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 |
|---|---|---|---|---|---|---|---|
math_1247 | math_mc | Find the $\emph{positive}$ real number(s) $x$ such that $\frac{1}{2}\left( 3x^2-1\right) = \left( x^2-50x-10\right)\left( x^2+25x+5\right)$. | A | math_Intermediate Algebra | mathematics | ||
NLP4Education_19 | NLP4Education | What is the content of the superblock in the JOS file system?
A. List of all blocks
B. List of all inodes
C. Magic number identifying the file system
D. List of all files | C. Magic number identifying the file system | college_computer_science | computer_science | ||
mmlu_aux_train_94203 | mmlu_aux_train | What causes the blue color of the sky?
A. emission of light by land and water surfaces
B. reflection of light from land and water surfaces
C. absorption of light by matter in the atmosphere
D. scattering of light by matter in the atmosphere | D. scattering of light by matter in the atmosphere | college_physics | physics | ||
mmlu_aux_train_37627 | mmlu_aux_train | Siri is an artificial intelligence (AI) that you can carry around in the pocket, where it waits patiently to be told what to do. In the week we spent together, my AI assistant has performed admirably in finding me restaurants, or the location of the nearest coffee shop. A typical command might be: "Reserve a table for ... | D. An artificial intelligence software. | computer_security | computer_science | ||
aquarat_9175 | deepmind/aqua_rat | If 2/z = 2/(z + 1) + 2/(z + 25) which of these integers could be the value of z? | A. 0 B. 1 C. 2 D. 3 E. 5 | E. 5 | Solving for z algebraically in this problem would not be easy. Instead, we can follow the hint in the question (“which of these integers…”) and test each answer choice:
A. 2/0 = 2/1 +2/25 INCORRECT (Division by zero)
B. 2/1 = 2/2 +2/26 INCORRECT
C. 2/2 = 2/3 +2/27 INCORRECT
D. 2/3 = 2/4 +2/28 INCORRECT
E. 2/4 = 2/5 +2/... | college_mathematics | mathematics |
NLP4Education_533 | NLP4Education | A MAC forgery is...
A. a valid pair $(X,c)$ produced by the adversary.
B. a valid pair $(X,c)$ produced by the MAC issuer.
C. a valid pair $(X,c)$ produced by the MAC verifier.
D. a key recovery attack. | A. a valid pair $(X,c)$ produced by the adversary. | computer_security | computer_science | ||
mmlu_aux_train_99436 | mmlu_aux_train | Which is most accurate?
A. melting is when solids are heated above their melting point; freezing is when solids are cooled from liquid to solid
B. melting is when solids are heated above their melting point; melting is when solids are cooled from liquid to solid
C. freezing is when solids are heated above their meltin... | A. melting is when solids are heated above their melting point; freezing is when solids are cooled from liquid to solid | high_school_chemistry | chemistry | ||
allenai/sciq_11291 | allenai/sciq | What law shows the relationships among temperature, volume, and pressure?
A. Murphy's Law
B. Law of Conservation
C. combined gas
D. Newton's law | C. combined gas | The combined gas law shows the relationships among temperature, volume, and pressure. | high_school_physics | physics | |
aquarat_885 | deepmind/aqua_rat | L = {3, 4, 5, 5, 6, 7}
M = {2, 2, 2, 8, 8, 8}
N = {15, 15, 15, 15, 15, 15}
Rank those three sets from least standard deviation to greatest standard deviation. | A. L, M, N B. M, L, N C. M, N, L D. RANKING=N, L, M E. N, M, | D. RANKING=N, L, M | Square of Standard deviation is sum of squares of deviation from the mean divided by the number of terms.
If deviation from the mean is higher for the same number of elements, standard deviation will be higher.
L = {3, 4, 5, 5, 6, 7}
Mean is 5 and deviation of 2 elements from mean is 0, of 2 elements is 1 and of 2 elem... | high_school_statistics | mathematics |
allenai/sciq_2400 | allenai/sciq | The barrier defenses are not a response to infections, but they are continuously working to protect against a broad range of what?
A. mates
B. pathogens
C. ecosystems
D. nutrients | B. pathogens | environment of the body’s soft tissues. Barrier defenses are part of the body’s most basic defense mechanisms. The barrier defenses are not a response to infections, but they are continuously working to protect against a broad range of pathogens. The different modes of barrier defenses are associated with the external ... | high_school_biology | biology | |
mmlu_aux_train_2806 | mmlu_aux_train | Electric circuits provide energy for lightbulbs. Which of these prevents the flow of electrons?
A. a circuit that is closed
B. a series circuit
C. a circuit that is open
D. a parallel circuit | C. a circuit that is open | electrical_engineering | engineering | ||
pythonio_149 | pythonio-mc | Program:
def empty_list(length):
empty_list = [{} for _ in range(length)]
return empty_list
Input:
empty_list(6)
Output: | D | code | computer_science | ||
mmlu_aux_train_83228 | mmlu_aux_train | Who is reading your blogs or checking out your information online? Two reports show that surfing the Internet and sending personal information to people you do not know could be a problem. Most sites give users their own webspace where they can write their diaries or post their pictures. The sites encourage users to ge... | C. Smoking, drinking and fighting. | computer_security | computer_science | ||
aquarat_76782 | deepmind/aqua_rat | A, E, F, and G ran a race. A said "I did not finish 1st /4th E said "I did not finish 4th" F said "I finished 1st" G said "I finished 4th" If there were no ties and exactly 3 children told the truth, when who finishes 4th? | A. J B. H C. K D. G E. H | D. G | Answer : D | formal_logic | mathematics |
allenai/sciq_7171 | allenai/sciq | Gibbs free energy values can be used to determine what?
A. prime constants
B. equilibrium differentials
C. equilibrium constants
D. equal lines | C. equilibrium constants | Gibbs free energy values can be used to determine equilibrium constants. | college_chemistry | chemistry | |
pythonio_675 | pythonio-mc | Program:
def remove_even(l):
for i in l:
if i % 2 == 0:
l.remove(i)
return l
Input:
remove_even([5,6,7])
Output: | D | code | computer_science | ||
mmlu_aux_train_73847 | mmlu_aux_train | Is your TV connected to the Internet? What about your chair, or your fridge? Probably they are not. But in the future, most things in your home may be connected, thanks to the so-called "Internet of things". The Internet of things may be coming sooner than you think. Earlier this year, Samsung CEO spent a lot of time t... | B. In 2020 | computer_security | computer_science | ||
aquarat_8036 | deepmind/aqua_rat | A software programmer does 10% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of... | A. 13x /15 B. 15x/15 C. 7x/15 D. 2x/30 E. 13x/30 | C. 7x/15 | Take X=30 lines
80% of 30 = 24 lines
20% of 30 = 6 lines
W - R - T
6 lines - r1 - 24 (first 80% of the 30 days)
24 lines - r2 - 6 ( last 20% of the 20 days)
r1 = 1/4r2 = 4
Now Work in last 14 days = 6 days programmer worked at r2 + 8days programmer worked at r1
=> 6 * 4 + 8 * 1/4 = 24 + 2 = 26
Insert, X=30 in all optio... | coding | computer_science |
math_357 | math_mc | Let the reciprocals of the roots of $5x^2 + 3x + 4$ be $\alpha$ and $\beta$. Evaluate $\alpha + \beta$. | B | math_Algebra | mathematics | ||
math_1338 | math_mc | Find the smallest positive real number $x$ such that
\[\lfloor x^2 \rfloor - x \lfloor x \rfloor = 6.\] | C | math_Intermediate Algebra | mathematics | ||
math_1078 | math_mc | A right pyramid with a square base has total surface area 432 square units. The area of each triangular face is half the area of the square face. What is the volume of the pyramid in cubic units? | D | math_Geometry | mathematics | ||
math_812 | math_mc | In triangle $ABC$, $AB = 10$, $BC = 14$, and $CA = 16$. Let $D$ be a point in the interior of $\overline{BC}$. Let points $I_B$ and $I_C$ denote the incenters of triangles $ABD$ and $ACD$, respectively. The circumcircles of triangles $BI_BD$ and $CI_CD$ meet at distinct points $P$ and $D$. The maximum possible area of ... | A | math_Geometry | mathematics | ||
allenai/sciq_1045 | allenai/sciq | What type of invisible waves are used in microwaves?
A. electric
B. thermal
C. convection
D. radiation | D. radiation | Did you ever wonder how a microwave works? It directs invisible waves of radiation toward the food placed inside of it. The radiation transfers energy to the food, causing it to get warmer. The radiation is in the form of microwaves, which are a type of electromagnetic waves. | high_school_physics | physics | |
pythonio_943 | pythonio-mc | Program:
def sum_Natural(n):
sum = (n * (n + 1))
return int(sum)
def sum_Even(l,r):
return (sum_Natural(int(r / 2)) - sum_Natural(int((l - 1) / 2)))
Input:
sum_Even(4,6)
Output: | A | code | computer_science | ||
NLP4Education_374 | NLP4Education | Which mode of operation is similar to a stream cipher?
A. ECB
B. OFB
C. CFB
D. CBC | B. OFB | computer_security | computer_science | ||
NLP4Education_631 | NLP4Education | Let $p>2$ be a prime. Then …
A. For any $x \in \mathbb{Z}_p^*$, we have $x^p \bmod{p} = 1$.
B. The set of quadratic residues modulo $p$ form a field.
C. The set of quadratic residues modulo $p$ is of order $(p-1)/2$.
D. $\phi(p^2) = (p-1)^2$. | C. The set of quadratic residues modulo $p$ is of order $(p-1)/2$. | abstract_algebra | mathematics | ||
math_1890 | math_mc | Billy Goats invested some money in stocks and bonds. The total amount he invested was $\$165,\!000$. If he invested 4.5 times as much in stocks as he did in bonds, what was his total investment in stocks? | B | math_Prealgebra | mathematics | ||
aquarat_12255 | deepmind/aqua_rat | A 25% stock yielding 20% is quoted at: | A. s. 83.33 B. s. 110 C. s. 112 D. s. 125 E. s. 140 | D. s. 125 | Income of Rs 20 on investment of Rs 100
Income of Rs 25 on investment of ?
= (25*100)/20=125
ANSWER:D | college_mathematics | mathematics |
mmlu_aux_train_81590 | mmlu_aux_train | Billy Dengler, a 14-year-old boy, is in the eighth grade. A month after he was born, Billy's mother, Terri, noticed that his eyes weren't quite as big as a normal baby's. She took Billy to the hospital, and the doctor said Billy would never be able to see. Although Billy can't see, he has never let that hold him back o... | D. he was a month old. | high_school_computer_science | computer_science | ||
aquarat_81273 | deepmind/aqua_rat | solve this logic number sequence( based on circles in digits) puzzle by the correct digit?
8080=6
1357=0
2022=1
1999=3
6666=? | A. 6 B. 4 C. 8 D. 2 E. 5 | B. 4 | Correct Answer : B
No. of circles in the number | formal_logic | mathematics |
mmlu_aux_train_49748 | mmlu_aux_train | Spider webs are one of the most fascinating examples of animal architecture. The most beautiful and structurally ordered are the round webs. The main function of the web is to stop and hold flying insects,long enough for the spider to catch them. In order to do so,the threads of the web have to stand the forces from la... | B. The capture spirals. | high_school_biology | biology | ||
aquarat_91299 | deepmind/aqua_rat | The temperatures in degrees Celsius recorded at a certain specific point in the evening in various parts of a country were 10°, 5°, -2°, -1°, -5°, 15°. What is the median of these temperatures? | A. -2°C B. -1°C C. 2°C D. 3°C E. 5°C | C. 2°C | Explanation:
To get the median first we need to sort the temperatures in ascending order:
-5°, -2°, -1°, 5°, 10°, 15°
When the number of values in a list is even, the median is the average of the middle two values in the list in this case -1 and 5, i.e. 2.
Answer: Option C | high_school_statistics | mathematics |
mmlu_aux_train_47367 | mmlu_aux_train | People with an impulsive personality refer to those who tend to do things without considering the possible dangers or problems first. According to a new study by researchers at the University of Georgia, such people may be more likely to have food addiction. The study found that people exhibiting impulsive behavior wer... | B. It might help some impulsive people with food addiction to lose weight. | clinical_knowledge | biology | ||
mmlu_aux_train_45035 | mmlu_aux_train | A home computer not only helps children master the old ways of learning, but also opens up possibilities that simply aren't available in traditional education. Some software, for example, allows kids to make decisions and see the results in different situations. The World Wide Web encourages young minds to move easily ... | B. the advantages of children' using computers | high_school_computer_science | computer_science | ||
mmlu_aux_train_95402 | mmlu_aux_train | A higher barometer reading means
A. lower air pressure in the atmosphere
B. an atmosphere lacking in air pressure
C. greater air pressure in the atmosphere
D. that the barometer is broken | C. greater air pressure in the atmosphere | conceptual_physics | physics | ||
math_2002 | math_mc | How many numbers can you get by multiplying two or more distinct members of the set $\{1,2,3,5,11\}$ together? | A | math_Prealgebra | mathematics | ||
mmlu_aux_train_96824 | mmlu_aux_train | A satellite may make a revolution when
A. plans a long trip
B. creates a new course
C. takes off into space
D. it travels around a thing | D. it travels around a thing | astronomy | physics | ||
aquarat_9401 | deepmind/aqua_rat | A Boeing 757 flies a direct route from Dallas, TX, to Phoenix, AZ and then returns to Dallas, TX. The flight is 900 miles one way. It took 2 hrs and 15 minutes for the flight to Phoenix and 2 hrs for the flight back to Dallas. What was the speed of the wind in mph? | A. 20 mph B. 25 mph C. 30 mph D. 35 mph E. 40 mph | B. 25 mph | Explanation:
Change the times in the problem to minutes first.
Speed of airplane from Dallas to Phoenix: (900/135) X 60 = 400 mph
Speed of airplane from Phoenix to Dallas: (900/120) X 60 = 450 mph
Wind speed: 1/2 (450 - 400) = 50/2 = 25 mph
Answer: Option B | conceptual_physics | physics |
aquarat_86682 | deepmind/aqua_rat | The following sets each have a mean of 16 and the standard deviations are given in variable form.
Set I = {11, 13, 15, 17, 19, 21}, standard deviation = P
Set II = {16, 16, 16, 16, 16, 16}, standard deviation = Q
Set III = {10, 10, 10, 22, 22, 22}, standard deviation = R
Rank these three standard deviations from greate... | A. P, Q, R B. Q, R, P C. R, P, Q D. P, R, Q E. R, Q, P | C. R, P, Q | The answer should be C as the mean is most deviated in Set III followed by Set I and then Set II. | high_school_statistics | mathematics |
pythonio_389 | pythonio-mc | Program:
import math
def get_Pos_Of_Right_most_Set_Bit(n):
return int(math.log2(n&-n)+1)
def set_Right_most_Unset_Bit(n):
if (n == 0):
return 1
if ((n & (n + 1)) == 0):
return n
pos = get_Pos_Of_Right_most_Set_Bit(~n)
return ((1 << (pos - 1)) | n)
Input:
... | D | code | computer_science | ||
NLP4Education_7 | NLP4Education | In x86, what are the possible ways to transfer arguments when invoking a system call? For example, in the following code, string and len are sys_cputs’s arguments.
A. Only by using the stack
B. Only by using registers
C. By using the stack or registers
D. By using instructions | C. By using the stack or registers | computer_security | computer_science | ||
math_2066 | math_mc | Square $ABCD$ is constructed along diameter $AB$ of a semicircle, as shown. The semicircle and square $ABCD$ are coplanar. Line segment $AB$ has a length of 6 centimeters. If point $M$ is the midpoint of arc $AB$, what is the length of segment $MC$? Express your answer in simplest radical form. [asy]
size(4cm);
dotfac... | C | math_Prealgebra | mathematics | ||
allenai/sciq_4378 | allenai/sciq | The lithosphere-asthensophere divisions are based on what?
A. constant properties
B. mechanical properties
C. mechanical compounds
D. elemental properties | B. mechanical properties | The lithosphere-asthensophere divisions are based on mechanical properties. | college_earth_science | earth_science | |
aquarat_16259 | deepmind/aqua_rat | Company C sells a line of 25 products with an average retail price of $1,000. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product? | A. 9000 B. 8000 C. 7000 D. 6000 E. 5000 | C. 7000 | The average price of 25 products is $1,000 means that the total price of 25 products is 25*1,000=$25,000.
Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $400 each (min possible).
Now, the remaining 14 items cannot be priced less than $1,000, thus the minimum po... | college_mathematics | mathematics |
math_744 | math_mc | A cone has a volume of $12288\pi$ cubic inches and the vertex angle of the vertical cross section is 60 degrees. What is the height of the cone? Express your answer as a decimal to the nearest tenth. [asy]
import markers;
size(150);
import geometry;
draw(scale(1,.2)*arc((0,0),1,0,180),dashed);
draw(scale(1,.2)*arc((0,... | D | math_Geometry | mathematics | ||
math_1687 | math_mc | What is the sum of all of the positive even factors of $504$? | C | math_Number Theory | mathematics | ||
mmlu_aux_train_28100 | mmlu_aux_train | How you end a computer session depends on how you use the computer, your views on energy conservation , and what you have been told about how your decision will affect your investment's longevity: will frequent starting and stopping cause its circuits to burn out sooner? Rest easy, your computer is more likely to be d... | C. It will have to be rebooted when used again. | computer_security | computer_science | ||
math_1297 | math_mc | Find the sum of the $2007$ roots of $(x-1)^{2007}+2(x-2)^{2006}+3(x-3)^{2005}+\cdots+2006(x-2006)^2+2007(x-2007)$.
| D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_49088 | mmlu_aux_train | Americans like to visit the national parks. In 1996, over 250,000,000 people visited areas which are managed by the National Park Service. Experts say that by 2012, 500,000,000 people per year will visit the parks. As a result, people are trying to think of ways to protect the parks from the crowds. The crowding of the... | A. may be doubled | high_school_statistics | mathematics | ||
allenai/sciq_3957 | allenai/sciq | What composition determines both eruption type and volcano type?
A. magma
B. chemical
C. electrical
D. gas | A. magma | Magma composition determines both eruption type and volcano type. | college_geology | earth_science | |
mmlu_aux_train_44297 | mmlu_aux_train | American researchers have found that variations in a single gene can be used to predict if someone is likely to take their own life. Researchers at John Hopkins University, in Baltimore, Maryland, found that the gene SKA2 stopped functioning correctly in people at risk of suicide. The SKA2 gene is found in the prefron... | C. To predict whether someone may attempt suicide. | medical_genetics | biology | ||
aquarat_88745 | deepmind/aqua_rat | A baseball game is played at Wickley Field. The Blues vs. The Grays. 25% of all players hit a home-run (hit the ball out of the park). Some players on The Grays team were injured, so they didn't play. If the ratio of players of the teams is 5:4, respectively, and the percentage of players who hit a home-run for The Blu... | A. 40% B. 45% C. 35% D. 45.5% E. 35.5% | B. 45% | Let B and G be number players Blues and Grays, respectively, and h represent hit a home-run.
B + G = total players.
B:G = 5:4
Bh/B = 15%
Gh/G = ?
[(5)(Bh/B) + (4)(Gh/G)]/(5 + 4) = 25%
[(5)(15%) + (4)(Gh/G)]/9 = 25%
Gh/G = 45%
Answer: B | high_school_statistics | mathematics |
math_161 | math_mc | If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$? | B | math_Algebra | mathematics | ||
allenai/sciq_2131 | allenai/sciq | Diamond is extremely hard because of the strong bonding between ______ in all directions?
A. liquid atoms
B. carbon atoms
C. hydrogen atoms
D. consistent atoms | B. carbon atoms | Figure 10.43 Diamond is extremely hard because of the strong bonding between carbon atoms in all directions. Graphite (in pencil lead) rubs off onto paper due to the weak attractions between the carbon layers. An image of a graphite surface shows the distance between the centers of adjacent carbon atoms. (credit left p... | high_school_chemistry | chemistry | |
aquarat_12444 | deepmind/aqua_rat | 9.8 , 9.8 , 9.9 , 9.9 , 10.0 , 10.0 , 10.1 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.212 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean? | A. 90.5% B. 87.5% C. 80.5% D. 77.5% E. 70.5% | B. 87.5% | Within 1 standard deviation of the mean- means in the range {mean-1*sd; mean+1*sd} = {10-1*0.212; 10+0.3} = {9.788; 10.212}.
From the 8 listed numbers, 7 are within this range so 6/8=87.5%.
Answer: B. | high_school_statistics | mathematics |
pythonio_387 | pythonio-mc | Program:
import re
def replace(string, char):
pattern = char + '{2,}'
string = re.sub(pattern, char, string)
return string
Input:
replace('Moon','o')
Output: | A | code | computer_science | ||
allenai/sciq_7964 | allenai/sciq | What is it called when waves interact with other waves?
A. combination interference
B. wave impact
C. wave interference
D. wave collision | C. wave interference | Waves interact not only with matter in the ways described above. Waves also interact with other waves. This is called wave interference . Wave interference may occur when two waves that are traveling in opposite directions meet. The two waves pass through each other, and this affects their amplitude. How amplitude is a... | conceptual_physics | physics | |
math_2220 | math_mc | Let $a_0$, $a_1$, $a_2$, $\dots$ be an infinite sequence of real numbers such that $a_0 = \frac{5}{13}$ and
\[
a_{n} = 2 a_{n-1}^2 - 1
\]for every positive integer $n$. Let $c$ be the smallest number such that for every positive integer $n$, the product of the first $n$ terms satisfies the inequality
\[|a_0 a_1 \dot... | C | math_Precalculus | mathematics | ||
pythonio_442 | pythonio-mc | Program:
def sort_dict_item(test_dict):
res = {key: test_dict[key] for key in sorted(test_dict.keys(), key = lambda ele: ele[1] * ele[0])}
return (res)
Input:
sort_dict_item({(7, 8) : 5, (4, 5) : 11, (10, 6): 12, (8, 6): 14} )
Output: | A | code | computer_science | ||
allenai/sciq_9529 | allenai/sciq | What is the reaction called when an acid and a base react?
A. oxidation
B. neutralization
C. activation
D. decomposition | B. neutralization | When an acid and a base react, the reaction is called a neutralization reaction . That’s because the reaction produces neutral products. Water is always one product, and a salt is also produced. A salt is a neutral ionic compound. You can learn more about salts and how they form at this URL: http://www. youtube. com/wa... | high_school_chemistry | chemistry | |
mmlu_aux_train_95406 | mmlu_aux_train | A
A. bacterial cell must perform all life functions
B. lung cell
C. flower cell
D. tail cell | A. bacterial cell must perform all life functions | high_school_biology | biology | ||
aquarat_74642 | deepmind/aqua_rat | Venus travels around the sun at a speed of approximately 21.9 miles per second. The approximate speed is how many miles per hour? | A. 64,420 B. 78,840 C. 83,160 D. 88,970 E. 94,320 | B. 78,840 | 21.9 * 3600 = 78,840
The answer is B. | conceptual_physics | physics |
allenai/sciq_2602 | allenai/sciq | Regulation of the reproductive system is a process that requires the action of hormones from which gland?
A. thyroid gland
B. pituitary gland
C. adrenal gland
D. salivary gland | B. pituitary gland | Hormonal Regulation of the Reproductive System Regulation of the reproductive system is a process that requires the action of hormones from the pituitary gland, the adrenal cortex, and the gonads. During puberty in both males and females, the hypothalamus produces gonadotropin-releasing hormone (GnRH), which stimulates... | college_biology | biology | |
mmlu_aux_train_57359 | mmlu_aux_train | They're WILD animals By Ernst-Ulrich Franzen March 11, 2010(3) Comments The story about the woman who lost some fingers while feeding a bear at a zoo in Manitowoc, after she ignored warnings and barriers , reminded me of the story I heard about a couple who put their baby on the back of a wild horse in South Dakota to ... | C. she was somehow influenced by cartoon characters | high_school_biology | biology | ||
pythonio_561 | 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... | A | code | computer_science | ||
mmlu_aux_train_69799 | mmlu_aux_train | There is a library in John's school. It's new and big. It's behind the classroom building. It has three floors. On the first floor, there are two reading rooms. There are five big desks and thirty chairs in each reading room. John comes here and does his homework after class every day. On the second floor, there are a ... | C. It's big and new. | high_school_computer_science | computer_science | ||
mmlu_aux_train_1294 | mmlu_aux_train | Sherry is going to use her computer to draw a three-dimensional box. She wants to be able to specify the exact dimensions and angles and to rotate the box as needed on the screen. Which of the following types of programs would Sherry most likely use for this purpose?
A. word processing software
B. math spreadsheet pro... | D. computer-aided design program | college_computer_science | computer_science | ||
aquarat_19545 | deepmind/aqua_rat | GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then BED? | A. 33 B. 34 C. 35 D. 32 E. 31 | A. 33 | GOOD=(7+15+15+4)*4=164
BAD= (2+1+4)*3=21
UGLY= (21+7+12+25)*4=260
coding follows
(sum of position of alphabets)*(no. of letters in the given word)
so,
BED=(2+5+4)*3= 33
ANSWER:A | formal_logic | mathematics |
math_671 | math_mc | Nine people sit down for dinner where there are three choices of meals. Three people order the beef meal, three order the chicken meal, and three order the fish meal. The waiter serves the nine meals in random order. Find the number of ways in which the waiter could serve the meal types to the nine people so that exact... | D | math_Counting & Probability | mathematics | ||
math_2208 | math_mc | A particle is located on the coordinate plane at $(5,0)$. Define a ''move'' for the particle as a counterclockwise rotation of $\frac{\pi}{4}$ radians about the origin followed by a translation of $10$ units in the positive $x$-direction. Find the particle's position after $150$ moves. | C | math_Precalculus | mathematics | ||
allenai/sciq_75 | allenai/sciq | What is the common word for potential difference in a circuit?
A. watt
B. voltage
C. frequency
D. velocity | B. voltage | Conceptual Questions 19.1 Electric Potential Energy: Potential Difference 1. Voltage is the common word for potential difference. Which term is more descriptive, voltage or potential difference? 2. If the voltage between two points is zero, can a test charge be moved between them with zero net work being done? Can this... | electrical_engineering | engineering | |
math_554 | math_mc | A Senate committee has 5 Democrats and 5 Republicans. In how many ways can they sit around a circular table if each member sits next to two members of the other party? (Two seatings are the same if one is a rotation of the other.) | B | math_Counting & Probability | mathematics | ||
NLP4Education_701 | NLP4Education | Which of the following statements about code instrumentation is/are correct?
A. Instrumentation code for coverage collection should preserve the original program's functionality.
B. Binary rewriting-based coverage collection always has lower runtime overheads than compiler-based instrumentation.
C. Edge coverage can on... | A. Instrumentation code for coverage collection should preserve the original program's functionality. | computer_security | computer_science | ||
math_811 | math_mc | Let $u$ and $v$ be integers satisfying $0 < v < u$. Let $A = (u,v)$, let $B$ be the reflection of $A$ across the line $y = x$, let $C$ be the reflection of $B$ across the y-axis, let $D$ be the reflection of $C$ across the x-axis, and let $E$ be the reflection of $D$ across the y-axis. The area of pentagon $ABCDE$ is $... | B | math_Geometry | mathematics | ||
mmlu_aux_train_15189 | mmlu_aux_train | Picture the scene: You come home after work feeling too exhausted to cook -only to find a delicious meal worthy of a Michelin-starred restaurant waiting for you. It sounds like a fantasy, but it could be about to come true thanks to a robot chef developed by British scientists. Those scientists have come up with a set ... | B. enjoy delicious meals | machine_learning | computer_science | ||
mmlu_aux_train_94742 | mmlu_aux_train | A group of students is taking a hike along a stream channel. One student picks up a rock from the stream and notices that the rock is very smooth and round. Which type of weathering most likely shaped the rock?
A. abrasion
B. exfoliation
C. fracturing
D. oxidation | A. abrasion | college_biology | biology | ||
math_1966 | math_mc | The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled? | C | math_Prealgebra | mathematics | ||
aquarat_1913 | deepmind/aqua_rat | A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made? | A. 1260 B. 210 C. 10C6 *6! D. 10C5 *6 E. None | C. 10C6 *6! | Solution:
A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.
Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210 *6= 1260.
Alternatively, we can select the 5 member team out of the 10 in 10C5 ways = 252 wa... | college_mathematics | mathematics |
aquarat_94964 | deepmind/aqua_rat | Consider 6 points, two of which are A and B, such that each pair of points is connected by a
line segment and no three points are collinear. Compute the number of distinct paths from A
to B such that no point is visited more than once. | A. 61 B. 62 C. 63 D. 64 E. 65 | E. 65 | We consider cases based on the length of the path. Note that there is 1 path of
length 1, 4 paths of length 2, 4 *3 = 12 paths of length 3, 4* 3 *2 = 12 paths of length 4,
4 * 3 * 2 * 1 = 24 paths of length 5, and no paths of length 6 or greater. Therefore, there are a
total of 1 + 4 + 12 + 24 + 24 = 65 distinct paths.... | college_mathematics | mathematics |
math_1700 | math_mc | What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\equiv 26\pmod 8$? | D | math_Number Theory | mathematics | ||
math_2148 | math_mc | Let $P$ be the plane passing through the origin with normal vector $\begin{pmatrix} 1 \\ 1 \\ -1 \end{pmatrix}.$ Find the matrix $\mathbf{R}$ such that for any vector $\mathbf{v},$ $\mathbf{R} \mathbf{v}$ is the reflection of $\mathbf{v}$ through plane $P.$ | C | math_Precalculus | mathematics | ||
math_365 | math_mc | Suppose that $y^3$ varies inversely with $\sqrt[3]{z}$. If $y=2$ when $z=1$, find the value of $z$ when $y=4$. Express your answer in simplest fractional form. | A | math_Algebra | mathematics | ||
allenai/sciq_6501 | allenai/sciq | Instruments that measure the angle of the slope of a volcano are called what?
A. aberration meters
B. tilt meters
C. velocity meters
D. angle meters | B. tilt meters | All that magma and gas pushing upward can make the volcano’s slope begin to swell. Ground swelling may change the shape of a volcano or cause rock falls and landslides. Most of the time, the ground tilting is not visible. Scientists detect it by using tiltmeters, which are instruments that measure the angle of the slop... | college_earth_science | earth_science | |
math_1891 | math_mc | Carolyn and Paul are playing a game starting with a list of the integers $1$ to $n.$ The rules of the game are:
$\bullet$ Carolyn always has the first turn.
$\bullet$ Carolyn and Paul alternate turns.
$\bullet$ On each of her turns, Carolyn must remove one number from the list such that this number has at least o... | D | math_Prealgebra | mathematics | ||
aquarat_59757 | deepmind/aqua_rat | The arithmetic mean of set A is zero. If B = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of A consisting of all those elements in A which are more than two but less than three standard deviations away from the arithmetic mean of A, what could be equal to the standard deviation of A? | A. 0.54 B. 0.77 C. 0.82 D. 0.97 E. 1.62 | B. 0.77 | This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and B = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of A
B consists of all those elements in A that are more than 2 but less than 3 ADs away from the arithmetic mean of A
If an ele... | high_school_statistics | mathematics |
allenai/sciq_6736 | allenai/sciq | Initial substances are called reactants, and the final substances are called what?
A. reactors
B. exports
C. imports
D. products | D. products | H2 + O2 → H2O This is an example of a chemical equation, which is a concise way of representing a chemical reaction. The initial substances are called reactants, and the final substances are called products. Unfortunately, it is also an incomplete chemical equation. The law of conservation of matter says that matter ca... | high_school_chemistry | chemistry | |
aquarat_15727 | deepmind/aqua_rat | In certain code 'TWICE' is written as '34$5δ' and 'WEARS' is written as '4δ29%'. How is 'SEAT' written in that code? | A. 22 B. 23 C. 697 D. 66P E. 82 | B. 23 | Answer: Option B | coding | computer_science |
math_85 | math_mc | The graphs of four functions, labelled (2) through (5), are shown below. Note that the domain of function (3) is $$\{-5,-4,-3,-2,-1,0,1,2\}.$$ Find the product of the labels of the functions which are invertible. [asy]
size(8cm);
defaultpen(linewidth(.7pt)+fontsize(8pt));
import graph;
picture pic1,pic2,pic3,pic4;
dr... | D | math_Algebra | mathematics | ||
math_1679 | math_mc | Harold, Tanya, and Ulysses paint a very long picket fence.
Harold starts with the first picket and paints every $h$ th picket;
Tanya starts with the second picket and paints every $t$ th picket; and
Ulysses starts with the third picket and paints every $u$ th picket.
Call the positive integer $100h+10t+u$ paintable whe... | C | math_Number Theory | mathematics | ||
NLP4Education_218 | NLP4Education | Consider a binary classification task as in Figure~\AMCref{fig:lr_data}, which consists of 14 two-dimensional linearly separable samples (circles corresponds to label $y=1$ and pluses corresponds to label $y=0$). We would like to predict the label $y=1$ of a sample $(x_1, x_2)$ when the following holds true
\[
\prob(y=... | C. $x_1 = 0$ | machine_learning | computer_science | ||
mmlu_aux_train_47712 | mmlu_aux_train | Your House Will Take Care of You In Old Age Have you ever thought what your life would be like in old age? Everyone talks about the "aging" society with large numbers of elderly people needing home care. Now German researchers have set up a "smart"house, programmed to help the elderly live at home with dignity. Scienti... | A. that can remind people to do many things | high_school_computer_science | computer_science | ||
pythonio_653 | pythonio-mc | Program:
def max_run_uppercase(test_str):
cnt = 0
res = 0
for idx in range(0, len(test_str)):
if test_str[idx].isupper():
cnt += 1
else:
res = cnt
cnt = 0
if test_str[len(test_str) - 1].isupper():
res = cnt
return (res)
Input:
max_run_uppercase('PrECIOusMOVemENTSYT')
O... | D | code | computer_science | ||
mmlu_aux_train_1672 | mmlu_aux_train | A layer of solid brittle rock comprises the outer 100 kilometers of Earth. This layer, which contains both the crust and the upper mantle, is called the
A. core.
B. sediment.
C. lithosphere.
D. hemisphere. | C. lithosphere. | earth_sciences | earth_science | ||
NLP4Education_144 | NLP4Education | Which of the following are part of the RDF schema language?
A. The « type » statement for RDF resources
B. The « subject » statement for RDF statements
C. The « subclass » statement for RDF classes
D. The « domain » statement for RDF properties | D. The « domain » statement for RDF properties | computer_security | computer_science | ||
aquarat_42285 | deepmind/aqua_rat | Evaluate 30!/28! | A. 720 B. 600 C. 870 D. 910 E. 650 | C. 870 | we have 30!/28! = 30*29*28!/28! = 30*29 = 870
Answer is C | college_mathematics | mathematics |
math_1291 | math_mc | Let $(x, y)$ be a solution to the system of equations \[\begin{aligned} \lfloor x \rfloor + \{y\} &= 2.4, \\ \{x\} + \lfloor y \rfloor &= 5.1. \end{aligned} \]Compute $|x - y|.$ | B | math_Intermediate Algebra | mathematics | ||
math_1492 | math_mc | Let $a, b, c$ be complex numbers, with $a$ real, such that \[a+b+c=ab+bc+ca=abc=3.\]Find $a$. | B | math_Intermediate Algebra | mathematics | ||
pythonio_437 | pythonio-mc | Program:
def zip_list(list1,list2):
result = list(map(list.__add__, list1, list2))
return result
Input:
zip_list([['a','b'],['c','d']] , [['e','f'],['g','h']] )
Output: | A | code | computer_science | ||
NLP4Education_102 | NLP4Education | Suppose that q is density reachable from p. The chain of points that ensure this relationship are {t,u,g,r} Which one is FALSE?
A. The set {t,u,g,r} must all be core points.
B. p and q will also be density-connected.
C. p must be a core point.
D. q must be a border point. | D. q must be a border point. | computer_security | computer_science | ||
math_123 | math_mc | How many positive integers $n$ less than 100 have a corresponding integer $m$ divisible by 3 such that the roots of $x^2-nx+m=0$ are consecutive positive integers? | A | math_Algebra | mathematics |
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