id stringlengths 6 20 | source stringclasses 6
values | instruction stringlengths 11 5.18k | input stringlengths 0 306 | output stringlengths 1 308 | rationale stringlengths 0 2.9k | subject stringclasses 39
values | category stringclasses 7
values |
|---|---|---|---|---|---|---|---|
mmlu_aux_train_96741 | mmlu_aux_train | A person notes that the moon goes through various phases and eventually repeats these phases over the course of
A. every other new month
B. about six more days
C. just over a month
D. just under a month | D. just under a month | astronomy | physics | ||
mmlu_aux_train_61791 | mmlu_aux_train | In a world as fast-changing and full of information as our own, all of us need to know how to learn well. Yet evidence suggests that most of us don't use the learning techniques that science has proved the most effective. The scientific literature evaluating these techniques goes back to decades and across thousands of... | A. By analyzing the materials gathered in the past years. | formal_logic | mathematics | ||
mmlu_aux_train_20605 | mmlu_aux_train | When the Farnsworth family moved to their new farm in 1919, eleven-year-old Philo was surprised to find it wired for electricity. This unusual circumstance contributed to his fate -- to become an important inventor of the twentieth century. By thirteen, Farnsworth had become a self-taught electrical engineer. He was ab... | D. had shown a surprising ability in the electrical field | electrical_engineering | engineering | ||
mmlu_aux_train_1460 | mmlu_aux_train | Which of the following is an example of how insects are beneficial to humans?
A. Insects can spread diseases.
B. Insects have short life spans.
C. Insects pollinate flowering plants.
D. Insects sometimes eat poisonous plants. | C. Insects pollinate flowering plants. | high_school_biology | biology | ||
aquarat_19448 | deepmind/aqua_rat | For which of the following functions is f(z+b)=f(z)+f(b) for all positive numbers z and b? | A. a) f(x)=x^2 B. b) f(x)=x+1 C. c) f(x)=root x D. d) f(x)=2/x E. e) f(x)= -3x | E. e) f(x)= -3x | f(z+b)=f(z)+f(b) Its E | college_mathematics | mathematics |
allenai/sciq_9843 | allenai/sciq | Light can be used to eject what from a solid material?
A. electrons
B. protons
C. calories
D. neutrons | A. electrons | Under the right conditions, light can be used to eject electrons from a solid material. | college_physics | physics | |
aquarat_84566 | deepmind/aqua_rat | A pack of “Jameson's” cigarettes contains 20 cigarettes, of which 2 to 5 cigarettes (randomly) are defective. What are the greatest possible chances of picking a non-defective cigarette? | A. 0.1 B. 0.25 C. 0.5 D. 0.75 E. 0.9 | E. 0.9 | greatest chance of picking a non defective will exist when defective pieces are least = 2
greatest chance = (18/20) = 0.9
Answer: Option E | high_school_statistics | mathematics |
mmlu_aux_train_95051 | mmlu_aux_train | If a glacier going past a dock brushed up against some large boulders there, the stones would
A. have gouges
B. have stains
C. be frozen
D. be dirty | A. have gouges | conceptual_physics | physics | ||
mmlu_aux_train_97897 | mmlu_aux_train | What requires nutrients to grow and heal, and use a bill type instrument to process them?
A. metals
B. dirt
C. birds
D. bear | C. birds | high_school_biology | biology | ||
pythonio_783 | pythonio-mc | Program:
def min_difference(test_list):
temp = [abs(b - a) for a, b in test_list]
res = min(temp)
return (res)
Input:
min_difference([(3, 5), (1, 7), (10, 3), (1, 2)])
Output: | B | code | computer_science | ||
math_1537 | math_mc | For how many integer values of $n$ between 1 and 474 inclusive does the decimal representation of $\frac{n}{475}$ terminate? | B | math_Number Theory | mathematics | ||
allenai/sciq_11467 | allenai/sciq | What is calculated by subtracting the smallest value from the largest value?
A. the range
B. the sample
C. the median
D. the density | A. the range | The range is the total spread of values. It gives you an idea of the variation in the measurements. The range is calculated by subtracting the smallest value from the largest value. For the data in Table above , the range in numbers of vehicles by type is: 150 - 50 = 100. | high_school_statistics | mathematics | |
math_2218 | math_mc | Solve
\[\arcsin x + \arcsin 2x = \frac{\pi}{3}.\] | B | math_Precalculus | mathematics | ||
math_1205 | math_mc | Consider the following function $g(x)$ defined as\[(x^{2^{2008}-1}-1)g(x) = (x+1)(x^2+1)(x^4+1)\cdots (x^{2^{2007}}+1) - 1\]Find $g(2)$.
| B | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_2636 | mmlu_aux_train | Using the Internet for a research paper can help a student find many resources. One problem with using information on the Internet is that it might be
A. free.
B. current.
C. detailed.
D. incorrect. | D. incorrect. | high_school_computer_science | computer_science | ||
math_504 | math_mc | Forty cards are placed into a box, each bearing a number 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, with each number entered on four cards. Four cards are drawn from the box at random and without replacement. Let $p$ be the probability that all four cards bear the same number. Let $q$ be the probability that three of the cards ... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_59261 | mmlu_aux_train | Only three local students won Chinese Blog Competition. And 15 of the 18 awards went to students from China. 170 students' task: to get a fully-designed blog up and running, complete with many postings based on a theme of choice--all written in Chinese. Themes ranged from local opinions-such as the usage of Singlish, e... | D. Innova Junior College | high_school_computer_science | computer_science | ||
NLP4Education_756 | NLP4Education | Let $K = (K_1, K_2,..., K_n)$, where each $K_i$ is $0$ or $1$ with probability $1/2$. Let $K'=(K'_1, K'_2, ..., K'_n)$ such that, for each $i$, $K'_i \in \{0, 1\}$ and $K'_{i} = \sum_{j = 1}^i K_j \pmod{8}.$ True or false: Using $K'$ as the key one can achieve perfect secrecy if the message is $n$ bits.
A. True
B. Fals... | A. True | formal_logic | mathematics | ||
mmlu_aux_train_2139 | mmlu_aux_train | A town built a road through a forest. Deer live in the forest on both sides of the road. Which would not help protect deer from the cars on the road?
A. feeders on the side of the road
B. lights along the side of the road
C. signs telling drivers to be careful of deer
D. bridges that let the deer walk under the road | A. feeders on the side of the road | high_school_biology | biology | ||
allenai/sciq_9351 | allenai/sciq | A gene may have different versions called what?
A. locus
B. genomes
C. peptides
D. alleles | D. alleles | Traits are controlled by genes on chromosomes. A gene may have different versions called alleles. | high_school_biology | biology | |
allenai/sciq_10662 | allenai/sciq | What are the sporophytes in ferns?
A. leafy plants
B. cycles
C. spores
D. leaves | A. leafy plants | high_school_biology | biology | ||
mmlu_aux_train_88690 | mmlu_aux_train | In today's class, we'll learn how to send birthday e-cards to friends anywhere in the world without leaving our classroom. I'll show it to you on 123 Greetings, which is one of the most popular e-card websites. Step 1: Surf the Internet and go to 123 Greetings. Click "Happy Birthday" Step 2: Make your e-card. After c... | C. Five | high_school_computer_science | computer_science | ||
math_1530 | math_mc | What is the greatest integer less than or equal to\[\frac{3^{100}+2^{100}}{3^{96}+2^{96}}?\]
$\textbf{(A) }80\qquad \textbf{(B) }81 \qquad \textbf{(C) }96 \qquad \textbf{(D) }97 \qquad \textbf{(E) }625\qquad$
| D | math_Number Theory | mathematics | ||
aquarat_50535 | deepmind/aqua_rat | n∑n=1 1/log2n(a) =? | A. n(n + 1)/2 loga2 B. n(n - 1)/2 log2a C. n(n + 1)2n2/4 loga2 D. n(n + 1)2n2/4 loga3 E. None of these | A. n(n + 1)/2 loga2 | n∑n=11/log2n(a) = n∑n=1loga(2n)
=n∑n=1nloga2
=n(n + 1)/2 loga2
ANSWER:A | college_mathematics | mathematics |
mmlu_aux_train_85063 | mmlu_aux_train | In 2004, three young men went to a dinner party in San Francisco. Afterward ,they wanted to share a video from the party with their friends. They wanted to send it over the Internet. But at the time, the process of sharing videos that way was difficult. Using e-mail did not work and the friends complained that there,... | B. Over 70,000 filmmakers are not professionals. | high_school_computer_science | computer_science | ||
NLP4Education_13 | NLP4Education | Select valid answers about file descriptors (FD):
A. The value of FD is unique for every file in the operating system.
B. FD is constructed by hashing the filename.
C. FD is usually used as an argument for read and write.
D. FDs are destroyed after fork() and cannot be used in the child process. | C. FD is usually used as an argument for read and write. | computer_security | computer_science | ||
math_850 | math_mc | The triangle shown is an equilateral triangle with side length 12 cm. A side of the triangle is the diameter of the circle. If the sum of the areas of the two small shaded regions in square centimeters in simplest radical form is $a\pi - b\sqrt{c}$, what is $a+b+c$? [asy]
import graph;
size(2inch);
pair A = dir(60);
pa... | A | math_Geometry | mathematics | ||
pythonio_958 | pythonio-mc | Program:
def maximum_segments(n, a, b, c) :
dp = [-1] * (n + 10)
dp[0] = 0
for i in range(0, n) :
if (dp[i] != -1) :
if(i + a <= n ):
dp[i + a] = max(dp[i] + 1,
dp[i + a])
if(i + b <= n ):
dp[i + b] = max(dp[i] + 1,
dp[i + b])
if(i + c <= n ):
dp[i + c] = m... | C | code | computer_science | ||
allenai/sciq_261 | allenai/sciq | In qualitative analysis, reagents are added to an unknown chemical mixture in order to induce what?
A. motion
B. sunlight
C. erosion
D. precipitation | D. precipitation | Selective precipitation can also be used in qualitative analysis. In this method, reagents are added to an unknown chemical mixture in order to induce precipitation. Certain reagents cause specific ions to precipitate out; therefore, the addition of the reagent can be used to determine whether the ion is present in the... | high_school_chemistry | chemistry | |
math_517 | math_mc | The diagram below shows a $4\times4$ rectangular array of points, each of which is $1$ unit away from its nearest neighbors.
[asy] unitsize(0.25inch); defaultpen(linewidth(0.7)); int i, j; for(i = 0; i < 4; ++i) for(j = 0; j < 4; ++j) dot(((real)i, (real)j)); [/asy]
Define a growing path to be a sequence of distinc... | B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_82676 | mmlu_aux_train | The weekend is usually a period of time for resting. But today's Chinese students can hardly rest during the weekend. According to a survey, 25%of the Grade 8 students in Beijing have classes on the weekend. Over 38% of the middle school students have less than eight hours' sleep, because of the hard study. Nan Weitong... | A. 25% | high_school_statistics | mathematics | ||
NLP4Education_266 | NLP4Education | For his awesome research, Tugrulcan is going to use the Pagerank with teleportation and HITS algorithm, not on a network of webpages but on the retweet network of Twitter! The retweet network is a directed graph, where nodes are users and an edge going out from a user A and to a user B means that "User A retweeted User... | C. It will have a pagerank of zero. | college_computer_science | computer_science | ||
mmlu_aux_train_63770 | mmlu_aux_train | Do you know of anyone who uses the truth to deceive ? When someone tells you something that is true, but leaves out important information that should be included, he can give you a false picture. For example, some might say, "I just won a hundred dollars on the lottery . It was great. I took that dollar ticket back t... | A. One hundred dollars. | formal_logic | mathematics | ||
allenai/sciq_6397 | allenai/sciq | Where do radio waves lie on the electromagnetic spectrum?
A. far left
B. top
C. middle
D. far right | A. far left | Courtesy of NASA. Radio waves lie at the far left of the electromagnetic spectrum . Public Domain. | conceptual_physics | physics | |
mmlu_aux_train_23894 | mmlu_aux_train | According to a new US study, couples who expect their children to help care for them in old age should hope they have daughters because they are likely to be twice as attentive overall. The research by Angelina Grigoryeva, a sociologist at Princeton University, found that, while women provide as much care for their eld... | A. Gender. | high_school_biology | biology | ||
allenai/sciq_3775 | allenai/sciq | What type of chloride is a non-volatile material, but does not dissolve in water?
A. pink chloride
B. lead chloride
C. silver chloride
D. yellow chloride | C. silver chloride | Silver chloride is a non-volatile material, but does not dissolve in water. What effect will it have on the vapor pressure of water?. | high_school_chemistry | chemistry | |
NLP4Education_443 | NLP4Education | The Kerckhoffs principle says:
A. Security should not rely on the secrecy of the key.
B. The speed of CPUs doubles every 18 months.
C. Cryptosystems must be published.
D. Security should not rely on the secrecy of the cryptosystem itself. | D. Security should not rely on the secrecy of the cryptosystem itself. | computer_security | computer_science | ||
mmlu_aux_train_94784 | mmlu_aux_train | Which of these provides the best evidence that Earth's crust is divided into tectonic plates?
A. the distribution of water on Earth's surface
B. the distribution of biomes on Earth's surface
C. the distribution of rock types on Earth's surface
D. the distribution of earthquakes on Earth's surface | D. the distribution of earthquakes on Earth's surface | earth_science | earth_science | ||
mmlu_aux_train_99095 | mmlu_aux_train | When the moon, sun, and earth line up, tides are at their
A. lower
B. increased
C. gone away
D. just okay | B. increased | high_school_physics | physics | ||
mmlu_aux_train_95890 | mmlu_aux_train | Decomposition results in the production of which element?
A. Silicon
B. Phosphorus
C. Carbon
D. Hydrogen | C. Carbon | high_school_chemistry | chemistry | ||
math_2110 | math_mc | Find all angles $\theta,$ $0 \le \theta \le 2 \pi,$ with the following property: For all real numbers $x,$ $0 \le x \le 1,$
\[x^2 \cos \theta - x(1 - x) + (1 - x)^2 \sin \theta > 0.\] | D | math_Precalculus | mathematics | ||
mmlu_aux_train_78632 | mmlu_aux_train | Chen Kai is a Chinese boy. He is a student. He is 13 years old. He lives in Guangzhou. Chen Kai likes _ . Now he receives a letter from Sam, his pen pal in America. The letter is in English. Sam is 14 and he is a student, too. He speaks English very well. In the letter, Sam says he wants to visit China and study some ... | A. a student | high_school_computer_science | computer_science | ||
mmlu_aux_train_94760 | mmlu_aux_train | What advantage is gained by using radio telescopes as opposed to optical telescopes?
A. viewed images are clearer
B. operation is less complex
C. ability to see through clouds and dust
D. ability to take up less space | C. ability to see through clouds and dust | astronomy | physics | ||
aquarat_24091 | deepmind/aqua_rat | If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)? | A. f(x) B. 2*f(x) C. 1/f(x) D. -f(x) E. 2/f(x) | D. -f(x) | If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)
answer D | college_mathematics | mathematics |
aquarat_57711 | deepmind/aqua_rat | x is the product of each integer from 1 to 75, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x? | A. 8 B. 7 C. 6 D. 9 E. 10 | D. 9 | The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:
n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n
x = 1*2*3....*75 = 50!
No. of trailing zeros in 75! = 75/5 + 75/5^2 = 15+3 = 18
100^k = 10^2k → k = 18/2 = 9
D | college_mathematics | mathematics |
pythonio_465 | 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([(4, 5), (2,... | D | code | computer_science | ||
mmlu_aux_train_99701 | mmlu_aux_train | Plants are like all other organisms, in that they need what to survive?
A. sustenance
B. shoes
C. games
D. internet | A. sustenance | high_school_biology | biology | ||
aquarat_83097 | deepmind/aqua_rat | At the faculty of Aerospace Engineering, 302 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. 444 B. 432 C. 346 D. 422 E. 448 | D. 422 | 302 + 232 - 112 (since 112 is counted twice )= 422
D is the answer | college_mathematics | mathematics |
allenai/sciq_10523 | allenai/sciq | Magnetism is due to the movement of what within atoms?
A. electrons
B. magnetrons
C. neutrons
D. protons | A. electrons | Magnetism is due to the movement of electrons within atoms of matter. When electrons spin around the nucleus of an atom, it causes the atom to become a tiny magnet, with north and south poles and a magnetic field. In most materials, the electrons orbiting the nuclei of the atoms are arranged in such a way that the mate... | high_school_physics | physics | |
pythonio_29 | pythonio-mc | Program:
def sum_elements(test_tup):
res = sum(list(test_tup))
return (res)
Input:
sum_elements((7, 8, 9, 1, 10, 7))
Output: | C | code | computer_science | ||
pythonio_80 | pythonio-mc | Program:
def string_list_to_tuple(str1):
result = tuple(x for x in str1 if not x.isspace())
return result
Input:
string_list_to_tuple(("python 3.0"))
Output: | D | code | computer_science | ||
aquarat_28126 | deepmind/aqua_rat | An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it? | A. 10hours B. 12hours C. 8hours D. 5hours E. 15hours | B. 12hours | Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12
The leak will empty the tank in 12hours
Answer is B | conceptual_physics | physics |
mmlu_aux_train_45847 | mmlu_aux_train | As a middle school student, you are in an age group that is both fascinating and complex. You are no longer a "baby", but you are not yet an adult. You are experiencing biological, physical, and behavioral and social changes. Relationships with your friends and family take on new meanings. This time period, called adol... | B. adolescent | high_school_biology | biology | ||
allenai/sciq_5915 | allenai/sciq | The ratio of displacement to time interval is the average what?
A. direction
B. speed
C. velocity
D. acceleration | C. velocity | The velocity of an object can be found from a position vs time graph. On a position vs time graph, the displacement is the vertical separation between two points and the time interval is the horizontal separation. The ratio of displacement to time interval is the average velocity. This ratio is also the slope of the li... | high_school_physics | physics | |
math_905 | math_mc | $ABC$ is a triangle: $A=(0,0), B=(36,15)$ and both the coordinates of $C$ are integers. What is the minimum area $\triangle ABC$ can have?
$\textbf{(A)}\ \frac{1}{2} \qquad \textbf{(B)}\ 1 \qquad \textbf{(C)}\ \frac{3}{2} \qquad \textbf{(D)}\ \frac{13}{2}\qquad \textbf{(E)}\ \text{there is no minimum}$
| B | math_Geometry | mathematics | ||
mmlu_aux_train_91445 | mmlu_aux_train | Better think twice before choosing a _ for email, online bank or shopping. Simple passwords are easy to be stolen. A password is like a key to your home. If someone steals it, he'll get chances to steal something else. We use passwords everywhere in our life. We are so used to passwords that we don't pay any attention ... | B. lazy | computer_security | computer_science | ||
mmlu_aux_train_44928 | mmlu_aux_train | Li Mingyang only joined Alibaba's investment platform one month ago but he has already transferred almost all the cash in his bank account - nearly Rmb200,000 ($32,000) - to the online fund. He is far from alone . More than 30 million people in China have signed up to Yu'E Bao, or "Leftover Treasure", only six months... | C. Rmb 1,000 | college_mathematics | mathematics | ||
pythonio_351 | pythonio-mc | Program:
def fifth_Power_Sum(n) :
sm = 0
for i in range(1,n+1) :
sm = sm + (i*i*i*i*i)
return sm
Input:
fifth_Power_Sum(2)
Output: | A | code | computer_science | ||
mmlu_aux_train_97866 | mmlu_aux_train | when the earth's plates grind against each other it can be detected with a
A. tape measure
B. ruler
C. seismograph
D. geiger counter | C. seismograph | earth_science | earth_science | ||
pythonio_209 | pythonio-mc | Program:
def binomial_Coeff(n,k):
C = [0] * (k + 1);
C[0] = 1; # nC0 is 1
for i in range(1,n + 1):
for j in range(min(i, k),0,-1):
C[j] = C[j] + C[j - 1];
return C[k];
def sum_Of_product(n):
return binomial_Coeff(2 * n,n - 1);
Input:
sum_Of_product(4)
Output: | B | code | computer_science | ||
pythonio_318 | pythonio-mc | Program:
def sample_nam(sample_names):
sample_names=list(filter(lambda el:el[0].isupper() and el[1:].islower(),sample_names))
return len(''.join(sample_names))
Input:
sample_nam(["php", "res", "Python", "abcd", "Java", "aaa"])
Output: | D | code | computer_science | ||
math_614 | math_mc | Four packages are delivered to four houses, one to each house. If these packages are randomly delivered, what is the probability that exactly two of them are delivered to the correct houses? Express your answer as a common fraction. | B | math_Counting & Probability | mathematics | ||
allenai/sciq_11577 | allenai/sciq | What is the name of an element with a different number of neutrons?
A. mineral
B. solution
C. isotope
D. reaction | C. isotope | All atoms of the same element have the same number of protons, but some may have different numbers of neutrons. For example, all carbon atoms have six protons, and most have six neutrons as well. But some carbon atoms have seven or eight neutrons instead of the usual six. Atoms of the same element that differ in their ... | high_school_chemistry | chemistry | |
aquarat_86929 | deepmind/aqua_rat | A cylinder is inserted in a sphere d/h = 2/3. Find the surface area of the cylinder ? | A. 23.12 B. 24.12 C. 25.12 D. 26.12 E. 27.12 | C. 25.12 | take r=1, h=3
=2*3.14*r*r+2*3.14*r*h
=2*3.14*r(r+h)
=2*3.14*1(1+3)
=2*3.14(4)
=25.12
ANSWER:C | college_mathematics | mathematics |
NLP4Education_308 | NLP4Education | Let \( f, g: \mathbb{R} \rightarrow \mathbb{R} \) be two convex functions. Then \( h = f \circ g \) is always convex.
A. Always true
B. Always false
C. True if both \( f \) and \( g \) are linear
D. True only if \( f \) is increasing | B. Always false | college_mathematics | mathematics | ||
allenai/sciq_6668 | allenai/sciq | Surface tension comes from the fact that particles at the surface of a liquid do not experience interactions from all directions which leads to what on the surface?
A. waves
B. imbalance of forces
C. floating particles
D. degradation of forces | B. imbalance of forces | Surface tension comes from the fact that particles at the surface of a liquid do not experience interactions from all directions, leading to an imbalance of forces on the surface. Surface tension is responsible for several well-known behaviors of liquids, including water. Liquids with high surface tension tend to bead ... | college_physics | physics | |
mmlu_aux_train_98435 | mmlu_aux_train | Force causes the speed of an object to do what?
A. lessen
B. uptick
C. decrease
D. lower | B. uptick | conceptual_physics | physics | ||
mmlu_aux_train_54809 | mmlu_aux_train | One day newly wedded Nancy lost her ring while helping to plant potatoes. Friends were called and the field was searched long but _ . Later, when the potatoes were harvested, Everyone looked out for the ring but it remained lost. Another year came round and all the farmers working in the field kept their eyes open. The... | D. She lost it while helping to plant potatoes in the field. | abstract_algebra | mathematics | ||
mmlu_aux_train_37761 | mmlu_aux_train | For those who are tired doing the laundry, Samsung has found an answer: a washing machine that can tell you when your laundry is done via a smartphone app(application). Strange though it may seem -- "my wife already does that" was a common response among attendees viewing the device when it was introduced at the Consum... | C. The machine is unrelated to their life. | college_computer_science | computer_science | ||
math_953 | math_mc | Triangle $ABC$ is isosceles with $AC = BC$ and $\angle ACB = 106^\circ.$ Point $M$ is in the interior of the triangle so that $\angle MAC = 7^\circ$ and $\angle MCA = 23^\circ.$ Find the number of degrees in $\angle CMB.$
[asy] pointpen = black; pathpen = black+linewidth(0.7); size(220); /* We will WLOG AB = 2 to draw... | B | math_Geometry | mathematics | ||
mmlu_aux_train_96796 | mmlu_aux_train | This famous mountain range in Europe came about due to
A. rocks floating on underground water sources
B. the work of an intelligent force
C. the folding of numerous layers of rock
D. the accumulation of soil over millions of years | C. the folding of numerous layers of rock | college_geology | earth_science | ||
math_1562 | math_mc | Recall that a perfect square is the square of some integer. How many perfect squares less than 10,000 can be represented as the difference of two consecutive perfect squares? | A | math_Number Theory | mathematics | ||
NLP4Education_695 | NLP4Education | Daemons are just long running processes. When applying mitigations to these processes, several aspects change. Which ones?
A. ASLR becomes less effective as multiple requests across different users are handled in a single process.
B. Stack canaries remain fully effective because threads never reuse stacks.
C. DEP becom... | A. ASLR becomes less effective as multiple requests across different users are handled in a single process. | computer_security | computer_science | ||
mmlu_aux_train_95965 | mmlu_aux_train | What might a person use if a transformer blows at 11 pm?
A. Flashlight
B. Television
C. Laptop
D. Drill | A. Flashlight | electrical_engineering | engineering | ||
mmlu_aux_train_94856 | mmlu_aux_train | A water company uses lab tests on the water supply before sending the water through pipes to people's homes. How do these lab tests help people?
A. by adding minerals and nutrients to the water
B. by checking the water to make sure it is safe to drink
C. by filtering chemicals and organisms out of the water
D. by stop... | B. by checking the water to make sure it is safe to drink | high_school_biology | biology | ||
mmlu_aux_train_27857 | mmlu_aux_train | prefix = st1 /West Virginia--Public schools are using a dance video game to help get students in shape. In these schools, students are often told to turn off their video games and get some exercise. The schools have found a new way for their students to work out while playing a new video game. West Virginiais one of th... | B. Because it can help students get a better shape. | high_school_biology | biology | ||
NLP4Education_62 | NLP4Education | In Text Representation learning, which of the following statements are correct?
A. Learning GloVe vectors can be done using SGD in a streaming fashion, by streaming through the input text only once.
B. Every recommender systems algorithm for learning a matrix factorization $\boldsymbol{W} \boldsymbol{Z}^{\top}$ approxi... | B. Every recommender systems algorithm for learning a matrix factorization $\boldsymbol{W} \boldsymbol{Z}^{\top}$ approximating the observed entries in least square sense does also apply to learn GloVe word vectors. | machine_learning | computer_science | ||
aquarat_11361 | deepmind/aqua_rat | Evaluate permutation
8P8 | A. 40290 B. 40300 C. 40310 D. 40320 E. 40330 | D. 40320 | Explanation:
nPn=n!
8P8=8*7*6*5∗4∗3∗2∗1=40320
Option D | college_mathematics | mathematics |
pythonio_225 | pythonio-mc | Program:
class Pair(object):
def __init__(self, a, b):
self.a = a
self.b = b
def max_chain_length(arr, n):
max = 0
mcl = [1 for i in range(n)]
for i in range(1, n):
for j in range(0, i):
if (arr[i].a > arr[j].b and
mcl[i] < mcl[j] + 1):
mcl[i] = mcl[j] + 1
for i in range(n):
... | A | code | computer_science | ||
mmlu_aux_train_11652 | mmlu_aux_train | "Your first home," Laurence Yep wrote in his book, The Lost Garden, "will always be the one that you remember best. I have been away from it for over twenty years, but I still go back in my dreams." For Yep, whose father came from China, home was an apartment and the family grocery store in a neighborhood of San Franci... | A. Learn to accept your own differences. | high_school_computer_science | computer_science | ||
allenai/sciq_1590 | allenai/sciq | Radiometric dating methods, such as carbon-14 dating depend on what type of decay?
A. nuclear
B. microwave
C. radioactive
D. carbon | C. radioactive | The age of a rock in years is its absolute age. The main evidence for absolute age comes from radiometric dating methods, such as carbon-14 dating. These methods depend on radioactive decay. | college_chemistry | chemistry | |
pythonio_1 | pythonio-mc | Program:
R = 3
C = 3
def min_cost(cost, m, n):
tc = [[0 for x in range(C)] for x in range(R)]
tc[0][0] = cost[0][0]
for i in range(1, m+1):
tc[i][0] = tc[i-1][0] + cost[i][0]
for j in range(1, n+1):
tc[0][j] = tc[0][j-1] + cost[0][j]
for i in range(1, m+1):
for j in range(1, n+1):
tc[i... | B | code | computer_science | ||
mmlu_aux_train_50359 | mmlu_aux_train | Waves are beautiful to look at,but they can destroy ships at sea,as well as houses and buildings near the shore.What causes waves? Most waves are caused by winds blowing over the surface of the water.The sun heats the earth,causing the air to rise and the winds to blow.The winds blow across the sea,pushing little waves... | A. at sea | conceptual_physics | physics | ||
math_996 | math_mc | The six edges of a tetrahedron $ABCD$ measure $7, 13, 18, 27, 36$ and $41$ units. If the length of edge $AB$ is $41$, then the length of edge $CD$ is
$\textbf{(A)}\ 7\qquad \textbf{(B)}\ 13\qquad \textbf{(C)}\ 18\qquad \textbf{(D)}\ 27\qquad \textbf{(E)}\ 36$
| A | math_Geometry | mathematics | ||
pythonio_666 | pythonio-mc | Program:
def clear_tuple(test_tup):
temp = list(test_tup)
temp.clear()
test_tup = tuple(temp)
return (test_tup)
Input:
clear_tuple((3, 2, 5, 6, 8))
Output: | A | code | computer_science | ||
mmlu_aux_train_78143 | mmlu_aux_train | Years ago, as we know, zoos kept animals in cages. Cages made it easy for visitors to see the animals, but a small cage is not a good place for an animal to live in. Today animals live in open areas. There are usually plants and a little lake around, like the animals' habitats. Visitors usually stay in the bus to see t... | B. see them better | high_school_biology | biology | ||
aquarat_97371 | deepmind/aqua_rat | For which of the following functions f is f(y) = f(1-y) for all y? | A. f (x) = 1 - x B. f (x) = 1 - x^2 C. f (y) = y^2 - (1 - y)^2 D. f (y) = y^2*(1 - y)^2 E. f (y) = y/(1 - y) | D. f (y) = y^2*(1 - y)^2 | I remember seeing this problem in a GMATprep test. I think choice D should be F(y)=(y^2) (1-y)^2. If that is true then substituting (1-y) for will give us the same function back and the answer choice is D, where the function is multiplicative | college_mathematics | mathematics |
mmlu_aux_train_35379 | mmlu_aux_train | Booker T. Washington was born in a black slave family in Virginia of the USA in 1856, seven years before slavery was abolished by Abraham Lincoln in January, 1863. He wrote a book about his life called Up From Slavery, which was published in 1901. In the book, he said that he had no choice but to work in a coal mine ... | C. he had to work as a coal miner | high_school_biology | biology | ||
pythonio_155 | pythonio-mc | Program:
def remove_words(list1, charlist):
new_list = []
for line in list1:
new_words = ' '.join([word for word in line.split() if not any([phrase in word for phrase in charlist])])
new_list.append(new_words)
return new_list
Input:
remove_words(['Red &', 'Orange+', 'Green', 'Orange @',... | D | code | computer_science | ||
aquarat_43814 | deepmind/aqua_rat | If n is a prime number greater than 11, what is the remainder when n^2 is divided by 12 ? | A. 0 B. 1 C. 2 D. 3 E. 5 | B. 1 | There are several algebraic ways to solve this question, but the easiest way is as follows:since we cannot have two correct answers just pick a prime greater than 11, square it and see what would be the remainder upon division of it by 12.
n=17 --> n^2=289 --> remainder upon division 289 by 12 is 1.
Answer: B. | college_mathematics | mathematics |
math_2129 | math_mc | If $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ are unit vectors, then find the largest possible value of
\[\|\mathbf{a} - \mathbf{b}\|^2 + \|\mathbf{a} - \mathbf{c}\|^2 + \|\mathbf{b} - \mathbf{c}\|^2.\]Note: A unit vector is a vector of magnitude 1. | D | math_Precalculus | mathematics | ||
pythonio_141 | 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([1,2,1],3)
Output: | D | code | computer_science | ||
math_1788 | math_mc | Find the smallest positive integer whose cube ends in $888$.
| C | math_Number Theory | mathematics | ||
NLP4Education_260 | NLP4Education | Which of the following statements is correct concerning the use of Pearson’s Correlation for user-based collaborative filtering?
A. It measures whether different users have similar preferences for the same items
B. It measures the similarity between a user’s preferences for different items
C. It evaluates how closely t... | A. It measures whether different users have similar preferences for the same items | machine_learning | computer_science | ||
aquarat_24546 | deepmind/aqua_rat | If a certain sample of data has a mean of 15 and a standard deviation of 2, which of the following is not within 2 standard deviations? | A. 11 B. 15 C. 10 D. 12 E. 14 | C. 10 | If a data distribution is normal then the 68% data values are within one standard deviation of the mean (i.e., μ ± σ), and about 95 percent are within two standard deviations (μ ± 2σ).
Here, mean = 15 and standard distribution is 2.
Numbers which are within two standard distribution will be in the range of 15±(2*2) i.e... | high_school_statistics | mathematics |
mmlu_aux_train_96050 | mmlu_aux_train | Leaves are the part of a plant with the most a type of
A. root
B. bud
C. bacteria
D. specialized compartment | D. specialized compartment | high_school_biology | biology | ||
allenai/sciq_4995 | allenai/sciq | What do you call a reaction that consumes energy as it is carried out?
A. unstable
B. exothermic
C. endothermic
D. autotrophic | C. endothermic | The exothermic reaction on the left releases energy. The endothermic reaction on the right consumes energy. | high_school_chemistry | chemistry | |
mmlu_aux_train_59499 | mmlu_aux_train | Switching telephone providers used to be the only way homeowners could save money on telephone bills. Now thanks to new technology, comsumers have another choice-making phone calls over the internet. And this can be completely free if you call another person with an internet phone set-up. The technology is called voice... | A. VolP,voice over internet protocol | computer_security | computer_science | ||
aquarat_2128 | deepmind/aqua_rat | What is the remainder when the infinite sum (1!)² + (2!)² + (3!)² + ··· is divided by 1152? | A. 12 B. 41 C. 152 D. 802 E. None | B. 41 | Explanation :
We have to find out the remainder when (1!)² + (2!)² + (3!)² + ··· is divided by 1152
1152 = 27 * 32
=> (6!)2 is divisble by 1152
=> All (n!)2 are divisible by 1152 as long as n > 5
So, our problem is now reduced to
Rem [((1!)² + (2!)² + (3!)² + (4!)² + (5!)²)/1152]
= Rem[(1 + 4 + 36 +576 + 14400) / 1152]... | college_mathematics | mathematics |
math_689 | math_mc | Diane has one 1-cent stamp, two identical 2-cent stamps, and so on, up to nine identical 9-cent stamps. In how many different arrangements can Diane paste exactly 10 cents worth of postage in a row across the top of an envelope? (Note, however, that simply rotating or inverting a stamp, or exchanging the positions of t... | D | math_Counting & Probability | mathematics |
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