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_93497 | mmlu_aux_train | Mitochondria are cell organelles that play a large role in energy processes within the body. Which cells are most likely to have a greater amount of mitochondria?
A. skin
B. bone
C. blood
D. muscle | D. muscle | high_school_biology | biology | ||
math_1051 | math_mc | What is the sum of the squares of the lengths of the $\textbf{medians}$ of a triangle whose side lengths are $10,$ $10,$ and $12$? | A | math_Geometry | mathematics | ||
math_971 | math_mc | There are two natural ways to inscribe a square in a given isosceles right triangle. If it is done as in Figure 1 below, then one finds that the area of the square is $441 \text{cm}^2$. What is the area (in $\text{cm}^2$) of the square inscribed in the same $\triangle ABC$ as shown in Figure 2 below?
[asy] draw((0,0)--... | B | math_Geometry | mathematics | ||
NLP4Education_316 | NLP4Education | How many time is call compute printed when running the following code?
def compute(n: Int) =
printf("call compute")
n + 1
LazyList.from(0).drop(2).take(3).map(compute)
A. 0
B. 2
C. 3
D. 5 | A. 0 | coding | computer_science | ||
NLP4Education_805 | NLP4Education | Let p(x, y) be the statement "x visits y", where the domain of x consists of all the humans in the world and the domain of y consists of all the places in the world. Use quantifiers to express the following statement: There is a place in the world that has never been visited by humans.
A. ∃y ∀x ¬p(x, y)
B. ∀y ∃x ¬p(x, ... | A. ∃y ∀x ¬p(x, y) | formal_logic | mathematics | ||
pythonio_37 | pythonio-mc | Program:
import math
def volume_tetrahedron(num):
volume = (num ** 3 / (6 * math.sqrt(2)))
return round(volume, 2)
Input:
volume_tetrahedron(20)
Output: | B | code | computer_science | ||
NLP4Education_59 | NLP4Education | Under certain conditions, maximizing the log-likelihood is equivalent to minimizing mean-squared error for linear regression. The mean-squared error can be defined as $\mathcal{L}_{m s e}(\mathbf{w}):= \frac{1}{2 N} \sum_{n=1}^{N}\left(y_{n}-\widetilde{\mathbf{x}}_{n}^{\top} \mathbf{w}\right)^{2}$ and $y_{n}=\widetilde... | A. The noise parameter $\varepsilon_{n}$ should have a normal distribution. | machine_learning | computer_science | ||
allenai/sciq_6922 | allenai/sciq | Which structure includes sugar-phosphate "backbones", composed of alternating phosphate groups and deoxyribose sugars, and nitrogenous bases?
A. mulecular triplex
B. dna triple helix
C. dna double helix
D. molecule double helix | C. dna double helix | The DNA double helix. The two sides are the sugar-phosphate backbones, composed of alternating phosphate groups and deoxyribose sugars. The nitrogenous bases face the center of the double helix. As the base-pairing rules tell us, A always pairs with T, and G always pairs with C. | college_biology | biology | |
mmlu_aux_train_1931 | mmlu_aux_train | Which characteristic of the asthenosphere helps explain the evidence of crustal-plate motion?
A. the magnetic properties
B. the semiliquid physical state
C. the ability to deflect solar winds
D. the ability to absorb heat energy | B. the semiliquid physical state | astronomy | physics | ||
mmlu_aux_train_43065 | mmlu_aux_train | Millions of young people are writing blogs . Millions of others are reading them. The word "blog" is a short way of saying Web log. Many popular Web sites now offer free, easy ways to create personal Web pages and fill them with writings and pictures. Web sites called "Face book" and "My Space" are some of the most pop... | D. blog sites for young people | high_school_computer_science | computer_science | ||
mmlu_aux_train_1385 | mmlu_aux_train | Which statement is true about the particles of a liquid compared to the particles of a gas?
A. Particles of a liquid are a slower and further apart.
B. Particles of a liquid are faster and farther apart.
C. Particles of a liquid are slower and closer together.
D. Particles of a liquid are faster and closer together. | C. Particles of a liquid are slower and closer together. | high_school_physics | physics | ||
pythonio_709 | pythonio-mc | Program:
def min_Swaps(s1,s2) :
c0 = 0; c1 = 0;
for i in range(len(s1)) :
if (s1[i] == '0' and s2[i] == '1') :
c0 += 1;
elif (s1[i] == '1' and s2[i] == '0') :
c1 += 1;
result = c0 // 2 + c1 // 2;
if (c0 % 2 == 0 and c1 % 2 == 0) :
... | D | code | computer_science | ||
mmlu_aux_train_96667 | mmlu_aux_train | A person eats some berries in them while camping in one location. In another location, miles away, they defecate outdoors. A result of this is
A. seeds dying
B. berry pips relocating
C. crows hoarding
D. people coughing | B. berry pips relocating | college_biology | biology | ||
aquarat_95173 | deepmind/aqua_rat | Let S be the set of values which can be written as the sum of 5 consecutive perfect squares.
What is the smallest element of S which is divisible by 17? | A. 255 B. 355 C. 522 D. 355 E. 664 | A. 255 | Each element of S can be written in the form
(x- 2)2 + (x - 1)2 + x2 + (x + 1)2 + (x + 2)2 = x2 + 2x2 + 2 + 2x2 + 8
= 5x2 + 10
= 5(x2 + 2)
where x is some positive integer with x 3. By iterating over values of x, we observe that when
x = 7, x2 + 2 = 51 = 3 * 17; no smaller value of x exists which satisfies the problem ... | college_mathematics | mathematics |
mmlu_aux_train_75774 | mmlu_aux_train | Henry: I find the Internet is very good for shopping. I use more and more for buying books and CDs, and I even bought some clothes over the Internet. The other thing I can do is to book travels over the Internet. I booked a cheap flight once. It was very easy, and it was really good. David: I use the Internet for game... | A. Henry | high_school_computer_science | computer_science | ||
allenai/sciq_197 | allenai/sciq | What is a suggested explanation for a phenomenon or a suggested explanation for a relationship between many phenomena called?
A. system
B. process
C. hypothesis
D. query | C. hypothesis | In order to explain the observed phenomenon, scientists develop a number of possible explanations, or hypotheses. A hypothesis is a suggested explanation for a phenomenon or a suggested explanation for a relationship between many phenomena. Hypotheses are always based on evidence that can be tested by observation or ex... | high_school_biology | biology | |
mmlu_aux_train_62052 | mmlu_aux_train | There are a lot of things that happen to me in China but would certainly never happen in the US. One of those things is being called "strong". The first time was last December. I was walking across the high school campus in Guangzhou where I taught when a student in a gray scarf waved hello. I smiled and waved back, bu... | D. an American teacher | high_school_computer_science | computer_science | ||
aquarat_36735 | deepmind/aqua_rat | How many zeroes are there at the end of the number N, if N = 150! + 300! ? | A. 28 B. 31 C. 34 D. 37 E. 40 | D. 37 | The number of zeroes at the end of 150! will be less than the number of zeroes at the end of 300!
Hence it is sufficient to calculate the number of zeroes at the end of 150!
The number of zeroes = [150/5] + [150/25] + [150/125] = 30 + 6 + 1 = 37
The answer is D. | college_mathematics | mathematics |
allenai/sciq_5652 | allenai/sciq | What makes water change to a different state?
A. temperature
B. gravity
C. pressure
D. time | A. temperature | The state the water is in depends upon the temperature. Each state (solid, liquid, and gas) has its own unique set of physical properties. | high_school_physics | physics | |
aquarat_4486 | deepmind/aqua_rat | A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 5 characters in length. This year, it added the option of creating passwords having 6 characters in length. Which of the following gives the expression for the total ... | A. 63^4 B. 62^5 C. 62(62^4) D. 63(62^5) E. 63(62^6) | D. 63(62^5) | Total number of passwords = number of 5 character password +number of 6 character password
= 62^5 + 62^6 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^5(1+ 62)
=62^5 * 63
Answer D | college_mathematics | mathematics |
aquarat_44174 | deepmind/aqua_rat | If n > 0 , which of the following must be true?
I 2n - 1 > 0
II n - n^2 < 0
III n^2 > 1 | A. I only B. II only C. none D. I and II only E. III only | C. none | I. True for all values of n except 1
When n = 1 ; n^2 = 1
II. True for all values of n except 1
When n = 1 ; n - n^2 = 1 - 1 =>0
III True for all values of n
Hence the correct answer will be (C) | college_mathematics | mathematics |
mmlu_aux_train_71000 | mmlu_aux_train | Most students in China have their own school rules. So do the schools in other countries. Japan: Most schools demand that students wear uniforms, such as sports suits or skirts. They also demand that girls' white socks be folded in a certain way and boys' heads be shaved Other Japanese schools tell students that they... | C. wear indoor shoes at school | high_school_biology | biology | ||
NLP4Education_501 | NLP4Education | Tick the \textbf{false} statement regarding Kerckhoffs' principle.
A. The system must be practically, if not mathematically, indecipherable.
B. Besides keeping the key secret, the cryptosystem must also be kept secret.
C. It must be applicable to telegraphic correspondence.
D. Its key must be communicable and retainabl... | B. Besides keeping the key secret, the cryptosystem must also be kept secret. | computer_security | computer_science | ||
mmlu_aux_train_96750 | mmlu_aux_train | insulation for the purposes of moving electrons involves
A. conductor wrapped wire
B. insulator wrapped insulator
C. non coated metal
D. insulation encompassed wire | D. insulation encompassed wire | electrical_engineering | engineering | ||
mmlu_aux_train_31006 | mmlu_aux_train | Building a company website is one of the most important parts of creating a successful business. But designing a website can be time consuming and expensive. Web designers are difficult to work with, and even though you're paying them.There are cheaper ways to establish your company online, and Wix.com stands out among... | C. build a company's website cheap | college_computer_science | computer_science | ||
allenai/sciq_4863 | allenai/sciq | Where part of the atmosphere is the uppermost mantle?
A. lithosphere
B. thermosphere
C. troposphere
D. isosphere | A. lithosphere | The lithosphere is the brittle crust and uppermost mantle. | college_geology | earth_science | |
math_706 | math_mc | A square sheet of paper has area $6 \text{ cm}^2$. The front is white and the back is black. When the sheet is folded so that point $A$ rests on the diagonal as shown, the visible black area is equal to the visible white area. How many centimeters is $A$ from its original position? Express your answer in simplest radic... | C | math_Geometry | mathematics | ||
allenai/sciq_9885 | allenai/sciq | What are hot fragments of rock called?
A. shards
B. obsidian
C. pyroclasts
D. magma | C. pyroclasts | Ash and particles shoot many kilometers into the sky. The material may form a mushroom cloud, just like a nuclear explosion. Hot fragments of rock, called pyroclasts , fly up into the air at very high speeds. The pyroclasts cool in the atmosphere. Some ash may stay in the atmosphere for years. The ash may block out sun... | college_earth_science | earth_science | |
pythonio_336 | pythonio-mc | Program:
def No_of_cubes(N,K):
No = 0
No = (N - K + 1)
No = pow(No, 3)
return No
Input:
No_of_cubes(5,2)
Output: | A | code | computer_science | ||
pythonio_801 | pythonio-mc | Program:
def substract_elements(test_tup1, test_tup2):
res = tuple(tuple(a - b for a, b in zip(tup1, tup2))
for tup1, tup2 in zip(test_tup1, test_tup2))
return (res)
Input:
substract_elements(((13, 4), (14, 6), (13, 10), (12, 11)), ((19, 8), (14, 10), (12, 2), (18, 4)))
Output: | B | code | computer_science | ||
NLP4Education_508 | NLP4Education | Which protocol does not use RC4.
A. WEP
B. WPA
C. WPA2
D. TLS | C. WPA2 | computer_security | computer_science | ||
allenai/sciq_10469 | allenai/sciq | What term in physics refers to the use of force to move an object?
A. momentum
B. velocity
C. mass
D. work | D. work | Work is defined differently in physics than in everyday language. In physics, work means the use of force to move an object. The teen who is playing tennis in Figure above is using force to move her tennis racket, so she is doing work. The teen who is studying isn’t moving anything, so she is not doing work. | conceptual_physics | physics | |
math_107 | math_mc | Joanie takes a $\$6,\!000$ loan to pay for her car. The annual interest rate on the loan is $12\%$. She makes no payments for 4 years, but has to pay back all the money she owes at the end of 4 years. How much more money will she owe if the interest compounds quarterly than if the interest compounds annually? Expres... | C | math_Algebra | mathematics | ||
mmlu_aux_train_93951 | mmlu_aux_train | Scientists who have studied the hydrosphere concluded that about 71% of Earth is covered with water. Which part of the hydrosphere is most often associated with the formation of organic rocks?
A. lakes
B. oceans
C. ponds
D. rivers | B. oceans | college_earth_science | earth_science | ||
mmlu_aux_train_15799 | mmlu_aux_train | The earthquake that shook Japan with historic strength on March 11th, 2011 created a _ wave ten meters high. The water washed away boats, cars and houses in coastal areas north of Tokyo. It also led to tsunami warnings across the Pacific. Scientists recorded the magnitude of the earthquake at 8.9.The United States Geo... | C. Chile | earth_science | earth_science | ||
aquarat_35604 | deepmind/aqua_rat | SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69-------------------------- 4
70-79--------------------------10
80-89--------------------------27
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score i... | A. 30 B. 32 C. 31th(80-89) D. 34 E. 36 | C. 31th(80-89) | Total scores= 2+4+10+27+18 = 61, which is odd, therefore the median is the Floor(61/2)+1 = 31th score. And the 31th score is in the 80-89 range, because 50-79 only reference 28 scores.
C | high_school_statistics | mathematics |
mmlu_aux_train_20813 | mmlu_aux_train | Nowadays, pollution is becoming worse and worse. A starry night seems to be a luxury for people living in cities. Is there any ideal place for stargazers ? A small town in New Zealand is here to surprise you with its breathtaking starry night sky. Lake Tekapo is located at the heart of New Zealand's South Island. It ha... | A. To observe its starry night sky | astronomy | physics | ||
aquarat_13045 | deepmind/aqua_rat | In the faculty of Reverse-Engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total? | A. 515. B. 545. C. 661. D. 644. E. 666. | C. 661. | Answer is C :661
Solution : Total number of students studying both are 423 + 240 - 134 = 529 (Subtracting the 134 since they were included in the both the other numbers already).
So 80% of total is 529, so 100% is approx. 661. | college_mathematics | mathematics |
mmlu_aux_train_45573 | mmlu_aux_train | Hong Kong is one of the most densely populated cities in the world, but with night skies around 1,000 times brighter than globally accepted levels, it gains a bad reputation for its light pollution. A study by Hong Kong University found that brightness levels in the southern Chinese city's popular shopping district of... | C. a dark sky with twinkling stars | astronomy | physics | ||
aquarat_6824 | deepmind/aqua_rat | Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 2, 2, 2 3, 3, 2
II. 32, 32, 32, 30, 30, 32
III. 37, 38, 39, 40, 44, 42 | A. I, II, III B. I, III, II C. II, I, III D. II, III, I E. III, II, I | A. I, II, III | (D) To answer a question such as this, you DO NOT need to know how to calculate standard deviation. You simply need to understand how to compare standard deviations of different sets. The more spread out the numbers are, the greater the standard deviation will be. Even one or two numbers that are much larger or smaller... | high_school_statistics | mathematics |
math_559 | math_mc | A paperboy delivers newspapers to 10 houses along Main Street. Wishing to save effort, he doesn't always deliver to every house, but to avoid being fired he never misses three consecutive houses. Compute the number of ways the paperboy could deliver papers in this manner.
| B | math_Counting & Probability | mathematics | ||
mmlu_aux_train_97625 | mmlu_aux_train | The cracks in a sidewalk could be caused by
A. black holes
B. Pine
C. time travel
D. emotions | B. Pine | high_school_physics | physics | ||
allenai/sciq_5964 | allenai/sciq | In the past, what colliding with planet earth has caused many organisms to die off?
A. asteroids
B. meteorites
C. acid rain
D. the Sun | A. asteroids | Near-Earth asteroids have orbits that cross Earth’s orbit. This means that they can collide with Earth. There are over 4,500 known near-Earth asteroids. Small asteroids do sometimes collide with Earth. An asteroid about 5–10 m in diameter hits about once per year. Five hundred to a thousand of the known near-Earth aste... | astronomy | physics | |
allenai/sciq_5240 | allenai/sciq | In what human organ system would you find live e. coli bacteria?
A. respiratory system
B. skeletal system
C. circulatory system
D. digestive system | D. digestive system | E. coli bacteria are anaerobic bacteria that live in the human digestive tract. | high_school_biology | biology | |
pythonio_863 | pythonio-mc | Program:
def max_product(arr):
arr_len = len(arr)
if (arr_len < 2):
return None
x = arr[0]; y = arr[1]
for i in range(0, arr_len):
for j in range(i + 1, arr_len):
if (arr[i] * arr[j] > x * y):
x = arr[i]; y = arr[j]
return x,y
I... | C | code | computer_science | ||
mmlu_aux_train_45189 | mmlu_aux_train | Picture a wasteland of old computer monitors and TVs, stretching as far as the eye can see. Imagine towers of boxes, all of them filled with broken glass and discarded electronic devices. Technology graveyards like this can be found in communities across the country. Experts say that landfills and warehouses will o... | A. New technology causes trouble for recyclers. | college_computer_science | computer_science | ||
NLP4Education_76 | NLP4Education | You are doing your ML project. It is a regression task under a square loss. Your neighbor uses linear regression and least squares. You are smarter. You are using a neural net with 10 layers and activations functions $f(x)=3 x$. You have a powerful laptop but not a supercomputer. You are betting your neighbor a beer at... | A. Because we use exactly the same scheme. | machine_learning | computer_science | ||
math_728 | math_mc | A cone is inverted and filled with water to 3/4 of its height. What percent of the cone's volume is filled with water? Express your answer as a decimal to the nearest ten-thousandth. (You should enter 10.0000 for $10\%$ instead of 0.1000.) | A | math_Geometry | mathematics | ||
math_1362 | math_mc | Let $a,$ $b,$ $c$ be real numbers such that $a + b + c = 0.$ Find the set of all possible values of $ab + ac + bc.$ | A | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_71745 | mmlu_aux_train | Scientists will put some robot fish into the sea near Spain this year. These robot fish will help people find out the pollution in the water. If the robot fish are able to finish their work successfully, the team of scientists hopes the fish will be used in rivers, lakes and seas around the world. The robot fish are ab... | C. find out the pollution in the water | electrical_engineering | engineering | ||
mmlu_aux_train_7805 | mmlu_aux_train | You may have never heard of Lanthanum, Cerium or Neodymium, but these elements and others known as "rare earth" play a major role in modern technology. They can actually be found in many places on the earth, but not in quantities that can be mined. Only a few countries -- China, America, India, Australia, Brazil and ... | D. They are not really as rare as they are named. | college_chemistry | chemistry | ||
pythonio_730 | pythonio-mc | Program:
def area_trapezium(base1,base2,height):
area = 0.5 * (base1 + base2) * height
return area
Input:
area_trapezium(10,20,30)
Output: | A | code | computer_science | ||
pythonio_66 | pythonio-mc | Program:
def remove_datatype(test_tuple, data_type):
res = []
for ele in test_tuple:
if not isinstance(ele, data_type):
res.append(ele)
return (res)
Input:
remove_datatype((4, 5, 4, 7.7, 1.2), int)
Output: | D | code | computer_science | ||
math_532 | math_mc | The inhabitants of the island of Jumble use the standard Kobish alphabet ($20$ letters, A through T). Each word in their language is $4$ letters or less, and for some reason, they insist that all words contain the letter A at least once. How many words are possible? | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_5980 | mmlu_aux_train | Snow falls in the Earth's extreme North and South throughout the year. However, the heaviest snowfalls have been reported in the mountains of other areas during winter. Snow is even known to fall near the Equator ,but only on the highest mountains. Snow contains much less water than rain, but much of the water the wor... | A. is heavier than that in the South and the North Poles | high_school_physics | physics | ||
aquarat_70046 | deepmind/aqua_rat | Factory X's bulbs work for over 5000 hours in 79% of cases, whereas factory Y's bulbs work for over 5000 hours in 85% of cases. It is known that factory X supplies 80% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? | A. 80.2% B. 88% C. 87.4% D. 85% E. 83.9% | A. 80.2% | For X, 80% of 79% will work.
For Y, 20% of 85% will work. *20% is the rest of the bulb supply in the market.
So, the probability that a purchased bulb will work is:
0.80(0.79) = .632
0.20(0.85) = 0.17
The combined probability then is 63.2 + 17 = 80.2%
ANS A | high_school_statistics | mathematics |
math_1836 | math_mc | How many positive integers less than 60 have an even number of positive divisors? | B | math_Prealgebra | mathematics | ||
NLP4Education_810 | NLP4Education | Which of the following functions \( f :\mathbb{Z} \times \mathbb{Z} \to \mathbb{Z} \) are surjective?
A. \( f(m,n) = m^2 + n^2 \)
B. \( f(m,n) = m \cdot n \)
C. \( f(m,n) = |m| + |n| \)
D. \( f(m,n) = m + n \) | D. \( f(m,n) = m + n \) | abstract_algebra | mathematics | ||
mmlu_aux_train_58585 | mmlu_aux_train | My eighth grade consisted of 28 classmates. We knew each other so well that most of us could distinguish each other's handwriting at a glance. Although we grew up together, we still had class outcasts.From second grade on, a small group started harassing two or three of the others.I was one of those two or three, tho... | B. her classmates needed to find an outcast her | high_school_computer_science | computer_science | ||
math_1450 | math_mc | Find the greatest constant $M,$ so that
\[\frac{a^2 + b^2}{c^2} > M\]whenever $a,$ $b,$ and $c$ are the sides of a triangle. | A | math_Intermediate Algebra | mathematics | ||
aquarat_81842 | deepmind/aqua_rat | If Reena says, “Anjali's father Raman is the only son of my father-in-law Ramanand”, then how is Piyu, who is the sister of Anjali, related to Ramanand ? | A. Grand-daughter B. Wife C. Daughter D. None of these E. None of these33 | A. Grand-daughter | Explanation:
Only son of Reena's father-in-law Ramanand is Reena's husband. So, Raman is Reena's husband and Anjali & Piyu are his daughter's, Thus, Piyu is Grand-daughter of Ramanand.
ANSWER: A | formal_logic | mathematics |
aquarat_3475 | deepmind/aqua_rat | If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ? | A. a + c = b + d B. 2a + b = 2c + d C. b + 2c = 2a + d D. b - 2c = 2a - d E. None | C. b + 2c = 2a + d | Answer
If (x+2) is the HCF of x2 + ax + b and x2 + cx + d.
Then, (-2)2 -2a +b = (-2)2 -2c + d
b + 2c = 2a + d
Correct Option: C | college_mathematics | mathematics |
aquarat_33305 | deepmind/aqua_rat | Consider a quarter of a circle of radius 81. Let r be the radius of the circle inscribed in this quarter of a circle. Find r. | A. 86*(sqr2 -1) B. 88*(sqr3 -1) C. 4*(sqr7 - 1) D. 81* (sqr2 -1) E. None of these | D. 81* (sqr2 -1) | I got 81/(sqr2 +1) and just forgot to multiply by (sqr2 -1).
Answer is D | college_mathematics | mathematics |
math_807 | math_mc | A sphere is inscribed in a right cone with base radius $12$ cm and height $24$ cm, as shown. The radius of the sphere can be expressed as $a\sqrt{c} - a$ cm. What is the value of $a + c$? [asy]
import three; size(120); defaultpen(linewidth(1)); pen dashes = linetype("2 2") + linewidth(1);
currentprojection = orthograph... | C | math_Geometry | mathematics | ||
allenai/sciq_4900 | allenai/sciq | What is considered to be the control center for homeostatic mechanisms?
A. hippocampus
B. hypothalamus
C. adrenal cortex
D. thyroid | B. hypothalamus | The Hypothalamus The hypothalamus is the control center for many homeostatic mechanisms. It regulates both autonomic function and endocrine function. The roles it plays in the pupillary reflexes demonstrates the importance of this control center. The optic nerve projects primarily to the thalamus, which is the necessar... | college_biology | biology | |
math_1517 | math_mc | Find the largest negative integer $x$ which satisfies the congruence $34x+6\equiv 2\pmod {20}$. | B | math_Number Theory | mathematics | ||
mmlu_aux_train_98474 | mmlu_aux_train | A fawn's colors helps it blend in with the landscape in
A. Autumn
B. oceans
C. icy lakes
D. Winter | A. Autumn | high_school_biology | biology | ||
NLP4Education_666 | NLP4Education | Tick the \textbf{true} assertion. In RSA \ldots
A. decryption is known to be equivalent to factoring.
B. key recovery is provably not equivalent to factoring.
C. decryption is probabilistic.
D. public key transmission needs authenticated and integer channel. | D. public key transmission needs authenticated and integer channel. | computer_security | computer_science | ||
pythonio_108 | pythonio-mc | Program:
def odd_Num_Sum(n) :
j = 0
sm = 0
for i in range(1,n+1) :
j = (2*i-1)
sm = sm + (j*j*j*j*j)
return sm
Input:
odd_Num_Sum(2)
Output: | D | code | computer_science | ||
allenai/sciq_881 | allenai/sciq | What state of matter completes the list: solid, liquid, gas?
A. ice
B. energy
C. power
D. plasma | D. plasma | A snowflake is made of ice, or water in the solid state. A solid is one of four well-known states of matter. The other three states are liquid, gas, and plasma. Compared with these other states of matter, solids have particles that are much more tightly packed together. The particles are held rigidly in place by all th... | high_school_physics | physics | |
aquarat_34234 | deepmind/aqua_rat | The remainder when A=1+3+3^2+3^3+..........+3^200 is divided 13. | A. 12 B. 7 C. 0 D. 5 E. 3 | C. 0 | A=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n terms in GP = a(r^n-1)/(r-1)
where a=First term and r =common ration
Hence,
1*(3^201 -1 )/(3-1)
Rem of (3^201-1)/2 divided by 13
3^201 -1 /26
WKT, 3^3 = 27 = 26+1
{(26+1)^67 - 1}/26
... | college_mathematics | mathematics |
pythonio_898 | pythonio-mc | Program:
def count_elim(num):
count_elim = 0
for n in num:
if isinstance(n, tuple):
break
count_elim += 1
return count_elim
Input:
count_elim([10,(20,30),(10,20),40])
Output: | A | code | computer_science | ||
math_1611 | math_mc | Suppose $a$ and $b$ are positive integers such that $\gcd(a,b)$ is divisible by exactly $7$ distinct primes and $\mathop{\text{lcm}}[a,b]$ is divisible by exactly $28$ distinct primes.
If $a$ has fewer distinct prime factors than $b$, then $a$ has at most how many distinct prime factors? | A | math_Number Theory | mathematics | ||
allenai/sciq_5636 | allenai/sciq | What is the inner cell mass formed by the cells of the blastocyst called?
A. amniotic cavity
B. xerophyte
C. embryoblast
D. ectoderm | C. embryoblast | The cells of the blastocyst form an inner cell mass and an outer cell layer, as shown in Figure below . The inner cell mass is called the embryoblast . These cells will soon develop into an embryo. The outer cell layer is called the trophoblast . These cells will develop into other structures needed to support and nour... | high_school_biology | biology | |
mmlu_aux_train_92981 | mmlu_aux_train | Solar radiation has a part in the water cycle by
A. affecting ocean tides.
B. helping in the absorption of groundwater.
C. determining the type of clouds formed.
D. changing water to a vapor. | D. changing water to a vapor. | high_school_physics | physics | ||
aquarat_90688 | deepmind/aqua_rat | If f(x)= 5x^3- 2x+4 and g(y)= 6y-4, then g(f(x)) = | A. 11x^2+4x+4 B. 30x^3-12x+20 C. 8x^3-8x+32 D. 30x^3+4x+4 E. 30x^3-12x+44 | B. 30x^3-12x+20 | g(f(x)) = 6(f(x)) -4 = 6(5x^3- 2x+4) - 4 = 30x^3-12x+20 =>B | college_mathematics | mathematics |
aquarat_17215 | deepmind/aqua_rat | PZQW : NXOU :: FISK :? | A. EFPJ B. FERI C. DGQI D. HKUM E. HKUN | C. DGQI | Difference of one alphabet on each side of proportion term. Answer is thus DGQI
ANSWER:C | formal_logic | mathematics |
aquarat_79006 | deepmind/aqua_rat | There are 2 groups named brown and red. They can n't marry in the same group. If the husband or wife dies then the person will revert to their own group. If a person is married then the husband will have to change his group to his wife's group. Children will own the mother's group. If man is red then his mother's broth... | A. 138 B. 287 C. 207 D. 2768 E. 112 | B. 287 | If a man is Red, his mother must be red, his mothers brother also red but after marriage, he gets converted to Brown.
Answer:B | formal_logic | mathematics |
aquarat_20353 | deepmind/aqua_rat | In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 12 is | A. 8 B. 12 C. 16 D. 1296 E. 24 | D. 1296 | I've never seen such kind of question in GMAT before.
OK there can be 4 cases:
|x+y| + |x-y| = 12
A. x+y+x-y = 12 --> x=6
B. x+y-x+y = 12 --> y=6
C. -x-y +x-y= 12 --> y=-6
D. -x-y-x+y=12 --> x=-6
The area bounded by 4 graphs x=6, x=-6, y=6, y=-6 will be square with the side of 4 so the area will be 36*36=1296
Answer:D | college_mathematics | mathematics |
aquarat_54555 | deepmind/aqua_rat | When an array of pointers is passed through a function, what actually is passed? | A. number of eleme22 B. number of elements C. first element D. last element E. address of the starting element | E. address of the starting element | Explanation:
When any array is passed through a function,always the address of starting element is passed
Answer: E | college_computer_science | computer_science |
NLP4Education_585 | NLP4Education | Due to the birthday paradox, a collision search in a hash function with $n$-bit output has complexity…
A. $2^{\sqrt{n}}$
B. $2^{n-1}$
C. $\sqrt{2^n}$
D. $2^n$ | C. $\sqrt{2^n}$ | computer_security | computer_science | ||
allenai/sciq_4695 | allenai/sciq | What kind of current flows in just one direction?
A. slow current
B. direct current
C. Alternating current
D. physical current | B. direct current | When current flows in just one direction, it is called direct current (DC) . The diagram below shows how direct current flows through a simple circuit. An example of direct current is the current that flows through a battery-powered flashlight. In addition to batteries, solar cells and fuel cells can also provide direc... | electrical_engineering | engineering | |
math_293 | math_mc | I have a picture with dimensions $x$ and $y$ (in inches), such that $x$ and $y$ are both integers greater than one. I would like to place this picture in an elongated frame of dimensions $(2x + 3)$ and $(y+2)$. If I measured the area of the frame to be $34$ square inches, what is the area of the picture in square inch... | B | math_Algebra | mathematics | ||
math_921 | math_mc | A circle is inscribed in quadrilateral $ABCD$, tangent to $\overline{AB}$ at $P$ and to $\overline{CD}$ at $Q$. Given that $AP=19$, $PB=26$, $CQ=37$, and $QD=23$, find the square of the radius of the circle.
| B | math_Geometry | mathematics | ||
allenai/sciq_9228 | allenai/sciq | Maintaining a balance inside the body or cells of organisms is known as?
A. homeostasis
B. equanimity
C. consciousness
D. ketosis | A. homeostasis | When you are cold, what does your body do to keep warm? You shiver to warm up your body. When you are too warm, you sweat to release heat. When any living organism gets thrown off balance, its body or cells help it return to normal. In other words, living organisms have the ability to keep a stable internal environment... | high_school_biology | biology | |
math_1677 | math_mc | Call an integer $n$ oddly powerful if there exist positive integers $a$ and $b$, where $b>1$, $b$ is odd, and $a^b = n$. How many oddly powerful integers are less than $2010$? | B | math_Number Theory | mathematics | ||
math_1811 | math_mc | Let $a_n$ be the number obtained by writing the integers 1 to $n$ from left to right. Therefore, $a_4 = 1234$ and \[a_{12} = 123456789101112.\]For $1 \le k \le 100$, how many $a_k$ are divisible by 9? | D | math_Number Theory | mathematics | ||
pythonio_676 | pythonio-mc | Program:
def access_elements(nums, list_index):
result = [nums[i] for i in list_index]
return result
Input:
access_elements([2,3,8,4,7,9],[0,3,5])
Output: | D | code | computer_science | ||
math_1627 | math_mc | Zan has created this iterative rule for generating sequences of whole numbers:
1) If a number is 25 or less, double the number.
2) If a number is greater than 25, subtract 12 from it.
Let $F$ be the first number in a sequence generated by the rule above. $F$ is a "sweet number" if 16 is not a term in the sequence th... | A | math_Number Theory | mathematics | ||
math_742 | math_mc | Two right triangles share a side as follows: [asy]
pair pA, pB, pC, pD, pE;
pA = (0, 0);
pB = pA + 6 * dir(0);
pC = pA + 10 * dir(90);
pD = pB + 6 * dir(90);
pE = (6 * pA + 10 * pD) / 16;
draw(pA--pB--pC--pA);
draw(pA--pB--pD--pA);
label("$A$", pA, SW);
label("$B$", pB, SE);
label("$C$", pC, NW);
label("$D$", pD, NE);
... | C | math_Geometry | mathematics | ||
math_1244 | math_mc | Let $f(x)$ and $g(x)$ be two monic cubic polynomials, and let $r$ be a real number. Two of the roots of $f(x)$ are $r + 1$ and $r + 7.$ Two of the roots of $g(x)$ are $r + 3$ and $r + 9,$ and
\[f(x) - g(x) = r\]for all real numbers $x.$ Find $r.$ | D | math_Intermediate Algebra | mathematics | ||
math_345 | math_mc | What is the value of the sum $\frac{2}{3}+\frac{2^2}{3^2}+\frac{2^3}{3^3}+ \ldots +\frac{2^{10}}{3^{10}}$? Express your answer as a common fraction. | B | math_Algebra | mathematics | ||
aquarat_46500 | deepmind/aqua_rat | A set of data consists of the following 9 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? | A. -1 and 9 B. 4 and 4 C. 3 and 5 D. 2 and 6 E. 0 and 8 | A. -1 and 9 | If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same ... | high_school_statistics | mathematics |
allenai/sciq_193 | allenai/sciq | What do we call the cartilaginous structure that surrounds the notochrod?
A. clavicle
B. membrane
C. osteocytes
D. arcualia | D. arcualia | distinctly differ from the adult form, spending 3 to 15 years as suspension feeders. Once they attain sexual maturity, the adults reproduce and die within days. Lampreys possess a notochord as adults; however, this notochord is surrounded by a cartilaginous structure called an arcualia, which may resemble an evolutiona... | high_school_biology | biology | |
mmlu_aux_train_94747 | mmlu_aux_train | In order for sediments to become rock, the sediments are generally
A. mixed with organic material.
B. returned to their origins.
C. compacted.
D. liquefied. | C. compacted. | college_geology | earth_science | ||
allenai/sciq_4817 | allenai/sciq | What happens to a tectonic plate when it subducts?
A. it warms
B. it melts
C. it cracks
D. it sinks | B. it melts | Composite volcanoes are common along convergent plate boundaries. When a tectonic plate subducts, it melts. This creates the thick magma needed for these eruptions. The Pacific Ring of Fire is dotted by composite volcanoes. | earth_science | earth_science | |
pythonio_699 | pythonio-mc | Program:
def slope(x1,y1,x2,y2):
return (float)(y2-y1)/(x2-x1)
Input:
slope(2,4,4,6)
Output: | C | code | computer_science | ||
aquarat_51031 | deepmind/aqua_rat | If a function f is defined by f(x)= 1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 3/2 then b= ? | A. -3 B. 1/3 C. -1/3 D. 3 E. -12 | C. -1/3 | Given that f(x) = 1/x and f(a) = -1/2, then f(a) =1/a=-1/2 ===> a=-2, then backsolve using the answer choices:
f(ab) = f(-2b) = 1/6
A) -3 ===> f(-2*-3) = f(6) = 1/6
B) 1/3 ===> f((-2*1/3) = f(-2/3) = 1/(-2/3) = -3/2
C) -1/3 ===> f(-2*-1/3) = f(2/3) = 1/(2/3) = 3/2 WINS
D) 3 ===> f(-2*3) = f(-6) = -1/6
E) -12 ===> f(-2*... | college_mathematics | mathematics |
mmlu_aux_train_95369 | mmlu_aux_train | what can baking soda and vinegar do together?
A. they will boil
B. they turn hard
C. a combined reaction
D. they do nothing | C. a combined reaction | high_school_chemistry | chemistry | ||
aquarat_7550 | deepmind/aqua_rat | For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score Q for the exam? | A. 74 B. 76 C. 78 D. 80 E. 82 | A. 74 | A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d
A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d
Solving above for Mean Q= 74.
Answer: A. | high_school_statistics | mathematics |
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