) Society Annual Conference held in London, students who bring water into exams may improve their grades by up to 10 percent. Scientists at the U... | C. By10%. | high_school_statistics | mathematics | ||
mmlu_aux_train_79432 | mmlu_aux_train | In our town, there is a big zoo with a lot of animals in it. There are some beautiful tigers and two old lions. They eat a lot of meat every day. There are also two big elephants and one baby elephant. The elephants are kind animals. They eat a lot every day. They like children. Children often give them bread and banan... | C. Elephants. | high_school_biology | biology | ||
NLP4Education_216 | NLP4Education | Let $\xv, \wv, \deltav \in \R^d$, $y \in \{-1, 1\}$, and $\varepsilon \in \R_{>0}$ be an arbitrary positive value. Which of the following is NOT true in general:
A. $\argmax_{\|\deltav\|_2 \leq \varepsilon} \log_2(1 + \exp(-y\, \wv^\top (\xv + \deltav))) = \argmax_{\|\deltav\|_2 \leq \varepsilon} \exp(-y\, \wv^\top (\x... | C. $\argmax_{\|\deltav\|_2 \leq \varepsilon} \log_2(1 + \exp(-y\, \wv^\top (\xv + \deltav))) = \argmax_{\|\deltav\|_2 \leq \varepsilon} \mathbf{1}_{y\, \wv^\top (\xv + \deltav) \leq 0}$ | machine_learning | computer_science | ||
math_682 | math_mc | A fair coin is flipped $7$ times. What is the probability that at least $5$ consecutive flips come up heads? | D | math_Counting & Probability | mathematics | ||
allenai/sciq_6328 | allenai/sciq | The bottoms—but not the tops—of the wave slow down because of what?
A. temperature
B. friction
C. size
D. vibration | B. friction | In shallow water close to shore, waves start to drag on the bottom of the water. The bottoms—but not the tops—of the wave slow down because of friction. This causes the waves to steepen until they break and fall over, carrying water onto the shore as surf. | conceptual_physics | physics | |
allenai/sciq_5093 | allenai/sciq | The energy of a wave depends on time as well as what other property of the wave?
A. force
B. power
C. amplitude
D. frequency | C. amplitude | The energy effects of a wave depend on time as well as amplitude. For example, the longer deep-heat ultrasound is applied, the more energy it transfers. Waves can also be concentrated or spread out. Sunlight, for example, can be focused to burn wood. Earthquakes spread out, so they do less damage the farther they get f... | conceptual_physics | physics | |
mmlu_aux_train_58640 | mmlu_aux_train | The inventor of the world wide web,Tim BernersLee,has won an important award which comes with a prize bag of one million euros (PS671,000).The "Father of the Web" was named as the first winner of the Millennium Technology Prize by the Finnish Technology Award Foundation.He said he had just been "in the right place at t... | A. became the first person to receive the Millennium Technology Prize | college_computer_science | computer_science | ||
allenai/sciq_1985 | allenai/sciq | Some metals, such as gold and platinum, do not corrode easily because they are very resistant to what?
A. precipitation
B. evaporation
C. oxidation
D. heat | C. oxidation | Some metals, such as gold and platinum, do not corrode easily because they are very resistant to oxidation by common substances. Some other metals begin to be oxidized, but are further protected from additional corrosion by a coating formed on the surface. Aluminum reacts with oxygen to form aluminum oxide, which remai... | high_school_chemistry | chemistry | |
pythonio_796 | pythonio-mc | Program:
def div_of_nums(nums,m,n):
result = list(filter(lambda x: (x % m == 0 and x % n == 0), nums))
return result
Input:
div_of_nums([10,15,14,13,18,12,20],10,5)
Output: | A | code | computer_science | ||
math_909 | math_mc | A quadrilateral that has consecutive sides of lengths $70,90,130$ and $110$ is inscribed in a circle and also has a circle inscribed in it. The point of tangency of the inscribed circle to the side of length 130 divides that side into segments of length $x$ and $y$. Find $|x-y|$.
$\text{(A) } 12\quad \text{(B) } 13\qua... | B | math_Geometry | mathematics | ||
pythonio_502 | pythonio-mc | Program:
from itertools import groupby
def consecutive_duplicates(nums):
return [key for key, group in groupby(nums)]
Input:
consecutive_duplicates([0, 0, 1, 2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 9, 4, 4 ])
Output: | D | code | computer_science | ||
NLP4Education_763 | NLP4Education | Let $\mathcal{C}$ be the $(6,3)$ linear code on $\mathbb{F}_3$ whose parity-check matrix is
\[
H = \begin{pmatrix}
2 & 0 & 1 & 1 & 1 & 0 \\
1 & 2 & 0 & 0 & 1 & 1 \\
0 & 0 & 0 & 1 & 1 & 1
\end{pmatrix}.
\]
True or false: The sequence $\mathbf{y} = 111000$ is a codeword of $\mathcal{C}$.
A. True
B. False
C. Only if the ... | A. True | college_mathematics | mathematics | ||
aquarat_70042 | deepmind/aqua_rat | Ace Transport has acquired two trucks to carry different types of cargo. One costs $70,000; the other costs $52,000. The company expects that the first will last 165,000 miles, after which it can be sold for salvage for about $4,000. The other will fetch the same salvage price, but will last 200,000 miles. The two truc... | A. 87,500 miles B. 100,000 miles C. 107,750 miles D. 112,500 miles E. The residual values will never be equal. | D. 112,500 miles | Truck 1 : 70,000 = m1 * 165,000 + 4,000 , where m1 is the depreciation $ per mile
Solve for m1 = 0.4
So the depreciation line for Truck 1 is y = 0.4 x + 4,000 , where y is in dollars and x is in mileage.
Similarly for Truck 2 : 52,000 = m2 * 200,000 + 4,000
and this gives m2 = 0.24
and similar line for Truck 2 is y = 0... | college_mathematics | mathematics |
mmlu_aux_train_22053 | mmlu_aux_train | Watch out, Yahoo.There's a search engine out there with super speed and accuracy.It's really cool. Google is the Web's largest search engine.In just two years it has gained a fame for surprising speed and accuracy, sending exactly what you're looking for in a second.The site now does this 40 million times a day--a numb... | B. Google. | high_school_computer_science | computer_science | ||
math_815 | math_mc | Square $ABCD$ has side length $1$ unit. Points $E$ and $F$ are on sides $AB$ and $CB$, respectively, with $AE = CF$. When the square is folded along the lines $DE$ and $DF$, sides $AD$ and $CD$ coincide and lie on diagonal $BD$. The length of segment $AE$ can be expressed in the form $\sqrt{k}-m$ units. What is the ... | C | math_Geometry | mathematics | ||
aquarat_93122 | deepmind/aqua_rat | if someone is ‘confounded’ means – he is puzzled, confused, bewildered stunned and ‘baffled’. Ask doubt using Question Id: 6320 | A. 21 B. 87 C. 278 D. 277 E. 261 | C. 278 | Answer:C | formal_logic | mathematics |
allenai/sciq_3646 | allenai/sciq | What are the organized instructions within dna for making proteins called?
A. genomes
B. replicants
C. clones
D. genes | D. genes | The DNA of a chromosome is encoded with genetic instructions for making proteins. These instructions are organized into units called genes . Most genes contain the instructions for a single protein. There may be hundreds or even thousands of genes on a single chromosome. | college_biology | biology | |
allenai/sciq_3170 | allenai/sciq | During the scientific revolution, who proposed that the sun, not earth, is the center of the solar system?
A. copernicus
B. Galileo
C. janus
D. Newton | A. copernicus | The Scientific Revolution occurred in Europe. This was the beginning of modern Western science. Many scientific advances were made during this time. Copernicus proposed that the sun, not Earth, is the center of the solar system. | astronomy | physics | |
allenai/sciq_6665 | allenai/sciq | What term is used to describe an illusion that light from faraway objects is reflected by a pool of water that is not really there?
A. version
B. Mirror
C. mirage
D. prototype | C. mirage | The most common type of mirage is an illusion that light from faraway objects is reflected by a pool of water that is not really there. Mirages are generally observed in deserts, when there is a hot layer of air near the ground. Given that the refractive index of air is lower for air at higher temperatures, explain how... | college_physics | physics | |
math_269 | math_mc | Let $p(x)$ be defined on $2 \le x \le 10$ such that $$p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}$$ where $y$ is the greatest prime factor of $\lfloor x\rfloor.$ Express the range of $p$ in interval notation. | C | math_Algebra | mathematics | ||
allenai/sciq_7514 | allenai/sciq | What do you call a close relationship between two species that benefits both?
A. symbiotic relationship
B. commensalism
C. primordial relationship
D. parasitic relationship | A. symbiotic relationship | Many fungi get organic compounds from living organisms. They have close relationships with other species. A close relationship between two species is called a symbiotic relationship. Two symbiotic relationships in fungi are mycorrhiza and lichen. These relationships are beneficial for both species. | college_biology | biology | |
aquarat_4836 | deepmind/aqua_rat | A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 7/8; circuit th... | A. 9/80 B. 3/10 C. 387/800 D. 35/80 E. 497/800 | C. 387/800 | The first circuit doesn't matter.
Prob(relay fails) = 1 - Prob(relay succeeds)
Prob(2+3 work) = 1 - 21/80 = 59/80
Prob(4+5 work) = 1 - 3/10 = 7/10
Prob(relay fails) = 1 - Prob(2+3 work AND 4+5 work) = 1 - (59/80)(7/10) = 1 - 413/800 = 387/800
C | college_mathematics | mathematics |
NLP4Education_584 | NLP4Education | Let $p$ be a prime number. What is the cardinality of $\mathbf{Z}_p$?
A. $p$
B. $p-1$
C. $\varphi(p)$
D. $\varphi(p-1)$ | A. $p$ | abstract_algebra | mathematics | ||
pythonio_582 | pythonio-mc | Program:
def get_Pairs_Count(arr,n,sum):
count = 0
for i in range(0,n):
for j in range(i + 1,n):
if arr[i] + arr[j] == sum:
count += 1
return count
Input:
get_Pairs_Count([1,1,1,1],4,2)
Output: | B | code | computer_science | ||
mmlu_aux_train_88356 | mmlu_aux_train | It keeps your insides from falling out. It helps you warm up when you are cold, and it can cool you off when you are hot. It lets you feel things by touch. What is this? Your skin , of course! What does you skin ask for return for all the wonderful things it does? Just a little care! So let's learn how to take care of... | D. Healthy and happy skin. | high_school_biology | biology |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.