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 |
|---|---|---|---|---|---|---|---|
pythonio_84 | pythonio-mc | Program:
def basesnum_coresspondingnum(bases_num,index):
result = list(map(pow, bases_num, index))
return result
Input:
basesnum_coresspondingnum([4, 8, 12, 16, 20, 24, 28],[3, 6, 9, 12, 15, 18, 21])
Output: | D | code | computer_science | ||
NLP4Education_83 | NLP4Education | The inverse document frequency of a term can increase
A. by adding the term to a new document in the collection
B. by adding more instances of the term to an existing document
C. by removing a document from the collection that contains the term
D. by adding a document to the collection that does not contain the term | D. by adding a document to the collection that does not contain the term | computer_security | computer_science | ||
math_1664 | math_mc | A positive five-digit integer is in the form $AB,CBA$; where $A$, $B$ and $C$ are each distinct digits. What is the greatest possible value of $AB,CBA$ that is divisible by eleven? | D | math_Number Theory | mathematics | ||
allenai/sciq_5402 | allenai/sciq | Compounds that contain mainly the elements carbon and hydrogen are called what kind of compounds?
A. organic compounds
B. natural compounds
C. microscopic compounds
D. reactive compounds | A. organic compounds | Compounds that contain mainly the elements carbon and hydrogen are called organic compounds . This is because they are found mainly in living organisms. Most organic compounds are held together by covalent bonds. An example of an organic compound is glucose (C 6 H 12 O 6 ), which is shown in Figure below . Glucose is a... | high_school_chemistry | chemistry | |
mmlu_aux_train_77220 | mmlu_aux_train | People have been interested in color and its effects for hundreds of years. More recently, research has turned to the question of how different colors can help students learn better. Believe it or not, some colors can affect a child's IQ . For example, a simple black and white color scheme may cause IQ to become low, w... | A. read better | high_school_biology | biology | ||
aquarat_81624 | deepmind/aqua_rat | If x is a positive integer such that x3 + 8x2 + 12x-385 = 0, then x is | A. less than 6 B. between 7 and 11 C. between 12 and 20 D. between 22 and 34 E. larger than 50 | A. less than 6 | Let f(x) = x3 +8x2 +12x385. Since
f(6) = 63 +862 + 126-385 = 62(6 +8 +2)-385 = 36 16 - 385 > 0
and f(0) = -385 < 0, there must be some t 2 (0; 6) for which f(t) = 0. Therefore, f(x)
has a positive real root between 0 and 6. Descartes' Rule of Signs implies that there is
only one positive real root, so the answer must... | college_mathematics | mathematics |
aquarat_55015 | deepmind/aqua_rat | If TRAIN is coded as 12 and PANDA is coded as 18, then CURED is coded as | A. 5 B. 10 C. 13 D. 20 E. None | A. 5 | TRAIN= 20+18+1+9+14=62 i.e 6*2=12
PANDA= 16+1+14+4+1=36 i.e 3*6=18
CURED= 3+21+18+5+4=51 5*1=5
ANSWER:A | formal_logic | mathematics |
math_1751 | math_mc | Let $S$ be the set of all rational numbers $r$, $0<r<1$, that have a repeating decimal expansion in the form $0.abcabcabc\ldots=0.\overline{abc}$, where the digits $a$, $b$, and $c$ are not necessarily distinct. To write the elements of $S$ as fractions in lowest terms, how many different numerators are required?
| A | math_Number Theory | mathematics | ||
math_1410 | math_mc | Find the nonconstant polynomial $P(x)$ such that
\[P(P(x)) = (x^2 + x + 1) P(x).\] | C | math_Intermediate Algebra | mathematics | ||
math_1980 | math_mc | Each of the boxes in the figure below is a square. How many different squares can be traced using the lines in the figure?
[asy]
unitsize(0.2inch);
draw((0,1)--(1,1)--(1,4)--(0,4)--(0,1));
draw((1,1)--(1,0)--(2,0)--(2,5)--(1,5)--(1,4));
draw((2,0)--(3,0)--(3,5)--(2,5));
draw((3,0)--(4,0)--(4,5)--(3,5));
draw((4,1)--(5... | A | math_Prealgebra | mathematics | ||
aquarat_11990 | deepmind/aqua_rat | A cylindrical water tower with radius 28 m and height 10 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank? | A. 840 2/7 B. 820 6/7 C. 821 D. 821 3/7 E. 840 | E. 840 | initial volume = (3/4)×∏×28²×10 = 5880∏
Relative Drain/ min = .08∏ - .03∏ = .05∏ m³/min drain
Relative drain / hour = .05∏×60 = 3∏ m³/ hr
Every one hour starting from 1pm, 4∏ m³ of water is drained. It means that only at the hour the water is drained and NOT “in that 1 hour“
So after 1 hr the relative drain would be 3∏... | college_mathematics | mathematics |
allenai/sciq_9189 | allenai/sciq | Electrons flow through wires to create what?
A. electric current
B. hydroelectric power
C. electromagnetism
D. balanced reaction | A. electric current | 3. Electrical energy is the energy of moving electrons. Electrons flow through wires to create electric current. | conceptual_physics | physics | |
pythonio_358 | pythonio-mc | Program:
import math
def first_Digit(n) :
fact = 1
for i in range(2,n + 1) :
fact = fact * i
while (fact % 10 == 0) :
fact = int(fact / 10)
while (fact >= 10) :
fact = int(fact / 10)
return math.floor(fact)
Input:
first_Digit(7)
Output: | C | code | computer_science | ||
allenai/sciq_3190 | allenai/sciq | Upwelling mantle at the mid-ocean ridge pushes plates in which direction?
A. inward
B. eastward
C. westward
D. outward | D. outward | Plates move for two reasons. Upwelling mantle at the mid-ocean ridge pushes plates outward. Cold lithosphere sinking into the mantle at a subduction zone pulls the rest of the plate down with it. | college_earth_science | earth_science | |
pythonio_216 | pythonio-mc | Program:
def min_Swaps(str1,str2) :
count = 0
for i in range(len(str1)) :
if str1[i] != str2[i] :
count += 1
if count % 2 == 0 :
return (count // 2)
else :
return ("Not Possible")
Input:
min_Swaps("1101","1110")
Output: | B | code | computer_science | ||
allenai/sciq_6765 | allenai/sciq | What do extensive properties depend on the amount of?
A. independent variables
B. experimental controls
C. sample temperature
D. matter in a sample | D. matter in a sample | Normally, electric charge is transferred when electrons leave the outer orbits of the atoms of one body (leaving it positively charged) and move to the surface of another body (causing the new surface to gain a negative net charge). In a plasma all electrons are stripped from the atoms, leaving positively charged ions ... | high_school_chemistry | chemistry | |
aquarat_21980 | deepmind/aqua_rat | Which of the following is(are) true for a@b=b@a?
I. a@b=ab+a
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a) | A. only Ⅰ B. only Ⅱ C. only Ⅲ D. only ⅠⅢ E. only ⅡⅢ | E. only ⅡⅢ | -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (O).
If II. a@b=(a+b)(a-b), a@b=(a+b)(a-b)≠(b+a)/(b-a)=b@a (O).
If III.a@b=(a/b)+(b/a), a@b=(a/b)+(b/a)=(b/a)+(a/b)=b@a (X).
Thus, ⅠⅢ are the answers. Therefore, E is the answer. | abstract_algebra | mathematics |
aquarat_61119 | deepmind/aqua_rat | For prime numbers x and y, x^3*y^5=z^4. How many positive factors does positive integer z have? | A. One B. Two C. Three D. Four E. Five | C. Three | Solution: given x^3*y^5=z^4; here if x and y are two different prime numbers then z = x^3/4 * y^5/4
in this case z can not be and integer.
now to make z = (x^3*y^5)^1/4 an integer it is required to have x=y then equation will become z=x^2 or z=y^2
hence total positive factors will be 3. ANSWER:C | college_mathematics | mathematics |
aquarat_69342 | deepmind/aqua_rat | Find the remainder Q when 12^190 is divided by 1729 ? | A. 12 B. 1 C. 1728 D. 1717 E. 4 | D. 1717 | 12^(190) can be written as. ((12^3)^63)* 12. 12^3 when divided by 1729 gives a remainder Q -1. so in the numerator we have -12. Now acccording to remainder theorm the answer will be 1729-12=1717.D | college_mathematics | mathematics |
mmlu_aux_train_31257 | mmlu_aux_train | For Chinese students the end of their senior year is filled with studying and stress as they prepare for the college entrance exams in June. The end of senior year is a celebration of their time in high school and involves parties, games and fun. Senioritis is a commonly used expression. It means seniors have a diseas... | A. Because they have a "disease". | high_school_computer_science | computer_science | ||
mmlu_aux_train_92642 | mmlu_aux_train | Life in the year 3044 is very different from life in the 21st century . We still do many of the things you did, but we do them differently. For example, we now have e-friends to help us and keep us company. An e-friend is a machine that looks just like a human being. It can walk and talk like humans and can do almost t... | D. It can travel back in time. | high_school_computer_science | computer_science | ||
math_1767 | math_mc | Let $S$ be the set of all positive integers that have four digits in base $2$. What is the sum of all of the elements in $S$, when expressed in base $2$? | A | math_Number Theory | mathematics | ||
NLP4Education_139 | NLP4Education | In a FP tree, the leaf nodes are the ones with:
A. Lowest support
B. Highest confidence
C. Most frequent items
D. First in the alphabetical order | A. Lowest support | college_computer_science | computer_science | ||
math_2048 | math_mc | A square has two diagonals, and a convex pentagon has five diagonals. How many diagonals does a convex decagon have? | C | math_Prealgebra | mathematics | ||
aquarat_46186 | deepmind/aqua_rat | Consider a quarter of a circle of radius 25. Let r be the radius of the circle inscribed in this quarter of a circle. Find r. | A. 16*(sqr2 -1) B. 8*(sqr3 -1) C. 25*(sqr2 - 1) D. 12* (sqr7 -1) E. None of these | C. 25*(sqr2 - 1) | I got 16/(sqr2 +1) and just forgot to multiply by (sqr2 -1).
Answer is C | college_mathematics | mathematics |
NLP4Education_563 | NLP4Education | The ElGamal cryptosystem is based on...
A. nothing.
B. the discrete logarithm problem.
C. the RSA problem.
D. the factorization problem. | B. the discrete logarithm problem. | abstract_algebra | mathematics | ||
math_1901 | math_mc | What is the value of $n$ such that $10^n = 10^{-5}\times \sqrt{\frac{10^{73}}{0.001}}$? | A | math_Prealgebra | mathematics | ||
allenai/sciq_10697 | allenai/sciq | Ice floats because it is less what than liquid water?
A. gaseous
B. dense
C. warm
D. heavy | B. dense | high_school_physics | physics | ||
allenai/sciq_6407 | allenai/sciq | An element symbol without a charge written next to it is assumed to be what?
A. uncharged atom
B. corroborate atom
C. dead atom
D. surfactants atom | A. uncharged atom | Third, there are some exceptions to the previous point. A few elements, all metals, can form more than one possible charge. For example, iron atoms can form 2+ cations or 3+ cations. Cobalt is another element that can form more than one possible charged ion (2+ and 3+), while lead can form 2+ or 4+ cations. Unfortunate... | high_school_chemistry | chemistry | |
allenai/sciq_2820 | allenai/sciq | What is a soft, gray, nontoxic alkaline earth metal?
A. magnesium
B. pewter
C. calcium
D. potassium | C. calcium | For a better understanding of alkaline Earth metals, let’s take a closer look at two of them: calcium (Ca) and strontium (Sr). Calcium is a soft, gray, nontoxic alkaline Earth metal. Although pure calcium doesn’t exist in nature, calcium compounds are very common in Earth’s crust and in sea water. Calcium is also the m... | high_school_chemistry | chemistry | |
mmlu_aux_train_27870 | mmlu_aux_train | The new world of today introduced new threats that were not known in the previous generations: Internet predators . Often we do a lot of our researching, shopping, talking; just about everything online nowadays. New advancements in revolution comes along with the unwanted attackers. There are people out there who gain ... | C. It keeps them from seeing unwanted contents. | computer_security | computer_science | ||
math_50 | math_mc | Let \[f(x) = \left\{
\begin{array}{cl}
\frac{x}{21} & \text{ if }x\text{ is a multiple of 3 and 7}, \\
3x & \text{ if }x\text{ is only a multiple of 7}, \\
7x & \text{ if }x\text{ is only a multiple of 3}, \\
x+3 & \text{ if }x\text{ is not a multiple of 3 or 7}.
\end{array}
\right.\]If $f^a(x)$ means the function is n... | C | math_Algebra | mathematics | ||
math_277 | math_mc | For $y=\frac{1-x}{2x+3}$ and $x\neq-\frac{3}{2}$, what is the value of $y$ that is not attainable? Express your answer as a common fraction. | D | math_Algebra | mathematics | ||
mmlu_aux_train_86342 | mmlu_aux_train | Dear Dad and Mom, How are you? I'm happy here, but I miss you very much. It's Sunday today, I don't have any classes. I am writing an e-mail to you in the computer room now. There are lots of students in the computer room. Some students are talking with their friends on QQ. Some students are playing computer games. Som... | D. In the computer room. | high_school_computer_science | computer_science | ||
aquarat_3270 | deepmind/aqua_rat | If it is assumed that 62 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed? | A. 400 B. 420 C. 480 D. 483.8 E. 600 | D. 483.8 | Minimum no of mail to be sent for getting 300 responses at 62%
= 300/0.62 = 483.8
Option D | high_school_statistics | mathematics |
mmlu_aux_train_55459 | mmlu_aux_train | Yasuda is 95 years old. Looking for easier ways to search the Web and send email, he bought Apple's iPad. The company has sold 3.27 million iPads since they entered the market in April. Although it's impossible to know with certainty how many seniors are buying them, evidence suggests that it's a hit with seniors. Th... | D. People can use it as a way to do mental exercise. | high_school_computer_science | computer_science | ||
allenai/sciq_4873 | allenai/sciq | What theory can explain virtually all the properties of metals?
A. formation theory
B. band theory
C. bonding theory
D. property law theory | B. band theory | Band theory can explain virtually all the properties of metals. Metals conduct electricity, for example, because only a very small amount of energy is required to excite an electron from a filled level to an empty one, where it is free to migrate rapidly throughout the crystal in response to an applied electric field. ... | college_chemistry | chemistry | |
NLP4Education_106 | NLP4Education | Thang, Jeremie and Tugrulcan have built their own search engines. For a query Q, they got precision scores of 0.6, 0.7, 0.8 respectively. Their F1 scores (calculated by same parameters) are same. Whose search engine has a higher recall on Q?
A. Thang
B. Jeremie
C. Tugrulcan
D. We need more information | A. Thang | computer_security | computer_science | ||
math_1529 | math_mc | How many even divisors does $7!$ have? | D | math_Number Theory | mathematics | ||
allenai/sciq_6114 | allenai/sciq | What is the name for the cooler, darker areas on the sun’s surface?
A. sunspots
B. corona
C. anomalies
D. aurora borealis | A. sunspots | The most noticeable magnetic activity of the Sun is the appearance of sunspots. Sunspots are cooler, darker areas on the Sun’s surface ( Figure below ). Sunspots occur in an 11 year cycle. The number of sunspots begins at a minimum. The number gradually increases to the maximum. Then the number returns to a minimum aga... | astronomy | physics | |
allenai/sciq_4134 | allenai/sciq | What are atoms called when they have the same number of negative electrons as positive protons in an electrical charge?
A. static
B. positive
C. neutral
D. negative | C. neutral | Atoms are neutral in electrical charge because they have the same number of negative electrons as positive protons. Therefore, the atomic number of an atom also tells you how many electrons the atom has. This, in turn, determines many of the atom’s properties. | high_school_chemistry | chemistry | |
NLP4Education_337 | NLP4Education | Your aim is to evaluate a Tweet analysis system, the purpose of which is to detect whether a tweet is offensive. For each Tweet processed, such a system outputs one of the following classes: "hateful", "offensive" and "neutral". To perform your evaluation, you collect a large set of Tweets and have it annotated by two ... | D. precision and recall | machine_learning | computer_science | ||
aquarat_61973 | deepmind/aqua_rat | Find the number of ways in which 4 different beads can be arranged to form a necklace. | A. 30 B. 20 C. 3 D. 60 E. 80 | C. 3 | Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,4 beads can be arranged to form a necklace in(4-1)! /2ways
= 3*2/2 = 3 ways
Answer is C | college_mathematics | mathematics |
math_2227 | math_mc | If
\[\frac{\sin^4 \theta}{a} + \frac{\cos^4 \theta}{b} = \frac{1}{a + b},\]then find the value of
\[\frac{\sin^8 \theta}{a^3} + \frac{\cos^8 \theta}{b^3}\]in terms of $a$ and $b.$ | A | math_Precalculus | mathematics | ||
mmlu_aux_train_41012 | mmlu_aux_train | As most university students are packing their bags,boarding trains or flying home for the Spring Festival,some will stay behind to spend the holiday on campus. Zhou Yunyun,22,a senior finance major at Jilin University,has decided that instead of traveling to Hainan province,he will kill the time by playing computer gam... | D. He will spend the Spring Festival with on-line friends. | high_school_computer_science | computer_science | ||
pythonio_116 | pythonio-mc | Program:
def Split(list):
od_li = []
for i in list:
if (i % 2 != 0):
od_li.append(i)
return od_li
Input:
Split([7,8,9,1])
Output: | B | code | computer_science | ||
math_1676 | math_mc | Consider a string of $n$ $7$'s, $7777\cdots77,$ into which $+$ signs are inserted to produce an arithmetic expression. For example, $7+77+777+7+7=875$ could be obtained from eight $7$'s in this way. For how many values of $n$ is it possible to insert $+$ signs so that the resulting expression has value $7000$?
| C | math_Number Theory | mathematics | ||
math_341 | math_mc | What is the largest three-digit integer whose digits are distinct and form a geometric sequence? | A | math_Algebra | mathematics | ||
NLP4Education_117 | NLP4Education | Which of the following statements is wrong regarding RDF?
A. An RDF statement can be represented as a tuple in an SQL table.
B. Blank nodes in RDF graphs are equivalent to the special value NULL in SQL.
C. The object of an RDF type statement is analogous to a table name in SQL.
D. RDF graphs can be stored using SQL dat... | B. Blank nodes in RDF graphs are equivalent to the special value NULL in SQL. | college_computer_science | computer_science | ||
NLP4Education_74 | NLP4Education | Consider the loss function $L: \R^d \to \R$, $L(\wv) = \frac{\eta}{2}\|\wv\|^2$, where $\eta > 0$ is a constant. We run gradient descent on $L$ with a stepsize $\gamma > 0$ starting from some $\wv_0 \neq 0$. Which of the statements below is true?
A. Gradient descent converges to the global minimum for any stepsize $\ga... | D. Gradient descent converges to the global minimum for any stepsize in the interval $\gamma \in \left( 0, \frac{2}{\eta} \right)$. | machine_learning | computer_science | ||
pythonio_51 | pythonio-mc | Program:
def capitalize_first_last_letters(str1):
str1 = result = str1.title()
result = ""
for word in str1.split():
result += word[:-1] + word[-1].upper() + " "
return result[:-1]
Input:
capitalize_first_last_letters("Hadoop")
Output: | B | code | computer_science | ||
allenai/sciq_11652 | allenai/sciq | Convex lenses are thicker in the middle than at the edges so they cause rays of light to converge, or meet, at a point called what?
A. the center
B. the apex
C. the base
D. focus | D. focus | Convex lenses are thicker in the middle than at the edges. They cause rays of light to converge, or meet, at a point called the focus (F). Convex lenses form either real or virtual images. It depends on how close an object is to the lens relative to the focus. Figure below shows how a convex lens works. You can also in... | high_school_physics | physics | |
math_60 | math_mc | Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$. Find the sum of all possible values of $g(25)$. | B | math_Algebra | mathematics | ||
mmlu_aux_train_85279 | mmlu_aux_train | Four friends live in a small town. Their names are Cook, Miller, Smith, and Carter. They have different jobs. One is a policeman, one is a carpenter , one is a farmer, and one is a doctor. One day Cook's son broke his right leg, and Cook took him to the doctor. The doctor's sister is Smith's wife. The farmer isn't mar... | C. Carter | formal_logic | mathematics | ||
mmlu_aux_train_92768 | mmlu_aux_train | Which energy type is common enough in Nevada to make a significant contribution to the renewable energy needs of the state?
A. coal
B. geothermal
C. natural gas
D. petroleum | B. geothermal | high_school_physics | physics | ||
math_832 | math_mc | The water tank in the diagram below is in the shape of an inverted right circular cone. The radius of its base is 16 feet, and its height is 96 feet. The water in the tank is $25\%$ of the tank's capacity. The height of the water in the tank can be written in the form $a\sqrt[3]{b}$, where $a$ and $b$ are positive int... | D | math_Geometry | mathematics | ||
math_417 | math_mc | For what value of $c$ will the circle with equation $x^2 + 6x + y^2 - 4y + c = 0$ have a radius of length 4? | A | math_Algebra | mathematics | ||
math_526 | math_mc | 2 diagonals of a regular heptagon (a 7-sided polygon) are chosen. What is the probability that they intersect inside the heptagon? | D | math_Counting & Probability | mathematics | ||
aquarat_11411 | deepmind/aqua_rat | If CRY is coded as MRYC then how will GET be coded? | A. MTEG B. MGET C. MEGT D. METG E. None of these | D. METG | The letters of word (1)(2)(3) is written by prefixing M and ordering letters
(2)(3)(1)
So GET= METG
ANSWER:D | formal_logic | mathematics |
aquarat_84423 | deepmind/aqua_rat | In a survey of 330 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured? | A. 37/66 B. 8/41 C. 9/348 D. 1/8 E. 41/91 | A. 37/66 | ---------UI----------------NUI-------Total
PT----(12.5/100)*104 = 13----------- --54
NPT---104-13-------------- x--------276
Total--104----------------------------330
we have to find not part time and not uninsured . in other words not part time and insured = x/330 = (276-104+13)/330
= 37/66
Answer is A. | high_school_statistics | mathematics |
math_279 | math_mc | What is the domain of the function $$w(x) = \sqrt{x-2} + \sqrt[3]{x-3}~?$$ Express your answer in interval notation. | A | math_Algebra | mathematics | ||
pythonio_94 | pythonio-mc | Program:
def flatten_tuple(test_list):
res = ' '.join([idx for tup in test_list for idx in tup])
return (res)
Input:
flatten_tuple([('1', '4', '6'), ('5', '8'), ('2', '9'), ('1', '10')])
Output: | A | code | computer_science | ||
mmlu_aux_train_2217 | mmlu_aux_train | A student mixed salt and sugar. Which statement describes the physical properties of salt and sugar after they were mixed?
A. The sugar dissolved the salt.
B. The salt and sugar changed color.
C. The sugar and the salt were unchanged.
D. The salt and sugar formed a new material. | C. The sugar and the salt were unchanged. | high_school_chemistry | chemistry | ||
allenai/sciq_6359 | allenai/sciq | What is any nonmetallic, inorganic solid that is strong enough for use in structural applications called?
A. ceramic
B. glass
C. metallic
D. tissue | A. ceramic | Ceramics A ceramic is any nonmetallic, inorganic solid that is strong enough for use in structural applications. Traditional ceramics, which are based on metal silicates or aluminosilicates, are the materials used to make pottery, china, bricks, and concrete. Modern ceramics contain a much wider range of components and... | college_chemistry | chemistry | |
mmlu_aux_train_90664 | mmlu_aux_train | This summer, Liu Hongcan, a 30-year-old Chongqing woman, had to say goodbye to her daughter again. She sent her little girl to Guizhou province to stay with her daughter's grandparents for the summer vacation _ in Chongqing. A list of "hottest cities" in China came out last month. Chongqing is No.1 on the list. Fuzho... | C. Chongqing, Fuzhou, Hangzhou, Ningbo | high_school_statistics | mathematics | ||
math_1068 | math_mc | A plane intersects a right circular cylinder of radius $1$ forming an ellipse. If the major axis of the ellipse of $50\%$ longer than the minor axis, the length of the major axis is
$\textbf{(A)}\ 1\qquad \textbf{(B)}\ \frac{3}{2}\qquad \textbf{(C)}\ 2\qquad \textbf{(D)}\ \frac{9}{4}\qquad \textbf{(E)}\ 3$
| A | math_Geometry | mathematics | ||
mmlu_aux_train_93097 | mmlu_aux_train | What is the main source of energy that drives all weather patterns?
A. the Sun
B. oceans
C. the Moon
D. mountains | A. the Sun | conceptual_physics | physics | ||
math_54 | math_mc | Suppose a function $f(x)$ is defined on the domain $[-8,4]$. If we define a new function $g(x)$ by $$g(x) = f(-2x),$$ then what is the domain of $g(x)$? Express your answer in interval notation. | D | math_Algebra | mathematics | ||
math_1690 | math_mc | A book has 136 pages. Each page has the same number of words, and each page has no more than 100 words on it. The number of words in the book is congruent to 184, modulo 203. How many words are on each page? | A | math_Number Theory | mathematics | ||
mmlu_aux_train_38496 | mmlu_aux_train | To get cash out in the 21st century, you won't need a bank card, a PIN or even have to move a finger. You will simply have to look the cash machine straight in the eye, declares National Cash Registers, a multinational company that makes automated teller machines, or ATMs. NCR has shown its first example machine that ... | C. A new type of cash machine | computer_security | computer_science | ||
NLP4Education_181 | NLP4Education | In deep learning, which of these are hyper-parameters?
A. The learning rate
B. The weights $\mathbf{W}^{[l]}$ and biases $\mathbf{b}^{[l]}$
C. The output of a layer
D. The activations of the network | A. The learning rate | machine_learning | computer_science | ||
math_896 | math_mc | Charlyn walks completely around the boundary of a square whose sides are each 5 km long. From any point on her path she can see exactly 1 km horizontally in all directions. What is the area of the region consisting of all points Charlyn can see during her walk, expressed in square kilometers and rounded to the nearest ... | C | math_Geometry | mathematics | ||
pythonio_601 | pythonio-mc | Program:
def find_Sum(arr,n):
arr.sort()
sum = arr[0]
for i in range(0,n-1):
if (arr[i] != arr[i+1]):
sum = sum + arr[i+1]
return sum
Input:
find_Sum([1,10,9,4,2,10,10,45,4],9)
Output: | D | code | computer_science | ||
math_1735 | math_mc | Sherlock Holmes and Dr. Watson recover a suitcase with a three-digit combination lock from a mathematician turned criminal. Embedded in the suitcase above the lock is the cryptic message "AT SEA BASE. SEAS EBB SEA: BASS. "
Dr. Watson comments, "This probably isn't about ocean fish. Perhaps it is an encrypted message. ... | C | math_Number Theory | mathematics | ||
allenai/sciq_3271 | allenai/sciq | What element is released into the atmosphere by the burning of fossil fuels?
A. carbon
B. helium
C. sulfur
D. oxygen | C. sulfur | water. Sulfur, critical to the 3–D folding of proteins (as in disulfide binding), is released into the atmosphere by the burning of fossil fuels, such as coal. The cycling of these elements is interconnected. For example, the movement of water is critical for the leaching of nitrogen and phosphate into rivers, lakes, a... | high_school_chemistry | chemistry | |
math_2102 | math_mc | The solid $S$ consists of the set of all points $(x,y,z)$ such that $|x| + |y| \le 1,$ $|x| + |z| \le 1,$ and $|y| + |z| \le 1.$ Find the volume of $S.$ | A | math_Precalculus | mathematics | ||
allenai/sciq_8007 | allenai/sciq | What is categorized by the forces holding the individual atoms, ions, or molecules together?
A. liquids
B. solids
C. oils
D. gases | B. solids | Solids can be categorized by the forces holding the individual atoms, ions, or molecules together. The Table below summarizes the properties of different solids:. | high_school_chemistry | chemistry | |
mmlu_aux_train_90535 | mmlu_aux_train | An astronaut's work may sound exciting, but living in space isn't as fun as you think. The website www.space.com lists the disadvantages of living in space. Here are some of them. When astronauts work outside the station during spacewalks, they have to wear special gloves. The gloves are very tight. They can hurt the a... | D. fun | astronomy | physics | ||
mmlu_aux_train_93015 | mmlu_aux_train | At what temperature does pure water boil?
A. 0°C
B. 32°C
C. 100°C
D. 212°C | C. 100°C | high_school_chemistry | chemistry | ||
pythonio_121 | pythonio-mc | Program:
def find_Odd_Pair(A,N) :
oddPair = 0
for i in range(0,N) :
for j in range(i+1,N) :
if ((A[i] ^ A[j]) % 2 != 0):
oddPair+=1
return oddPair
Input:
find_Odd_Pair([7,2,8,1,0,5,11],7)
Output: | A | code | computer_science | ||
pythonio_504 | pythonio-mc | Program:
from itertools import groupby
def consecutive_duplicates(nums):
return [key for key, group in groupby(nums)]
Input:
consecutive_duplicates(['a', 'a', 'b', 'c', 'd', 'd'])
Output: | B | code | computer_science | ||
mmlu_aux_train_27128 | mmlu_aux_train | A businessman lost his wallet. There was plenty of money in it. So he made a promise, "If someone finds my wallet and returns it to me, I'll give half the money to him." A dustman found the wallet in a dustbin. He sent it back to the loser. But the businessman changed his mind. "There was still a diamond ring in my wal... | C. was found in a dustbin | formal_logic | mathematics | ||
mmlu_aux_train_96367 | mmlu_aux_train | The moon's surface
A. features of variety of landscape features
B. is covered completely in water
C. is 100% flat and smooth
D. is 100% covered in asteroid created craters | A. features of variety of landscape features | astronomy | physics | ||
math_548 | math_mc | A standard six-sided fair die is rolled four times. The probability that the product of all four numbers rolled is a perfect square is $\tfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.
| C | math_Counting & Probability | mathematics | ||
allenai/sciq_9561 | allenai/sciq | What is the chemical name of table sugar?
A. codeine
B. potassium
C. sucrose
D. cellulose | C. sucrose | There are several dietary sources of carbohydrates. Starch is found in many vegetables (especially potatoes) and baked goods. Sucrose (table sugar) is included as part of many prepared foods. Lactose is found in milk products, and maltose is present in some vegetables. | high_school_chemistry | chemistry | |
NLP4Education_529 | NLP4Education | A hash function $h$ is collision-resistant if…
A. …given $y$, it is hard to find $x$ such that $h(x) = y$
B. …given $x$, it is hard to find $y$ such that $h(x) = y$
C. …given $x$, it is hard to find $x' \ne x$ such that $h(x) = h(x')$
D. …it is hard to find $x, x'$ such that $x \ne x'$ and $h(x) = h(x')$ | D. …it is hard to find $x, x'$ such that $x \ne x'$ and $h(x) = h(x')$ | computer_security | computer_science | ||
allenai/sciq_4902 | allenai/sciq | What were the first vertebrates to evolve?
A. shark
B. snail
C. fish
D. trees | C. fish | Fish were the first vertebrates to evolve. The earliest fish lived in the water, and modern fish are still aquatic. | high_school_biology | biology | |
mmlu_aux_train_95278 | mmlu_aux_train | At any given time on earth, some countries can be in bed and other are in the middle of the day enjoying the outdoors, why?
A. ocean tides
B. animals
C. planet rotation
D. rotation of sun | C. planet rotation | astronomy | physics | ||
pythonio_513 | pythonio-mc | Program:
def find_first_occurrence(A, x):
(left, right) = (0, len(A) - 1)
result = -1
while left <= right:
mid = (left + right) // 2
if x == A[mid]:
result = mid
right = mid - 1
elif x < A[mid]:
right = mid - 1
else:
... | D | code | computer_science | ||
math_1049 | math_mc | The adjoining figure shows two intersecting chords in a circle, with $B$ on minor arc $AD$. Suppose that the radius of the circle is $5$, that $BC=6$, and that $AD$ is bisected by $BC$. Suppose further that $AD$ is the only chord starting at $A$ which is bisected by $BC$. It follows that the sine of the central angle o... | C | math_Geometry | mathematics | ||
aquarat_1028 | deepmind/aqua_rat | Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=36, what is the maximum value of y for which f(x,y)=0? | A. 9 B. 12 C. 18 D. 20 E. 30 | E. 30 | The question is finding y such that (36-y)! is a multiple of 36. That means we need to have 2^2*3^2 in (36-y)!
6! is the smallest factorial number with 2^2*3^2 as a factor.
36-y = 6
y = 30
The answer is E. | college_mathematics | mathematics |
mmlu_aux_train_93425 | mmlu_aux_train | Wire was looped several times around an iron nail, and the wire's ends were connected to a battery. For which of these will this device most likely be used?
A. to produce a heat source
B. to demonstrate frictional forces
C. to create a magnetic field
D. to generate a sound wave | C. to create a magnetic field | electrical_engineering | engineering | ||
allenai/sciq_247 | allenai/sciq | The simplest class of organic compounds is the what?
A. gas
B. particles
C. Phenols
D. hydrocarbons | D. hydrocarbons | isolating the individual components, preservationists are better able to determine the condition of an object and those books and documents most in need of immediate protection. The simplest class of organic compounds is the hydrocarbons, which consist entirely of carbon and hydrogen. Petroleum and natural gas are comp... | high_school_chemistry | chemistry | |
allenai/sciq_10119 | allenai/sciq | What type of machines generally have lower efficiency but greater mechanical advantage?
A. calculation machines
B. radical machines
C. compound machines
D. simple machines | C. compound machines | Compound machines generally have lower efficiency but greater mechanical advantage than simple machines. | conceptual_physics | physics | |
allenai/sciq_3747 | allenai/sciq | The muscles of the anterior compartment of the lower leg are generally responsible for dorsiflexion, and the muscles of the posterior compartment of the lower leg are generally responsible for this?
A. posterior flexion
B. plantar flexion
C. ganglion flexion
D. walking flexion | B. plantar flexion | Figure 11.32 Muscles of the Lower Leg The muscles of the anterior compartment of the lower leg are generally responsible for dorsiflexion, and the muscles of the posterior compartment of the lower leg are generally responsible for plantar flexion. The lateral and medial muscles in both compartments invert, evert, and r... | anatomy | biology | |
allenai/sciq_5259 | allenai/sciq | What is rusting an example of?
A. contamination change
B. Decomposition
C. radiation change
D. chemical change | D. chemical change | Comets carry materials in from the outer solar system. Comets may have brought water into the early Earth. Other substances could also have come from comets. | high_school_chemistry | chemistry | |
math_1301 | math_mc | Find the number of functions of the form $f(x) = ax^2 + bx + c$ such that
\[f(x) f(-x) = f(x^2).\] | B | math_Intermediate Algebra | mathematics | ||
math_492 | math_mc | A drawer in a darkened room contains $100$ red socks, $80$ green socks, $60$ blue socks and $40$ black socks. A youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. What is the smallest number of socks that must be selected to guarantee that the selection contains at ... | A | math_Counting & Probability | mathematics | ||
mmlu_aux_train_50781 | mmlu_aux_train | A new smart phone system under development can locate you even when you're inside a building, which GPS can't do. While the concept sounds powerful, it's not yet clear how practical it might be. The set-up, called SurroundSense, sends information from cameras and microphones--gear in the latest smart phones--to a serve... | A. To get a reasonable result. | college_computer_science | computer_science | ||
aquarat_70500 | deepmind/aqua_rat | For which of the following functions f is f(z) = f(1-z) for all z? | A. f (x) = 1 - x B. f (z) = 1 - z^2 C. f (z) = z^2 - (1 - z)^2 D. f (z) = z^2*(1 - z)^2 E. f (x) = x/(1 - x) | D. f (z) = z^2*(1 - z)^2 | I remember seeing this problem in a GMATprep test. I think choice D should be F(z)=(z^2) (1-z)^2. If that is true then substituting (1-z) for will give us the same function back and the answer choice is D, where the function is multiplicative | college_mathematics | mathematics |
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