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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 increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is | 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 substances are indeed harmful, but a person who refused to consume any chemicals would find nothing to eat. The things we eat can be divided into natural and man-made substances. Some people feel that only natural foods are healthy and that all man-made ingredients are to be avoided. But many natural chemicals, found in plants and animals, are harmful when eaten, and some laboratory----made substances increase the nutritional value of food.Other chemicals have natural and man-made forms that are exactly alike: vitamin C is vitamin C, whether it comes from a test tube or from an orange.Like "chemical", "man-made" doesn't necessarily mean "not fit to eat". Food additives are used for many reasons. We add sugar and salt and other things to foods we prepare at home to make them taste better. Food producers have developed a range of additives that stabilize, thicken, harden, keep dry, keep wet, keep firm, or improve the appearance of their products. Additives can make food more convenient or nutritious, give it a longer shelf life, and make it more attractive to the consumer, thus increasing the sales and profits of the producers. Food additives are presently the centre of a storm of serious argument. Food producers have been known to use additives that have not been proved safe; some substances in common use have been proved unsafe and have been taken off the market. Many people feel there's a risk of eating food to which anything has been added. But food additives are now regulated by the FDA of the federal government, and new additives are subjected to strict testing before they can be placed on the market. For most people, the chances of developing serious side effects from the long-term use of presently approved food additives are very slim. From the passage we can learn that _ .
A. all foods consist of chemical substances
B. it is right to reject chemicals in food
C. food additives are harmful to our health
D. natural foods are much safer than man-made ones | 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 slowly and cover a wide area. After a warm front passes, the warm air mass behind it brings warmer temperatures. The warm air is also likely to be more humid. | 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 known as tailless and knirps (a "squirt or whippersnapper"). Gap genes encode transcription factors which directly effect the expression of additional genes involved in embryo segmentation, called the pair-rule genes . Pair-rule genes are expressed in alternating segments within the developing embryo. Pair-rule genes have very creative names, such as even-skipped, hairy, odd-skipped, odd-paired, sloppy paired and fushi tarazu , which is Japanese for “few segments. ” See My favorite silly gene names at http://www. itsokaytobesmart. com/post/82318778810/funny-gene-names for a list of other interesting gene names. | 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] + arr[i-1] + sum[i-3])
return sum[n-1]
Input:
max_sum_of_three_consecutive([3000, 2000, 1000, 3, 10], 5)
Output: | 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 worldwide. The desert rhubarb grows in the mountains of Israel's Negev desert, where average rainfall is particularly low (75 mm per year). Unlike most of the other desert plant species, which have small leaves so as to reduce water loss, this plant is unique in that its leaves are particularly large; each plant's rosette of one to four leaves reaches a total diameter of up to one meter. Prof. Simcha Lev-Yadun, Prof. Gidi Ne'eman and Prof. Gadi Katzir came across this unique plant while studying the field area with students of the Department of Science Education-Biology of the University of Haifa-Oranim, and noticed that its waxy leaves are unusually large. They observed an exceptionally ridged structure on each leaf. The scientists explained that these deep and wide depressions in the leaves create a "channeling" mountain-like system by which the rain water is channeled toward the ground surrounding the plant's deep root. Other desert plants simply absorb the rain water that goes through the ground in its immediate surroundings. The desert rhubarb is able to harvest quantities of water that are 16 times the amount of water harvested by the small-leafed plants of the Negev desert region. When the research team watered the plant artificially, they observed how the water flows along the course of the leave's depressions to the ground surrounding the plant's single root and then goes through the ground to a depth of 10 cm or more. Under the experimental conditions, water goes through the ground only as deep as 1 cm. "We know of no other plant in the deserts of the world that functions in this manner," the researchers concluded. The desert rhubarb's "self-irrigating" mechanism _ .
A. enables it to survive with fewer leaves
B. works in many other desert plants in the world
C. helps it collect much more water than other plants
D. prevents the plant from losing water and heat | 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, constellations help astronomers know where they are looking in the night sky. | 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-replacement reaction. A single substance reacts to make multiple substances. This is a decomposition reaction. | 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 that neutrons cause little damage on their own, but when they are absorbed by boron-10, they can cause localized emission of alpha radiation. Comment on the utility of this treatment and its potential difficulties. | 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 $a+b+c$?
$\textbf{(A) }59\qquad\textbf{(B) }60\qquad\textbf{(C) }61\qquad\textbf{(D) }62\qquad\textbf{(E) }63$
| 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 tried to fix it , but by that time , the other teams had more advanced technology ," says Eagle Scout Matthew Patchen , 16. "They were a couple of steps ahead of us ." In the end , Matthew's team didn't win the robot competition . But they had a great time working on their Robotics merit badges at the 2011 Advance Camp in Antioch , Calif . Advance Camp is held the last Saturday in September at the Contra Costa County Fairgrounds in Antioch, Calif.Nearly 1,500 Scouts attended in 2011 and worked on different merit badges .Scouts choose from more than 50 merit -badge classes taught by counselors .They can earn merit badges from Fingerprinting to Nuclear Science to Swimming .Robotics is the most popular class . First , one of the counselors talked to Matthew and the other Scouts in his Robotic class about the many different uses for robots . "I learned how advanced it really is ," Matthew says . "Robots are used in medicine and industry ." After the talk , the Scouts were divided into five-person teams . Each team was required to build a basic robot . The next step was programming the tiny computer in the robot so it would make the right moves once it was in the ring . "We programmed our robot so its arm was moving all the time ," Matthew says . "That way , it would knock the other robot over." . That's when they discovered the arm on their robot was too long . As a result , their robot knocked itself over before it could fight with any other robots . "It was a learning experience ," Matthew says . "You have to think ahead." Why did Matthew's team lose the robot competition ?
A. Their robot was too small .
B. Their robot didn't work fast enough .
C. Their robot knocked itself over .
D. Their robot had the shortest arm . | 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 nutritious.But this part is often thrown away with the skin. Even the skin itself is better for food than the inside. When eating a cooked potato, if you choose the inside and leave the outside, you are wasting the best part of it. If you can't eat the whole potato, it is better to eat the outside rim and leave the inner part. A potato has _ .
A. one part only
B. two parts
C. three parts
D. four parts | 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 pointed out that while grown-ups were giving up smoking in ever-growing numbers, more and more young people were taking up the habit, particularly girls. One 15--year--old in four is a regular smoker, according to a study made in 27 countries in Europe and the United States, Canada and Israel----Edinburgh University together with the World Health Organization. In Western Europe, girls were more likely than boys to smoke. In prefix = st1 /Germanyor In England, one third of the girls were smokers compared to one in four boys. In Eastern Europe, the girls "still fall behind" those in the Western Europe but were "catching up" quickly, said the study. The study dealt with the behaviour of 15--year--old in seven European countries over four year periods between 1986 and 1998. The percentages of young women smoking went from 17 percent to 36 percent in Austria, from 17 percent to 28 percent inNorway, from 21 percent to 28 percent inHungary. In the seven countries Austria,Finland,Hungary,Norway,Sweden,SwitzerlandandWales--more girls smoked than boys in 1998, exceptHungary. According to the article, more and more_in Europe were giving up smoking.
A. grown-ups
B. boys
C. girls
D. old men | 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 wins. | 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 |
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