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 |
|---|---|---|---|---|---|---|---|
aquarat_72903 | deepmind/aqua_rat | Firm A's revenues are described by the equation Ra = 15.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume incr... | A. 20% B. 30% C. 60% D. 50% E. 33% | D. 50% | Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 50%
D | college_mathematics | mathematics |
mmlu_aux_train_31419 | mmlu_aux_train | A food additive is any substance that is added to food. Many people are put off by the idea of "chemicals in food". The truth is that all food is made up of chemicals. Natural substances like milk, as well as man-made ones like drinks on sale in the market, can be described by chemical formulas . Some chemical subst... | A. all foods consist of chemical substances | high_school_chemistry | chemistry | ||
allenai/sciq_6234 | allenai/sciq | What results when a warm air mass runs into a cold air mass?
A. warm front
B. rough front
C. dry front
D. cool front | A. warm front | When a warm air mass runs into a cold air mass, it creates a warm front ( Figure below ). The warm air mass is moving faster than the cold air mass. The warm air mass then flows up over the cold air mass. As the warm air rises, it cools. This brings about clouds and sometimes light precipitation. Warm fronts move slowl... | astronomy | physics | |
allenai/sciq_3474 | allenai/sciq | Gap genes are defined by the effect of what in that gene?
A. infection
B. mutation
C. modification
D. radiation | B. mutation | One example of a gap gene is the Krüppel gene, which regulates the activity of a number of other genes. Krüppel literally means "cripple" in German, named for the crippled appearance of mutant larva. Gap genes are defined by the effect of a mutation in that gene, and Krüppel is one such effect. Other gap genes are know... | college_biology | biology | |
pythonio_646 | pythonio-mc | Program:
def count_Rotation(arr,n):
for i in range (1,n):
if (arr[i] < arr[i - 1]):
return i
return 0
Input:
count_Rotation([3,2,1],3)
Output: | C | code | computer_science | ||
pythonio_367 | pythonio-mc | Program:
def max_sum_of_three_consecutive(arr, n):
sum = [0 for k in range(n)]
if n >= 1:
sum[0] = arr[0]
if n >= 2:
sum[1] = arr[0] + arr[1]
if n > 2:
sum[2] = max(sum[1], max(arr[1] + arr[2], arr[0] + arr[2]))
for i in range(3, n):
sum[i] = max(max(sum[i-1], sum[i-2] + arr[i]), arr[i] +... | D | code | computer_science | ||
mmlu_aux_train_53138 | mmlu_aux_train | ScienceDaily (July 5, 2009) -- Researchers from the University of Haifa-Oranim have managed to make out the "self-irrigating" mechanism of the desert rhubarb , which enables it to harvest 16 times the amount of water collected by other plants in the Negev Desert. This is the first example of a self-irrigating plant wo... | C. helps it collect much more water than other plants | high_school_biology | biology | ||
math_87 | math_mc | Find the largest possible value of $x$ in the simplified form $x=\frac{a+b\sqrt{c}}{d}$ if $\frac{5x}{6}+1=\frac{3}{x}$, where $a,b,c,$ and $d$ are integers. What is $\frac{acd}{b}$? | A | math_Algebra | mathematics | ||
allenai/sciq_438 | allenai/sciq | What temperature scale is obtained by adding 273 degrees from the corresponding celsius temperature?
A. ph scale
B. seismic scale
C. kelvin scale
D. whittle scale | C. kelvin scale | The Celsius scale is the standard SI temperature scale. It is equal to the Kelvin scale if you minus 273 from the Celsius reading. Water has a boiling point of and a freezing point of . | high_school_physics | physics | |
allenai/sciq_10064 | allenai/sciq | What is the term for the gases that surround a planet?
A. galaxy
B. hemisphere
C. the atmosphere
D. biosphere | C. the atmosphere | An atmosphere is the gases that surround a planet. The early Earth had no atmosphere. Conditions were so hot that gases were not stable. | astronomy | physics | |
allenai/sciq_5022 | allenai/sciq | What are observable patterns of stars found in the night sky called?
A. latitudes
B. deformations
C. deviations
D. constellations | D. constellations | Humans have been studying the night sky for thousands of years. Knowing the motions of stars helped people keep track of seasons. With this information they could know when to plant crops. Stars were so important that the patterns they made in the sky were named. These patterns are called constellations . Even now, con... | astronomy | physics | |
allenai/sciq_6159 | allenai/sciq | What type of reaction causes two substances to combine to make a single substance?
A. spontaneous mutation
B. composition reaction
C. metabolism
D. component reaction | B. composition reaction | In this equation, two substances combine to make a single substance. This is a composition reaction. Two different substances react to make two new substances. This does not fit the definition of either a composition reaction or a decomposition reaction, so it is neither. In fact, you may recognize this as a double-rep... | high_school_chemistry | chemistry | |
allenai/sciq_10086 | allenai/sciq | When boron10 absorbs a neutron, what does it emit?
A. light
B. proteins
C. particle
D. calcium | C. particle | Boron neutron capture therapy is a potential treatment for many diseases. As the name implies, when boron10, one of the naturally occurring isotopes of boron, is bombarded with neutrons, it absorbs a neutron and emits an α particle. Write a balanced nuclear reaction for this reaction. One advantage of this process is t... | high_school_chemistry | chemistry | |
math_103 | math_mc | Marina solved the quadratic equation $9x^2-18x-720=0$ by completing the square. In the process, she came up with the equivalent equation $$(x+r)^2 = s,$$where $r$ and $s$ are constants.
What is $s$? | A | math_Algebra | mathematics | ||
math_705 | math_mc | Let $S$ be a square of side length $1$. Two points are chosen independently at random on the sides of $S$. The probability that the straight-line distance between the points is at least $\dfrac{1}{2}$ is $\dfrac{a-b\pi}{c}$, where $a$, $b$, and $c$ are positive integers with $\gcd(a,b,c)=1$. What is $a+b+c$?
$\textbf{(... | A | math_Geometry | mathematics | ||
aquarat_10305 | deepmind/aqua_rat | Which of the following are phases of 2-phase locking protocol? | A. Intent to request locks B. Release the present locks and never asking for transmission C. Both (1) and (2) D. None of these E. DS | C. Both (1) and (2) | Answer:C | computer_security | computer_science |
mmlu_aux_train_13808 | mmlu_aux_train | The robot moved into the fighting ring with confidence.Then it turned around quickly and knocked itself over. The team of Scouts that built the 8-inch -tall machine immediately realized one arm was too long.They would have to work fast---practice time was over , and the real robot matches were about to begin . "We t... | C. Their robot knocked itself over . | high_school_computer_science | computer_science | ||
aquarat_17672 | deepmind/aqua_rat | Solve the given two equations and find the inequality of X and Y. (a) 3X^2+8X+4 = 0 and (b) 4Y^2-19Y+12= 0 | A. If x>y B. If x>=y C. If x < y D. If x<=y E. x=y or relationship cannot be established | C. If x < y | Solution:-
Solving we get X= -2/3 or -2
Y= 3/4 or 4
C) | college_mathematics | mathematics |
mmlu_aux_train_18073 | mmlu_aux_train | Most American children eat potatoes every day, but they don't know which part of potato is most nourishing .Take a sharp knife and cut a very thin slice from it and hold it to the light, and you will see that the potato has skin, an outside rim and the inner part. The outside rim which is right under the skin is most... | C. three parts | high_school_biology | biology | ||
math_1898 | math_mc | In 2003, the average monthly rainfall in Mathborough was $41.5\text{ mm.}$ In 2004, the average monthly rainfall in Mathborough was $2\text{ mm}$ more than in 2003. What was the total amount of rain that fell in Mathborough in 2004? | B | math_Prealgebra | mathematics | ||
pythonio_785 | pythonio-mc | Program:
def min_difference(test_list):
temp = [abs(b - a) for a, b in test_list]
res = min(temp)
return (res)
Input:
min_difference([(5, 17), (3, 9), (12, 5), (3, 24)])
Output: | C | code | computer_science | ||
mmlu_aux_train_99698 | mmlu_aux_train | How long did it take the Grand Canyon to form? A
A. few amount of days
B. very lengthy amount of time
C. couple of billion dollars
D. very few amount of minutes | B. very lengthy amount of time | astronomy | physics | ||
mmlu_aux_train_64105 | mmlu_aux_train | Within a few short years, girls in Europe have become heavier smokers than boys, for reasons experts still fail to understand, according to a British study, presented last week to an international conference on smoking. Anti-smoking activists at the second "Tobacco or Health" conference in the Canary Islands pointe... | A. grown-ups | high_school_statistics | mathematics | ||
aquarat_92820 | deepmind/aqua_rat | Acording to a military code, SYSTEM is SYSMET and NEARER is AENRER. What is the code for FRACTION ? | A. CARFTINO B. CARFTION C. ARFCNOIT D. CARFNOIT E. SUIIQQWE | D. CARFNOIT | Explanation:
The letter is the first half and the letter half of the word are separately reversed to obtain the code.
Answer: D | formal_logic | mathematics |
pythonio_54 | pythonio-mc | Program:
def get_pairs_count(arr, n, sum):
count = 0
for i in range(0, n):
for j in range(i + 1, n):
if arr[i] + arr[j] == sum:
count += 1
return count
Input:
get_pairs_count([1, 1, 1, 1], 4, 2)
Output: | C | code | computer_science | ||
math_533 | math_mc | A point $P$ is randomly selected from the rectangular region with vertices $(0,0), (2,0)$, $(2,1),(0,1)$. What is the probability that $P$ is closer to the origin than it is to the point $(3,1)$? | B | math_Counting & Probability | mathematics | ||
aquarat_20552 | deepmind/aqua_rat | Each week the forensics teams at Roslyn High School and Manchester High School debate each other. Each team has several members, and each week three are selected to debate. Whenever Aviva debates for Roslyn, Roslyn wins; and whenever Zachary debates for Roslyn, Roslyn wins. Whenever Josh debates for Roslyn, Manchester ... | A. 287 B. 268 C. 26 D. 17 E. 191 | A. 287 | Explanation:
It is clear that if Josh debates for Rosln, Manchester wins. So Option A is correct.
Answer: A | formal_logic | mathematics |
allenai/sciq_10624 | allenai/sciq | The fujita scale measures the intensity of what weather event, based on wind speed and damage?
A. wind gust
B. blizzard
C. tornado
D. sandstorm | C. tornado | The Fujita scale measures tornado intensity based on wind speed and damage. | earth_science | earth_science |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.