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 |
|---|---|---|---|---|---|---|---|
allenai/sciq_7076 | allenai/sciq | Mammalian lungs are located in what cavity, where they are surrounded and protected by the rib cage, intercostal muscles, and chest wall?
A. abdominopelvic
B. dorsal
C. thoracic
D. ventral | C. thoracic | 39.3 | Breathing By the end of this section, you will be able to: • Describe how the structures of the lungs and thoracic cavity control the mechanics of breathing • Explain the importance of compliance and resistance in the lungs • Discuss problems that may arise due to a V/Q mismatch Mammalian lungs are located in th... | high_school_biology | biology | |
math_686 | math_mc | What is the value of the sum $S=\sum_{k=0}^{49}(-1)^k\binom{99}{2k}=\binom{99}{0}-\binom{99}{2}+\binom{99}{4}-\cdots -\binom{99}{98}?$
(A) $-2^{50}$ (B) $-2^{49}$ (C) 0 (D) $2^{49}$ (E) $2^{50}$
| D | math_Counting & Probability | mathematics | ||
NLP4Education_132 | NLP4Education | Which of the following properties is part of the RDF Schema Language?
A. Description
B. Predicate
C. Domain
D. Label | C. Domain | computer_security | computer_science | ||
mmlu_aux_train_8404 | mmlu_aux_train | Imagine living in a city made of glass. No, this isn't a fairy tale. If you could grab your diving gear and swim down 650 feet into the Pacific Ocean off the coast of Washington State, you would witness the secret world of glass reefs. The reef you'd be looking at is made up of glass sponges . But how can animals be ma... | C. Glass "cities" under the sea | high_school_biology | biology | ||
math_1610 | math_mc | When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180. How many different values could be the greatest common divisor of the two integers? | A | math_Number Theory | mathematics | ||
pythonio_567 | pythonio-mc | Program:
def unique_sublists(list1):
result ={}
for l in list1:
result.setdefault(tuple(l), list()).append(1)
for a, b in result.items():
result[a] = sum(b)
return result
Input:
unique_sublists([[10, 20, 30, 40], [60, 70, 50, 50], [90, 100, 200]])
Output: | B | code | computer_science | ||
math_1039 | math_mc | In quadrilateral $ABCD$, $\angle{BAD}\cong\angle{ADC}$ and $\angle{ABD}\cong\angle{BCD}$, $AB = 8$, $BD = 10$, and $BC = 6$. The length $CD$ may be written in the form $\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
| A | math_Geometry | mathematics | ||
mmlu_aux_train_77674 | mmlu_aux_train | One morning, the students of Class Three, Grade One are having an English lesson. Mr. Zhang finds Li Lei doesn't listen to him. He goes to Li Lei and has a look. Oh, Li Lei is drawing a boy. The teacher asks Li Lei to stand up. "Do you like drawing?" "Yes, Mr. Zhang," answers Li Lei. "And I draw very well." "You can dr... | D. He is an English teacher. | high_school_computer_science | computer_science | ||
allenai/sciq_7614 | allenai/sciq | Evidence for the presence of what on mars makes scientists think that life might have existed there in the past?
A. gas
B. plasma
C. air
D. water | D. water | Curiosity, the rover, has found evidence of a flowing stream on Mars. Layers of smooth, water-polished pebbles have been photographed. This is exactly what you would see in a stream on Earth. There are many surface features that look like water-eroded canyons. Since there was liquid water on Mars, scientists think that... | astronomy | physics | |
allenai/sciq_3997 | allenai/sciq | What shape is the orbit of a planet?
A. cleaved
B. elliptical
C. spiral
D. vertical | B. elliptical | The orbits of the planets are elliptical. | astronomy | physics | |
mmlu_aux_train_90804 | mmlu_aux_train | Helen Keller lived in the U.S.A. She was a great woman. When Helen Keller was a baby, she got very sick. After many weeks, the doctor said, "She is better, but now she can't see and she can't hear." Her mother and father were very sad. After a few years, things got worse. There was no way for Helen to speak to other pe... | A. she was a baby | high_school_biology | biology | ||
mmlu_aux_train_38866 | mmlu_aux_train | In the Internet age, speed reading is a necessary and important skill. We skim over articles and e-mails to try to get key words and the main idea of the text. With so much information through our electronic devices , it would be impossible to get through everything if we read word by word, line by line. However, a ne... | C. have much more information to read | high_school_computer_science | computer_science | ||
pythonio_323 | pythonio-mc | Program:
def is_nonagonal(n):
return int(n * (7 * n - 5) / 2)
Input:
is_nonagonal(10)
Output: | C | code | computer_science | ||
mmlu_aux_train_13796 | mmlu_aux_train | Computer people talk a lot about the need for other people to become "computer-literate". But not all experts agree that this is a good idea. One pioneer, in particular, who disagrees is David Tebbutt, the founder of Computertown UK. Although many people see this as a successful attempt to bring people closer to the co... | D. understanding the computer and knowing how to use it | high_school_computer_science | computer_science | ||
aquarat_59681 | deepmind/aqua_rat | BOQD : ERTG :: ANPC : ? | A. DQSF B. FSHU C. SHFU D. DSQF E. DSQU | A. DQSF | BOQD : ERTG::ANPC:DQSF
B-E:+3 A-D:+3
O-R:+3 N-Q:+3
Q-T:+3 P-S:+3
D-G:+3 C-F:+3
ANSWER:A | formal_logic | mathematics |
mmlu_aux_train_98886 | mmlu_aux_train | amphibians hatch from
A. trees
B. rocks
C. the sky
D. calcium life pods | D. calcium life pods | high_school_biology | biology | ||
allenai/sciq_1058 | allenai/sciq | What type of change has occurred when a copper penny changes color?
A. contamination change
B. carbon change
C. chemical change
D. reactive change | C. chemical change | Some of these pennies are shiny and copper colored. That’s how pennies look when they are new. The older pennies are dull and brown. Copper at the surface of these pennies has combined with air to become a different substance with different properties. The change in color shows that a chemical change has occurred. | high_school_chemistry | chemistry | |
math_2143 | math_mc | Let $\mathbf{a} = \begin{pmatrix} 3 \\ 4 \\ 0 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} -1 \\ 1 \\ -1 \end{pmatrix}.$ Find the unit vector $\mathbf{v}$ so that $\mathbf{b}$ bisects the angle between $\mathbf{a}$ and $\mathbf{v}.$ | A | math_Precalculus | mathematics | ||
allenai/sciq_6003 | allenai/sciq | Fe for iron and pb for lead are examples of elements known since ancient times, which have symbols based on their name in what language?
A. spanish
B. italian
C. latin
D. arabic | C. latin | The figure below shows the most commonly used form of the periodic table. Each square shows the chemical symbol of the element along with its name. Notice that several of the symbols seem to be unrelated to the name of the element: Fe for iron, Pb for lead, etc. Most of these are the elements that have been known since... | high_school_chemistry | chemistry | |
math_877 | math_mc | Points $K$, $L$, $M$, and $N$ lie in the plane of the square $ABCD$ so that $AKB$, $BLC$, $CMD$, and $DNA$ are equilateral triangles. If $ABCD$ has an area of 16, find the area of $KLMN$. Express your answer in simplest radical form.
[asy]
pair K,L,M,I,A,B,C,D;
D=(0,0);
C=(10,0);
B=(10,10);
A=(0,10);
I=(-8.7,5);
L=(18... | D | math_Geometry | mathematics | ||
aquarat_75460 | deepmind/aqua_rat | If e + xy = e and x is not equal to 0, which of the following must be true? | A. x<y B. x+y=0 C. x=e D. x=0 E. y=0 | E. y=0 | e + xy = e --> xy=0. Since x is not equal to 0, thus y = 0.
Answer: E. | abstract_algebra | mathematics |
allenai/sciq_1570 | allenai/sciq | What do you call the slope that forms the edge of the continent?
A. the land slope
B. the prevalent slope
C. the cataclysmic slope
D. the continental slope | D. the continental slope | The continental slope is the slope that forms the edge of the continent. It is seaward of the continental shelf. In some places, a large pile of sediments brought from rivers creates the continental rise. The continental rise ends at the ocean floor. Much of the ocean floor is called the abyssal plain. | astronomy | physics | |
allenai/sciq_3686 | allenai/sciq | Why are two different minerals considered different though they have the same chemical composition?
A. different rods structures
B. different linear structures
C. different crystal structures
D. different molecular structures | C. different crystal structures | Sometimes two different minerals have the same chemical composition. But they are different minerals because they have different crystal structures. Diamonds are very valuable as gemstones because they are very pretty and very hard. Graphite is the “lead” in pencils. It's not hard at all! Amazingly, both are made just ... | college_chemistry | chemistry | |
mmlu_aux_train_40216 | mmlu_aux_train | Computer games have been criticised for quite some time over a whole range of issues. Some people say they are overly violent and encourage violent behaviour particularly in children. Others say that they make children unsociable and are bad for their eyes. Some have even attributed falling standards of literacy and a ... | C. encourage more women to buy computer games | high_school_computer_science | computer_science | ||
NLP4Education_355 | NLP4Education | Does the following code compile?
val x = 12
def foo(x: List[Int]): Int = x match
case Nil => 0
case x :: xs => x
A. Yes, the code compiles without errors.
B. No, there is a type mismatch in the pattern match.
C. No, 'x' is redefined in the function parameter list.
D. No, function foo is missing a return stateme... | A. Yes, the code compiles without errors. | coding | computer_science | ||
pythonio_307 | pythonio-mc | Program:
def pair_OR_Sum(arr,n) :
ans = 0
for i in range(0,n) :
for j in range(i + 1,n) :
ans = ans + (arr[i] ^ arr[j])
return ans
Input:
pair_OR_Sum([7,3,5],3)
Output: | D | code | computer_science | ||
mmlu_aux_train_2650 | mmlu_aux_train | When a plant wilts, the stomata close. How does this help the plant?
A. It increases photosynthesis.
B. It reduces further water loss.
C. It increases cellular respiration.
D. It reduces water intake by roots. | B. It reduces further water loss. | high_school_biology | biology | ||
allenai/sciq_1999 | allenai/sciq | Osseous tissue - the connective tissue that includes specialized cells, mineral salts, and collagen fibers - makes up what?
A. bone
B. spine
C. muscles
D. ligaments | A. bone | 38.2 Bone Bone, or osseous tissue, is connective tissue that includes specialized cells, mineral salts, and collagen fibers. The human skeleton can be divided into long bones, short bones, flat bones, and irregular bones. Compact bone tissue is composed of osteons and forms the external layer of all bones. Spongy bone ... | high_school_biology | biology | |
aquarat_20661 | deepmind/aqua_rat | If SAVOURY is coded as OVUARSY then how will RADIATE be coded? | A. AIDARET B. IDARATE C. ARIADTE D. IDAATRE E. None of these | D. IDAATRE | Comparing the positions of letters S,A,V,O,U,R,Y in SAVOURY and OVUARSY :-
letters at 1,2,3,4,5,6,7 position in SAVOURY have their sequence changed as 4352617 in OVUARSY(4th letter O comes at 1st position, 3rd at 2nd,..)
Similarly, juxtapositioning the letters of RADIATE, i.e. keeping 4th letter(I) at 1st position, 3rd... | formal_logic | mathematics |
mmlu_aux_train_16293 | mmlu_aux_train | Sam, an unemployed piano tuner, said it was only the second thing he had ever won in his life. The first thing was an Afghan blanket at a church raffle when he was 25 years old. But this was much bigger: it was $120,000! He had won the Big Cube, a state lottery game. To win, a contestant must first guess which number a... | D. sixty years old | high_school_statistics | mathematics | ||
NLP4Education_125 | NLP4Education | For a user that has not done any ratings, which method can make a prediction?
A. User-based collaborative RS
B. Item-based collaborative RS
C. Content-based RS
D. None of the above | D. None of the above | machine_learning | computer_science | ||
math_580 | math_mc | The cards of a standard 52-card deck are dealt out in a circle. What is the expected number of pairs of adjacent cards which are both black? Express your answer as a common fraction. | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_95956 | mmlu_aux_train | When sugar is added to water, it blends in such as in which drink?
A. milk
B. lemonade
C. juice
D. tea | B. lemonade | high_school_chemistry | chemistry | ||
aquarat_73325 | deepmind/aqua_rat | If a + xy = a and x is not equal to 0, which of the following must be true? | A. y=0 B. x>y C. y<x D. x-y=0 E. x+y=0 | A. y=0 | a + xy = a --> xy=0. Since x is not equal to 0, thus y = 0.
Answer: A | abstract_algebra | mathematics |
mmlu_aux_train_98400 | mmlu_aux_train | If a person is going to be in an area with acid rain, the organs in the body can be unharmed because of
A. outer organ protection
B. being given immunity
C. using sunscreen
D. taking vitamins | A. outer organ protection | high_school_biology | biology | ||
math_1939 | math_mc | In the diagram below, $\overline{AB}\parallel \overline{CD}$ and $\angle AXE$ is $108^\circ$ less than 3 times $\angle CYX$. Find $\angle BXY$.
[asy]
unitsize(1inch);
pair A,B,C,D,X,Y,EE,F;
A = (0,0);
B=(1,0);
C = (0,0.8);
D=(1,0.8);
EE = (0.35,-0.3);
F = (0.8,1.1);
draw(EE--F);
draw(A--B);
draw(C--D);
do... | B | math_Prealgebra | mathematics | ||
math_78 | math_mc | The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possible values for $a$? | C | math_Algebra | mathematics | ||
math_519 | math_mc | Let $\mathcal{S}_{n}$ be the set of strings with only 0's or 1's with length $n$ such that any 3 adjacent place numbers sum to at least 1. For example, $00100$ works, but $10001$ does not. Find the number of elements in $\mathcal{S}_{11}$.
| C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_99349 | mmlu_aux_train | A seismograph is a kind of tool for measuring the size of
A. rivers
B. home planet tremors
C. volcanic activity
D. lakes | B. home planet tremors | earth_science | earth_science | ||
allenai/sciq_9229 | allenai/sciq | The ability to what is affected by the velocity, or speed, of the water?
A. hinder
B. impede
C. construct
D. erode | D. erode | Moving water also picks up and carries particles of soil and rock. The ability to erode is affected by the velocity, or speed, of the water. The size of the eroded particles depends on the velocity of the water. Eventually, the water deposits the materials. As water slows, larger particles are deposited. As the water s... | high_school_physics | physics | |
allenai/sciq_10381 | allenai/sciq | What are the smallest particles of water called?
A. atoms
B. hydrogen
C. ions
D. molecules | D. molecules | Water is a compound that consists of the elements hydrogen (H) and oxygen (O). Like other compounds, the smallest particles of water are called molecules. Each molecule of water (H 2 O) contains two atoms of hydrogen and one atom of oxygen. | high_school_chemistry | chemistry | |
mmlu_aux_train_15337 | mmlu_aux_train | Anyone who has ever lost keys or money will have wished for a simple but effective way to make sure it never happens again. A US company is trying to help. Using a tiny microchip which is implanted into the arm, they have come up with a replacement for cash or credit cards that cannot be left at home or dropped on the ... | C. a tiny microchip | high_school_computer_science | computer_science | ||
allenai/sciq_10213 | allenai/sciq | What corrosive substances capable of dissolving many metals can cause contamination if spilled?
A. ions
B. acids
C. bases
D. salts | B. acids | Acids can dissolve many metals; a spilled acid can lead to contamination. | high_school_chemistry | chemistry | |
math_2031 | math_mc | Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides 7 times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to ... | C | math_Prealgebra | mathematics | ||
aquarat_52588 | deepmind/aqua_rat | A train speeds past a pole in 10 seconds and a platform 150 m long in 25 seconds. Its length is: | A. 300 m. B. 250 m. C. 100 m. D. 200 m. E. 150 m. | C. 100 m. | Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 10=> y = x/10
x + 150 / 25 = x / 10
x = 100 m.
Answer: Option C | high_school_physics | physics |
math_625 | math_mc | How many positive three-digit integers with each digit greater than 4 are divisible by 6? | C | math_Counting & Probability | mathematics | ||
mmlu_aux_train_41213 | mmlu_aux_train | While only about 200 astronauts have had the excitement of looking down at Earth and commanding systems on the International Space Station, actually thousands of everyday middleschool students have experienced by Middle School Students, or EarthKAM, a camera system. EarthKAM is an educational activity and outreach inve... | C. Using a camera system. | astronomy | physics | ||
mmlu_aux_train_21279 | mmlu_aux_train | John Wesley Powell(1834--1902)Was a famous explorer of the American West.When he Was young,his mother put him under the guidance of George Crookham,a self-taught scientist,from whom he received a wide,but informal,education.Young John learned many things about the natural sciences.But his father preferred him to study ... | B. George Crookham. | high_school_biology | biology | ||
math_1387 | math_mc | The function $f(n)$ is defined on the positive integers such that $f(f(n)) = 2n$ and $f(4n + 1) = 4n + 3$ for all positive integers $n.$ Find $f(1000).$ | B | math_Intermediate Algebra | mathematics | ||
math_1973 | math_mc | A rhombus has an area of 108 square units. The lengths of its diagonals have a ratio of 3 to 2. What is the length of the longest diagonal, in units? | C | math_Prealgebra | mathematics | ||
mmlu_aux_train_43904 | mmlu_aux_train | Authorities will continue to take a hard line on Internet-based rumors and punish those creating fake information, a senior official said on Thursday. Authorities have removed more than 210,000 online posts and shut down 42 websites since mid-March in their latest crackdown on online rumors, said Liu Zhengrong, a senio... | C. 16 | computer_security | computer_science | ||
allenai/sciq_8245 | allenai/sciq | What are ionic substances completely held together by?
A. ionic bonds
B. localized bonds
C. thermal bonds
D. magnetic bonds | A. ionic bonds | Ionic substances are completely held together by ionic bonds. The full charges of the ions (for example, Na + and Cl - in sodium chloride) cause electrostatic interactions that result in a stable crystal lattice. We saw in the previous chapter that most ionic compounds have high melting points, are brittle, are often s... | high_school_chemistry | chemistry | |
aquarat_77869 | deepmind/aqua_rat | 20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes. | A. 190 B. 200 C. 210 D. 220 E. 230 | A. 190 | 1st person will shake hand with 19 people
2nd person will shake hand with 18 people
3rd person will shake hand with 17 people
......
total no. of handshakes = 19+18+17+...+3+2+1 = 19*(19+1)/2 = 190
or, if there are n persons then no. of shakehands = nC2 = 20C2 = 190
ANSWER:A | abstract_algebra | mathematics |
math_1932 | math_mc | Express $0.4\overline5$ as a common fraction. | D | math_Prealgebra | mathematics | ||
aquarat_19291 | deepmind/aqua_rat | 40, 45, 50, 55, 60, 75, 75, 90, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 21.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores? | A. 1 B. 2 C. 3 D. 4 E. 5 | B. 2 | The average of {40, 45, 50, 55, 60, 75, 75, 90, 100, 100} is 69.
1 standard deviation below the mean is 69 - 21.2 = 47.8. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.
Answer B. | high_school_statistics | mathematics |
allenai/sciq_10390 | allenai/sciq | What are the parts used in electronic devices such as computers called?
A. electronic components
B. digital components
C. chargers
D. batteries | A. electronic components | Electronic components are the parts used in electronic devices such as computers. Types of electronic components include diodes, transistors, and integrated circuits. | electrical_engineering | engineering | |
math_106 | math_mc | Let $x^2-mx+24$ be a quadratic with roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible? | D | math_Algebra | mathematics | ||
mmlu_aux_train_98523 | mmlu_aux_train | Dissolving sucrose makes liquids
A. hot
B. dry
C. sweet
D. cold | C. sweet | high_school_chemistry | chemistry | ||
math_1474 | math_mc | The four complex roots of
\[2z^4 + 8iz^3 + (-9 + 9i)z^2 + (-18 - 2i)z + (3 - 12i) = 0,\]when plotted in the complex plane, form a rhombus. Find the area of the rhombus. | B | math_Intermediate Algebra | mathematics | ||
math_1460 | math_mc | The polynomial $f(x)=x^{2007}+17x^{2006}+1$ has distinct zeroes $r_1,\ldots,r_{2007}$. A polynomial $P$ of degree $2007$ has the property that
\[P\left(r_j+\dfrac{1}{r_j}\right)=0\]for $j=1,\ldots,2007$. Determine the value of $\frac{P(1)}{P(-1)}$. | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_808 | NLP4Education | You are given the following collection of premises:
If I go to the museum, it either rains or snows.
I went to the museum on Saturday or I went to the museum on Sunday.
It did not rain and it did not snow on Saturday.
It did not rain on Sunday.
Which conclusions can be drawn from these premises? (more than one answer c... | C. I went to the museum on Sunday. | formal_logic | mathematics | ||
mmlu_aux_train_85964 | mmlu_aux_train | When most people think of the Olympics, they don't think of science. But in the USA, each year, students take part in a kind of competition called the Science Olympiad. It has a lot of different events. Students go there to show how much they know about the science of music, biology, chemistry and others. My best event... | C. No one thinks the Olympics has anything to do with science. | high_school_biology | biology | ||
math_1264 | math_mc | The polynomial $P(x) = 2x^3 + ax^2 + bx + c$ has the property that the mean of its zeros, the product of its zeros, and the sum of the coefficients are all equal. The $y$-intercept of the graph of $y = P(x)$ is 8. What is $b$? | C | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_57419 | mmlu_aux_train | Sometimes, something that is considered to be negative turns out to be an advantage on the job. Though he is only l8 years old and blind, Suleyman Gokyigit is among the top computer technicians and programmers at InteliData Technologies Corp., a large software company with several offices across the United States. "Aft... | A. can work wonders on computer | high_school_computer_science | computer_science | ||
math_450 | math_mc | The $52$ cards in a deck are numbered $1, 2, \cdots, 52$. Alex, Blair, Corey, and Dylan each picks a card from the deck without replacement and with each card being equally likely to be picked, The two persons with lower numbered cards from a team, and the two persons with higher numbered cards form another team. Let $... | D | math_Counting & Probability | mathematics | ||
mmlu_aux_train_89547 | mmlu_aux_train | Nancy is an eight-year-old girl. She has a beautiful yellow cat, Mimi. Mimi has six new kittens . Three kittens are black, and two are white. One kitten is black, but it has white feet and a white face. Nancy asks, "Mom, can we keep all the kittens?" "We can't keep six kittens," she says, "When the kitten are three ... | C. cat | high_school_biology | biology | ||
pythonio_771 | pythonio-mc | Program:
def min_Num(arr,n):
odd = 0
for i in range(n):
if (arr[i] % 2):
odd += 1
if (odd % 2):
return 1
return 2
Input:
min_Num([1,2,3,4,5,6,7,8],8)
Output: | D | code | computer_science | ||
math_566 | math_mc | Forty slips are placed into a hat, each bearing a number 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, with each number entered on four slips. Four slips are drawn from the hat at random and without replacement. Let $p$ be the probability that all four slips bear the same number. Let $q$ be the probability that two of the slips be... | B | math_Counting & Probability | mathematics | ||
aquarat_39495 | deepmind/aqua_rat | A train 280 m long can cross an electric pole in 20 sec and then find the speed of the train? | A. 88 Kmph B. 89 Kmph C. 72 Kmph D. 50 Kmph E. 18 Kmph | D. 50 Kmph | Length = Speed * time
Speed = L/T
S = 280/20
S = 14 M/Sec
Speed= 14*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 50 Kmph
Answer: D | high_school_physics | physics |
mmlu_aux_train_15346 | mmlu_aux_train | How good are U.S. drivers? The CBS TV "National Drivers Test" showed that many U.S. drivers have a lot to learn. Here's why: CBS picked 1,799 samples to take the test in TV studios in New York, Philadelphia, Chicago, and Los Angeles. More than two out of five of the drivers failed the test. And the average score was t... | C. tell you the results of a national drivers test. | high_school_statistics | mathematics | ||
aquarat_58383 | deepmind/aqua_rat | Here are some words translated from an artificial language.
hapllesh means cloudburst
srenchoch means pinball
resbosrench means ninepin
Which word could mean "cloud nine"? | A. leshsrench B. ochhapl C. haploch D. haplresbo E. ochhase | D. haplresbo | Hapl means cloud; lesh means burst; srench means pin; och means ball; and resbo means nine. Leshsrench (choice a) doesn't contain any of the words needed for cloud nine. We know that och means ball, so that rules out choices b and c. When you combine hapl (cloud) with resbo (nine), you get the correct answer
Answer:D | formal_logic | mathematics |
allenai/sciq_1481 | allenai/sciq | What property are alkali metals at room temperature?
A. solid
B. mixed
C. liquid
D. solid | A. solid | Alkali metals are all solids at room temperature. They are relatively soft and low in density. | high_school_chemistry | chemistry | |
math_624 | math_mc | A mail carrier delivers mail to the nineteen houses on the east side of Elm Street. The carrier notices that no two adjacent houses ever get mail on the same day, but that there are never more than two houses in a row that get no mail on the same day. How many different patterns of mail delivery are possible?
| A | math_Counting & Probability | mathematics | ||
allenai/sciq_5237 | allenai/sciq | What technology do scientists use to create models?
A. computers
B. calculators
C. microscopes
D. patterns | A. computers | Scientists create models with computers. Computers can handle enormous amounts of data. This can more accurately represent the real situation. For example, Earth’s climate depends on an enormous number of factors. Climate models can predict how climate will change as certain gases are added to the atmosphere. To test h... | college_science | earth_science | |
aquarat_37624 | deepmind/aqua_rat | If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2016) = ? | A. 2017 B. 2088 C. 270 D. 1881 E. 1781 | A. 2017 | f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2
f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3
f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4
..............
f(2016) = 2017
Ans: A | college_mathematics | mathematics |
aquarat_37865 | deepmind/aqua_rat | In what time will a train 400 meters long cross an electric pole, if its speed is 144 km/hr | A. 5 seconds B. 4.5 seconds C. 10 seconds D. 2.5 seconds E. None of these | C. 10 seconds | Explanation:
First convert speed into m/sec
Speed = 144*(5/18) = 40 m/sec
Time = Distance/speed
= 400/40 = 10 seconds
Answer: C | high_school_physics | physics |
allenai/sciq_6977 | allenai/sciq | What types of orbits do comets usually have?
A. elliptical
B. spectral
C. convex
D. vertical | A. elliptical | Comets are small, icy objects that orbit the Sun in very elliptical orbits. When they are close to the Sun, they form comas and tails, which glow and make the comet more visible. | astronomy | physics | |
pythonio_48 | pythonio-mc | Program:
def max_sum_increasing_subsequence(arr, n):
max = 0
msis = [0 for x in range(n)]
for i in range(n):
msis[i] = arr[i]
for i in range(1, n):
for j in range(i):
if (arr[i] > arr[j] and
msis[i] < msis[j] + arr[i]):
msis[i] = msis[j] + arr[i]
for i in range(n):
if max < msi... | C | code | computer_science | ||
aquarat_37270 | deepmind/aqua_rat | Each of the 42 points is placed either inside or on the surface of a perfect sphere. If 65% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere? | A. 7 B. 11 C. 13 D. 23 E. 38 | C. 13 | Maximum number of points on the surface is 65%*42 = 27.3 ... or 27 since it has to be an integer
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 27 points, so at best we can form 13 pairs (26).
So, answer is (C) | college_mathematics | mathematics |
aquarat_73620 | deepmind/aqua_rat | 100 identical coins each with probability "p" showing up heads & tossed. If 0 then show the number of heads? | A. 33/100 B. 41/101 C. 51/101 D. 87/101 E. 98/101 | C. 51/101 | Let aa be the number of coins showing heads
Then, P(A=50)=P(A=51)P(A=50)=P(A=51)
⇒100C50×P50×(1−P)50⇒100C51×P51×(1−P)49⇒100C50×P51×(1−P)50=100C51×P⇒51(1âˆ′P)=50P⇒P=51/101
C | high_school_statistics | mathematics |
math_2029 | math_mc | What is the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length 8 units to the numerical value of its perimeter, in units? Express your answer as a common fraction in simplest radical form. | B | math_Prealgebra | mathematics | ||
mmlu_aux_train_74305 | mmlu_aux_train | Micro blogs like Weibo are nothing new for the young Chinese. A newspaper in Chengdu did a survey last month. It found that 90 percent of junior high school students use micro blogs. They give students an outlet for emotion. "I use micro blogs to record my life. I let everyone 'see' my feelings and complaints ," sai... | A. less serious | high_school_computer_science | computer_science | ||
mmlu_aux_train_63118 | mmlu_aux_train | The U.S. government's push to decrease the nation's output of greenhouse gases by increasing the fuel efficiency of the cars Americans drive is arousing again an emotional argument: Does driving a small, fuel-efficient car make you more likely to die on the road? Engineers and statistical analysts can point to data tha... | D. positive; uncertain | high_school_statistics | mathematics | ||
mmlu_aux_train_93428 | mmlu_aux_train | When two nuclei are combined into one nucleus, there is a slight change in mass and the release of a large amount of energy. What is this process called?
A. conversion
B. reaction
C. fission
D. fusion | D. fusion | high_school_physics | physics | ||
aquarat_34221 | deepmind/aqua_rat | The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.8. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur? | A. 1/5 B. 2/5 C. 3/5 D. 4/5 E. 12/25 | B. 2/5 | p(m) =0.2
p(r) =0.2
p(m intersection r) = 0 (If events M and R cannot both occur)
p(m or r) = 0.2+0.2 =0.4
Corrected !!
Answer B | high_school_statistics | mathematics |
pythonio_632 | pythonio-mc | Program:
def last(arr,x,n):
low = 0
high = n - 1
res = -1
while (low <= high):
mid = (low + high) // 2
if arr[mid] > x:
high = mid - 1
elif arr[mid] < x:
low = mid + 1
else:
res = mid
low = mid + 1
return... | A | code | computer_science | ||
allenai/sciq_11653 | allenai/sciq | What are magnesium carbonate, aluminum hydroxide, and sodium bicarbonate commonly used as?
A. salts
B. antibiotics
C. antidepressants
D. antacids | D. antacids | Magnesium carbonate, aluminum hydroxide, and sodium bicarbonate are commonly used as antacids. Give the empirical formulas and determine the molar masses of these compounds. Based on their formulas, suggest another compound that might be an effective antacid. ♦ Nickel(II) acetate, lead(II) phosphate, zinc nitrate, and ... | high_school_chemistry | chemistry | |
NLP4Education_318 | NLP4Education | A multiset is an unordered collection where elements can appear multiple times. We will represent a multiset of Char elements as a function from Char to Int: the function returns 0 for any Char argument that is not in the multiset, and the (positive) number of times it appears otherwise: type Multiset = Char => Int Wha... | A. x => m(x) > 0 | college_computer_science | computer_science | ||
NLP4Education_57 | NLP4Education | You are given a distribution on $X, Y$, and $Z$ and you know that the joint distribution can be written in the form $p(x, y, z)=p(x) p(y \mid x) p(z \mid y)$. What conclusion can you draw? [Recall that $\perp$ means independent and $\mid \cdots$ means conditioned on $\cdots$.]
A. $Y \perp Z$
B. $X \perp Z \mid Y$
C. $X... | B. $X \perp Z \mid Y$ | machine_learning | computer_science | ||
allenai/sciq_2024 | allenai/sciq | What type of rocks are laid down horizontally with the oldest at the bottom?
A. crystalline
B. igneous
C. metamorphic
D. sedimentary | D. sedimentary | Sedimentary rocks are laid down horizontally with the oldest at the bottom. | college_earth_science | earth_science | |
allenai/sciq_2607 | allenai/sciq | The existence of what tiny, fundamental particles of matter was first proposed in the 1960s?
A. molecules
B. quarks
C. atoms
D. neutrons | B. quarks | The existence of quarks was first proposed in the 1960s. Since then, scientists have done experiments to show that quarks really do exist. In fact, they have identified six different types of quarks. However, much remains to be learned about these tiny, fundamental particles of matter. They are very difficult and expen... | college_physics | physics | |
mmlu_aux_train_93255 | mmlu_aux_train | All stars start forming in the same manner. Some follow the life cycle of the Sun, while others turn into neutron stars or black holes. Which property determines the fate of a star as it develops?
A. mass
B. location
C. luminosity
D. temperature | A. mass | astronomy | physics | ||
math_1447 | math_mc | Compute the smallest positive integer $n$ such that
\[\sum_{k = 0}^n \log_2 \left( 1 + \frac{1}{2^{2^k}} \right) \ge 1 + \log_2 \frac{2014}{2015}.\] | D | math_Intermediate Algebra | mathematics | ||
NLP4Education_727 | NLP4Education | Assume we enforce CFI for function returns. Which of the following statements is true?
A. CFI on returns cannot prevent any form of control-flow hijacking.
B. CFI on returns is too coarse-grained and may give the adversary sufficient valid targets for an exploit.
C. CFI on returns ensures that only the single valid tar... | B. CFI on returns is too coarse-grained and may give the adversary sufficient valid targets for an exploit. | computer_security | computer_science | ||
pythonio_857 | pythonio-mc | Program:
def remove_tuple(test_list):
res = [sub for sub in test_list if not all(ele == None for ele in sub)]
return (str(res))
Input:
remove_tuple([(None, 2), (None, None), (3, 4), (12, 3), (None, )] )
Output: | A | code | computer_science | ||
math_1956 | math_mc | A list of five positive integers has a median of 3 and a mean of 11. What is the maximum possible value of the list's largest element? | B | math_Prealgebra | mathematics | ||
pythonio_448 | pythonio-mc | Program:
def count_range_in_list(li, min, max):
ctr = 0
for x in li:
if min <= x <= max:
ctr += 1
return ctr
Input:
count_range_in_list([7,8,9,15,17,19,45],15,20)
Output: | D | code | computer_science | ||
mmlu_aux_train_2382 | mmlu_aux_train | A student is watching a local television weather report for Gloucester, Massachusetts. Which of the following is most likely included in this weather report?
A. the speed of currents in a river
B. the amount of moisture in the air
C. the depth of currents in the ocean
D. the level of moisture in the ground | B. the amount of moisture in the air | high_school_physics | physics | ||
NLP4Education_249 | NLP4Education | Consider the logistic regression loss \(L: \R^d \to \R\) for a binary classification task with data \((\xv_i, y_i) \in \R^d \times \{0, 1\}\) for \(i \in \{ 1, \ldots, N\}\):
\[
L(\wv) = \frac{1}{N} \sum_{i = 1}^N \left(\log\left(1 + e^{\xv_i^\top \wv} \right) - y_i \xv_i^\top \wv \right).
\]
Which of the following i... | B. \(\nabla L(\wv) = \frac{1}{N} \sum_{i = 1}^N \xv_i \left( \frac{1}{1 + e^{-\xv_i^\top \wv}} - y_i\right) \) | machine_learning | computer_science | ||
aquarat_89155 | deepmind/aqua_rat | Set R has a mean of 15 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? | A. {11,26} B. {18,19} C. {16,18} D. {16,16} E. {14,16} | E. {14,16} | The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 15,the values (14,16) are closer than others.
Hence Answer : E | high_school_statistics | mathematics |
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