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_97023 | mmlu_aux_train | What might cause a change in the Earth's surface?
A. Plastic Bottles
B. Happiness
C. Love
D. Sadness | A. Plastic Bottles | earth_science | earth_science | ||
pythonio_678 | pythonio-mc | Program:
def sum_column(list1, C):
result = sum(row[C] for row in list1)
return result
Input:
sum_column( [[1,2,3,2],[4,5,6,2],[7,8,9,5],],0)
Output: | D | code | computer_science | ||
mmlu_aux_train_96558 | mmlu_aux_train | Kiln fired clay ingots can insulate from
A. ionic discharge
B. falling meteors
C. snowmen
D. underground rivers | A. ionic discharge | high_school_chemistry | chemistry | ||
pythonio_600 | 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([1,2,3,1,1,4,5,6],8)
Output: | B | code | computer_science | ||
math_1633 | math_mc | Let $S$ denote the sum of all of the three digit positive integers with three distinct digits. Compute the remainder when $S$ is divided by $1000$.
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_93305 | mmlu_aux_train | Over time, non-volcanic mountains can form due to the interaction of plate boundaries. Which interaction is most likely associated with the formation of non-volcanic mountains?
A. oceanic plates colliding with oceanic plates
B. oceanic plates separating from oceanic plates
C. continental plates colliding with continen... | C. continental plates colliding with continental plates | college_geology | earth_science | ||
NLP4Education_229 | NLP4Education | Given a matrix $X_m$ of shape $D\times N$ with a singular value decomposition (SVD), $X = USV^\top$, suppose $X_m$ has rank $K$ and $A_m = X_m X_m^\top$. Which one of the following statements is \textbf{false}?
A. The eigenvalues of $A_m$ are the singular values of $X_m$.
B. $A_m$ is positive semi-definite, i.e., all e... | A. The eigenvalues of $A_m$ are the singular values of $X_m$. | college_mathematics | mathematics | ||
mmlu_aux_train_1353 | mmlu_aux_train | A cupful of water and a similar cupful of gasoline were placed on a table near a window on a hot sunny day. A few hours later it was observed that both the cups had less liquid in them but that there was less gasoline left than water. What does this experiment show?
A. All liquids evaporate.
B. Gasoline gets hotter th... | C. Some liquids evaporate faster than others. | conceptual_physics | physics | ||
math_1914 | math_mc | Four of the six numbers 1867, 1993, 2019, 2025, 2109, and 2121 have a mean (average) of 2008. What is the mean (average) of the other two numbers? | C | math_Prealgebra | mathematics | ||
math_879 | math_mc | A can is in the shape of a right circular cylinder. The circumference of the base of the can is 12 inches, and the height of the can is 5 inches. A spiral strip is painted on the can in such a way that it winds around the can exactly once as it reaches from the bottom of the can to the top. It reaches the top of the ca... | C | math_Geometry | mathematics | ||
mmlu_aux_train_16468 | mmlu_aux_train | Are animal brains too simple for thoughts and choices? Stories about animal kindness have really changed my point of view. In fact, some stories are amazing, especially when animals are meeting with people. Here are two stories that interest me. James, a wildlife writer, told a story that an African woman had placed ... | B. Animals brains are too simple to make choices. | high_school_biology | biology | ||
aquarat_34899 | deepmind/aqua_rat | There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the... | A. monday B. tuesday C. tuWesday D. wednesday E. friday | A. monday | From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.
Answer:A | formal_logic | mathematics |
pythonio_538 | pythonio-mc | Program:
def divisible_by_digits(startnum, endnum):
return [n for n in range(startnum, endnum+1) \
if not any(map(lambda x: int(x) == 0 or n%int(x) != 0, str(n)))]
Input:
divisible_by_digits(1,15)
Output: | C | code | computer_science | ||
mmlu_aux_train_96459 | mmlu_aux_train | What displays the movement of electrons from the base atoms?
A. venus
B. mercury
C. plasma star
D. pluto | C. plasma star | high_school_physics | physics | ||
mmlu_aux_train_39190 | mmlu_aux_train | When Babbage was working atprefix = st1 /Cambridge, a new idea occurred to him. He wanted to construct a calculating machine to work out the solutions to maths problems not only with correctness but also with a speed beyond the power of any human mind. His machine could solve problems involving long rows of figures in ... | D. in one operation without any mistakes | high_school_computer_science | computer_science | ||
allenai/sciq_8099 | allenai/sciq | The various sensory organs are part of what organ system?
A. digestive
B. lymphatic
C. nervous
D. respiratory | C. nervous | Sensory organs such as the eyes and ears are part of the nervous system. The nervous system controls all other body systems. However, the nervous system doesn’t work alone. The endocrine system also helps to regulate the body and its functions. | high_school_biology | biology | |
mmlu_aux_train_63266 | mmlu_aux_train | When I was at University I studied very hard. But a lot of my friends did very little work. Some did just enough to pass exams. Others didn't do quite enough. Fred Baines was one of them. He spent more time playing than working in the library. Once at the end of the term, we had to take an important test in chemistry. ... | C. good exam results really need studying hard | college_chemistry | chemistry | ||
mmlu_aux_train_83579 | mmlu_aux_train | How could we live without the Internet? That's how most of us keep in touch with friends, find homework support, research cool place to visit, or find out the latest news. You can use it to do research for school, find out what movie is on near you, check out a college you're thinking about, or find a job or volunteer ... | C. Do homework | computer_security | computer_science | ||
allenai/sciq_6186 | allenai/sciq | Displacement is a vector quantity, which means it has both direction and what else?
A. radiation
B. waves
C. magnitude
D. rate | C. magnitude | What is the difference between distance and displacement? Whereas displacement is defined by both direction and magnitude, distance is defined only by magnitude. Displacement is an example of a vector quantity. Distance is an example of a scalar quantity. A vector is any quantity with both magnitude and direction. Othe... | high_school_physics | physics | |
math_1584 | math_mc | A rectangular array of chairs is an arrangement of the chairs in rows and columns such that each row contains the same number of chairs as every other row and each column contains the same number of chairs as every other column. If there must be at least two chairs in every row and column and all of the chairs in the ... | D | math_Number Theory | mathematics | ||
math_338 | math_mc | Compute the domain of the real-valued function $$f(x)=\sqrt{3-\sqrt{5-\sqrt{x}}}.$$ | A | math_Algebra | mathematics | ||
allenai/sciq_1727 | allenai/sciq | Which atomic model shows that the distances of electrons from the nucleus is not a fixed value?
A. the equivocation model
B. the quantum model
C. the electron model
D. the distance model | B. the quantum model | In the Bohr model, the atom is viewed as a densely packed nucleus comprised of neutrons and protons that is surrounded by electrons at fixed distances, which correspond to specific energy levels. However, the quantum model showed that the distances between electrons and the nucleus are not really fixed. Due to their wa... | high_school_physics | physics | |
allenai/sciq_8065 | allenai/sciq | Attraction of a material by a magnet is an example of what type of property?
A. physical
B. thermal
C. chemical
D. transitive | A. physical | Iron filings are attracted by a magnet. This is a physical property of iron but not of most other materials, including sand. How could you use this difference in physical properties to separate a mixture of iron filings and sand?. | high_school_chemistry | chemistry | |
math_1581 | math_mc | If we let $f(n)$ denote the sum of all the positive divisors of the integer $n$, how many integers $i$ exist such that $1 \le i \le 2010$ and $f(i) = 1 + \sqrt{i} + i$? | A | math_Number Theory | mathematics | ||
allenai/sciq_4028 | allenai/sciq | What type of systemic response involves lymphocytes?
A. inflammation
B. immune
C. natural
D. chronic | B. immune | There are two different types of immune responses. Both types involve lymphocytes. However, one type of response involves B cells. The other type involves T cells. | high_school_biology | biology | |
NLP4Education_439 | NLP4Education | Given an odd prime $p$, for any $a \in \mathbb{Z}_p$ the equation $x^2 - a = 0$:
A. always has a solution.
B. has exactly two solutions.
C. has at most two solutions.
D. may have four solutions. | C. has at most two solutions. | abstract_algebra | mathematics | ||
allenai/sciq_2296 | allenai/sciq | An atom can be classified as a particular element based solely on its what?
A. ability
B. atomic number
C. light number
D. spectrum | B. atomic number | The atomic number of an element is the number of protons in the nucleus of each atom of that element. An atom can be classified as a particular element based solely on its atomic number. For example, any atom with an atomic number of 8 (its nucleus contains 8 protons) is an oxygen atom, and any atom with a different nu... | high_school_chemistry | chemistry | |
aquarat_76394 | deepmind/aqua_rat | Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 25
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 71 scores? | A. a) 60-69 B. b) 70-79 C. c) 80-89 D. d) 90-99 E. e) Cannot determine. | C. c) 80-89 | 36th person
80-89 C | high_school_statistics | mathematics |
aquarat_56288 | deepmind/aqua_rat | Which of the following can be a perimeter e of a triangle inscribed in a circle of radius 1?
I. 0.001
II. 0.010
III. 0.100 | A. I only B. III only C. II and III only D. I, II, and III E. Not I, II, or III | D. I, II, and III | Yes,the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
But how do you use the above property to solve the question?
The lower limit of the perimeter of an inscribed triangle in a circle of ANY radius is 0: e>0.
Answer... | college_mathematics | mathematics |
allenai/sciq_9800 | allenai/sciq | What falls roughly in the middle of the electromagnetic spectrum, having shorter wavelengths and higher frequencies than microwaves, but not as short and high as x rays?
A. light
B. gamma rays
C. ultraviolet light
D. radio waves | A. light | Light includes infrared light, visible light, and ultraviolet light. As you can see from the Figure above , light falls roughly in the middle of the electromagnetic spectrum. It has shorter wavelengths and higher frequencies than microwaves, but not as short and high as X rays. | conceptual_physics | physics | |
pythonio_856 | pythonio-mc | Program:
def multiply_list(items):
tot = 1
for x in items:
tot *= x
return tot
Input:
multiply_list([3,1,2,3])
Output: | A | code | computer_science | ||
NLP4Education_232 | NLP4Education | Which statement about \textit{black-box} adversarial attacks is true:
A. They require access to the gradients of the model being attacked.
B. They are highly specific and cannot be transferred from a model which is similar to the one being attacked.
C. They cannot be implemented via gradient-free (e.g., grid search or ... | D. They can be implemented using gradient approximation via a finite difference formula. | computer_security | computer_science | ||
aquarat_6837 | deepmind/aqua_rat | A 3% stock produces 10%. The market value of the stock is: | A. Rs. 15 B. Rs. 25 C. Rs. 20 D. Rs. 30 E. Rs. 40 | D. Rs. 30 | Let the face value of the product is Rs.100
It stock Rs.3
Market value of the stock=(3/10)*100=Rs.30
ANSWER:D | college_mathematics | mathematics |
allenai/sciq_66 | allenai/sciq | What consequence of a tornado is responsible for most injuries and deaths?
A. flying debris
B. catching debris
C. falling debris
D. touring debris | A. flying debris | A tornado only strikes a small area. But it can destroy everything in its path. Most injuries and deaths from tornadoes are caused by flying debris ( Figure below ). In the United States, an average of 90 people are killed by tornadoes each year. The most violent two percent of tornadoes account for 70% of the deaths b... | high_school_physics | physics | |
math_47 | math_mc | Suppose that we have an equation $y=ax^2+bx+c$ whose graph is a parabola with vertex $(3,2)$, vertical axis of symmetry, and contains the point $(1,0)$.
What is $(a, b, c)$? | B | math_Algebra | mathematics | ||
allenai/sciq_7668 | allenai/sciq | What law explains why some objects float and some sink.
A. flanges ' law
B. montenegrins ' law
C. archimedes' law
D. newton's law | C. archimedes' law | Archimedes’ law explains why some objects float in fluids even though they are very heavy. It all depends on how much fluid they displace. The cruise ship pictured in the opening image is extremely heavy, yet it stays afloat. If a steel ball with the same weight as the ship were placed in water, it would sink to the bo... | conceptual_physics | physics | |
NLP4Education_227 | NLP4Education | What is the gradient of $\mathbf{x}^{\top} \mathbf{W} \mathbf{x}$ with respect to all entries of $\mathbf{W}$ (written as a matrix)?
A. $\mathbf{W} \mathbf{x}$
B. $\mathbf{x}^{\top} \mathbf{x}$
C. $\mathbf{x} \mathbf{x}^{\top}$
D. $\mathbf{W}$ | C. $\mathbf{x} \mathbf{x}^{\top}$ | college_mathematics | mathematics | ||
math_782 | math_mc | In square $ABCD$, points $E$ and $H$ lie on $\overline{AB}$ and $\overline{DA}$, respectively, so that $AE=AH.$ Points $F$ and $G$ lie on $\overline{BC}$ and $\overline{CD}$, respectively, and points $I$ and $J$ lie on $\overline{EH}$ so that $\overline{FI} \perp \overline{EH}$ and $\overline{GJ} \perp \overline{EH}$. ... | D | math_Geometry | mathematics | ||
allenai/sciq_2205 | allenai/sciq | Plastics are common examples of synthetic polymers of what abundant element?
A. carbon
B. hydrogen
C. silicon
D. silver | A. carbon | Synthetic carbon polymers are produced in labs or factories. Plastics are common examples of synthetic carbon polymers. You are probably familiar with the plastic called polyethylene. All of the plastic items pictured in the Figure below are made of polyethylene. It consists of repeating monomers of ethylene (C 2 H 4 )... | high_school_chemistry | chemistry | |
allenai/sciq_4655 | allenai/sciq | When iron and sulfur are mixed together in a certain ratio and heated, what do they become?
A. rust
B. iron oxide
C. iron sulfide
D. sulfuric acid | C. iron sulfide | When iron and sulfur are mixed together in a certain ratio and heated, a chemical reaction occurs. This results in the formation of a unique new compound, called iron sulfide (FeS). A magnet cannot be used to mechanically separate the iron from the iron sulfide because metallic iron does not exist in the compound. Inst... | high_school_chemistry | chemistry | |
NLP4Education_18 | NLP4Education | In JOS, after finishing the execution of a user-level page fault handler, how is the program control flow transferred back to the program? (You may get insights from the code snippet of _pagefault_upcall.)
A. The control flow will be transferred to kernel first, then to the environment that caused the page fault.
B. Th... | D. The control flow will be transferred to the environment that caused the page fault directly. | college_computer_science | computer_science | ||
pythonio_623 | pythonio-mc | Program:
def new_tuple(test_list, test_str):
res = tuple(test_list + [test_str])
return (res)
Input:
new_tuple(["WEB", "is"], "best")
Output: | D | code | computer_science | ||
mmlu_aux_train_96742 | mmlu_aux_train | A vehicle rounds a corner and slips, squealing. The tires at that point experienced
A. less friction
B. more friction
C. free falling
D. zero friction | B. more friction | high_school_physics | physics | ||
mmlu_aux_train_39145 | mmlu_aux_train | As every computer owner knows, when their machines run a complex program they get pretty hot. In fact, cooling the processors can be expensive, especially when you're dealing with huge banks of computer servers. But what if that energy could heat private homes? A Dutch energy firm aims to do just that. Data centers of ... | C. Computer servers generate large quantities of heat. | computer_security | computer_science | ||
mmlu_aux_train_18811 | mmlu_aux_train | Dear Mr. Smith, I am seeking an opportunity to work with World Destiny as a Computer Systems Manager. My professional experience and my awareness of your high reputation and great achievements have led me to want to work for World Destiny. Since 1998 I have focused on computer-system design and training. As Systems Adm... | C. Systems Administrator for Newport Museum | high_school_computer_science | computer_science | ||
aquarat_46105 | deepmind/aqua_rat | If APPLE is coded as 0 and FLOWER is coded as 63, then BASKET is coded as | A. 2 B. 19 C. 35 D. 40 E. None | D. 40 | APPLE = 1+16+16+12+5=50 i.e 5*0=0
FLOWER = 6+12+15+23+5+18=79 i.e 7*9=63
BASKET =2+1+19+11+5+20=58 5*8=40
ANSWER:D | formal_logic | mathematics |
math_1993 | math_mc | A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called 'hearts' and 'diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called 'spades' and 'clubs') are black. The cards in the deck are placed in random order (usu... | B | math_Prealgebra | mathematics | ||
allenai/sciq_7194 | allenai/sciq | Alveolar ducts and broncioles are developing parts of what organ system?
A. digestive
B. nervous
C. respiratory
D. immune | C. respiratory | Weeks 16–24 Once the respiratory bronchioles form, further development includes extensive vascularization, or the development of the blood vessels, as well as the formation of alveolar ducts and alveolar precursors. At about week 19, the respiratory bronchioles have formed. In addition, cells lining the respiratory str... | college_biology | biology | |
allenai/sciq_7676 | allenai/sciq | What do you call a substance that cannot be separated into smaller pieces, which is also defined by the number of protons it has?
A. electrol
B. atom
C. element
D. molecule | C. element | element: A substance that cannot be separated into smaller pieces. Defined by how many protons it has. | high_school_chemistry | chemistry | |
mmlu_aux_train_38453 | mmlu_aux_train | The Internet can be a great way to connect with people. The latest web craze is social networking on websites such as MySpace. More than 65 million young people use online social networking sites. That cyberspace trend is causing problems in school, however. In a recent survey, nearly 36 percent of school administrato... | D. At home. | high_school_computer_science | computer_science | ||
math_301 | math_mc | A point $(x,y)$ is a distance of 12 units from the $x$-axis. It is a distance of 10 units from the point $(1,6)$. It is a distance $n$ from the origin. Given that $x>1$, what is $n$? | D | math_Algebra | mathematics | ||
NLP4Education_542 | NLP4Education | Which of these primitives can be surely considered insecure today?
A. Symmetric key encryption with an 82 bit key.
B. RSA encryption scheme with a 1613 bit modulus.
C. A signature scheme based on a random elliptic curve over a finite field $\mathrm{GF}(q)$ of cardinality $q > 2^{200}$.
D. Diffie-Hellman key exchange ov... | D. Diffie-Hellman key exchange over a prime-order subgroup of $\mathbb{Z}_p^*$ that has order $\approx 2^{200}$ with a prime $p$ of $512$ bits. | computer_security | computer_science | ||
allenai/sciq_8356 | allenai/sciq | What forms in the ocean from the seafloor spreading?
A. tsunamis
B. underwater volcanoes
C. new oceanic crust
D. earthquakes | C. new oceanic crust | In the oceans, plates move apart at mid-ocean ridges. Lava rises upward, erupts, and cools. Later, more lava erupts and pushes the original seafloor outward. This is seafloor spreading. Seafloor spreading forms new oceanic crust. The rising magma causes the ridge to be buoyant. This is why there is a mountain range run... | earth_science | earth_science | |
mmlu_aux_train_49693 | mmlu_aux_train | Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are 4 choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage. "Excuse me",said a young man,standing shyly at the open chur... | B. there would be Easter baskets for children | high_school_computer_science | computer_science | ||
allenai/sciq_11048 | allenai/sciq | What bonds result from the overlap of atomic orbitals?
A. hydrogen
B. covalents
C. valent
D. metallic | B. covalents | Covalent bonds result from the overlap of atomic orbitals. | college_chemistry | chemistry | |
pythonio_189 | pythonio-mc | Program:
def catalan_number(num):
if num <=1:
return 1
res_num = 0
for i in range(num):
res_num += catalan_number(i) * catalan_number(num-i-1)
return res_num
Input:
catalan_number(7)
Output: | A | code | computer_science | ||
aquarat_39772 | deepmind/aqua_rat | For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation? | A. 1 B. (-3.5)^2 C. 3 D. 4 E. 5 | B. (-3.5)^2 | Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4.5
Step 2, For each number: subtract the Mean and square the result =
(1-4.5)^2=(-3.5)^2
(2-4.5)^2=(-2.5)^2
(3-4.5)^2 =(-1.5)^2
(4-4.5)^2=(.5)^2
(5-4.5)^2=(.5)^2
Clearly (1-4.5)^2=(-3.5)^2 will give you the greatest value among all the othe... | high_school_statistics | mathematics |
mmlu_aux_train_95197 | mmlu_aux_train | celestial bodies are known to
A. circle balls of hydrogen
B. travel through deep space
C. crash into each other
D. slingshot around the galaxy | A. circle balls of hydrogen | astronomy | physics | ||
math_790 | math_mc | The measures of angles $A$ and $B$ are both positive, integer numbers of degrees. The measure of angle $A$ is a multiple of the measure of angle $B$, and angles $A$ and $B$ are complementary angles. How many measures are possible for angle $A$? | B | math_Geometry | mathematics | ||
math_138 | math_mc | Laura is training for a triathlon, but she doesn't feel like swimming. She bikes $20$ miles at $2x+1$ miles per hour, spends five minutes parking her bike, changing to her running shoes, and catching a drink of water, and then runs $5$ miles at $x$ miles per hour. Her total workout lasts $110$ minutes. How fast did Lau... | D | math_Algebra | mathematics | ||
math_55 | math_mc | What is the intersection of the lines given by $2y=-x+3$ and $-y=5x+1$? Enter the answer as an ordered pair. | C | math_Algebra | mathematics | ||
mmlu_aux_train_1505 | mmlu_aux_train | Sand and iron particles that are similar in size and color are mixed together in a beaker. What would be the best method of separating the particles?
A. Use tweezers to separate them.
B. Use a magnet to separate them.
C. Add water to the mixture.
D. Pour the mixture into a filter. | B. Use a magnet to separate them. | high_school_chemistry | chemistry | ||
math_1884 | math_mc | The figure shows rectangle $ABCD$ with segment $PQ$ dividing the rectangle into two congruent squares. How many right triangles can be drawn using three of the points $\{A,P,B,C,Q,D\}$ as vertices? [asy]
draw((0,0)--(8,0)--(8,4)--(0,4)--cycle);
draw((4,0)--(4,4));
label("D",(0,0),S);
label("Q",(4,0),S);
label("C",(8,0)... | C | math_Prealgebra | mathematics | ||
allenai/sciq_5728 | allenai/sciq | Both endocytosis and ______ are active transport processes.
A. exocytosis
B. biosynthesis
C. cellular respiration
D. proteolysis | A. exocytosis | Both endocytosis and exocytosis are active transport processes. | college_biology | biology | |
NLP4Education_417 | NLP4Education | Select the \emph{weakest} algorithm.
A. A5/4
B. A5/2
C. A5/3
D. A5/1 | B. A5/2 | computer_security | computer_science | ||
mmlu_aux_train_79231 | mmlu_aux_train | Zhalong is a nature reserve in Heilongjiang in northeast China. It is one of the world's most important wetlands*. The reserve offers food and places to live in for wildlife. It is an _ home for different kinds of plants, fish and birds. Many birds live comfortably in Zhalong Nature Reserve all year round, but some onl... | D. Because their living place is less and less. | high_school_biology | biology | ||
mmlu_aux_train_78545 | mmlu_aux_train | Winter solstice, as the name shows, means the coming of winter. As an important solar term in the traditional Chinese calendar, it is also a traditional holiday for Chinese, which is also called "", "","", etc. Generally, winter solstice occurs between December 21st and 23rd. According to the traditional Chinese calend... | C. twenty-four | astronomy | physics | ||
aquarat_36577 | deepmind/aqua_rat | A town consists of only one street in the form of a circle. The town authorities give out four licenses for a particular kind of business. The inhabitants of the town live in equal density along the circle and will always go to the closest business for what they need. Business A gets to choose a location first, then bu... | A. more then 1/3 B. barely less then 1/3 C. less then 2/3 D. more then 2/3 E. more then 3/3 | B. barely less then 1/3 | The answer is just barely less then 1/3 of the circumference of the circle away from A.
This is only a quick overview of the solution, the details are left up to you. Let the circumference of the circle be 1 and that A chooses a location at point 0. Business D will choose a location in the middle of the largest section... | college_mathematics | mathematics |
math_718 | math_mc | Triangle $ABC$ has sides $\overline{AB}$, $\overline{BC}$, and $\overline{CA}$ of length 43, 13, and 48, respectively. Let $\omega$ be the circle circumscribed around $\triangle ABC$ and let $D$ be the intersection of $\omega$ and the perpendicular bisector of $\overline{AC}$ that is not on the same side of $\overline{... | B | math_Geometry | mathematics | ||
math_1827 | math_mc | Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.) | B | math_Prealgebra | mathematics | ||
math_1849 | math_mc | Two years ago there were 20 trailer homes on Elm Street with an average age of 18 years. At that time, a group of brand new trailer homes was then added to Elm Street. Today, the average age of all the trailer homes on Elm Street is 14 years. How many new trailer homes were added two years ago? | C | math_Prealgebra | mathematics | ||
allenai/sciq_11110 | allenai/sciq | Radioactive isotopes are characterized by an unstable what?
A. shell
B. electrons
C. nuclei
D. proton | C. nuclei | You may have seen this sign before—maybe in a hospital. The sign means there is danger of radiation in the area. Radiation consists of particles and energy that are given off by radioactive isotopes, which have unstable nuclei. But you don’t have to go to a hospital to be exposed to radiation. There is radiation in the... | high_school_chemistry | chemistry | |
mmlu_aux_train_4739 | mmlu_aux_train | Which of these is the most responsible for the changes of the seasons on Earth?
A. Position of the Moon
B. Tilt of Earth on its axis
C. Temperature of the Sun
D. Distance to Mars | B. Tilt of Earth on its axis | astronomy | physics | ||
math_1114 | math_mc | Let $A$, $B$, $C$, and $D$ be points on a circle such that $AB = 11$ and $CD = 19.$ Point $P$ is on segment $AB$ with $AP = 6$, and $Q$ is on segment $CD$ with $CQ = 7$. The line through $P$ and $Q$ intersects the circle at $X$ and $Y$. If $PQ = 27$, find $XY$. | B | math_Geometry | mathematics | ||
pythonio_727 | pythonio-mc | Program:
def find_platform(arr, dep, n):
arr.sort()
dep.sort()
plat_needed = 1
result = 1
i = 1
j = 0
while (i < n and j < n):
if (arr[i] <= dep[j]):
plat_needed+= 1
i+= 1
elif (arr[i] > dep[j]):
plat_n... | C | code | computer_science | ||
allenai/sciq_8456 | allenai/sciq | In a tropical rainforest, where are ferns common?
A. canopy
B. forrest floor
C. emergent
D. understory | D. understory | Photography by Kat. Ferns are common in the understory of the tropical rainforest . CC BY 2.0. | high_school_biology | biology | |
pythonio_920 | pythonio-mc | Program:
def nCr_mod_p(n, r, p):
if (r > n- r):
r = n - r
C = [0 for i in range(r + 1)]
C[0] = 1
for i in range(1, n + 1):
for j in range(min(i, r), 0, -1):
C[j] = (C[j] + C[j-1]) % p
return C[r]
Input:
nCr_mod_p(11, 3, 14)
Output: | B | code | computer_science | ||
allenai/sciq_10051 | allenai/sciq | Mesophyll consists mainly of parenchyma cells specialized for what?
A. circulation
B. digestion
C. respiration
D. photosynthesis | D. photosynthesis | high_school_biology | biology | ||
math_1224 | math_mc | Let $x,$ $y,$ and $z$ be nonnegative numbers such that $x^2 + y^2 + z^2 = 1.$ Find the maximum value of
\[2xy \sqrt{6} + 8yz.\] | B | math_Intermediate Algebra | mathematics | ||
math_2157 | math_mc | The foot of the perpendicular from the origin to a plane is $(12,-4,3).$ Find the equation of the plane. Enter your answer in the form
\[Ax + By + Cz + D = 0,\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1.$ | B | math_Precalculus | mathematics | ||
math_1549 | math_mc | Find the remainder when $3^{3^{3^3}}$ is divided by 1000.
| D | math_Number Theory | mathematics | ||
math_507 | math_mc | A moving particle starts at the point $(4,4)$ and moves until it hits one of the coordinate axes for the first time. When the particle is at the point $(a,b)$, it moves at random to one of the points $(a-1,b)$, $(a,b-1)$, or $(a-1,b-1)$, each with probability $\frac{1}{3}$, independently of its previous moves. The prob... | B | math_Counting & Probability | mathematics | ||
allenai/sciq_5686 | allenai/sciq | Matter can be classified on the basis of how what interacts with it?
A. gravity
B. light
C. water
D. air | B. light | Matter can be classified on the basis of how light interacts with it. Matter may be transparent, translucent, or opaque. Each type of matter is illustrated in Figure below . | high_school_physics | physics | |
mmlu_aux_train_54670 | mmlu_aux_train | In the near future, we may be using our eyes to operate our smartphones and tablets, even when it comes to playing popular games like Fruit Ninja. The GazeGroup has been developing eye-controlled computer technology for nearly 20 years. But those devices have been mainly designed to aid those with disabilities, and... | D. It is formed to develop commercially practical eye-controlled technology. | computer_security | computer_science | ||
NLP4Education_503 | NLP4Education | Consider a blockcipher $\mathsf{B}:\mathcal{K}\times\{0,1\}^n \rightarrow \{0,1\}^n$ with $|\mathcal{K}|=N$ for which we choose a secret key $K\in\mathcal{K}$ uniformly at random. Tick the \textit{correct} assertion.
A. If $\mathsf{B}$ is secure against known-plaintext decryption attack, then it is surely secure agains... | A. If $\mathsf{B}$ is secure against known-plaintext decryption attack, then it is surely secure against ciphertext-only key recovery attack. | computer_security | computer_science | ||
mmlu_aux_train_98302 | mmlu_aux_train | If you eat food that lots of microorganisms have been on, you could get
A. float
B. Fly
C. grow a beak
D. get an ailment | D. get an ailment | high_school_biology | biology | ||
mmlu_aux_train_86937 | mmlu_aux_train | How do you study each day? You may answer it in one second: have classes at school, take notes and do homework. Feeling a little bored? There are other ways that can make learning interesting and varied. It's called digital learning. Digital learning is a way to help students learn by using the Internet. There are thre... | B. Have classes at school, take notes and do homework. | high_school_computer_science | computer_science | ||
math_1534 | math_mc | Let $S$ be a subset of $\{1,2,3,...,50\}$ such that no pair of distinct elements in $S$ has a sum divisible by $7$. What is the maximum number of elements in $S$?
$\text{(A) } 6\quad \text{(B) } 7\quad \text{(C) } 14\quad \text{(D) } 22\quad \text{(E) } 23$
| D | math_Number Theory | mathematics | ||
mmlu_aux_train_84378 | mmlu_aux_train | There are four hats. They are red, yellow, green and white. They are Mike's, Bill's, Tom's and John's. Tom's hat is not yellow, green or red. John's hat is not green. And Mike's hat is not yellow or green. What color are their hats? ,. Mike's hat is _ .
A. red
B. yellow
C. white
D. green | A. red | formal_logic | mathematics | ||
mmlu_aux_train_2667 | mmlu_aux_train | Two balls rolled down two identical inclined planes. The balls were exactly the same mass and size, but one ball rolled down the inclined plane faster. Identify a possible reason that one ball rolled faster than the other ball.
A. One ball was red and the other ball was blue.
B. One ball was new and the other ball was... | D. One ball was sticky and the other ball was smooth. | conceptual_physics | physics | ||
math_970 | math_mc | A right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. What is the height of this cylinder? | D | math_Geometry | mathematics | ||
aquarat_21903 | deepmind/aqua_rat | UNO plans a gathering.
However there is threat of terrorist attack. So security guard who is a mathematical plans somethings to secure the place.
A terrorist stands nearby the door where
1st ambassador comes , the security guard said 'twelve' and ambassador replied with 'six'.
2nd ambassador comes , the security guard ... | A. Five B. Three C. Two D. Eight E. Seven | A. Five | A
'five'
Its the count of alphabet | formal_logic | mathematics |
math_638 | math_mc | Mr. Wong has 10 grandchildren. Assuming that the gender of each child is determined independently and with equal likelihood of male and female, what is the probability that Mr. Wong has more grandsons than granddaughters or more granddaughters than grandsons? | B | math_Counting & Probability | mathematics | ||
aquarat_32785 | deepmind/aqua_rat | A researcher computed the mean, the median, and the standard deviation E for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change? | A. The mean only B. The median only C. The standard deviation only D. The mean and the median E. The mean and the standard deviation | D. The mean and the median | If we add or subtract a constant to each term in a set the standard deviation E will not change..
If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.
Answer: D. | high_school_statistics | mathematics |
mmlu_aux_train_94615 | mmlu_aux_train | If left in the sunshine, water in an open jar will
A. evaporate.
B. condense.
C. freeze.
D. melt. | A. evaporate. | high_school_physics | physics | ||
pythonio_736 | pythonio-mc | Program:
def Sum_of_Inverse_Divisors(N,Sum):
ans = float(Sum)*1.0 /float(N);
return round(ans,2);
Input:
Sum_of_Inverse_Divisors(9,13)
Output: | D | code | computer_science | ||
math_608 | math_mc | A hotel packed breakfast for each of three guests. Each breakfast should have consisted of three types of rolls, one each of nut, cheese, and fruit rolls. The preparer wrapped each of the nine rolls and once wrapped, the rolls were indistinguishable from one another. She then randomly put three rolls in a bag for each ... | B | math_Counting & Probability | mathematics | ||
pythonio_357 | 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(10)
Output: | B | code | computer_science | ||
math_1125 | math_mc | Given a positive integer $n$, it can be shown that every complex number of the form $r+si$, where $r$ and $s$ are integers, can be uniquely expressed in the "base" $-n+i$ using the integers $1,2,\ldots,n^2$ as "digits." That is, the equation\[r+si=a_m(-n+i)^m+a_{m-1}(-n+i)^{m-1}+\cdots +a_1(-n+i)+a_0\]is true for a uni... | C | math_Intermediate Algebra | mathematics | ||
pythonio_175 | pythonio-mc | Program:
def interleave_lists(list1,list2,list3):
result = [el for pair in zip(list1, list2, list3) for el in pair]
return result
Input:
interleave_lists([1,2,3,4,5,6,7],[10,20,30,40,50,60,70],[100,200,300,400,500,600,700])
Output: | B | code | computer_science |
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