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 |
|---|---|---|---|---|---|---|---|
NLP4Education_280 | NLP4Education | Suppose that for points p, q, and t in a metric space, the following hold: p is density-reachable from q, t is density-reachable from q, p is density-reachable from t. Which of the following statements is false?
A. t is a core point
B. p is a border point
C. p and q are density-connected
D. q is a core point | B. p is a border point | college_mathematics | mathematics | ||
mmlu_aux_train_41248 | mmlu_aux_train | A small group of people around the world have started implanting microchips to link the body and the computer. Mr. Donelson and three friends, who had driven 100 miles from their homes in Loockport, New York, to have the implants put in by Dr. Jesse Villemaire, whom they had persuaded to do the work, are part of a sma... | C. Open doors and unlock his car with a wave of his hand. | college_computer_science | computer_science | ||
mmlu_aux_train_4641 | mmlu_aux_train | Which instrument should a student use to measure exactly 10 milliliters (mL) of water?
A. graduated cylinder
B. pan balance
C. ruler
D. thermometer | A. graduated cylinder | high_school_chemistry | chemistry | ||
mmlu_aux_train_97274 | mmlu_aux_train | Where deer and rabbits generally reside tends to be
A. dark caverns
B. leaf colored
C. under water
D. lava filled | B. leaf colored | high_school_biology | biology | ||
allenai/sciq_2174 | allenai/sciq | Where are sperm produced in the process of spermatogenesis?
A. testes
B. penis
C. ovaries
D. intestines | A. testes | Sperm are produced in the testes in the process of spermatogenesis. They mature in the epididymes before being ejaculated from the body through the penis. | high_school_biology | biology | |
math_1437 | math_mc | Find all real numbers $a$ such that the equation
\[x^3 - ax^2 - 2ax + a^2 - 1 = 0\]has exactly one real solution in $x.$ | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_93483 | mmlu_aux_train | Salt and pepper are placed together in a container. When the container is shaken, the salt and pepper become a
A. liquid.
B. mixture.
C. solution.
D. suspension. | B. mixture. | high_school_chemistry | chemistry | ||
math_2214 | math_mc | Let $\mathbf{v}_0$ be a vector. The vector $\mathbf{v}_0$ is projected onto $\begin{pmatrix} 3 \\ 1 \end{pmatrix},$ resulting in the vector $\mathbf{v}_1.$ The vector $\mathbf{v}_1$ is then projected onto $\begin{pmatrix} 1 \\ 1 \end{pmatrix},$ resulting in the vector $\mathbf{v}_2.$ Find the matrix that takes $\mat... | D | math_Precalculus | mathematics | ||
aquarat_2000 | deepmind/aqua_rat | For any non-zero a and b that satisfy |ab| = ab and |C| = -c
|b - 4| + |ab - b| = ? | A. a) ab - 4 B. b) b - 2b + 4 C. c) ab + 4 D. d) 2b - ab - 4a E. e) 4 - ab | B. b) b - 2b + 4 | |a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab' is Positive
'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative
But since 'a' is Negative therefore 'b' is Negative too.
Since b is negative so |b - 4| = -b+4
Since ab is Positive and b is Negative so |a... | college_mathematics | mathematics |
mmlu_aux_train_97093 | mmlu_aux_train | After dark clouds roll in and the weather changes, clouds may
A. wilt
B. precipitate
C. burn
D. zap | B. precipitate | high_school_physics | physics | ||
allenai/sciq_4681 | allenai/sciq | What do you call the patterns and groups of stars in the sky that ancient people observed and made stories about?
A. meteors
B. planets
C. constellations
D. asteroid fields | C. constellations | The stars that make up a constellation appear close to each other from Earth. In reality, they may be very distant from one another. Constellations were important to people, like the Ancient Greeks. People who spent a lot of time outdoors at night, like shepherds, named the constellations. They told stories about them.... | astronomy | physics | |
math_292 | math_mc | Without using a calculator, find the largest prime factor of $15^4+2\times15^2+1-14^4$. | B | math_Algebra | mathematics | ||
pythonio_302 | pythonio-mc | Program:
def adjac(ele, sub = []):
if not ele:
yield sub
else:
yield from [idx for j in range(ele[0] - 1, ele[0] + 2)
for idx in adjac(ele[1:], sub + [j])]
def get_coordinates(test_tup):
res = list(adjac(test_tup))
return (res)
Input:
get_coordinates((5, 6))
Output: | D | code | computer_science | ||
mmlu_aux_train_66034 | mmlu_aux_train | Who needs guard dogs when you have wolves , right? That's probably what Kazakh villagers in the Almaty region though when they decided to replace their dogs with the fierce forest dwelling beasts. According to local news reports, taming wolves is now the latest trend and a sort of hobby among rural Kazakhs. Nurseit Zh... | A. wolves can be tamed. | high_school_biology | biology | ||
allenai/sciq_10861 | allenai/sciq | What is the first and longest phase of mitosis known as?
A. anaphase
B. metaphase
C. prophase
D. telophase | C. prophase | Prophase is the first and longest phase of mitosis, see Figure below . During prophase, the chromatin (DNA) coils up into visible chromosomes, each made up of two sister chromatids held together by the centromere. Also during this phase, the nucleolus disappears, and the spindle begins to form from the centrioles. Most... | high_school_biology | biology | |
math_2178 | math_mc | There are two straight lines, each of which passes through four points of the form $(1,0,a), (b,1,0), (0,c,1),$ and $(6d,6d,-d),$ where $a,b,c,$ and $d$ are real numbers, not necessarily in that order. Enter all possible values of $d,$ separated by commas. | A | math_Precalculus | mathematics | ||
aquarat_14725 | deepmind/aqua_rat | A certain series is defined by the following recursive rule: Sp=K(Sp-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, wha is the 9th term? | A. ROOT 2 B. ROOT 3 C. 64*ROOT 3 D. 64*3^1/3 E. 64*3^24 | D. 64*3^1/3 | Ans...D
No need for any GP formula here
The rule is that pth term is K times the (p-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term | college_mathematics | mathematics |
aquarat_17870 | deepmind/aqua_rat | A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates ... | A. 42 B. 70 C. 140 D. 196 E. 315 | D. 196 | Ans: 196
7C1 * 8C2
Answer D) | college_mathematics | mathematics |
math_1899 | math_mc | For the data whose frequency histogram is shown, by how many days is the mean number of days missed per student greater than the median number of days missed per student for the 15 students? Express your answer as a common fraction.
[asy]
draw((0,0)--(0,6),linewidth(2));
draw((0,0)--(6,0),linewidth(2));
draw((0,0)--(... | D | math_Prealgebra | mathematics | ||
pythonio_45 | pythonio-mc | Program:
def check_string(str1):
messg = [
lambda str1: any(x.isupper() for x in str1) or 'String must have 1 upper case character.',
lambda str1: any(x.islower() for x in str1) or 'String must have 1 lower case character.',
lambda str1: any(x.isdigit() for x in str1) or 'String must have 1 number.'... | A | code | computer_science | ||
math_1800 | math_mc | For how many positive integers $n$ does $\frac{1}{n}$ yield a terminating decimal with a non-zero hundredths digit? | C | math_Number Theory | mathematics | ||
math_1268 | math_mc | If $f(x) = \frac{1 + x}{1 - 3x}, f_1(x) = f(f(x)), f_2(x) = f(f_1(x)),$ and in general $f_n(x) = f(f_{n-1}(x)),$ then $f_{1993}(3)=$
| C | math_Intermediate Algebra | mathematics | ||
pythonio_360 | pythonio-mc | Program:
def max_occurrences(list1):
max_val = 0
result = list1[0]
for i in list1:
occu = list1.count(i)
if occu > max_val:
max_val = occu
result = i
return result
Input:
max_occurrences([1, 3,5, 7,1, 3,13, 15, 17,5, 7,9,1, 11])
Output: | C | code | computer_science | ||
allenai/sciq_3187 | allenai/sciq | Urea and carbon dioxide are molecules with how many carbon atoms?
A. four
B. one
C. two
D. even number | B. one | high_school_chemistry | chemistry | ||
aquarat_56561 | deepmind/aqua_rat | The value of ((x – y)³ + (y - z)³ + (z – x)³)/(8 (x – y) (y – z) (z – x))
is equal to : | A. 0 B. 1/12 C. 3/8 D. 1/4 E. 1/3 | C. 3/8 | Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y) (y – z) (z – x))/(8(x – y) (y – z) (z – x)) = 3/8.
ANSWER:C | college_mathematics | mathematics |
aquarat_79379 | deepmind/aqua_rat | The distance light travels in one year is approximately 5,880,000,000,000 miles. The distance light travels in 100 years is | A. A) 587 × 108 miles B. B) 587 × 1010 miles C. C) 587 × 10-10 miles D. D) 588 × 1012 miles E. E) 587 × 10-12 miles | D. D) 588 × 1012 miles | The distance of the light travels in 100 years is:
5,880,000,000,000 × 100 miles.
= 588,000,000,000,000 miles.
= 588 × 1012 miles.
The answer is (D) | high_school_physics | physics |
allenai/sciq_7425 | allenai/sciq | What is the study of the energy transformations that occur in a collection of matter?
A. geophysics
B. thermodynamics
C. fluctuations
D. kinetics | B. thermodynamics | college_physics | physics | ||
math_800 | math_mc | A unicorn is tethered by a $20$-foot silver rope to the base of a magician's cylindrical tower whose radius is $8$ feet. The rope is attached to the tower at ground level and to the unicorn at a height of $4$ feet. The unicorn has pulled the rope taut, the end of the rope is $4$ feet from the nearest point on the tower... | B | math_Geometry | mathematics | ||
aquarat_18539 | deepmind/aqua_rat | The operation # is defined for all nonzero w and y by w#y = w + w/y. If a>0, then 1#(1#a) = | A. a B. a+1 C. a/(a+1) D. (a+2)/(a+1) E. (2a+1)/(a+1) | E. (2a+1)/(a+1) | w#y = w + w/y. If a>0, then 1#(1#a) =
You can see that a stands for y and 1 stands for w. I like to work with numbers so I did w=1 a=2 and a=y so y=2
1#a= 1+(1/2)=1.5 so now a is 1.5 --> 1+(1/1.5)=1 2/3 = 5/3
So now you can check by filling in a, which is 2:
A. a --> 2
B. a+1 --> 2+1=3
C. a/(a+1)-->2/(2+1)=2/3
D. (a+2)... | college_mathematics | mathematics |
aquarat_46884 | deepmind/aqua_rat | Consider two statements
Statement 1 => If X is an integer and X=2p+1 where p is not an integer.
Statement 2 => If Y is an integer and Y=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of X and Y respectively | A. Odd,Even B. Odd,Odd C. Even,Odd D. Even,Even E. Cannot be determined | E. Cannot be determined | x = integer
x = 2p+1 = integer here p can be any n/2 and n can be even or odd , matters alot 2 get cancelled out
if n were even x would odd
if n odd x would be even
Similarly other
answer will be E | college_mathematics | mathematics |
mmlu_aux_train_94602 | mmlu_aux_train | When a switch to a ceiling fan is turned on, electrical energy is being transformed into
A. atomic energy.
B. potential energy.
C. chemical energy.
D. mechanical energy. | D. mechanical energy. | electrical_engineering | engineering | ||
allenai/sciq_1484 | allenai/sciq | Slow-twitch or fast-twitch and oxidative or glycolytic describe what type of fibers?
A. capillaries
B. skeletal muscle fibers
C. coronary muscle fibers
D. digestion muscle fibers | B. skeletal muscle fibers | college_biology | biology | ||
mmlu_aux_train_43098 | mmlu_aux_train | Five times in the earth's history, some three-quarters of all living species disappeared forever-and within a short period of time. Those species losses stand for a major change in the planet's ecology . Clues to these changes can be seen in the fossils and rock layers. Today, human activities are driving species to di... | A. many people know the importance of protecting wildlife | high_school_biology | biology | ||
mmlu_aux_train_84220 | mmlu_aux_train | Do you have to carry a heavy bag to school? Does it make your back hurt? Well, students at a high school in Kansas , America, have a meeting with their city's mayor to complain about their heavy bags. They say their bags are giving them headaches , and making their necks and backs hurt. The mayor says he is ver... | A. headache | high_school_biology | biology | ||
math_1106 | math_mc | In the adjoining figure, $CD$ is the diameter of a semicircle with center $O$. Point $A$ lies on the extension of $DC$ past $C$; point $E$ lies on the semicircle, and $B$ is the point of intersection (distinct from $E$) of line segment $AE$ with the semicircle. If length $AB$ equals length $OD$, and the measure of $\... | A | math_Geometry | mathematics | ||
mmlu_aux_train_93107 | mmlu_aux_train | What are the names of the products in the chemical equation shown below? HCl + NaHCO_{3} -> NaCl + CO_{2} + H_{2}O
A. hydrochloric acid and sodium carbonate
B. sodium chloride, carbon dioxide, and water
C. hydrogen chloride and sodium bicarbonate
D. sodium chloride, carbon monoxide, and dihydrogen oxide | B. sodium chloride, carbon dioxide, and water | high_school_chemistry | chemistry | ||
allenai/sciq_8148 | allenai/sciq | What type of light sensing organs do scaophopoda have?
A. radula
B. cilia
C. setae
D. antennae | A. radula | Members of class Scaphopoda (“boat feet”) are known colloquially as “tusk shells” or “tooth shells,” as evident when examining Dentalium, one of the few remaining scaphopod genera (Figure 28.27). Scaphopods are usually buried in sand with the anterior opening exposed to water. These animals bear a single conical shell,... | high_school_biology | biology | |
allenai/sciq_10348 | allenai/sciq | If you drive or take the bus to school or work, you are using a vehicle that probably burns gasoline, a material that burns fairly easily and provides energy to power the vehicle. recall that burning is a?
A. temperature change
B. physical change
C. chemical change
D. energy change | C. chemical change | If you drive or take the bus to school or work, you are using a vehicle that probably burns gasoline, a material that burns fairly easily and provides energy to power the vehicle. Recall that burning is a chemical change. | high_school_chemistry | chemistry | |
mmlu_aux_train_4325 | mmlu_aux_train | Which list is correctly ordered from smallest to largest?
A. Biosphere, organism, ecosystem, population
B. Community, organism, ecosystem, biosphere
C. Organism, population, community, ecosystem
D. Population, ecosystem, community, biosphere | C. Organism, population, community, ecosystem | high_school_biology | biology | ||
math_400 | math_mc | The geometric series $a+ar+ar^2+\cdots$ has a sum of $12$, and the terms involving odd powers of $r$ have a sum of $5.$ What is $r$? | C | math_Algebra | mathematics | ||
math_181 | math_mc | Simplify $\displaystyle\frac{2+2i}{-3+4i}$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ are real numbers. | A | math_Algebra | mathematics | ||
mmlu_aux_train_27611 | mmlu_aux_train | Television, which made its first serious appearance in 1939, did not become common until the early 1950s. Since then, millions of children have grown up in front of the set, and many people now worry about the effect that TV has on the young, and on society in general. Educators, psychologists, and crime experts wonder... | A. in 1939 | high_school_statistics | mathematics | ||
mmlu_aux_train_95059 | mmlu_aux_train | When car is close to the runner the illumination of the motorized entity is at a higher level because?
A. moons gravity
B. motion
C. it is closer
D. sun rotation | C. it is closer | conceptual_physics | physics | ||
allenai/sciq_7948 | allenai/sciq | How many protons do all atoms of a particular element have in their nuclei?
A. same number
B. zero
C. three
D. varying number | A. same number | college_chemistry | chemistry | ||
mmlu_aux_train_96329 | mmlu_aux_train | Jerry put some salt into some tap water and stirred it up. What has Jerry made?
A. a solution
B. a battery
C. sea water
D. lemonade | A. a solution | high_school_chemistry | chemistry | ||
mmlu_aux_train_29598 | mmlu_aux_train | Nowadays women appear to have a positive image of themselves as safer drivers than men. In a survey done for insurer MetLife, 51% of women said they drive more safely. The evidence is on their side: Men are 3.4 times more likely than women to get a ticket for careless driving and 3.1 times as likely to be punished for ... | C. are more likely to stick to driving laws | high_school_statistics | mathematics | ||
allenai/sciq_9238 | allenai/sciq | Many ceramics are composed of what, which are salts containing anions composed of silicon and oxygen?
A. soils
B. vinylates
C. silicates
D. crystals | C. silicates | At 1600 °C, quartz melts to yield a viscous liquid. When the liquid cools, it does not crystallize readily but usually supercools and forms a glass, also called silica. The SiO4 tetrahedra in glassy silica have a random arrangement characteristic of supercooled liquids, and the glass has some very useful properties. Si... | high_school_chemistry | chemistry | |
allenai/sciq_7397 | allenai/sciq | What are archaea that live in extremely hot environments called?
A. thermophiles
B. hypothermic
C. hemophiliacs
D. tardigrades | A. thermophiles | Archaea that live in extremely hot environments are called thermophiles. | college_biology | biology | |
aquarat_81506 | deepmind/aqua_rat | In a family, there are six members A, B, C, D, E and F.
A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.
How many male members are there in the family ? | A. 1 B. 9 C. 3 D. 4 E. 6 | C. 3 | Explanation:
A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E, who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A.
A is a male. B. the wife, is female. C. the brother, is male.... | formal_logic | mathematics |
aquarat_47906 | deepmind/aqua_rat | A data set with a mean of 40 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean? | A. 18 B. 36 C. 59 D. 63.5 E. 65 | B. 36 | One standard deviation of the mean is from{mean}-{deviation}=40-3.5=36.5 to{mean}+{deviation}=40+3.5=43.5. The smallest number within this range from the options is 36.
Answer: B.
Hope this helps. | high_school_statistics | mathematics |
math_882 | math_mc | Consider the paper triangle whose vertices are $(0,0), (34,0),$ and $(16,24).$ The vertices of its midpoint triangle are the midpoints of its sides. A triangular pyramid is formed by folding the triangle along the sides of its midpoint triangle. What is the volume of this pyramid?
| D | math_Geometry | mathematics | ||
math_1438 | math_mc | Let $p(x)$ be a monic quartic polynomial such that $p(1) = 2,$ $p(2) = 5,$ $p(3) = 10,$ and $p(4) = 17.$ Find $p(5).$ | B | math_Intermediate Algebra | mathematics | ||
allenai/sciq_895 | allenai/sciq | What results when gas particles rebound off the walls of their container?
A. pressure
B. light
C. pull
D. weight | A. pressure | Pressure is what results when gas particles rebound off the walls of their container. The basic unit of pressure is the newton per square meter (N/m2). This combined unit is redefined as a pascal (Pa). One pascal is not a very large amount of pressure. A more useful unit of pressure is the bar, which is 100,000 Pa (1 b... | high_school_physics | physics | |
mmlu_aux_train_4892 | mmlu_aux_train | A mosquito is a type of flying insect that lays eggs in puddles or small pools of water. When larvae develop from eggs, the larvae come to the surface to get air through special breathing tubes. After one to two weeks, the larvae become pupae and then turn into adults. How would a dry summer affect a mosquito populatio... | B. The adult mosquitoes would have fewer places to lay eggs. | high_school_biology | biology | ||
allenai/sciq_11267 | allenai/sciq | What substances digest the food in the vacuole of an ingestive protist?
A. carbohydrates
B. hormones
C. lipids
D. enzymes | D. enzymes | Ingestive protists ingest, or engulf, bacteria and other small particles. They extend their cell wall and cell membrane around the food item, forming a food vacuole. Then enzymes digest the food in the vacuole. | college_biology | biology | |
aquarat_87515 | deepmind/aqua_rat | Call a number parents if it is composite but not divisible by 2, 3, or 5. The three smallest guardian numbers are 49, 77, and 91. There are 168 prime numbers less than 1000. How many parent numbers are there less than 1000? | A. a) 90 B. b) 97 C. c) 100 D. d) 106 E. e) 108 | C. c) 100 | Start with the numbers from 1 - 1000. We have 1000 numbers.
Subtract the primes:
1000 - 168 = 832
Now, subtract the even numbers, divisible by 2. There are 500 even numbers in the set, but the first, 2 itself, has already been subtracted with the primes. There are 499 non-prime even numbers in the set, including 1000 i... | college_mathematics | mathematics |
mmlu_aux_train_86035 | mmlu_aux_train | 1990 was a significant year in world enents. In Febbruary, Nelson Mandela was set free after 27 years in prison. In October, East and West Germany became one country again. Then at the end of 1990, the World Wide Web was born. For this final event we have one man to thank, Tim Berners-Lee, the father of the Web. Berner... | C. The fist web browser was very expensive to buy | high_school_computer_science | computer_science | ||
aquarat_96533 | deepmind/aqua_rat | What is the value of 1×1!+2×2!+3!×3!+............n×n!;where n! means n factorial or n(n−1)(n−2)...1 | A. n(n−1)(n−1)! B. n(n−1)(n−1)! C. n(n−1)(n−1)! D. (n+1)!−1! E. None of these | D. (n+1)!−1! | Explanation :
1×1!=(2−1)×1!=2×1!−1×1!=2!−1!2×2!=(3−1)×2!=3×2!−2!=3!−2!3×3!=(4−1)×3!=4×3!−3!=4!−3!......n×n!=(n+1−1)×n!=(n+1)(n!)−n!=(n+1)!−n!Summing up all these terms, we get (n+1)! - 1!
Answer : D | college_mathematics | mathematics |
pythonio_12 | pythonio-mc | Program:
import re
def find_char_long(text):
return (re.findall(r"\b\w{4,}\b", text))
Input:
find_char_long('Please move back to stream')
Output: | B | code | computer_science | ||
mmlu_aux_train_93027 | mmlu_aux_train | What is determined by the speed that Earth rotates on its axis?
A. the length of a day
B. the energy that reaches a location
C. the temperature of water in the ocean
D. the number of seasons in a year | A. the length of a day | astronomy | physics | ||
aquarat_43337 | deepmind/aqua_rat | There are three leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ? | A. 7 leopard and 3 sheep B. 4 leopard and 7 sheep C. 6 leopard and 4 sheep D. 5 leopard and 1 sheep E. 2 leopard and 1 sheep | E. 2 leopard and 1 sheep | E
2 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this. | formal_logic | mathematics |
mmlu_aux_train_13366 | mmlu_aux_train | Expert Tricks on iPhone 5 We don't want to change your phone, we wanna make you say, wow, that is a bigger change than I expected. iPhone 5 in a result of that desire to surprise. It's been completely redesigned. For the first time ever, we've increased the size of display by making the screen taller but not wider. You... | C. It is taller, thinner but not wider. | high_school_computer_science | computer_science | ||
allenai/sciq_2677 | allenai/sciq | Unlike ammonia, oxygen cannot be liquefied at room temperature because its what is below room temperature?
A. leading temperature
B. relaxed temperature
C. particular temperature
D. critical temperature | D. critical temperature | Check Your Learning Ammonia can be liquefied by compression at room temperature; oxygen cannot be liquefied under these conditions. Why do the two gases exhibit different behavior? Answer: The critical temperature of ammonia is 405.5 K, which is higher than room temperature. The critical temperature of oxygen is below ... | high_school_chemistry | chemistry | |
math_1358 | math_mc | Let $F(x)$ be a polynomial such that $F(6) = 15$ and\[\frac{F(3x)}{F(x+3)} = 9-\frac{48x+54}{x^2+5x+6}\]for $x \in \mathbb{R}$ such that both sides are defined. Find $F(12)$.
| D | math_Intermediate Algebra | mathematics | ||
allenai/sciq_1075 | allenai/sciq | Scientists did not actually see viruses until what was invented?
A. magnifying glass
B. electronic scale
C. electron microscope
D. telescope | C. electron microscope | Scientists did not actually see viruses for the first time until the 1930s. That’s when the electron microscope was invented. The virus shown in Figure below was the first one to be seen. | high_school_biology | biology | |
aquarat_20091 | deepmind/aqua_rat | An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 8, in how many ways can she choose and rank her top 4 picks? | A. 1200 B. 1680 C. 2102 D. 4020 E. 1840 | B. 1680 | Number of ways of choosing 4 stocks = 8C4
Number of ways of ranking the chosen stocks = 4!
Hence total ways of chosing and ranking = 8C4 * 4! = 1680
Correct Option: B | college_mathematics | mathematics |
mmlu_aux_train_68749 | mmlu_aux_train | A 90-year-old tortoise is going twice its usual speed after being equipped with a set of wheels. The animal, called Mrs T, was facing a terrible future after losing her two front legs in a mouse attack while she was sleeping in winter, but her owners glued the wheels onto her shell . "She's going double the speed ... | A. her back legs to push herself | high_school_biology | biology | ||
aquarat_76556 | deepmind/aqua_rat | A coin is weighted so that the probability of heads on any flip is 0.8, while the probability of tails is 0.2. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice? | A. (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2 B. (0.8)^5 + 4(0.8)^4(0.2) + 6(0.8)^3(0.2)^2 C. (0.6)^5 + 3(0.6)^4(0.4) + 2(0.6)^3(0.4)^2 D. (0.8)^5 + 2(0.8)^4(0.2) + (0.8)^3(0.2)^2 E. (0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2 | A. (0.8)^5 + 5(0.8)^4(0.2) + 10(0.8)^3(0.2)^2 | Probability of Head, P(H) = 0.8
Probability of Tail, P(T) = 0.2
Tail will appear NO more than twice
i.e. favourable cases
2 Tails and 3 Heads, Probability = 5C2*(0.8)^3*(0.2)^2
1 Tail and 4 Heads, Probability = 5C1*(0.8)^4*(0.2)^2
0 Tail and 5 Heads, Probability = (0.8)^5
Required Probability = Sum of all Favourable ca... | high_school_statistics | mathematics |
pythonio_559 | pythonio-mc | Program:
def second_smallest(numbers):
if (len(numbers)<2):
return
if ((len(numbers)==2) and (numbers[0] == numbers[1]) ):
return
dup_items = set()
uniq_items = []
for x in numbers:
if x not in dup_items:
uniq_items.append(x)
dup_items.add(x)
uniq_items.sort()
retu... | D | code | computer_science | ||
math_1725 | math_mc | Assume that $a$, $b$, $c$, and $d$ are positive integers such that $a^5 = b^4$, $c^3 = d^2$, and $c - a = 19$. Determine $d - b$.
| C | math_Number Theory | mathematics | ||
mmlu_aux_train_95644 | mmlu_aux_train | Which causes more matter vibration?
A. megaphone
B. walking
C. speaking
D. yelling | A. megaphone | conceptual_physics | physics | ||
allenai/sciq_2375 | allenai/sciq | Carbon released by burning fossil fuels contributes to what effect in the atmosphere?
A. shielding effect
B. greenhouse effect
C. smog effect
D. cloud effect | B. greenhouse effect | Burning of fossil fuels, such as oil, releases carbon into the atmosphere. This carbon must be cycled - removed from the atmosphere - back into living organisms, or it stays in the atmosphere. Increased carbon in the atmosphere contributes to the greenhouse effect on Earth. | high_school_chemistry | chemistry | |
math_897 | math_mc | A right cylinder with a base radius of 3 units is inscribed in a sphere of radius 5 units. The total volume, in cubic units, of the space inside the sphere and outside the cylinder is $W\pi$. Find $W$, as a common fraction. | C | math_Geometry | mathematics | ||
allenai/sciq_4316 | allenai/sciq | What are the chemical formulas for covalent compounds referred to as?
A. Electron Formulas
B. nucleus formulas
C. magnetic formulas
D. molecular formulas | D. molecular formulas | The chemical formulas for covalent compounds are referred to as molecular formulas because these compounds exist as separate, discrete molecules. Typically, a molecular formula begins with the nonmetal that is closest to the lower left corner of the periodic table, except that hydrogen is almost never written first (H2... | high_school_chemistry | chemistry | |
pythonio_174 | pythonio-mc | Program:
def last_Digit_Factorial(n):
if (n == 0): return 1
elif (n <= 2): return n
elif (n == 3): return 6
elif (n == 4): return 4
else:
return 0
Input:
last_Digit_Factorial(30)
Output: | D | code | computer_science | ||
allenai/sciq_3154 | allenai/sciq | Changes of state of matter do not involve what type of reaction?
A. gaseous reaction
B. chemical reaction
C. radiation
D. mechanical reaction | B. chemical reaction | Not all changes in matter involve chemical reactions. For example, there are no chemical reactions involved in changes of state. When liquid water freezes or evaporates, it is still water. No bonds are broken and no new products are formed. | high_school_chemistry | chemistry | |
mmlu_aux_train_99509 | mmlu_aux_train | This likely relies on a circuit being closed
A. your iPhone charger
B. your hair brush
C. your hat
D. your shoes | A. your iPhone charger | electrical_engineering | engineering | ||
aquarat_32562 | deepmind/aqua_rat | Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table
People having X and Y are 20
People having X but not Y are 10
People having Y but not X are 30
People having neither X nor Y are 40. | A. 3 : 5 B. 3 : 4 C. 4 : 3 D. 5 : 3 E. 1 : 2 | A. 3 : 5 | Number of people having characteristic X = 10 + 20 = 30
Number of people having characteristic Y = 20 + 30 = 50
Therefore Required ratio = 30 : 50 = 3 : 5
ANSWER:A | high_school_statistics | mathematics |
pythonio_202 | pythonio-mc | Program:
def perfect_squares(a, b):
lists=[]
for i in range (a,b+1):
j = 1;
while j*j <= i:
if j*j == i:
lists.append(i)
j = j+1
i = i+1
return lists
Input:
perfect_squares(100,200)
Output: | B | code | computer_science | ||
allenai/sciq_3289 | allenai/sciq | Gases on earth originated from comets and what events?
A. volcanic eruptions
B. tides
C. black holes
D. supernovas | A. volcanic eruptions | The earliest Earth did not have an atmosphere or free water. The planet was far too hot for gases and water to collect. The atmosphere and oceans that we see today evolved over time. The gases came from volcanic eruptions and from comets. | astronomy | physics | |
aquarat_22713 | deepmind/aqua_rat | The average age of applicants for a new job is 10, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum ... | A. 8 B. 16 C. 17 D. 18 E. 34 | C. 17 | Minimum age = Average - 1 Standard deviation = 10 - 8 = 2
Maximum age = average + 1 Standard deviation = 10+ 8 = 18
Maximum number of different ages of the applicants = 18 - 2 + 1 = 17
Answer C | high_school_statistics | mathematics |
pythonio_61 | pythonio-mc | Program:
from array import array
def negative_count(nums):
n = len(nums)
n1 = 0
for x in nums:
if x < 0:
n1 += 1
else:
None
return round(n1/n,2)
Input:
negative_count([0, 1, 2, -1, -5, 6, 0, -3, -2, 3, 4, 6, 8])
Output: | A | code | computer_science | ||
math_1659 | math_mc | Given that $a$ is an odd multiple of $7767$, find the greatest common divisor of $6a^2+49a+108$ and $2a+9$. | A | math_Number Theory | mathematics | ||
math_852 | math_mc | The base of a triangular piece of paper $ABC$ is $12\text{ cm}$ long. The paper is folded down over the base, with the crease $DE$ parallel to the base of the paper. The area of the triangle that projects below the base is $16\%$ that of the area of the triangle $ABC.$ What is the length of $DE,$ in cm?
[asy]
draw((0,... | A | math_Geometry | mathematics | ||
allenai/sciq_3739 | allenai/sciq | What type of chemistry is the study of chemicals containing carbon called?
A. biochemistry
B. inorganic chemistry
C. organic chemistry
D. bioanalytical chemistry | C. organic chemistry | Organic chemistry is the study of chemicals containing carbon. Carbon is one of the most abundant elements on Earth and is capable of forming a tremendously vast number of chemicals (over twenty million so far). Most of the chemicals found in all living organisms are based on carbon. | high_school_chemistry | chemistry | |
NLP4Education_673 | NLP4Education | Tick the \textbf{false} assertion. In order to have zero-knowledge from $\Sigma$-protocols, we need to add the use of \ldots
A. an ephemeral key $h$ and a Pedersen commitment.
B. a common reference string.
C. hash functions.
D. none of the above is necessary, zero-knowledge is already contained in $\Sigma$-protocols. | D. none of the above is necessary, zero-knowledge is already contained in $\Sigma$-protocols. | computer_security | computer_science | ||
mmlu_aux_train_34679 | mmlu_aux_train | A: I once heard someone shout, "Look out." I put my heard out of the window and a bucketful water fell on me. It seems that "Look out" may mean "Don't look out". B: I was once on a ship and heard the captain shout, "All hands on deck ." I put my hands on the deck and someone walked on them. C: I once called early on an... | C. Be careful | formal_logic | mathematics | ||
math_683 | math_mc | On the refrigerator, MATHCOUNTS is spelled out with 10 magnets, one letter per magnet. Two vowels and three consonants fall off and are put away in a bag. If the Ts are indistinguishable, how many distinct possible collections of letters could be put in the bag? | C | math_Counting & Probability | mathematics | ||
aquarat_2682 | deepmind/aqua_rat | Which of the following is(are) false for a@b=b@a?
I. a@b=ab+ba
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 | A. only Ⅰ | -> If I. a@b=ab+ba, a@b=ab+ba=ba+ab=b@a (X).
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 (O).
Thus, ⅠⅢ are the answers. Therefore, A is the answer. | college_mathematics | mathematics |
allenai/sciq_9398 | allenai/sciq | What is the term for a technique used to separate out homogeneous mixtures in which one or more solids are dissolved in a liquid?
A. distillation
B. transpiration
C. evaporation
D. absorption | C. evaporation | Evaporation is a technique used to separate out homogeneous mixtures in which one or more solids are dissolved in a liquid. Typically, the mixture is heated until all of the liquid has vaporized, leaving behind the dissolved solids ( Figure below ). The vapor can also be captured and recondensed into a liquid if desire... | high_school_chemistry | chemistry | |
pythonio_254 | pythonio-mc | Program:
def merge(lst):
return [list(ele) for ele in list(zip(*lst))]
Input:
merge([['x', 'y','z' ], ['a', 'b','c'], ['m', 'n','o']])
Output: | D | code | computer_science | ||
NLP4Education_26 | NLP4Education | In an x86 multiprocessor system with JOS, select all the correct options. Assume every Env has a single thread.
A. Two Envs could run on the same processor simultaneously.
B. Two Envs could run on two different processors simultaneously.
C. One Env could run on two different processors simultaneously.
D. One Env could ... | B. Two Envs could run on two different processors simultaneously. | computer_security | computer_science | ||
math_167 | math_mc | We define a function $f(x)$ such that $f(11)=34$, and if there exists an integer $a$ such that $f(a)=b$, then $f(b)$ is defined and
$f(b)=3b+1$ if $b$ is odd
$f(b)=\frac{b}{2}$ if $b$ is even.
What is the smallest possible number of integers in the domain of $f$? | C | math_Algebra | mathematics | ||
allenai/sciq_6364 | allenai/sciq | What substance comes toward earth's crust through mantle plumes?
A. gas
B. water
C. rocks
D. magma | D. magma | Some volcanoes form over active hot spots . Scientists count about 50 hot spots on the Earth. Hot spots may be in the middle of a tectonic plate. Hot spots lie directly above a column of hot rock called a mantle plume . Mantle plumes continuously bring magma up from the mantle towards the crust ( Figure below ). | earth_science | earth_science | |
math_870 | math_mc | Let $\overline{CH}$ be an altitude of $\triangle ABC$. Let $R\,$ and $S\,$ be the points where the circles inscribed in the triangles $ACH\,$ and $BCH$ are tangent to $\overline{CH}$. If $AB = 1995\,$, $AC = 1994\,$, and $BC = 1993\,$, then $RS\,$ can be expressed as $m/n\,$, where $m\,$ and $n\,$ are relatively prime ... | C | math_Geometry | mathematics | ||
NLP4Education_565 | NLP4Education | What is the encryption of the word ``SECRECY'' under the Vigenère cipher using the key ``ZAB''?
A. REDQEDX
B. RDDQEDX
C. REDQEKX
D. REDUEDX | A. REDQEDX | coding | computer_science | ||
math_626 | math_mc | Let $S$ be a subset of $\{1,2,3,\ldots,1989\}$ such that no two members of $S$ differ by $4$ or $7$. What is the largest number of elements $S$ can have?
| A | math_Counting & Probability | mathematics | ||
pythonio_712 | pythonio-mc | Program:
def sort_tuple(tup):
n = len(tup)
for i in range(n):
for j in range(n-i-1):
if tup[j][0] > tup[j + 1][0]:
tup[j], tup[j + 1] = tup[j + 1], tup[j]
return tup
Input:
sort_tuple([("Sarala", 28), ("Ayesha", 30), ("Suman", 29),("Sai", 21), ("G", "H")])
Output: | C | code | computer_science | ||
mmlu_aux_train_93794 | mmlu_aux_train | If the solar system were used as a model of an atom, what would the Sun most likely represent?
A. an ion
B. a nucleus
C. a neutron
D. an electron | B. a nucleus | astronomy | physics | ||
aquarat_37012 | deepmind/aqua_rat | The residents of the town O participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town O, watched television last we... | A. - 30 B. - 20 C. - 18 D. - 12 E. - 6 | E. - 6 | (21-6*2)<number of hours that Pat watched television last week <(21-6*1)
=9<L<15
Only option E (12) satisfies this condition. | high_school_statistics | mathematics |
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