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What is reduced and forms part of the gelatinous disks sandwiched between the vertebrae in humans? | natural science | [
"the sacrum",
"the notochord",
"the pelvis",
"the clavicle"
] | 1B
| sciq | sciq_11490 |
|
How long does a train 250 meters long running at the rate of 72km/hr take to cross a bridge 150 meters in length? | algebra | [
"10sec",
"20sec",
"25sec",
"30sec",
"35sec"
] | 1B
| Distance = length of train + length of bridge = 250+150 = 400
speed = 72km/hr = 72*5/18 = 20m/s
Required time = 400/20 = 20 seconds
Answer is B | aqua_rat | aqua_rat_45162 |
If the sum of the interior angles of a regular polygon measures up to 720 degrees, then how many sides does the polygon have? | algebra | [
"10",
"6",
"12",
"11",
"14"
] | 1B
| one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=720
180n - 360 = 720
180n = 1080
n = 1080/180 = 6
ANSWER:B | aqua_rat | aqua_rat_94508 |
What is the unitβs digit of 213 *212*347*468*778 ? | algebra | [
"5",
"6",
"7",
"8",
"9"
] | 3D
| 3 Γ 2 = 6
6 Γ 7 = 42
2 Γ 8 = 16
6 Γ 8 = 48
So at units place 8 is present
thus ans is 8
ANSWER:D | aqua_rat | aqua_rat_36285 |
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 8%? | algebra | [
"0β1.5 gal",
"1.5β3 gal",
"3β4.5 gal",
"4.5β6 gal",
"6+ gal"
] | 1B
| Let amount of water that must be added in gallons to dilute concentration of brine solution = x
Amount of brine already present = 10/100 * 10 = 1 gallon
1/(10+x) *100 = 8
=>100 = 80 + 8x
=> x= 20/8 = 2.5
Answer B | aqua_rat | aqua_rat_90186 |
2^2*3^3*2^3*3^2*2^2 = | algebra | [
"3^5*2^5",
"2^9*3^4",
"2^4*3^9",
"5^8",
"6^10"
] | 3D
| 2^2*3^3*2^3*3^2*2^2 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 2^7*3^5
E) 6^10
If the base is same, powers are added so that follows D) 2^7*3^5.
Hence the answer is D | aqua_rat | aqua_rat_75242 |
A field of 40 meter long and 35 metre wide.The field is surronded by a path of uniform width of 2.5 metre runs round it on the outside.Find the Volume of the path? | algebra | [
"Cannot be determine",
"400",
"500",
"100",
"250"
] | 0A
| answer is option A.
we cannot determine the volume for the path. | aqua_rat | aqua_rat_35988 |
A car covers a distance of 1932 km in 7 hours. Find its speed? | algebra | [
"104",
"288",
"271",
"276",
"128"
] | 3D
| 1932/7 = 276 kmph
Answer: D | aqua_rat | aqua_rat_79316 |
WELLINGTON, New Zealand (AP) ---- About 140 pilot whales that stranded(...) themselves on a remote stretch of New Zealand beach have died, but conservation workers and volunteers are hoping the remaining 60 or so will survive after they managed to get them refloated, an official said Saturday. The geography of Farewell Spit on the South Island seems to work against whales, which regularly become stranded there. The stranding of 198 whales on Friday was one of the largest in recent years and inspired 80 workers and volunteers to help out. By late Saturday, 140 of the whales had died, said Department of Conservation area manager Andrew Lamason. He said the workers and volunteers worked throughout the day to keep the surviving whales watered and covered before refloating them during Saturday night's high tide. "We've had a really good crew of volunteers, and people have been wanting to come from all over the country,"Lamason said. He said the surviving whales had moved to deeper water. But he cautioned that although hopes for their survival were high, whales had been refloated in the past only to return and get stranded again. Lamason said the scale of the stranding has been tough on the helpers, both physically and mentally. "It's very sad, they're very intelligent animals," he said. "The common view is that it's part of nature." The focus will now turn to the dead whales, and the enormous task of dealing with the remains, Lamason said, adding that in the past helpers have typically buried them in the sand, but that he's not sure what the approach will be this time. He said the department had been experimenting with moving the the dead whales into the water, which has the advantage of providing food for other sea creatures. How will the volunteers deal with the dead whales this time according to Lamason? | nutrition | [
"They will bury them in the sand.",
"They will throw them into the ocean.",
"They do not have any exact idea yet.",
"They will feed them to other sea creatures."
] | 2C
| mmlu_labeled | mmlu_labeled_16704 |
|
A hall 20m long and 15m broad is surrounded by a verandah of uniform width of 2.5m. The cost of flooring the verandah at the rate of Rs.3.50 per sq. meter is | algebra | [
"500",
"600",
"650",
"700",
"750"
] | 3D
| Area of verandah = [(25ΓΖΓ’β¬β20)?(20ΓΖΓ’β¬β15)]mΓΒ²=200 mΓΒ²
Cost of flooring = Rs.(200ΓΖΓ’β¬β3.50) = Rs.700
Answer :D | aqua_rat | aqua_rat_15867 |
A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share. | algebra | [
"Rs. 2592",
"Rs. 2520",
"Rs. 2880",
"Rs. 3360",
"None of these"
] | 0A
| Explanation:
Let C's investment = Rs. x
B's investment = Rs. (x - 3000)
A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)'s investment = Rs. 90000
=> x + (x - 3000) + (x + 3000) = 90000
=> 3x = 90000
=> x = 30000
Hence, A's investment = Rs. 33000
B's investment = Rs. 27000
C's investment = Rs. 30000
Ratio of the capitals of A, B and C
= 33000 : 27000 : 30000
= 11 : 9 : 10
A's share = Rs. [(9/30) Γβ 8640] = Rs. 2592
Answer: Option A | aqua_rat | aqua_rat_59331 |
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s β 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3? | algebra | [
"$0.50",
"$1.00",
"$1.25",
"$1.50",
"$1.75"
] | 0A
| Salary grade of 5 is p(5)=9.50+0.25(5β1)=9.50+0.25*4;
Salary grade of 3 is p(3)=9.50 + 0.25(3β1)=9.50+0.25*2;
p(5)-p(3)=9.50+0.25*4-9.50-0.25*2=0.5.
Answer: A. | aqua_rat | aqua_rat_20562 |
Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 55, and the three numbers in order are? | algebra | [
"116,58,36",
"90,45,30",
"126,63,36",
"108,54,36",
"None of these"
] | 1B
| Explanation :
Solution: Let A =x,
B =x/2, C = x/3.
=x + x/2 + x/3 / 3 = 55
By solving we will get x = 90.
Hence A= 90
B= 90/2= 45
C= 90/3 = 30
Answer : B | aqua_rat | aqua_rat_81571 |
In x-y plane, there is a right triangle ABC (β B=90o). If the length of AC is 225 and the slope of line segment AC is 4/3, what is the length of AB? | algebra | [
"12",
"180",
"24",
"28",
"40"
] | 1B
| Slope = Change in Vertical Direction/Change in Horizontal Direction = 4/3
Change in Vertical Direction = 4x = AB
Change in Horizontal Direction = 3x = BC
AB^2 + BC^2 = 225^2
16x^2 + 9x^2 = 225^2
25x^2 = 225^2
x^2 = 25*9^2
x = 45
Therefore AB = 45*4 = 180
Answer: B | aqua_rat | aqua_rat_37034 |
A fever is a response to a disease-causing agent infecting the body. Raising one's body temperature changes the shape of enzymes in the agent so it cannot reproduce. Which statement best describes a fever? | natural_science | [
"A fever is an internal response to an external stimulus.",
"A fever is an internal response to an internal stimulus.",
"A fever is an external response to an external stimulus.",
"A fever is an external response to an internal stimulus."
] | 1B
| ai2_arc_easy | ai2_arc_easy_741 |
|
Astronomy is the oldest science known to man. Thousands of years ago man looked at the stars and wondered about the heavens. But man was limited by what he could see with his eyes alone. The Greeks studied astronomy over 2,000 years ago. They could see the size, color, and brightness of a star. They could see its place in the sky. They watched the stars move as the seasons changed. But the Greeks had no tools to help themselves study the heavens. Each new tool added to the field of astronomy helped man reach out into space. They did not know that the planet called Saturn had rings around it. Their sight was so limited that they could not see all the planets. In the early 1700s, people thought there were only six planets. Nepture , the last of eight planets to be discovered, was not seen until 1846. Before the spectroscope , man did not know what kind of gases was in the sun or other stars. Without the radio telescope, we didn't know that radio noises came from far out in space. Today, astronomy is a growing science. We had learned more in the last fifty years than in the whole history of astronomy. . When the Greeks watched the stars, they could _ . | astronomy | [
"know what the stars were made of",
"not see their places in the sky",
"help themselves study the heavens",
"watch the stars move as the seasons changed"
] | 3D
| mmlu_labeled | mmlu_labeled_7465 |
|
If the compound interest on a certain sum of money for 3 years at 10% per annum be Rs. 993, what would be the simple interest? | algebra | [
"Rs. 880",
"Rs. 890",
"Rs. 895",
"Rs. 900",
"None"
] | 3D
| Let P = Principal
A - Amount
We have a = P(1 + R/100)3 and CI = A - P
ATQ 993 = P(1 + R/100)3 - P
? P = 3000/-
Now SI @ 10% on 3000/- for 3 yrs = (3000 x 10 x 3)/100
= 900/-
Answer: D. | aqua_rat | aqua_rat_72021 |
If the numbers 1 to 99 are written on 99 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite? | algebra | [
"1/50",
"1/25",
"1/99",
"1",
"2"
] | 2C
| There are 25 primes, 73 composite numbers from 1 to 100. The number
which is neither prime nor composite is 1.
Therefore, required probability = 1/99.
ANSWER:C | aqua_rat | aqua_rat_94853 |
The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table? | algebra | [
"Rs. 5758",
"Rs. 6195",
"Rs. 6425",
"Rs. 7200",
"None of these"
] | 1B
| Explanation:
Labeled price = Rs. 7,500
By giving 5% discount on labeled price, the selling price is
= 95 / 100 * 7500 = Rs. 7125
By earning 15% profit on the selling of price Rs. 7125 the cost price is
= 100 / 115 * 7125 = Rs. 6195.65
Therefore, approximate cost is 6195.65 (ANSWER ROUNDED OFF: Rs.6195)
ANSWER IS B | aqua_rat | aqua_rat_17104 |
How many different subsets of the set {0, 1, 2, 3, 4} do not contain 0? | algebra | [
"A.16",
"B.27",
"C.31",
"D.32",
"E.64"
] | 0A
| Number of subset
Since we have 4 digits other than 0, we can take any numbers from the set of 4 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.
4c1+4c2+4c3+4c4=15
And one set is the NULL set having no elements in it so
15+1=16.
ANSWER A. | aqua_rat | aqua_rat_38943 |
Haumea, which is the third brightest kuiper belt object has an odd oval shape which is probably caused by what? | natural science | [
"unusually rapid rotation",
"extremely rapid rotation",
"Slow rotation",
"particularly rapid rotation"
] | 1B
| Haumea is the third-brightest Kuiper belt object. Haumea has two moons. Haumea's odd oval shape is probably caused by its extremely rapid rotation. It rotates in just less than 4 hours! Like other Kuiper belt objects, Haumea is covered by ice. Its density is similar to Earthβs Moon, at 2.6 β 3.3 g/cm 3 . This means that most of Haumea is rocky. | sciq | sciq_8203 |
What information supports the conclusion that Molly inherited this trait? | biology | [
"Molly's hair is the same color as her brown eyes.",
"Molly's father has brown eyes. He passed this trait down to Molly."
] | 1B
| Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their parents. Inherited traits do not need to be learned.
Acquired traits are gained during a person's life. Some acquired traits, such as riding a bicycle, are gained by learning. Other acquired traits, such as scars, are caused by the environment.
The answer is: | scienceqa | scienceqa_4260 |
one man can do a piece of work in 10days. one boys join him & he complete the work in 6days . if he gets 50rs for his work then what will be the share of the boy. | algebra | [
"10",
"20",
"30",
"40",
"50"
] | 1B
| 1 day work of Man=1/10, If Boy's 1 day work=1/x, then
(1/10)+(1/x)=1/6, x=15
Ratio of work of Man & Boy=1/10:1/15=3:2
So out of 50 Rs. Boy's share=2*50/(3+2)=20
ANSWER:B | aqua_rat | aqua_rat_36732 |
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 35 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B? | algebra | [
"80 lakh",
"56 lakh",
"40 lakh",
"60 lakh",
"None of these"
] | 1B
| Let the incomes of two companies A and B be 5x and 8x respectively.
From the question,
5x+35/8x=5/4 β 20x + 140 = 40x
β΄ x = 7
β΄ Income of company B = 8x = 56 lakh
Answer B | aqua_rat | aqua_rat_30590 |
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 4/7 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water? | algebra | [
"0",
"1/15",
"2/15",
"1/20",
"2/10"
] | 3D
| Suppose the water in each jug is L liters
CX x (1/5) = L
CX = 5L liters
CX is capacity of X
CY x (4/7) = L
CY = 7L/4 liters
CY is capacity of Y
Now, Y is 7L/4 - L empty = 3L/4 empty
So, we can put only 3L/4 water in jug Y from Jug X
Jug X's remaining water = L - 3L/4 = L/4
Fraction of X which contains water = water / CX
= (L/4)/ 5L
= 1/20
Answer will be D | aqua_rat | aqua_rat_76503 |
A does a work in 30 days and B does the same work in 15 days. In how many days they together will do the same work ? | algebra | [
"7 days",
"8 days",
"9 days",
"10 days",
"None of these"
] | 3D
| Explanation:
Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,
So,
A's 1 day work = 1/30
B's 1 day work = 1/15
(A+B)'s 1 day work =
(1/30+1/15)=1/10
So together they can complete work in 10 days.
Answer: D | aqua_rat | aqua_rat_39131 |
Pipe A can fill a tank in 5 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? | algebra | [
"67",
"10",
"18",
"26",
"12"
] | 1B
| Let the leak can empty the full tank in x hours 1/5 - 1/x = 1/10
=> 1/x = 1/5 - 1/10 = 1/10
=> x = 10. Answer:B | aqua_rat | aqua_rat_85903 |
A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares? | algebra | [
"315",
"339",
"288",
"299",
"111"
] | 0A
| Explanation:
Let the areas of the two parts be x and (700-x) hectares
therefore,
So, the two parts are 385 and 315.
Hence, Area of the smaller = 315 hectares
Answer: A) 315 | aqua_rat | aqua_rat_84706 |
For their nick-of-time acts, Toby, a 2-year-old dog, and Winnie, a cute cat, were named Dog and Cat of the Year by the American Society for the Prevention of Cruelty to Animals. As Amy Paul choked on a piece of apple at her home, her dog jumped up, landing hard on her chest and forcing the piece in her throat out. When the Keesling family of Indiana was about to be killed by carbon monoxide, their cat clawed at the wife Cathy's hair until she woke up and called for help. No one could explain their timely heroics. Both pets were rescued by their owners in _ -----Toby as a 4-week-old thrown into a garbage bin to die, and Winnie as a week-old orphan hiding under a barn, so helpless that Cathy's husband, Eric, had to feed her milk with an eyedropper. As the Keeslings recalled it, a gas-driven pump being used broke down, spreading carbon monoxide through the house. By the time Winnie went to rescue, the couple's 14-year-old son was already unconscious. "Winnie jumped on the bed and was clawing at me, with a kind of angry sound," Cathy Keesling said. The state police responding to her 911 call said the family was only minutes from death, judging by the amount of poisonous gas in the house. Amy Paul's husband was at his job when she took a midday break from making jewelry and bit into an apple. "Normally I peel them, but I read in Good Housekeeping Magazine that the skin has all the nutrients, so I ate the skin, and that's what caused me to choke," she recalled. "I couldn't breathe and I was in panic when Toby jumped on me. He never does that, but he did, and saved my life." Both Toby and Winnie accompanied their owners to the awards luncheon. Why did Amy Paul choke on a piece of apple? | nutrition | [
"She was too young to care for herself.",
"She had a big bite.",
"She didn't peel the skin as usual.",
"The apple was too hard."
] | 2C
| mmlu_labeled | mmlu_labeled_6325 |
|
We all know that food makes us grow every day, but sometimes it can make us happy when we feel bad. Food such as sea fish, bananas, pumpkins and chicken can help us be happy. How can they affect our feelings? People living by the sea look much happier than other people, because the fresh sea air helps them clear their minds and they eat a lot of sea fish. Bananas have much Vitamin B6. Having more bananas can help us make a quick decision, and become more confident . Eating pumpkins can also help people get into a good feeling because it's rich in Vitamin B6 and iron . Are you in a bad mood ? If you are, don't sit alone. Go to eat such happy food with your friends. Maybe you'll feel better. ,. (5) Why do people living by the sea look happier? | nutrition | [
"Because they can often go boating.",
"Because they can often swim in the sea.",
"Because they have fresh air and eat sea fish.",
"Because they often drink sea water."
] | 2C
| mmlu_labeled | mmlu_labeled_20187 |
|
I don't want to talk about being a woman scientist again. There was a time in my life when people asked constantly for stories about what it's like to work in a field dominated (controlled) by men. I was never very good at telling those stories because truthfully I never found them interesting. What I do find interesting is the origin of the universe, the shape of space, time and the nature of black holes. At 19, when I began studying astrophysics , it did not bother me in the least to be the only woman in the classroom. But while earning my Ph.D. at MIT and then as a post-doctor doing space research, the issue started to bother me. My every achievement--jobs, research papers, awards--was viewed through the lens of gender politics. So were my failures. Sometimes, when I was pushed into an argument on left brain versus right brain, or nature versus nurture , I would instantly fight fiercely on my behalf and all womankind. Then one day a few years ago, out of my mouth came a sentence that would eventually become my reply to any and all provocations : I don't talk about that anymore. It took me 10 years to get back the confidence I had at 19 and to realize that I didn't want to deal with gender issues. Why should curing sexism be yet another terrible burden on every female scientist? After all, I don't study sociology or political theory. Today I research and teach at Barnard, a women's college in New York City. Recently, someone asked me how many of the 45 students in my class were women. You cannot imagine my satisfaction at being able to answer, 45. I know some of my students worry how they will manage their scientific research and a desire for children. And I don't dismiss those concerns. Still, I don't tell them "war" stories. Instead, I have given them this: the visual of their physics professor heavily pregnant doing physics experiments. And in turn they have given me the image of 45 women driven by a love of science. And that's a sight worth talking about. What does the image the author presents to her students suggest? | human_sexuality | [
"Women students needn't have the concerns of her generation.",
"Women can balance a career in science and having a family.",
"Women have more barriers on their way to academic success.",
"Women now have fewer problems pursuing a science career."
] | 1B
| mmlu_labeled | mmlu_labeled_13472 |
|
Two spherical balls lie on the ground touching. If one of the balls has a radius of 6 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball (in centimeters)? | algebra | [
"12",
"16",
"20",
"24",
"30"
] | 4E
| A straight line will join the two centers and the point of contact, thus making similar triangles.
4/6 = (r-10)/r
4r = 6r - 60
r = 30
The answer is E. | aqua_rat | aqua_rat_69083 |
Which object is the best conductor of electricity? | high_school_physics | [
"metal fork",
"rubber boot",
"plastic spoon",
"wooden bat"
] | 0A
| mmlu_labeled | mmlu_labeled_1675 |
|
85% of a number is a dded to 24, the result is the same number. Find the number? | algebra | [
"28",
"288",
"279",
"number=160",
"232"
] | 3D
| (85/100) * X + 24 = X
3X = 480
X = 160
Answer:D | aqua_rat | aqua_rat_74733 |
You have 5 sticks of lengths 10, 20, 30, 40, 50 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is | algebra | [
"3",
"6",
"7",
"10",
"12"
] | 0A
| The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Based on this there can be only 3 triangles formed: (20, 30, 40), (20, 40, 50), (30, 40, 50)
Answer; A. | aqua_rat | aqua_rat_19613 |
Is the following statement true or false?
Animal cells have chloroplasts. | biology | [
"true",
"false"
] | 1B
|
The answer is: Animal cells have chloroplasts.
This statement is false. Animal cells do not have chloroplasts. Chloroplasts help plant cells make their own food. This food is a type of sugar called glucose. Animal cells cannot make their own food. | scienceqa | scienceqa_830 |
Lymph vessels, like veins, have what objects that prevent the backflow of fluid? | natural science | [
"valves",
"pumps",
"pores",
"fibers"
] | 0A
| sciq | sciq_1940 |
|
MSG (monosodium glutamate) is a food additive , which has been widely used by many food factories all over the world since it appeared first in Japan in 1909. MSG is a _ that is added to some food to improve its original taste and colour. It is used in foods around the world such as cakes, bread, frozen meats, fish and vegetables. In the beginning, people thought MSG was safe just like salt and sugar. However, in 1968 some people reported they seemed to have bad reactions to MSG after having had a meal at a restaurant. They included headaches and quick heartbeat . It was also reported that MSG excited a person's brain and caused his death in Japan. Scientists think that MSG may lead to many neurological disorders . In mice studies done by a university, the evidence showed the mice didn't want to eat the food including MSG. Today many food companies "hide" MSG on food labels by using different names. If you see "natural flavorings", "hydrolyzed protein" and "spices" in a food label, you are probably seeing a hidden way to "report" MSG in a food label. Every time we have a meal in a restaurant, we always feel the food very delicious to taste, but sometimes it is dangerous for our health because some poisonous food additives have been added to the food. To protect people's health, our governments, from central to local, are taking actions to stop factories producing poisonous food additives. If you see "natural flavorings", "hydrolyzed protein" and "spices" in a food label, you will know _ . | nutrition | [
"you must eat the food in a hidden way",
"the food label must be hidden",
"MSG is probably added to the food",
"you must report the food to your parents"
] | 2C
| mmlu_labeled | mmlu_labeled_21683 |
|
where can conserving water be used for survival in? | natural science | [
"our planet",
"oceans",
"rivers",
"deserts",
"watershed",
"clouds",
"Mountains",
"soils"
] | 3D
| conserving water can be used for survival in a dry environment. Deserts are usually very, very dry.. Therefore, conserving water can be used for survival in deserts. | qasc | qasc_3236 |
A possible outcome of scraping oneself on a contaminated object? | natural science | [
"hyperthyroidism",
"hypothyroidism",
"chemical reaction",
"chemical changes",
"limb amputation",
"Decrease bodily water",
"sweating",
"decrease stamina"
] | 4E
| scraping oneself on a contaminated object may cause infection. Infection is a major pathway to ultimate amputation.. Therefore, Scraping oneself on a contaminated object can lead to limb amputation. | qasc | qasc_1661 |
What is the next number of the following sequence
7,0,1,8,5,12,9,2,6,3,2,? | algebra | [
"4",
"5",
"6",
"7",
"8"
] | 1B
| sum of alternate terms is same i.e:
( 7,0,1,8)= 7+1=8 & 0+8=8
(5,12,9,2)=5+9=14 & 12+2=14
likewise ( 6,3,2,x)= since 6+2=8 , so 3+x=8,
hence x=5
ANSWER:B | aqua_rat | aqua_rat_30052 |
160% of 5/8 = | algebra | [
"0.2",
"0.5",
"0.6",
"0.75",
"1.0"
] | 4E
| Should be simple.
1.6*5/8 = 8/8 =1.0
Correct Option : E | aqua_rat | aqua_rat_90267 |
All other things being equal, which of the following men is likely to be the happiest in retirement? | human_aging | [
"Gary who is still married",
"Leo who never married",
"Josh who is divorced",
"Caleb who is remarried"
] | 0A
| mmlu | mmlu_473 |
|
Food sometimes gets poisoned with harmful things. A person who eats such food can get an illness called food poisoning . Food poisoning is usually not serious, but some types are deadly. The symptoms of food poisoning usually begin within hours of eating the poisoned food. Fever is one of the most common symptoms. Certain microorganisms cause most types of food poisoning. Bacteria and other microorganisms can poison eggs, meat, vegetables, and many other foods. After entering the body, these tiny living things release poisons that make people sick. Some chemicals can also cause food poisoning. They are often added to food while it is being grown, processed, or prepared. For example, many farmers spray chemicals on crops to kill weeds and insects. Some people may have a bad reaction to those chemicals when they eat the crops. Some plants and animals contain natural poisons that are harmful to people. These include certain kinds of seafood, grains, nuts, seeds, beans, and mushrooms. When people handle food properly, the risk of food poisoning is very small. Microorganisms multiply rapidly in dirty places and in warm temperatures. This means that people should never touch food with dirty hands or put food on unwashed surfaces. Food should be kept in a refrigerator to stop microorganisms from growing. Meat needs to be cooked thoroughly to kill any dangerous microorganisms. People should also wash food covered with chemicals before eating it. Finally, people should not eat wild mushrooms or other foods that grow in the wild. Some of these foods may contain natural materials that are poisonous to humans. In addition, some types of fish can be poisonous. Most people recover from food poisoning after a few days of resting and drinking extra water. If people eat natural poisons, they must go to the hospital right away to have their stomachs emptied. Which of the following statements is NOT true? | nutrition | [
"Food when poisoned can make people sick.",
"Food poisoning means death.",
"Food poisoning comes in varieties.",
"Food poisoning can be serious."
] | 1B
| mmlu_labeled | mmlu_labeled_13843 |
|
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files? | algebra | [
"3",
"3.5",
"4",
"4.5",
"5"
] | 2C
| Both computers together process files at a rate of 240/12 + 240/6 = 20+40 = 60 files per hour.
The time required to process 240 files is 240/60 = 4 hours
The answer is C. | aqua_rat | aqua_rat_92051 |
A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? | algebra | [
"66 2/3 %",
"33 7/3 %",
"33 1/3 %",
"33 5/8 %",
"34 1/3 %"
] | 0A
| The total number of mangoes bought by the shopkeeper be 15.
If he buys 5 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 5
Profit = SP - CP = 5 - 3 = 2
Profit Percent = 2/3 * 100 = 66 2/3 %
Answer: A | aqua_rat | aqua_rat_4768 |
A protective coating of zinc to prevent corrosion is applied to steel and other metals labeled what? | natural science | [
"galvanized",
"battered",
"polarized",
"corroded"
] | 0A
| Zinc is a silvery metal that quickly tarnishes to a blue-gray appearance. This change in color is due to an adherent coating of a basic carbonate, Zn2(OH)2CO3, which passivates the metal to inhibit further corrosion. Dry cell and alkaline batteries contain a zinc anode. Brass (Cu and Zn) and some bronze (Cu, Sn, and sometimes Zn) are important zinc alloys. About half of zinc production serves to protect iron and other metals from corrosion. This protection may take the form of a sacrificial anode (also known as a galvanic anode, which is a means of providing cathodic protection for various metals) or as a thin coating on the protected metal. Galvanized steel is steel with a protective coating of zinc. | sciq | sciq_7677 |
What term is used to describe the energy reserve carbohydrate of animals? | natural science | [
"lactose",
"fructose",
"sucrose",
"glycogen"
] | 3D
| Glycogen Glycogen is the energy reserve carbohydrate of animals. Practically all mammalian cells contain some stored carbohydrates in the form of glycogen, but it is especially abundant in the liver (4%β8% by weight of tissue) and in skeletal muscle cells (0.5%β1.0%). Like starch in plants, glycogen is found as granules in liver and muscle cells. When fasting, Saylor URL: http://www. saylor. org/books. | sciq | sciq_3624 |
How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph? | algebra | [
"22 sec",
"27 sec",
"25 sec",
"24 sec",
"11 sec"
] | 0A
| Explanation:
D = 100 + 120 = 220
S = 36 * 5/18 = 10 mps
T = 250/10 = 22 sec
Answer: Option A | aqua_rat | aqua_rat_73176 |
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 30 minutes earlier than usual. How much time did the man spend walking? | algebra | [
"45 minutes",
"50 minutes",
"40 minutes",
"55 minutes",
"35 minutes"
] | 0A
| As they arrived 30 minutes earlier than usual, they saved 30 minutes on round trip from home to station (home-station-home) --> 15 minutes in each direction (home-station) --> wife meets husband 15 minutes earlier the usual meeting time --> husband arrived an hour earlier the usual meeting time, so he must have spent waking the rest of the time before their meeting, which is hour-15 minutes= 45 minutes.
Answer: A | aqua_rat | aqua_rat_1050 |
Margaret is 13 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages | algebra | [
"10yrs",
"20yrs",
"30yrs",
"40yrs",
"25yrs"
] | 4E
| Let, age of son x=12
Margaret is 13 years more than twice the age of his son, y = 13+2(x)
=13+2(12)
=13+24
=37yrs
Difference = 37 - 12
=25yrs
ANSWER:E | aqua_rat | aqua_rat_79127 |
How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 5? | algebra | [
"a. 220",
"b. 249",
"c. 432",
"d. 216",
"e. 288"
] | 0A
| Taking Question with it's same language as given
To make number divisible by 5, the unit digit should be either 0 or 5 only
Case 1: If unit digit is fixed as zero
With two6s The choice to fill the remaining three digits = 3C2 x 5 = 15
With all remaining 3 digits different, The choice to fill the remaining three digits = 6 x 5 x 4= 120
Total Such cases = 120+15 = 135
Case 2: If unit digit is fixed as Five
With two6s and one0The choice to fill the remaining three digits = 2 [6605 or 6065]
With two6s and without0The choice to fill the remaining three digits = 3C2 x 4 = 12
With all remaining 3 digits different, and one0The choice to fill the remaining three digits = 2 (ways to place zero) x 5 x 4= 40
With all remaining 3 digits different, and without0The choice to fill the remaining three digits = 3 x 5 x 4= 60
Total Such cases = 2+12+40+60 = 114
Total numbers = 135+114 = 220
ANSWER OPTION A | aqua_rat | aqua_rat_87469 |
What happens to mother-daughter relationships when girls become teenagers. It seems that girls go from playing "dress up", to arguing with their mothers about how they should dress. When a girl is 3-4 years old they love to "dress up" in their mothers' clothes, put on their mothers' makeup, cook, and do whatever else their mother does. This is the time when she can be classified as being a mama's girl. How come girls change so much from childhood to the teenage years? Many parents seek the answer when their daughter becomes a teen. Often when a girl enters high school her behavior changes as well as her physical appearance. When I was young I always liked playing "dress up". It made me feel older and more like my mother. Even when I entered middle school, I still depended a lot on my mother to choose and buy my clothes. Once I entered high school there was a big change. To me, my mother's clothes were no longer "in fashion", and neither was her opinion. I started becoming interested in boys and tried to improve the way I looked. It was not that I wanted to look cool, I just wanted to look my age. This is the time that the mother-daughter relationship can take a turn. It's difficult for a mother to know that her daughter is no longer totally dependent on her. When the daughter starts wearing revealing clothing, dating, and just wanting to be more independent, a mother starts to feel left out, or not needed. The number of arguments increases, and the number of times when the mother and daughter get along happily decreases. When these things start to happen, it is a sign that the daughter wants her independence and the freedom to grow up. When you notice how much your relationship had changed, try to believe positive things come out of the change. Put all the negatives aside and concentrate on what your mother is feeling instead of just on what you're feeling. When it seems too hard to handle, take some quiet time and write out your feelings. Maybe at another time, you can share them with your mother and try to find a way to better your relationship as mother and daughter. If you don't feel comfortable sharing your feelings, at least write them down so you can get them out. It's better than keeping them bottled up inside. A "mama's girl" will Not _ . | human_sexuality | [
"dress up in her mother's clothes",
"depend a lot on her mother to choose and buy her clothes",
"like wearing revealing clothing",
"think her mother's clothes are in fashion"
] | 2C
| mmlu_labeled | mmlu_labeled_6365 |
|
What do you call the hard case that surrounds the soft parts of some animals? | natural science | [
"shell",
"membrane",
"exoskeleton",
"muscles"
] | 2C
| sciq | sciq_9473 |
|
It seems that school children all over the world complain about their school food. What do students of your age eat for lunch at school in other countries? Japan High schools have dining rooms. They serve everything from noodles to rice, but not burgers and chips. Other children bring food from home, such as cold rice balls, meat or fish, pickles and vegetables. Twice a year parents are invited to have a taste of the food. United States A typical menu from a US school is made up of a hamburger with fried potatoes or roast chicken, lettuce and pickles, fruit and cookies. School lunches must also provide at least one third of the daily amount of necessary nutrition , such as, vitamin A, vitamin C and calcium . Australia Meat pies, sausage rolls and hotdogs are all traditional dishes in Australian school shops. But as the country pays more attention to children's health, healthier foods have started to appear on school menus. Many schools have used a traffic light system. The sale of red labeled c) foods, including cookies, chocolate and soft drinks. Is served only twice a week. Healthier green labeled foods such as sushi, sandwiches, corn and watermelons, however, are available every day. South Africa Most of South African schools do not serve meals at all. Classes end at l; 30 p. m. and students get their own lunches. Many students bring food from home, usually sandwiches. Fast food and fried food sell the best among students. As a result, it has caused a rise in obesity c) among children. But as more people began to realize that being too fat may cause different kinds of serious illnesses, some schools in towns have led the way towards better nutrition. Now students at these schools are offered lunches of porridge with vegetables, such as cabbage, onions, beans, carrots and tomatoes. From the passage, we know the typical menu from a US school is _ . | nutrition | [
"delicious",
"quite healthy",
"not very healthy",
"popular in South Africa"
] | 2C
| mmlu_labeled | mmlu_labeled_23916 |
|
A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot? | algebra | [
"33",
"38",
"16",
"87",
"127"
] | 2C
| Let the time in which he travelled on foot = x hr
Then the time in which he travelled on bicycle = (9 - x) hr
distance = speed x time
β4x+9(9βx)=61β4x+81β9x=61β5x=20βx=4β distance travelled on foot = 4x=4Γ4=16 km
Answer : C | aqua_rat | aqua_rat_77459 |
In a room at Texas Children Cancer Center in Houston, eight-year-old Simran Jatar lay in bed with a drip above her to fight her bone cancer. Over her bald head, she wore a pink hat that matched her clothes. But the third grader's cheery dressing didn't mask her pain and weary eyes. Then a visitor showed up. "Do you want to write a song?" asked Anita Kruse, 49, rolling a cart equipped with an electronic keyboard, a microphone and speakers. Simran stared. "Have you ever written a poem?" Anita Kruse continued. "Well, yes," Simran said. Within minutes, Simran was reading her poem into the microphone. "Some bird soaring through the sky," she said softly. "Imagination in its head..." Anita Kruse added piano music, a few warbling (, ) birds, and finally the girl's voice. Thirty minutes later, she presented Simran with a CD of her first recorded song. That was the beginning of Anita Kruse's project, Purple Songs Can Fly, one that has helped more than 125 young patients write and record songs. As a composer and pianist who had performed at the hospital, Kruse said that the idea of how she could help "came in one flash". The effect on the kids has been great. One teenage girl, curling in pain in her wheelchair, stood unaided to dance to a hip-hop song she had written. A 12-year-old boy with Hodgkin's disease who rarely spoke surprised his doctors with a song he calledI Can Make It. "My time with the kids is heartbreaking because of the severity of their illnesses," says Anita Kruse. "But they also make you happy, when the children are smiling, excited to share their CD with their families." Simran is now an active sixth grader and cancer-free. From time to time, she and her mother listen to her song,Always Remembering, and they always remember the "really sweet and nice and loving" lady who gave them a shining moment in the dark hour. Simran Jatar lay in bed in hospital because _ . | college_medicine | [
"most of her hair had fallen out",
"she was receiving treatment for cancer",
"she felt depressed and quit from school",
"she was suffering from a pain in her back"
] | 1B
| mmlu_labeled | mmlu_labeled_19546 |
|
Select the plant. | biology | [
"Flamingos walk and fly.",
"Maple trees have star-shaped leaves."
] | 1B
| Plants and animals are living things. Living things are called organisms.
Plants come in many shapes and sizes. Most plants grow in the ground. They might grow leaves, flowers, and fruit. Plants cannot move around on their own like animals can.
Animals also come in many shapes and sizes. Most animals can move around. Animals might run, swim, jump, or fly. Animals eat plants or other organisms for food.
The answer is: A maple tree is a plant. It has star-shaped leaves.
Maple trees have green leaves in the spring and summer. In the fall, their leaves turn yellow, red, or brown.
A flamingo is an animal. It walks and flies.
Flamingos live in large groups. These groups are called flocks. | scienceqa | scienceqa_1720 |
There is an old Chinese proverb that states "One Generation plants the trees; another gets the shade," and this is how it should be with mothers and daughters. The relationship between a mother and daughter is sometimes confusing. If close, the relationship can be similar to friendship. However, the mother and daughter relationship has unique characteristics that distinguish it from a friendship. These characteristics include a hierarchy of responsibility and unconditional love, which _ mothers and daughters from being best friends. Marina, 27 years old, says, "I love spending time with my mom, but I wouldn't consider her my best friend. Best friends don't pay for your wedding. Best friends don't remind you how they carried you in their body and gave you life! Best friends don't tell you how wise they are because they have been alive at least 20 years longer than you." This doesn't mean that the mother and daughter relationship can't be very close and satisfying. While some adult relationships are still troubled, many find them to be extremely rewarding. This generation of mothers and adult daughters has a lot in common which increases the likelihood of shared companionship. Mothers and daughters have always shared the common experience of being homemakers, responsible for maintaining and passing on family values and traditions. Today contemporary mothers and daughters also share the experience of the workforce and technology, which may bring them even closer together. Best friends may or may not continue to be best friends, but for better or worse, the mother and daughter relationship is permanent, even if for some unfortunate reason they aren't speaking. The mother and child relationship is closer than any other. There is not an equal relationship. Daughters should not feel responsible for their mother's emotional well-being. It isn't that they don't care deeply about their mothers. It's just that they shouldn't be burdened with their mother's well being. The mother and daughter relationship is a relationship that is not replaceable by any other. Mothers never stop being mothers, which includes frequently wanting to protect their daughters and often feeling responsible for their happiness. Mother always "trumps" friend. Why do many mothers and adult daughters keep a rewarding relationship? | human_sexuality | [
"Because they have a lot in common.",
"Because they have common family values.",
"Because they have no generation gap.",
"Because they keep a constant relationship."
] | 0A
| mmlu_labeled | mmlu_labeled_5979 |
|
What is the probability of rolling one six-sided dice, and getting a different number on each die? | algebra | [
"1/12",
"1/3",
"1",
"5/9",
"7/18"
] | 2C
| MAGOOSHOFFICIAL SOLUTION
For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we canβt roll the number we rolled on the first or second die.
6= 6 possibilities out of 216 total possibilities. (For total possibilities we get 6 = 6).
6/ 6 =1
Answer: C. | aqua_rat | aqua_rat_1968 |
How many integers between 314,700 and 458,600 have tens digit 1 and units digit 3? | algebra | [
"10,300",
"10,030",
"1,353",
"1,352",
"1,439"
] | 4E
| There is one number in hundred with 1 in the tens digit and 3 in the units digit:13, 113, 213, 313, ...
The difference between 314,700 and 458,600 is 458,600-314,700=143,900 - one number per each hundred gives 143,900/100=1,439 numbers.
Answer: E. | aqua_rat | aqua_rat_26486 |
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 343, what is the common ratio of the G.P? | algebra | [
"3",
"1/3",
"2",
"7",
"1/7"
] | 3D
| 343=(a1+a2+a3+a4+a5+a6)/(a1+a2+a3)
Factorize the same terms
343=1+(a4+a5+a6)/(a1+a2+a3)
Write every term with respect to r
a1=a1
a2=a1*r^1
a3=a1*r^2
.........
343=1+(a1(r^3+r^4+r^5))/(a1(1+r^1+r^2))
342=(r^3 (1+r^1+r^2))/((1+r^1+r^2))
342=r^3
r=7
D | aqua_rat | aqua_rat_21672 |
Frances can complete a job in 16 hours, and Joan can complete the same job in 8 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished? | algebra | [
"9 p.m.",
"7 p.m.",
"8 p.m.",
"10 p.m.",
"12 p.m."
] | 0A
| Let the total work be 24 units.
Frances can complete 1.5 units/hr
Joan can complete 3 units/hr
Work done by Frances in 6 hours is 9 units ; work left for Joan is 15 units ( 24 - 9)
Time required by Jones to complete the remaining work will be 15/3 => 5 hours
Given Jones starts at 4PM , so she would complete the work at 9 PM
Answer will be (A) | aqua_rat | aqua_rat_51422 |
A crate of apples contains 1 bruised apple for every 30 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate? | algebra | [
"720",
"360",
"480",
"600",
"840"
] | 0A
| as given 2 out of every 4 bruised apple is not fit to sell
or, 50% of the bruised apples are not fit to sell.
as per the question 12 are not fit to sell
or,
0.0.5x=12
x=1200/50=24
thus total number of bruised apples =24
total number of apples =30*24=720
Answer:A | aqua_rat | aqua_rat_82864 |
What is the perimeter of a triangle with sides 7 and 4 that has the maximum possible area? | algebra | [
"11 + β5",
"11 + β6",
"11 + 4β7",
"11 + β65",
"11 + 3β17"
] | 3D
| We can maximize the area of the triangle by making these two sides the base and the height of a right angle triangle. Then the third side is the hypotenuse with a length of β(49+16) = β65
The perimeter is 11 + β65
The answer is D. | aqua_rat | aqua_rat_80477 |
Exactly 3/5 of the people in the room are under the age of 21, and exactly 5/13 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21? | algebra | [
"21",
"35",
"39",
"60",
"42"
] | 4E
| The total number of the people in the room must be a multiple of both 5 and 14 (in order 3/5 and 5/14 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 5 and 14, which is 70.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 70 people in the room.
Therefore there are 3/5*70=42 people in the room under the age of 21.
Answer: E. | aqua_rat | aqua_rat_64712 |
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made? | algebra | [
"1.2",
"3.78",
"16.5",
"5.84",
"7.62"
] | 2C
| Explanation:
Let the quantities of A and B mixed be 3x kg and 7x kg.
Cost of 3x kg of A = 9(3x) = Rs. 27x
Cost of 7x kg of B = 15(7x) = Rs. 105x
Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x
Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66
Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50
Correct Option : C | aqua_rat | aqua_rat_42427 |
4 years ago, Paula was 4 times as old as Karl. In 12 years, Paula will be twice as old as Karl. What is the sum of their ages now? | algebra | [
"36",
"40",
"44",
"48",
"52"
] | 3D
| P-4 = 4(K-4) and so P = 4K-12
P+12 = 2(K+12)
(4K-12)+12 = 2K+24
K = 12
P = 36
P+K = 48
The answer is D. | aqua_rat | aqua_rat_29916 |
Which is the hardest? | physics | [
"rock",
"clay ball",
"nylon swim shorts"
] | 0A
| Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, tastes, or smells. Some examples of properties are shiny, hard, fragile, and stretchy.
For example, a shiny material reflects a lot of light. A fragile material breaks when you drop it.
The answer is: Hard is a property. A hard material keeps its shape when you press on it with your finger.
Look at each picture, one at a time. Imagine pushing on the material shown in each picture.
Of the choices, the rock is the hardest. If you squeeze a rock, it will not change shape. | scienceqa | scienceqa_4293 |
Last year, Company Z made q dollars in profit. Half of the profit went to the companyβs founder. The rest was split evenly among his two other partners. In terms of q, how much did each of the other partners receive? | algebra | [
"q/4",
"q/5",
"q/6",
"q/7",
"q/8"
] | 0A
| Profit = q
Profit to company founder = q/2
Profit to other partners = q/2
Number of other partners = 2
Profit to each partner = (q/2)/2 = q/4
Answer: A | aqua_rat | aqua_rat_23509 |
What information supports the conclusion that Gabe inherited this trait? | biology | [
"Gabe's parents have blond hair. They passed down this trait to Gabe.",
"Gabe's mother cuts his hair every month."
] | 0A
| Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their parents. Inherited traits do not need to be learned.
Acquired traits are gained during a person's life. Some acquired traits, such as riding a bicycle, are gained by learning. Other acquired traits, such as scars, are caused by the environment.
The answer is: | scienceqa | scienceqa_3758 |
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? | algebra | [
"648",
"888",
"928",
"1184",
"None of these"
] | 3D
| B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148 => 2k = 296 => k = 148
The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.
ANSWER:D | aqua_rat | aqua_rat_39774 |
Based on this information, what is Iago's phenotype for the body feather color trait? | biology | [
"blue body feathers",
"green body feathers"
] | 0A
| All organisms have pieces of hereditary material called genes, which are passed from parents to offspring. Genes contain instructions for building the parts of an organism. An organism's genes affect its observable traits, including its appearance, its behavior, and which diseases it may have. Genes may have different alleles, or forms, that can cause different versions of a trait.
For example, flower color is a trait in pea plants. The gene for this trait has two possible alleles. Each allele is represented by an uppercase or lowercase letter. The allele F is for purple flowers, and the allele f is for white flowers. Each pea plant has two alleles for the flower color geneβone allele inherited from each parent.
An organism's genotype for a gene is its combination of alleles for that gene. So, a pea plant may have a genotype of FF, Ff, or ff for the flower color gene.
An organism's phenotype for a trait is its observable version of that trait, which depends on the organism's combination of alleles. A pea plant may have a phenotype of purple flowers or white flowers for the flower color trait.
Some traits, like flower color in pea plants, are controlled by a single gene. Most plants and animals have a genotype made up of two alleles for these traits. These two alleles determine whether an organism is homozygous or heterozygous for the gene.
An organism with two identical alleles for a gene is homozygous for that gene. A pea plant with the genotype FF or ff is homozygous for the flower color gene.
An organism with two different alleles for a gene is heterozygous for that gene. A pea plant with the genotype Ff is heterozygous for the flower color gene.
The types of alleles in an organism's genotype determine the organism's phenotype. Some alleles have types called dominant and recessive. These two types can cause different versions of a trait to appear as the organism's phenotype.
A dominant allele causes its version of the trait to appear even when the organism also has a recessive allele for the gene. In pea plants, the F allele, which causes purple flowers, is dominant over the f allele. A pea plant with at least one F allele will have the F allele's version of the flower color trait. So, a plant with the genotype FF or Ff will have purple flowers.
A recessive allele causes its version of the trait to appear only when the organism does not have any dominant alleles for the gene. In pea plants, the f allele, which causes white flowers, is recessive to the F allele. A pea plant with only f alleles will have the f allele's version of the flower color trait. So, a plant with the genotype ff will have white flowers.
The answer is: Iago's genotype for the body feather color gene is bb. Iago's genotype of bb has only b alleles. The b allele is for blue body feathers. So, Iago's phenotype for the body feather color trait must be blue body feathers.
To check this answer, consider whether Iago's alleles are dominant or recessive. The allele for blue body feathers (b) is recessive to the allele for green body feathers (B). This means B is a dominant allele, and b is a recessive allele.
Iago's genotype of bb has only recessive alleles. An organism with only recessive alleles for a gene will have the recessive allele's version of the trait. So, Iago's phenotype for the body feather color trait must be blue body feathers. | scienceqa | scienceqa_4241 |
The length of the bridge, which a train 170 metres long and travelling at 45 km/hr can cross in 30 seconds, is? | algebra | [
"876 m",
"157 m",
"205 m",
"156 m",
"167 m"
] | 2C
| Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (170 + x)/30 = 25/2
=> 2(170 + x) = 750 => x
= 205 m.
Answer: C | aqua_rat | aqua_rat_61480 |
What mostly influences plant growth, biodiversity, and adaptations of land organism? | natural science | [
"Summer",
"global warming",
"Greenhouse gases",
"temperature",
"deserts",
"color of the rocks",
"color of the soil",
"color of the sky"
] | 3D
| Climate influences plant growth, biodiversity, and adaptations of land organisms.. Climates are determined mostly by temperature.. Therefore, temperature mostly influences plant growth, biodiversity, and adaptations of land organisms. | qasc | qasc_4093 |
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 17 parochial schools, and 8 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A? | algebra | [
"1",
"3",
"4",
"5",
"6"
] | 0A
| Total Private Schools = 8
Dist A: High Schools = 18 ==> Private Schools = ?
Dist B: High Schools = 17 ==> Private Schools = 2
Dist C: High Schools = 15 ==> Private Schools = 5
Therefore, 8 - 2 - 5 ==> 1
Answer A) | aqua_rat | aqua_rat_30020 |
Given that a is the average (arithmetic mean) of the first five positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b? | algebra | [
"3:4",
"6:13",
"5:6",
"13:10",
"4:3"
] | 1B
| The first nine positive multiples of six are {6, 12, 18, 24,30}
The first twelve positive multiples of six are {6, 12, 18, 24, 30,36,42, 48, 54, 60, 66, 72}
Both sets are evenly spaced, thus their median=mean:
a=18 and b=(36+42)/2=39 --> a/b=18/39=6/13.
Answer: B. | aqua_rat | aqua_rat_44121 |
How does a tiger get stripes? | college_biology | [
"from its environment",
"from its food",
"from its offspring",
"from its parents"
] | 3D
| mmlu_labeled | mmlu_labeled_598 |
|
An astronomer noted that a grouping of red giant stars had an average solar mass of 8 M each, and a grouping of white dwarf stars had an average solar mass of 1.5 M each. If the astronomer calculated the total solar mass of both groupings to be 49 M, what total number of red giant stars and white dwarf stars did the astronomer note? | algebra | [
"10",
"11",
"12",
"13",
"14"
] | 1B
| We can determine quickly that total number should range between 49/8 <= N <=49/1.5 , so ans should be between 6 and 33.
Now solving the expression 8A+1.5B =49
decreasing 49 in multiple of 8 and checking divisibility of that number by 1.5. this way we get
2 red giants, 22 white dwarfs we get 49, but 2 + 22 = 24 and 24 is not an option.
Next we get 5 red giants and 6 white dwarfs to get 49, 5*8 + 6*1.5 = 49
Hence total number is 5 + 6 = 11
Ans B | aqua_rat | aqua_rat_71207 |
A bag of potatoes weighs 36 lbs divided by half of its weight. How much does the bag of potatoes weight? | algebra | [
"20 lb",
"30 lb",
"10 lb",
"15 lb",
"36 lb"
] | 4E
| Sol.
36Γ·3 = 12.
Answer : E | aqua_rat | aqua_rat_23508 |
what can zinc have a positive impact on? | natural science | [
"humans",
"plants",
"Heart rate",
"surgery",
"cells",
"food",
"animals",
"the skin"
] | 3D
| zinc has a positive impact on the healing of wounds. Wound healing Wound healing is a critical aspect of surgery.. Therefore, zinc can have a positive impact on surgery. | qasc | qasc_7780 |
An investor bought two shares of stock, which he sold for $60 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had: | algebra | [
"a profit of $10",
"a profit of $5",
"a loss of $5",
"a loss of $10",
"neither a profit nor a loss"
] | 2C
| The cost of the first stock was 60/1.2=50, so the profit from it is 10.
The cost of the second stock was 60/0.8=75, so loss from it is 15.
Overall the loss is $5.
The answer is C. | aqua_rat | aqua_rat_57073 |
What is 82% of 3/4? | algebra | [
"6.9",
"69.0",
"0.6845",
"0.6859",
"0.615"
] | 4E
| 82%*(3/4)=0.82*0.75=0.615
Answer :E | aqua_rat | aqua_rat_8149 |
the sides of a triangle are in the ratio 3:5:7.if the pereimeter is 60 cms,the longest side is | algebra | [
"7",
"30",
"28",
"25",
"16"
] | 2C
| 3x+5x+7x=60
15x=60
x=4
longest side=7*4=28
ANSWER:C | aqua_rat | aqua_rat_91713 |
The average of five results is 46 and that of the first four is 45. The fifth result is? | algebra | [
"22",
"02",
"78",
"50",
"18"
] | 3D
| 5 * 46 β 4 * 45 = 50
Answer: D | aqua_rat | aqua_rat_24465 |
The human body is a living machine, and, like all machines, it needs "fuel" to supply it with energy. This is provided by the food we eat. But how much do we need to stay healthy? The energy value of food is usually measured in calories . A calorie is the amount of heat required to raise the temperature of 1 kg of water by 1degC. The number of calories people need per day is different, as the picture shows. Also, the number of calories you use at any one moment normally depends on the activity you are in. For example, you need more calories for standing than for sitting, more for running than for walking, and so on. The energy in food is in the form of three kinds of chemical materials--carbohydrate , protein and fat. Carbohydrate provides 3.8 Cal /gm of the energy, protein 4.0 Cal/gm, and fat 8.8 Cal/gm. Each food contains different amounts of these materials, as the round pictures show. (P= protein C= carbohydrate F=fat) Which of following is True? | nutrition | [
"You need more calories for swimming than for mountain climbing.",
"A child aged 8 needs the same amount of calories every day as a man over 70 does.",
"A woman feeding baby needs over 4 times the amount of calories that a baby does.",
"Everyone needs the same amount of calories per day."
] | 1B
| mmlu_labeled | mmlu_labeled_24016 |
|
Scottish pupils recently were part of a new scheme that allowed them to take their exams online. Those examinations provided a glimpse of the future in May when 120 _ in 10 centers in Scotland sat in front of computers to take a multiple-choice online exam. Although candidates were using a computer mouse instead of a pen, in all other ways the exam was the same as normal. Exam rooms were set out to ensure that only the candidates and the teachers were able to see the individual screens. The online answers were sent directly to a safe area. According to the students at St Ninian's in East Renfrewshire who took an online French exam, it was definitely the most motivated they had ever felt when taking an exam. "I could go as fast as I wanted to, rather than as slow as everyone else wanted to," said one. "It was better than looking back and forth between the questions," said another. One pupil even described it as fun. Their head teacher, Dorothy Graham, was not so surprised, "They are so used to doing things on computers that it seems natural for them. The boys liked it because they didn't have to worry about how neat their work was." The only things that worried her were power cuts and systems' crashing. It's thought that online exams could be the norm in about five years. However, last year there were warnings about computerizing exams in England and Wales. It's thought that it could be unfair to some students if they come from homes without access to a computer. Why do people think it is unfair to some students without computers at home? | college_computer_science | [
"Because they are not able to take the exam at home.",
"Because they can't be allowed to take the exams if they don't have computers at home.",
"Because they can't operate computers as well as those who have computers at home.",
"Because they are worried about how neat their work is."
] | 2C
| mmlu_labeled | mmlu_labeled_2218 |
|
In how many different number of ways 5 boys and 2 girls can sit on a bench? | algebra | [
"5040",
"730",
"740",
"750",
"800"
] | 0A
| npn = n!
7p7 = 7 x 6 Γ 5 Γ 4 Γ 3 Γ 2 Γ 1 = 5040
A | aqua_rat | aqua_rat_59569 |
If you think American cooking means opening a package and throwing the contents into the microwave oven , think again. On the one hand, it's true that many Americans have cold cereal for breakfast, sandwiches for lunch and instant dinners. From busy homemakers to working people, many Americans enjoy the convenience of fast food that can be ready to serve in 10 minutes or less. On the other hand, many Americans realize the importance of cooking skills. Parents -- especially mothers -- see the importance of training their children -- especially daughters. Most Americans think that there's nothing better than a good home-cooked meal. _ . Probably every cook has his or her own way of cooking. But there are some basic skills that most people follow. For example, baking is a main method of preparing food in America. For that reason, Americans would find it next to impossible to live without an oven. American cooks pay special attention to the balance of foods, too. In planning a big meal they try to include meat, a few vegetables, some bread and often a dessert. They also like to make sure the meal is colorful. Having several different colors of food on the plate usually makes for a healthy meal. For those who need guidance in their cooking, or for those who have just run out of ideas, recipes are a great help. Recipes list all the ingredients for a dish (generally in the order used), the amount of each to use, and a description of how to put them together. Many Americans have cold cereal for breakfast, sandwiches for lunch and instant dinner because _ . | nutrition | [
"they like instant food very much",
"they don't like cooking at all",
"most American working people are busy and don't have time to cook",
"fast food is delicious and it usually contains a lot of vitamins"
] | 2C
| mmlu_labeled | mmlu_labeled_12907 |
|
A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is? | algebra | [
"10ft",
"20ft",
"30ft",
"40ft",
"50ft"
] | 1B
| Explanation:
let the radius of the pool be Rft
radius of the pool including the wall = (R+4)ft
area of the concrete wall = Ο[(R + 4)2 - R2] = Ο[(R + 4 + R)(R + 4 - R)] = 8Ο(R + 2) sq feet
β 8Ο(R + 2) = 11/25ΟR2 β 11 R2 = 200(R + 2)
Radius of the pool R = 20ft Answer: B | aqua_rat | aqua_rat_67282 |
Want to live longer? Win an Oscar. A new study says that actors who received the award earn more than larger paychecks. So when 94-year-old Katharine Hepburn once remarked that she was respected internationally "like an old building", she had no idea that her four Oscars directly influenced her longevity . The study says winning actors will live 3.9 years longer than their losing counterparts . Actors who have won more than once, like Hepburn, live up to six years longer than those who were nominated but never won. "We found that they died from the same things we all die from--cancer, heart disease, but they fought them a bit longer and diseases came a bit later," says Dr. Donald Redelmeier, the leading author of the study. Redelmeier says the sense of success and satisfaction makes one's soul become more full of life. "We are not saying that you will live longer if you win an Oscar," explains Redelmeier, "or that people should go out and take acting courses. Our main conclusion is simply that social factors are important." The study's implied conclusion, he says, is that doctors should ask about their patients' personal feelings because mental well-being is related to physical health. Redelmeier says he got the idea for the study when he watched a glowing Gwyneth Paltrow win an Oscar in 1999 for her role in Shakespeare in Love. Redelmeier says, "She looked more full of life than anyone I had seen." "We found, too, those that had multi-nominations and no win had the same life expectancy as those with just a single nomination and no win," Redelmeier adds. Tom had five Oscar nominations but win no Oscar and Peter had only one nomination and won no Oscar either. We can tell _ . | college_medicine | [
"Tom probably will have a longer life than Peter.",
"Peter probably will have a longer life than Tom",
"Both Tom and Peter probably will have the same life expectancy",
"Both Tom and Peter probably will have a long life."
] | 2C
| mmlu_labeled | mmlu_labeled_14187 |
|
If x/6 and x/15 are integers, then x must be divisible by - | algebra | [
"12",
"18",
"30",
"45",
"60"
] | 2C
| Factors of 6 2 and 3
factors of 15 are 3 and 5
So number is 2*3*5 = 30
ANSWER:C | aqua_rat | aqua_rat_15186 |
Set #1 = {A, B, C, D, E}
Set #2 = {K, L, M, N, O}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? | algebra | [
"13/6",
"13/5",
"13/25",
"2/3",
"5/6"
] | 2C
| So Not a vowel in Set-1 : 3/5
And not a vowel in Ser-2:4/5
Now,
3/5β4/5=12/25
This is for not a vowel.
Then for at least one vowel will be = 1β12/25=13/25
Answer will be C. | aqua_rat | aqua_rat_81439 |
A city has an outbreak of a disease that affects an unusually large portion of its population at the same time. Which term best describes the outbreak? | natural_science | [
"pandemic",
"plague",
"epidemic",
"infection"
] | 2C
| ai2_arc_easy | ai2_arc_easy_2030 |
|
A boy has to cover a total distance of 300 kms. in 6 hours. He travels at the rate of 60 kmph. for first 90 minutes and next 100 kms. at the rate of 50 kmph. At what average speed must he travel now in order to complete the journey in 6 hours? | algebra | [
"24 kmph",
"84 kmph",
"48 kmph",
"44 kmph",
"14 kmph"
] | 3D
| Explanation:
The boy travels 60 kmph for 90 min, this means he travels 90 km.
Next 100 km at the rate of 50 kmph, this means he travels 100 km.
Total distance traveled till now = 100 + 90 = 190 km
Time spent = 1.5 + 2 = 3.5 hr
Required speed = Remaining distance/ Time
= (300 β 190) /(6 β 3.5)
= 110/ 2.5 = 44 kmph\
ANSWER: D | aqua_rat | aqua_rat_89664 |
A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be : | algebra | [
"8 cm",
"9 cm",
"10 cm",
"11 cm",
"None"
] | 0A
| Sol.
Let the radius of the cone be r cm.
Then, 1/3 β * rΒ² * 6 = β * 8 * 8 * 2
β rΒ² = [8 * 8 * 2 * 3 / 6] = 64
β r = 8 cm.
Answer A | aqua_rat | aqua_rat_86681 |
The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas? | algebra | [
"1:22",
"8:12",
"36:41",
"81:19",
"1:11"
] | 2C
| Ratio of the sides = Β³β343 : Β³β512
= 7 : 8
Ratio of surface areas = 72:82
= 36:41
Answer: C | aqua_rat | aqua_rat_22165 |
The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass? | algebra | [
"37 kg",
"35 kg",
"85 kg",
"45 kg",
"25 kg"
] | 1B
| 7/20 * 100 = 35
Answer: B | aqua_rat | aqua_rat_94239 |
There are between 90 and 100 cards in a collection of cards. If they are counted out 3 at a time, there is 1 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? | algebra | [
"91",
"93",
"95",
"97",
"99"
] | 3D
| The numbers with the form 4n+1 are 93 and 97.
Only 97 has the form 3k+1.
The answer is D. | aqua_rat | aqua_rat_86100 |
If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill? | algebra | [
"50",
"60",
"55",
"70",
"None of these"
] | 0A
| Let the bill be x. Then
90% of x = 45
β x = 45Γ100/90 = 50
Answer A | aqua_rat | aqua_rat_92361 |
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