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_738 | math_mc | In rectangle $ABCD$, angle $C$ is trisected by $\overline{CF}$ and $\overline{CE}$, where $E$ is on $\overline{AB}$, $F$ is on $\overline{AD}$, $BE=6$, and $AF=2$. Find the area of $ABCD$.
[asy]
import olympiad; import geometry; size(150); defaultpen(linewidth(0.8)); dotfactor=4;
real length = 2 * (6*sqrt(3) - 2), wid... | D | math_Geometry | mathematics | ||
mmlu_aux_train_93468 | mmlu_aux_train | Which is an example of light being reflected?
A. taking a picture
B. using a magnifying glass
C. looking into a mirror
D. using eyeglasses | C. looking into a mirror | conceptual_physics | physics | ||
mmlu_aux_train_20014 | mmlu_aux_train | My first full-time job after high school was selling vacation packages via the telephone for a well-known company. One day, I was put through to a man who sounded a bit out of breath. I started with my normal pitch , expecting to hear the normal reply --"I don't want any." Instead, he spoke in a faint, weak voice and ... | A. a travel agency | high_school_computer_science | computer_science | ||
pythonio_570 | pythonio-mc | Program:
def arc_length(d,a):
pi=22/7
if a >= 360:
return None
arclength = (pi*d) * (a/360)
return arclength
Input:
arc_length(5,270)
Output: | B | code | computer_science | ||
mmlu_aux_train_51682 | mmlu_aux_train | I am a sophomore at Princeton University, where I am majoring in chemical engineering. I chose to study at UCD in the spring of 2015 primarily because I have always been interested in Ireland and Irish culture, but also to take advantage of UCD's courses in pharmacology , a field not offered at my home school. I als... | B. There was a chance for him to change his major. | college_chemistry | chemistry | ||
math_15 | math_mc | Two parabolas are the graphs of the equations $y=3x^2+4x-5$ and $y=x^2+11$. Give all points where they intersect. List the points in order of increasing $x$-coordinate, separated by semicolons. | D | math_Algebra | mathematics | ||
mmlu_aux_train_31878 | mmlu_aux_train | Clothes can make phone calls, play music, dial your pal's number, keep you warm during cold weather and operate your computer? This is not a fantasy. A British company, called Electrotextiles, has created a wide range of clothes -- clothes that have minds of their own! Scientists, working for the company, have invented... | B. they use electricity as power | college_computer_science | computer_science | ||
pythonio_851 | pythonio-mc | Program:
def find_triplet_array(A, arr_size, sum):
for i in range( 0, arr_size-2):
for j in range(i + 1, arr_size-1):
for k in range(j + 1, arr_size):
if A[i] + A[j] + A[k] == sum:
return A[i],A[j],A[k]
return True
return False
Input:
find_triplet_array([1, 2, 3, 4, 5], 5, 9)
Output: | D | code | computer_science | ||
mmlu_aux_train_94423 | mmlu_aux_train | The exotic plant Melaleuca, or Australian Pine, has increased the intensity of fires across the Everglades. The amount of fuel available for fires has increased due to the presence of the Melaleuca. The Melaleuca releases massive numbers of seeds in response to fire, drought, and herbicide damage. Which best describes ... | A. adaptation | high_school_biology | biology | ||
mmlu_aux_train_97010 | mmlu_aux_train | Which likely would be considered in drought conditions?
A. a tundra without water
B. a desert without water
C. a house without water
D. a lake without water | D. a lake without water | high_school_biology | biology | ||
allenai/sciq_5576 | allenai/sciq | Power in electricity is the voltage multiplied by what?
A. amperes
B. power
C. the current
D. wattage | C. the current | ; Power in electricity is the voltage multiplied by the current. | electrical_engineering | engineering | |
aquarat_95773 | deepmind/aqua_rat | If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGF | A. 13 - 11 - 9 - 7 - 9 B. 13 - 11 - 9 - 7 - 6 C. 13 - 11 - 9 - 7 - 7 D. 13 - 11 - 9 - 7 - 3 E. 13 - 11 - 9 - 7 - 1 | B. 13 - 11 - 9 - 7 - 6 | MKIGF = 13 - 11 - 9 - 7 - 6
Note: this is a dummy question. Dont answer these questions
Answer:B | formal_logic | mathematics |
mmlu_aux_train_57648 | mmlu_aux_train | Sure,you've watched extreme pet sports on Animal Planet. But did you know that there's a whole world of athletic activities for dogs right in our area? There are some reasons for considering taking part in such activities. Such sports strengthen the close feelings between dog and owner,and also benefit your pup's body ... | D. dogs love to go out and play as much as human beings | high_school_biology | biology | ||
mmlu_aux_train_96142 | mmlu_aux_train | What should I do to remain healthy
A. Never move from my chair
B. Never talk to anyone
C. Eat burgers almost everyday
D. Make sure to get some shut lids | D. Make sure to get some shut lids | clinical_knowledge | biology | ||
NLP4Education_712 | NLP4Education | Select all of the regions that ASLR randomizes the address when PIE is not enabled in x86-64 Linux:
A. The executable
B. The heap
C. The gdb server stub
D. The data segment | B. The heap | computer_security | computer_science | ||
allenai/sciq_4849 | allenai/sciq | What is a galvanic process that can be prevented using cathodic protection?
A. vaporization
B. explosion
C. corrosion
D. sublimation | C. corrosion | Corrosion is a galvanic process that can be prevented using cathodic protection. CONCEPTUAL PROBLEMS 1. | high_school_chemistry | chemistry | |
pythonio_93 | pythonio-mc | Program:
def count_digits(num1,num2):
number=num1+num2
count = 0
while(number > 0):
number = number // 10
count = count + 1
return count
Input:
count_digits(1234567,500)
Output: | A | code | computer_science | ||
aquarat_42379 | deepmind/aqua_rat | If (1+z)y=y, which of the following must be true? | A. z=-1 or y=0 B. z=0 or y=-1 C. z=1 or y=1 D. z=-1 or y=-1 E. z=0 or y=0 | E. z=0 or y=0 | We have (1+z)y=y.
If x=0, y=y. True
If y=0, (1+z)*0=0 True
So, E will be the answer. | college_mathematics | mathematics |
allenai/sciq_949 | allenai/sciq | What is the single bone that forms the posterior skull and posterior base of the cranial cavity?
A. occipital bone
B. limbic bone
C. maxilla
D. radiating bone | A. occipital bone | Occipital Bone The occipital bone is the single bone that forms the posterior skull and posterior base of the cranial cavity (Figure 7.9; see also Figure 7.8). On its outside surface, at the posterior midline, is a small protrusion called the external occipital protuberance, which serves as an attachment site for a lig... | anatomy | biology | |
math_1005 | math_mc | A fenced, rectangular field measures $24$ meters by $52$ meters. An agricultural researcher has 1994 meters of fence that can be used for internal fencing to partition the field into congruent, square test plots. The entire field must be partitioned, and the sides of the squares must be parallel to the edges of the fie... | A | math_Geometry | mathematics | ||
aquarat_73448 | deepmind/aqua_rat | The mean of 80 observations was calculated as 55. It was found later on that one of the observations was misread as 64 instead of 46. The correct mean is | A. 39 B. 54.7 C. 60.3 D. 42.7 E. None of these | B. 54.7 | Explanation :
Correct sum = (55*80 + 46 - 64) = 4382.
Correct mean = 4382/80 = 54.7
Answer : B | high_school_statistics | mathematics |
pythonio_470 | pythonio-mc | Program:
def count_Fac(n):
m = n
count = 0
i = 2
while((i * i) <= m):
total = 0
while (n % i == 0):
n /= i
total += 1
temp = 0
j = 1
while((temp + j) <= total):
temp += j
count += 1
... | D | code | computer_science | ||
math_796 | math_mc | Fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. His leash is exactly long enough to reach the midpoint of each side of his yard. If the fraction of the area of Fido's yard that he is able to reach while on his leash is expressed in simplest radical form as $\frac{\... | B | math_Geometry | mathematics | ||
aquarat_7642 | deepmind/aqua_rat | What is the area inscribed by the lines y =2, x = 2, y = 10-x on an xy-coordinate plane? | A. a) 8 B. b) 10 C. c) 12 D. d) 14 E. e) 18 | E. e) 18 | First, let's graph the lines y = 2 and x = 2
At this point, we need to find the points where the line y = 10-x INTERSECTS the other two lines.
For the vertical line, we know that x = 2, so we'll PLUG x = 2 into the equation y = 10-x to get y = 10-2 = 8
Perfect, when x = 2, y = 8, so one point of intersection is (2,8)
F... | college_mathematics | mathematics |
pythonio_864 | pythonio-mc | Program:
def max_product(arr):
arr_len = len(arr)
if (arr_len < 2):
return None
x = arr[0]; y = arr[1]
for i in range(0, arr_len):
for j in range(i + 1, arr_len):
if (arr[i] * arr[j] > x * y):
x = arr[i]; y = arr[j]
return x,y
I... | B | code | computer_science | ||
aquarat_11190 | deepmind/aqua_rat | If n is an integer and n^4 is divisible by 32, which of the following could be the remainder when n is divided by 32? | A. 2 B. 4 C. 5 D. 6 E. 10 | B. 4 | Given:
n^4/32 = int
n^4/2^5 = int
1/2(n/2)^4 = int
try n= int = 2,4,6,8... because n/2 must be an integer
n=2 wont work because 1/2(n/2)^4 needs to be an integer.
n=4, result = 1/2 (2)^4 = 8, so the remainder of n/32 = remainder of 8/32 = 8 (not an option)
n=8, result = 1/2(8/2)^4 = 1/2(4)^4 = 1/2x16x16= 16x8, so the r... | college_mathematics | mathematics |
mmlu_aux_train_67672 | mmlu_aux_train | A 15-year-old student who invented a flashlight getting power from the holder's body heat is going home today from California with a big prize and a chance to do further research. Ann Makosinski was the only Canadian among the four winners at Google's international science competition. Thousands of young scientists fro... | C. Technology. | high_school_computer_science | computer_science | ||
NLP4Education_434 | NLP4Education | Tick the \emph{false} assertion. Two-keys triple DES\dots
A. is more secure than double encryption.
B. is less secure than AES.
C. is as secure as a block cipher using a key twice longer.
D. is vulnerable to a certain variant of a meet-in-the-middle attacks. | C. is as secure as a block cipher using a key twice longer. | computer_security | computer_science | ||
aquarat_15274 | deepmind/aqua_rat | Two bullet train s are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower bullet train to cross the faster bullet train in seconds is: | A. 58 sec. B. 78 sec. C. 68 sec. D. 48 sec. E. 88 sec. | D. 48 sec. | D
48 sec.
Relative speed = (60+ 90) km/hr
= 150x5/18
= 120/3 m/sec
Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
Required time = 2000 x 3/125 = 48 sec. | high_school_physics | physics |
math_1799 | math_mc | Tom's graduating class has 288 students. At the graduation ceremony, the students will sit in rows with the same number of students in each row. If there must be at least 10 rows and at least 15 students in each row, then there can be $x$ students in each row. What is the sum of all possible values of $x$? | B | math_Number Theory | mathematics | ||
allenai/sciq_5355 | allenai/sciq | What kind of interference is observed when the paths differ by a whole wavelength, and the waves arrive in phase?
A. necessary interference
B. spontaneous interference
C. constructive interference
D. non-interference | C. constructive interference | To understand the double slit interference pattern, we consider how two waves travel from the slits to the screen, as illustrated in Figure 27.13. Each slit is a different distance from a given point on the screen. Thus different numbers of wavelengths fit into each path. Waves start out from the slits in phase (crest ... | college_physics | physics | |
mmlu_aux_train_78209 | mmlu_aux_train | Mr Green works in an office . Every morning he has breakfast with his wife at 7:30, watches TV, drinks tea and then leaves his home at 8:00 to take a bus to his office. Now he still sits comfortably at the breakfast table and watches his news on TV at 8:05. He doesn't hurry and asks his wife for another cup of tea. "A... | C. office | formal_logic | mathematics | ||
allenai/sciq_1728 | allenai/sciq | What is it called when breaks in bone occur that is usually caused by excessive stress on the bone?
A. fragments
B. faults
C. ruptures
D. fractures | D. fractures | Fractures are breaks in bone, usually caused by excessive stress on bone. Fractures heal when osteoblasts form new bone. The animation at this link shows how this happens: http://www. youtube. com/watch?v=qVougiCEgH8 . Soon after a fracture, the body begins to repair the break. The area becomes swollen and sore. Within... | high_school_biology | biology | |
pythonio_457 | pythonio-mc | Program:
def harmonic_sum(n):
if n < 2:
return 1
else:
return 1 / n + (harmonic_sum(n - 1))
Input:
harmonic_sum(7)
Output: | C | code | computer_science | ||
allenai/sciq_3911 | allenai/sciq | What do chemical reactions need to be activated?
A. energy
B. products
C. space
D. food | A. energy | Chemical reactions also need energy to be activated. They require a certain amount of energy just to get started. This energy is called activation energy . For example, activation energy is needed to start a car engine. Turning the key causes a spark that activates the burning of gasoline in the engine. The combustion ... | high_school_chemistry | chemistry | |
math_373 | math_mc | Suppose that $f(x)$ and $g(x)$ are polynomials of degree $4$ and $5$ respectively. What is the degree of $f(x^3) \cdot g(x^2)$? | B | math_Algebra | mathematics | ||
math_2027 | math_mc | There are 6 married couples at a party. At the start of the party, every person shakes hands once with every other person except his or her spouse. How many handshakes are there? | A | math_Prealgebra | mathematics | ||
mmlu_aux_train_87492 | mmlu_aux_train | Pearl and June were good friends and spent most of their time together. They were both very old and they worried about their health. Most of the time they talked about nothing else. They worried about their food. Was it clean? Would it give them pains in the stomach? They worried about the weather. Was it too cold and ... | A. themselves | high_school_computer_science | computer_science | ||
allenai/sciq_259 | allenai/sciq | Three-prong plugs, circuit breakers, and gfci outlets are safety features that recognize the danger of what?
A. heat
B. electricity
C. gravity
D. magnetism | B. electricity | Because electricity can be so dangerous, safety features are built into modern electric circuits and devices. They include three-prong plugs, circuit breakers, and GFCI outlets. You can read about these three safety features in the Figure below . You can learn more about electric safety features in the home by watching... | electrical_engineering | engineering | |
mmlu_aux_train_79759 | mmlu_aux_train | Do you like eating chocolate? Companies spend millions of dollars on tools and machines to make chocolate. With a little ingredients, however, you can turn your kitchen into a chocolate factory. Today we will teach the Cocoa Powder Method , it is easier for beginners. Try it and make your own homemade chocolate. Here ... | D. egg | high_school_chemistry | chemistry | ||
allenai/sciq_8009 | allenai/sciq | The job of the nucleolus is to build what?
A. chromosomes
B. cells
C. electrons
D. ribosomes | D. ribosomes | The nucleus of many cells also contains a central region called the nucleolus . The job of the nucleolus is to build ribosomes. These ribosomes flow out the nuclear pores into the cytoplasm. Ribosomes are organelles that make proteins in the cytoplasm. See the composition of the nucleus pictured below ( Figure below ). | college_biology | biology | |
allenai/sciq_1183 | allenai/sciq | What always continues in a red supergiant?
A. movement
B. heat
C. fission
D. fusion | D. fusion | In a red supergiant, fusion does not stop. Lighter atoms fuse into heavier atoms. Eventually iron atoms form. When there is nothing left to fuse, the star’s iron core explodes violently. This is called a supernova explosion. The incredible energy released fuses heavy atoms together. Gold, silver, uranium and the other ... | astronomy | physics | |
allenai/sciq_5911 | allenai/sciq | These resources can be remade quickly, through natural processes
A. electric
B. fossil fuel
C. non-renewable
D. renewable | D. renewable | From a human point of view, natural resources can be classified as either renewable or nonrenewable. Renewable resources, such as sunlight and living things, can be remade quickly by natural processes. Nonrenewable resources, such as fossil fuels and soil, cannot be remade or else take millions of years to remake. | college_earth_science | earth_science | |
allenai/sciq_6365 | allenai/sciq | A plant is composed of two main types of tissue: meristematic tissue and what other kind of tissue?
A. nonvascular tissue
B. muscle tissue
C. permanent tissue
D. synovial tissue | C. permanent tissue | CHAPTER SUMMARY 30.1 The Plant Body A vascular plant consists of two organ systems: the shoot system and the root system. The shoot system includes the aboveground vegetative portions (stems and leaves) and reproductive parts (flowers and fruits). The root system supports the plant and is usually underground. A plant i... | high_school_biology | biology | |
math_1680 | math_mc | Mary chose an even $4$-digit number $n$. She wrote down all the divisors of $n$ in increasing order from left to right: $1,2,...,\dfrac{n}{2},n$. At some moment Mary wrote $323$ as a divisor of $n$. What is the smallest possible value of the next divisor written to the right of $323$?
$\textbf{(A) } 324 \qquad \textbf{... | C | math_Number Theory | mathematics | ||
mmlu_aux_train_50116 | mmlu_aux_train | The 16-year-old girl Jessica Watson is said to be the youngest person to sail non-stop alone around the world. But her record has been questioned because someone thought that she has not sailed far enough. She will also not be recognized by the World Speed Sailing Record Council, as it was too dangerous for someone und... | D. The Arctic Ocean. | astronomy | physics | ||
math_1464 | math_mc | Find the minimum value of
\[f(x) = x + \frac{x}{x^2 + 1} + \frac{x(x + 4)}{x^2 + 2} + \frac{2(x + 2)}{x(x^2 + 2)}\]for $x > 0.$ | D | math_Intermediate Algebra | mathematics | ||
mmlu_aux_train_1778 | mmlu_aux_train | Some animals are very rare. For example, there are very few Siberian tigers. If the only Siberian tigers left are female, what will most likely happen?
A. The females will find another type of male animal to mate with and produce more Siberian tigers.
B. The females will mate with each other and produce more Siberian ... | D. The females will not be able to produce more Siberian tigers, and they will die out. | high_school_biology | biology | ||
NLP4Education_541 | NLP4Education | Let $X$ and $K$ be two independent random variables in a group $G$ with $n$ elements and where $K$ is uniformly distributed over $G$. Let $Y = X+K$. Then, for any $y\in G$, $\Pr[Y=y]=$\dots
A. $1/n$
B. $\Pr[X=y]$
C. $1/n^2$
D. $1/(n-1)$ | A. $1/n$ | abstract_algebra | mathematics | ||
allenai/sciq_11628 | allenai/sciq | Large viruses began as what type of cells inside bigger host cells?
A. parasitic
B. static
C. symbiotic
D. simple | A. parasitic | Large viruses were once parasitic cells inside bigger host cells. Over time, genes needed to survive and reproduce outside host cells were lost. | college_biology | biology | |
NLP4Education_489 | NLP4Education | The Shannon theorem states that perfect secrecy implies...
A. \( H(K) = H(X) \)
B. \( H(Y) \geq H(X) \)
C. \( H(K) \geq H(X) \)
D. \( H(Y) \leq H(X) \) | C. \( H(K) \geq H(X) \) | computer_security | computer_science | ||
allenai/sciq_9177 | allenai/sciq | What is the term for a galaxy that is a rotating disk of stars and dust?
A. nebula
B. Milky Way
C. spiral galaxy
D. cosmic galaxy | C. spiral galaxy | A spiral galaxy is a rotating disk of stars and dust. In the center is a dense bulge of material. Several spiral arms come out from the center. Spiral galaxies have lots of gas and dust and many young stars. The image below ( Figure below ) shows a spiral galaxy from the side. You can see the disk and central bulge. | astronomy | physics | |
allenai/sciq_10870 | allenai/sciq | When carbon atoms are not bonded to as many hydrogen atoms as possible, what kind of hydrocarbon results?
A. unstable
B. saturated
C. aqueous
D. unsaturated | D. unsaturated | Unsaturated hydrocarbons have at least one double or triple bond between carbon atoms, so the carbon atoms are not bonded to as many hydrogen atoms as possible. In other words, they are unsaturated with hydrogen atoms. | high_school_chemistry | chemistry | |
mmlu_aux_train_59950 | mmlu_aux_train | Spring peepers are found in wooded areas and grassy lowlands near pools in the central and eastern parts of Canada and the United States. These loud animals are rarely seen, but as temperatures begin to rise in March and April, the males certainly are heard. Their peep...peep... peep creates an other-worldly whistling ... | B. let people know more about spring peepers | high_school_biology | biology | ||
pythonio_105 | pythonio-mc | Program:
def longest_increasing_subsequence(arr):
n = len(arr)
longest_increasing_subsequence = [1]*n
for i in range (1 , n):
for j in range(0 , i):
if arr[i] > arr[j] and longest_increasing_subsequence[i]< longest_increasing_subsequence[j] + 1 :
longest_increasing_subsequence[i] = longest_incre... | D | code | computer_science | ||
mmlu_aux_train_97436 | mmlu_aux_train | Desalinating water from the ocean does what to nearby fish?
A. manipulates habitat
B. makes habitat nicer
C. helps them out
D. gives them money | A. manipulates habitat | high_school_biology | biology | ||
mmlu_aux_train_90287 | mmlu_aux_train | Most people are writing blogs . Others are reading them. The word " blog" is a short way of saying Web log almost like QQ Zone . Many popular Web sites now offer free, easy ways to create personal Web pages and fill them with writings and pictures. Blogs offer people a place to show their writings and feelings over t... | C. Web sites | high_school_computer_science | computer_science | ||
mmlu_aux_train_95530 | mmlu_aux_train | what causes deposition
A. electricity conduction
B. earth displacement
C. atomic explosions
D. condensation | B. earth displacement | earth_science | earth_science | ||
mmlu_aux_train_93918 | mmlu_aux_train | Which action causes a chemical change?
A. leaves dropping from a tree
B. leaves blowing in the wind
C. leaves being burned in a fire
D. leaves being crushed into pieces | C. leaves being burned in a fire | high_school_chemistry | chemistry | ||
mmlu_aux_train_26304 | mmlu_aux_train | A Robot Fish has been developed by National University of Singapore's researchers from the Department of Electrical & Computer Engineering.This robot fish has movements which have been inspired by the movements of the carp . There are various purposes that it can be used for.It can help in underwater archaeology ( ).F... | B. It cannot dive into water. | electrical_engineering | engineering | ||
NLP4Education_133 | NLP4Education | Which of the following is correct regarding crowdsourcing?
A. Uniform spammers always provide the correct answers.
B. Majority Decision and Expectation Maximization both always give higher weight to sloppy workers' answers.
C. Honey pots can detect uniform spammers, random spammers and sloppy workers.
D. The accuracy o... | C. Honey pots can detect uniform spammers, random spammers and sloppy workers. | computer_security | computer_science | ||
NLP4Education_668 | NLP4Education | Let $n=pq$ be a RSA modulus and let $(e,d)$ be a RSA public/private key. Tick the \emph{correct} assertion.
A. Finding a multiple of $\lambda(n)$ is equivalent to decrypt a ciphertext.
B. $ed$ is a multiple of $\phi(n)$.
C. The two roots of the equation $X^2 - (n-\phi(n)+1)X + n$ in $\mathbb{Z}$ are $p$ and $q$.
D. $e$... | C. The two roots of the equation $X^2 - (n-\phi(n)+1)X + n$ in $\mathbb{Z}$ are $p$ and $q$. | abstract_algebra | mathematics | ||
allenai/sciq_9662 | allenai/sciq | Each daughter cell represents one outcome of all possible combinations of maternal and paternal what?
A. chromosomes
B. alleles
C. genes
D. traits | A. chromosomes | high_school_biology | biology | ||
mmlu_aux_train_2247 | mmlu_aux_train | Which of these is only found outside the solar system?
A. planets
B. moons
C. nebulae
D. comets | C. nebulae | astronomy | physics | ||
allenai/sciq_1644 | allenai/sciq | How does the diaphragm look like when it is at rest?
A. dome-shaped
B. dam - shaped
C. flat
D. inverted | A. dome-shaped | The Diaphragm The change in volume of the thoracic cavity during breathing is due to the alternate contraction and relaxation of the diaphragm (Figure 11.17). It separates the thoracic and abdominal cavities, and is dome-shaped at rest. The superior surface of the diaphragm is convex, creating the elevated floor of the... | anatomy | biology | |
allenai/sciq_10276 | allenai/sciq | What makes the earth habitable for humans?
A. carbonate of water
B. availability of water
C. abundance of water
D. aridity of water | C. abundance of water | astronomy | physics | ||
mmlu_aux_train_98698 | mmlu_aux_train | Rabbits with white fur are hardest to detect in
A. a forest in Spring
B. The middle of a well-lit street
C. Mexico in the Winter
D. the arctic in Winter | D. the arctic in Winter | high_school_biology | biology | ||
allenai/sciq_10565 | allenai/sciq | The creation of a voltage across a current-carrying conductor by a magnetic field is known as what?
A. show effect
B. newton effect
C. hall effect
D. off effect | C. hall effect | 22.6 The Hall Effect We have seen effects of a magnetic field on free-moving charges. The magnetic field also affects charges moving in a conductor. One result is the Hall effect, which has important implications and applications. Figure 22.27 shows what happens to charges moving through a conductor in a magnetic field... | electrical_engineering | engineering | |
math_270 | math_mc | Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$. | B | math_Algebra | mathematics | ||
allenai/sciq_4645 | allenai/sciq | What type of plug is generally used on metal appliances?
A. .2 prong
B. 5 prong
C. 3 prong
D. 4 prong | C. 3 prong | A three-prong plug is generally used on metal appliances. The two flat prongs carry current to and from the appliance. The round prong is for safety. It connects with a wire inside the outlet that goes down into the ground. If any stray current leaks from the circuit or if there is a short circuit, the ground wire carr... | electrical_engineering | engineering | |
pythonio_554 | pythonio-mc | Program:
def min_k(test_list, K):
res = sorted(test_list, key = lambda x: x[1])[:K]
return (res)
Input:
min_k([('Sanjeev', 11), ('Angat', 5), ('Akash', 3), ('Nepin', 9)], 3)
Output: | C | code | computer_science | ||
mmlu_aux_train_79205 | mmlu_aux_train | "Who has more questions, a teacher or a student?"About this question a great learned man told his students that nobody does but a teacher. The students got puzzled. With a smile, the teacher drew the circles."Within the larger one is my knowledge of things and within the smaller one is yours. Out of the circles is stil... | A. a teacher has more questions | formal_logic | mathematics | ||
mmlu_aux_train_97700 | mmlu_aux_train | A child will share a physical trait such as this with parents due to DNA:
A. hair length
B. vacation days
C. nose shape
D. pet preference | C. nose shape | high_school_biology | biology | ||
aquarat_83285 | deepmind/aqua_rat | f1(x)f1(x) = 2x - 1 and fn(x)=f1(fn−1(x))fn(x)=f1(fn−1(x)) for n ≥≥ 2. Find f5(2) | A. 7 B. 6 C. 78 D. 9 E. 1 | A. 7 | Answer:A | college_mathematics | mathematics |
pythonio_5 | pythonio-mc | Program:
def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return (res)
Input:
similar_elements((11, 12, 14, 13),(17, 15, 14, 13))
Output: | A | code | computer_science | ||
aquarat_47207 | deepmind/aqua_rat | A certain set of test scores has an average (arithmetic mean) of 70 and a standard deviation of 25. If m and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the average of m and n? | A. 10 B. 14 C. 17 D. 19 E. 21 | E. 21 | Given, mean = 70, SD = 25
Mean + 2(Standard Deviation) = 120
Mean - 2(Standard Deviation) = 20
m,n are both in this range i.e (20 to 120)
The least value that m,n take is 21 since m,n > 20
m=n=21
Average of 2 numbers is 21
Answer: E | high_school_statistics | mathematics |
aquarat_66791 | deepmind/aqua_rat | Given that N=a^3*b^4*c^5 where a, b and c are distinct prime numbers, what is the smallest number with which N should be multiplied such that it becomes a perfect square, a perfect cube as well as a perfect fifth power? | A. a^3*b^4*c^5 B. a^5*b^4*c^3 C. a^2*b^3*c^5 D. a^7*b^6*c^5 E. a^27*b^26*c^25 | E. a^27*b^26*c^25 | The powers of a, b and c have to be divisible by 2, 3 and 5 for N to be a perfect square, perfect cube and perfect 5th power.
LCM of 2, 3 and 5 is 30
The smallest integer N = (a^30)(b^30)(c^30)
Answer: E | college_mathematics | mathematics |
math_14 | math_mc | An infinite geometric series has first term $328$ and a sum of $2009$. What is its common ratio? | D | math_Algebra | mathematics | ||
aquarat_137 | deepmind/aqua_rat | Product M is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mixing two raw materials, A and B, in the ratio of 1 : 3. Chemical Y is prepared by mixing raw materials, B and C, in the ratio of 2 : 1. Then the final mixture is prepared by mixing 864 units of product M with wa... | A. 328 units B. 368 units C. 392 units D. 616 units E. None of the above | B. 368 units | The final product is obtained by mixing 864 units of product M with water.
In 864 units of Product M, amount of B = 864×77/108 = 616
In the final mixture, concentration of B is 50%.
Therefore, the total quantity of final mixture = 616 × 2 = 1232
Water added = 1232 – 864 = 368
The correct answer is Choice B. | high_school_chemistry | chemistry |
aquarat_16575 | deepmind/aqua_rat | What is the measure of the angle E made by the diagonals of the any adjacent sides of a cube. | A. 30 B. 45 C. 60 D. 75 E. 90 | C. 60 | C.. 60 degrees
All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be 60..C | college_mathematics | mathematics |
NLP4Education_392 | NLP4Education | Consider a public-key cryptosystem. Let $K_p$, $K_s$, $X$, and $Y$ be respectively the public key, private key, plaintext and ciphertext. Which assertion is \emph{always true}?
A. $Enc_{K_p}(Dec_{K_s}(X))=X$
B. $Enc_{K_s}(Dec_{K_p}(Y))=Y$
C. $Dec_{K_p}(Enc_{K_s}(Y))=Y$
D. $Dec_{K_s}(Enc_{K_p}(X))=X$ | D. $Dec_{K_s}(Enc_{K_p}(X))=X$ | computer_security | computer_science | ||
math_1670 | math_mc | A $150\times 324\times 375$ rectangular solid is made by gluing together $1\times 1\times 1$ cubes. An internal diagonal of this solid passes through the interiors of how many of the $1\times 1\times 1$ cubes?
| A | math_Number Theory | mathematics | ||
mmlu_aux_train_60038 | mmlu_aux_train | Everyday we talk about and use the Internet, but how many of us know the history of the Internet? Many people are surprised when they find that the Internet was set up in the 1960s. At that time, computers were large and expensive. Computer network didn't work well. If one computer in the network broke down, then the w... | C. fifty | high_school_computer_science | computer_science | ||
allenai/sciq_4324 | allenai/sciq | Which procedure helps modern nuclear physics convert lead into gold?
A. evaporation
B. nuclear bombardment
C. nuclear fission
D. matter fusion | B. nuclear bombardment | The alchemists were never successful in changing lead into gold. But modern nuclear physics can accomplish this task. Lead is subjected to nuclear bombardment in a particle accelerator. A small amount of gold can be obtained by this process. However, the cost of the procedure is far more than the amount of gold obtaine... | college_physics | physics | |
pythonio_228 | pythonio-mc | Program:
def first_repeated_char(str1):
for index,c in enumerate(str1):
if str1[:index+1].count(c) > 1:
return c
return "None"
Input:
first_repeated_char("123123")
Output: | D | code | computer_science | ||
math_1130 | math_mc | Let $b_1$, $b_2$, $b_3$, $c_1$, $c_2$, and $c_3$ be real numbers such that for every real number $x$, we have
\[
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1 = (x^2 + b_1 x + c_1)(x^2 + b_2 x + c_2)(x^2 + b_3 x + c_3).
\]Compute $b_1 c_1 + b_2 c_2 + b_3 c_3$. | C | math_Intermediate Algebra | mathematics | ||
aquarat_1620 | deepmind/aqua_rat | For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven terms of sequence... | A. 28 and 29 B. 29 and 30 C. 30 and 31 D. 31 and 32 E. 32 and 33 | C. 30 and 31 | First, construct the first seven terms, though only out to a few decimal places, following the given pattern.
F_1 = 1.23…
F_2 = 2.46…
F_3 = 3.69…
F_4 = 4.812…
F_5 = 5.10…
F_6 = 6.12…
F_7 = 7.14…
Now, to add up the first seven terms, you should be strategic about how many decimal places to keep. You can drop the hundred... | college_mathematics | mathematics |
mmlu_aux_train_20099 | mmlu_aux_train | About five years ago, an American electrical engineer named Scott Brusaw and his wife Julie came up with the idea of putting solar panels on the ground rather than the roof. Then they began to develop the Solar Roadway. The Solar Roadway is an intelligent road that provides clean renewable energy using power from the... | B. costs no more money than current roads | electrical_engineering | engineering | ||
mmlu_aux_train_93042 | mmlu_aux_train | The metal lid on a glass jar is hard to open, so it is held under warm, running water. What causes the jar to open easily after it was held under the water?
A. The water increased the pressure under the lid.
B. The jar shrunk with the warm water.
C. The water acted as a lubricant between the glass and the metal.
D. Th... | D. The metal lid expanded under warm water. | high_school_physics | physics | ||
NLP4Education_25 | NLP4Education | Which of the following lock acquisition orders (locks are acquired from left to right), for thread 1 (T1) and thread 2 (T2), will result in a deadlock? Assume that A, B, C, D are lock instances.
A. T1: A,B,C,D T2: A,B,C,D
B. T1: A,D,C,B T2: A,D,C,B
C. T1: A,B,C,D T2: D,C,B,A
D. T1: A,B,C,D T2: A,B,E... | C. T1: A,B,C,D T2: D,C,B,A | computer_security | computer_science | ||
allenai/sciq_3422 | allenai/sciq | Where do most amphibians live, salt water or fresh water?
A. deserts
B. aquariums
C. fresh water
D. saltwater | C. fresh water | Most amphibians live in fresh water, not salt water. Their habitats can include areas close to springs, streams, rivers, lakes, swamps and ponds. They can be found in moist areas in forests, meadows and marshes. Amphibians can be found almost anywhere there is a source of fresh water. Although there are no true saltwat... | high_school_biology | biology | |
aquarat_39553 | deepmind/aqua_rat | If c + xy = c and x is not equal to 0, which of the following must be true? | A. x=0 B. x+y=0 C. y=0 D. x<0 E. x=c | C. y=0 | c + xy = c --> xy=0. Since x is not equal to 0, thus y = 0.
Answer: C. | abstract_algebra | mathematics |
math_775 | math_mc | Two circles are drawn in a 12-inch by 14-inch rectangle. Each circle has a diameter of 6 inches. If the circles do not extend beyond the rectangular region, what is the greatest possible distance (in inches) between the centers of the two circles? | A | math_Geometry | mathematics | ||
math_2127 | math_mc | In triangle $ABC,$ $D,$ $E,$ and $F$ are points on sides $\overline{BC},$ $\overline{AC},$ and $\overline{AB},$ respectively, so that $BD:DC = CE:EA = AF:FB = 1:2.$
[asy]
unitsize(0.8 cm);
pair A, B, C, D, E, F, P, Q, R;
A = (2,5);
B = (0,0);
C = (7,0);
D = interp(B,C,1/3);
E = interp(C,A,1/3);
F = interp(A,B,1/3);
... | B | math_Precalculus | mathematics | ||
pythonio_749 | pythonio-mc | Program:
def listify_list(list1):
result = list(map(list,list1))
return result
Input:
listify_list(['python'])
Output: | B | code | computer_science | ||
allenai/sciq_5574 | allenai/sciq | The addition of heat changes liquid water to what?
A. water vapor
B. rainwater
C. distilled water
D. ice | A. water vapor | high_school_physics | physics | ||
mmlu_aux_train_2536 | mmlu_aux_train | Which layers of Earth are mostly made of solid material?
A. inner core and outer core
B. crust and inner core
C. crust and mantle
D. mantle and outer core | B. crust and inner core | earth_science | earth_science | ||
NLP4Education_51 | NLP4Education | What could Out of Vocabulary (OoV) forms consist of? Select all that apply. A penalty will be applied for wrong answers.
A. Words from the lexicon
B. Words borrowed from other languages
C. Words used frequently in common speech
D. Verb conjugations found in standard dictionaries | B. Words borrowed from other languages | high_school_computer_science | computer_science | ||
allenai/sciq_9426 | allenai/sciq | Ether molecules have an oxygen atom and can engage in hydrogen bonding with which other molecules?
A. lipids
B. proteins
C. carbon dioxides
D. water | D. water | Ether molecules have an oxygen atom and can engage in hydrogen bonding with water molecules. An ether molecule has about the same solubility in water as the alcohol that is isomeric with it. | college_chemistry | chemistry | |
math_692 | math_mc | A collection of 8 cubes consists of one cube with edge-length $k$ for each integer $k, 1 \le k \le 8.$ A tower is to be built using all 8 cubes according to the rules:
Any cube may be the bottom cube in the tower.
The cube immediately on top of a cube with edge-length $k$ must have edge-length at most $k+2.$
Let $T$ be... | D | math_Counting & Probability | mathematics |
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