question stringlengths 1 5.05k | choices sequencelengths 3 5 | answer stringclasses 4
values | support stringlengths 0 3.68k | source stringclasses 4
values |
|---|---|---|---|---|
If 2/w + 2/x = 2/y and wx = y, then the average (arithmetic mean) of w and x is | [
"4",
"1",
"1/2",
"8"
] | C | Given: 2/w + 2/x = 2/ywx=y
Find: (w+x)/2 = ?
2(1/w + 1/x) = 2(1/y) - divide both sides by 2
(1/w + 1/x) = 1/y
(x+w)/wx = 1/wx - sub'd in y=wx
x+w - 1 = 0
x+w = 1
Therefore (w+x)/2 = 1/2
Ans: A | AquaRat_train |
Which tool would be best to measure the length of a butterfly? | [
"triple beam balance",
"graduated cylinder",
"metric ruler",
"thermometer"
] | C | ai2_arc_train | |
Cindy learned that trees release gases into to the air during photosynthesis. What gas does a tree release? | [
"carbon dioxide",
"hydrogen",
"nitrogen",
"oxygen"
] | D | MMLU_train | |
Which of the following needs soil | [
"a planter",
"a painted house",
"a bamboo stalk",
"an industrial plant"
] | C | MMLU_train | |
Although similar in appearance to hyenas , African wild dogs are nevertheless true wild canine . They are a mixture of black, yellow, and white in such a wide variety of patterns that no two individuals look exactly alike. African wild dogs are widely distributed across the African plains but they do not live in jungle... | [
"African wild dogs are completely different from domestic dogs in size, weight",
"African wild dogs are living in groups",
"African wild dogs use their eyes mostly when sleeping to guard",
"African wild dogs use their noses to find their food in most cases"
] | B | MMLU_train | |
Students who get tired of looking at the four walls of a classroom might like to take the nature course being offered by Carvel College again this summer. Groups of about a dozen students each, led by an experienced guide, will go on ten-day camping trips to the mountains to study the plants and animals that grow and l... | [
"Wash themselves up in a mountain lake.",
"Attend classes by the experienced guide.",
"Write about what they see along the trail.",
"Review what they learn through discussion."
] | D | MMLU_train | |
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $15 and the other one, that is cheaper, costs $10. The factory holds a $140 worth stock of 13 modules. How many of the modules in the stock are of the cheaper kind? | [
"11",
"30",
"35",
"20"
] | A | So the number of $10 modules must be 11 so that the leftover 2 modules are of $15 which will give a total value $140. 11*10+2*15 = 110+30=140
Answer : D | AquaRat_train |
Joke is faster than Paul, Joke and Paul each walk 24 KM. The sum of their speed is 7 Km per hour. And the sum of times taken by them is 14 hours. Then, Joke speed is | [
"3",
"2",
"8",
"7"
] | A | Speed=DistanceTimeSpeed=DistanceTime
let the speed of joke x then speed of paul will be 7-x
24x+247−x=1424x+247−x=14
Try to plugin the values from the options. If Joke speed is 4 the paul is 3.
Answer:D | AquaRat_train |
Going to outer space is a little like going camping. You have to carry with you all the food and equipment you need for your trip, so your food can't be too heavy or hard to prepare. Plus, there are no refrigerators to keep food cold and fresh. Food with all the water dried out is lightweight and doesn't spoil. So, ... | [
"Liquid doesn't spoil.",
"Liquid is convenient to use in space.",
"Liquid is lightweight.",
"Astronauts are in great need of water."
] | B | MMLU_train | |
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"28",
"108",
"27",
"271"
] | B | Length = Speed * time
Speed = L/T
S = 600/20
S = 30M/Sec
Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 108 Kmph
Answer:C | AquaRat_train |
Find the simple interest on Rs.500 for 9 months at 6 paisa per month? | [
"Rs.275",
"Rs.324",
"Rs.270",
"Rs.325"
] | C | I = (500*9*6)/100 = 270
Answer :B | AquaRat_train |
When did you see a polar bear ? On a trip to a zoo, perhaps ? If you had attended a winter activity in New York a few years ago, you would have seen a whole polar bear club. These "Polar Bears" are people who meet frequently in the winter to swim in freezing cold water. That day, the air temperature was 3 degrees. And... | [
"Polar bears are bears swimming in freezing water",
"cold-water swimming can make the body temperature dangerously high",
"you are healthy if cold-water swimming turns your skin color blue",
"cold-water swimming causes more heart attack in summer than in winter"
] | D | MMLU_train | |
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 65 percent carbonated water, what percent of the volume of the mixture is P? | [
"20%",
"60%",
"50%",
"40%"
] | D | 65% is 15%-points below 80% and 10%-points above 55%.
So the ratio of solution P to solution Q is 2:3.
Mixture P is 2/5 = 40% of the volume of mixture PQ.
The answer is B. | AquaRat_train |
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform. | [
"335 meter",
"375 meter",
"310 meter",
"350 meter"
] | D | Explanation:
Speed = Distance/time = 300/18 = 50/3 m/sec
Let the length of the platform be x meters
then
Distance=Speed∗Timex+300=50/3 X 39
=>3(x+300)=1950=>x=350 meters
ANSWER IS D | AquaRat_train |
A and B can do a piece of work in 60 days and 60 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed? | [
"50days",
"30days",
"35days",
"40days"
] | B | Explanation:
(A+B)’s 10 days work = 10[1/60+1/60]=10[1+1/60]= 1/3
A complete remaining work in 1/3*60 = 20
Total work = 10+20 = 30days
Answer: Option A | AquaRat_train |
A man can row with a speed of 15 kmph in still water. If the stream flows at 1 kmph, then the speed in downstream is? | [
"99",
"77",
"71",
"16"
] | D | M = 15
S = 1
DS = 15 + 1 = 16
Answer: A | AquaRat_train |
A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is? | [
"Rs 8927",
"Rs 8920",
"Rs 8922",
"Rs 89298"
] | B | Use the formula Amount = Principal Amount(1 + R/100)n
Where r is rate and t is time in years
=>13,380 = P(1+R/100)2 --(1)
=>20,070 = P(1+R/100)6 --(2)
=> 1.5 = (1+R/100)4
=> P = Rs 8920
ANSWER:D | AquaRat_train |
Why are living things considered to be renewable? | [
"they decompose",
"they evolve",
"they inherit traits",
"they reproduce"
] | D | Living things are considered to be renewable. This is because they can reproduce to replace themselves. However, they can be over-used or misused to the point of extinction. To be truly renewable, they must be used sustainably. Sustainable use is the use of resources in a way that meets the needs of the present and als... | SCiQ_train |
Find the greatest number, which will divide 260, 281 and 303, leaving 7, 5 and 4 as remainders respectively. | [
"23",
"27",
"24",
"26"
] | A | Ans: We have to find the HCF of (260 - 7, 281 - 5, 303 - 4) = HCF (253, 276, 299) = 23
Answer A | AquaRat_train |
Riding School: You can start horse-riding at any age. Choose private or group lessons any weekday between 9 a.m. and 8:30 p.m. (3:30 p.m. on Saturdays). There are 10 kilometres of tracks and paths for leisurely rides across farmland and open country. You will need a riding hat. Opening Hours: Monday through Friday:... | [
"Sailing Club",
"Riding School",
"Watersports Club",
"Diving Centre"
] | C | MMLU_train | |
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X? | [
"16",
"26",
"17",
"20"
] | C | y = product of all elements in set X. now, y will be even if 2 is part of this set (k=2), else y will be odd.
since we have, 11y as an even integer. therefore y must be even. (because 11 is odd, therefore the only way in which 11y can be even is when y is even.)
thus elements in the set X are {2,3,11,7,17,19} and thus ... | AquaRat_train |
The difference between the simple interest received from two different sources on Rs. 1000 for 3 years is Rs. 13.50. The difference between their rates of interest is? | [
"D)0.25%",
"A)2.4%",
"E)1.3%",
"C)0.3%"
] | A | (1000 * R1 * 3)/100 - (1000 * R2 * 3)/100 = 13.50 4000(R1 - R2) = 1350
R1 - R2 = 0.25%
Answer:D | AquaRat_train |
30 is subtracted from 40% of a number, the result is 50. Find the number? | [
"200",
"997",
"266",
"271"
] | A | (40/100) * X – 30 = 50
4X = 800
X = 200
Answer:A | AquaRat_train |
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream? | [
"21 kmph.",
"28 kmph.",
"25 kmph.",
"20 kmph."
] | D | Speed of the boat in still water = (80+120)/2 = 100 kmph. Speed of the stream
= (120-80)/2
= 20 kmph.
Answer:C | AquaRat_train |
Doctors' moonlighting is becoming popular in hospitals around China. It has not only raised a lot of heated discussions in the media, but also caught the attention of the central government in Beijing. On December 26, a spokesman of the Ministry of Health stressed that the ministry was firmly against doctors' moonlight... | [
"only work for one hospital",
"work for more than one hospital",
"work any time when they are free",
"be out of control of hospitals"
] | B | MMLU_train | |
If a = 1 and b = -2, then (2a^2 + b)(t + y) + (a + b)(t - y) = | [
"0",
"2x",
"y - t",
"x - y"
] | C | Putting A=1 and B = -2 => 2A^2-B=0 ; so the first part of the term is zero
with second term => (1-2) *(t+y)=y-t => Smash C | AquaRat_train |
Reducing the number of molecules in a rigid container causes what to decrease? | [
"velocity",
"pressure",
"demand",
"energy"
] | B | The canister on the left contains a gas at a certain pressure. The attached air pump is then used to double the amount of gas in the canister. Since the canister cannot expand, the increased number of air molecules will strike the inside walls of the canister twice as frequently as they did before. The result is that t... | SCiQ_train |
Salts of weak acids or bases can affect the acidity or what of their aqueous solution? | [
"ductility",
"compound",
"atomicity",
"basicity"
] | D | Salts of weak acids or bases can affect the acidity or basicity of their aqueous solutions. | SCiQ_train |
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178? | [
"2200",
"2201",
"2221",
"2287"
] | A | Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178.
=> (90%) of (110%) of x = Rs. 2178.
=> (90/100)(110/100)x = 2178
=> x = (2178 * 100)/(9 * 11)
=> x = Rs. 2200.Answer: C | AquaRat_train |
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? | [
"5/29",
"5/27",
"5/22",
"5/21"
] | D | Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)
As remaining person can be any one among three couples left.
Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅
= (10 * 6)/252
= 5/21
Answer: A | AquaRat_train |
For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated? | [
"60%",
"29%",
"12%",
"26%"
] | D | In the first plot 20% of 300 seeds germinated, so 0.20 x 300 = 60 seeds germinated.
In the second plot, 35% of 200 seeds germinated, so 0.35 x 200 = 70 seeds germinated.
Since 60 + 70 = 130 seeds germinated out of a total of 300 + 200 = 500 seeds, the percent of seeds that germinated is (130/500) x 100%, or 26%.
Answer... | AquaRat_train |
There are two types of digestion, mechanical and what else? | [
"mineral",
"radiation",
"thermal",
"chemical"
] | D | Digestion consists of mechanical and chemical digestion. | SCiQ_train |
A box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective? | [
"32",
"34",
"40",
"42"
] | C | least number of cubes will be required when the cubes that could fit in are biggest.
9 is the biggest number that could divide all three, 36, 45 and 18.
Thus side of cube must be 9, and total number of cubes = 36/9 * 45/9*18/9 =40
Ans D. | AquaRat_train |
If q is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ? | [
"3",
"1",
"12",
"6"
] | A | Then the wordings of question are misleading. Moreover, it'd also be a bad way to convey q=4n, if it really wanted to convey so.
From other questions that I have seen, proper wordings could be:
If q is three times as large as n
OR simply,
If q is three times n=C | AquaRat_train |
John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 4 days before the work got over. In how many days did the work get over from the time John and Jane started to work on ... | [
"8",
"10",
"7.5",
"3.5"
] | B | John 6*20=120
Jane 10*12=120
In 4 days working alone John did: 4 Days * Rate = 4*6=24, so working together they did 120-24=96 --> Rate(A+B)*t=96 -> 16*t=96, t=6. hence the answer is B (John worked 4 days + 6 days they worked together = 10 days) | AquaRat_train |
It's Sunday morning. My parents, my uncle, my sisters and I are all at home.My father is sitting near the window. What is he doing? He is reading a newspaper. He wants to know what happens all over the world. My mother is watering the flowers in the small garden. There are some beautiful flowers in it. Some are red, an... | [
"four",
"five",
"six",
"seven"
] | C | MMLU_train | |
6 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work? | [
"22/2 days",
"82/8 days",
"6 days",
"12/9 days"
] | C | 6M = 6W ---- 20 days
12M + 8W -----?
12W + 8 W = 20W ---?
6W ---- 20 20 -----?
6 * 20 = 20 * x => x = 6 days
Answer:B | AquaRat_train |
"All I could see was two sets of red eyes below me," said Dave Gatty, an Australian farmer who spent seven days up a tree in remote bush land to escape crocodiles. Gatty, 52, said he was forced to take such drastic action after he accidentally went into a crocodile-infested area of Queensland. He only had two meat sand... | [
"panicked but optimistic",
"nervous and hopeless",
"upset and regretful",
"frightened but calm"
] | D | MMLU_train | |
What can cause light to bounce off an object? | [
"something painted black",
"surface with aluminium",
"water condensation",
"springs and coils"
] | B | MMLU_train | |
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? | [
"Rs.6500",
"Rs.6800",
"Rs.6400",
"Rs.6620"
] | D | A = 20000(11/10)3
= 26620
= 20000
----------
6620
ANSWER:A | AquaRat_train |
A is 20 percent more efficient than B. If the two person can complete a piece of work in 60 days.in how many days. A working alone can complete the work | [
"277",
"279",
"110",
"287"
] | C | As A is 20% more efficient than B, If B's per day work is 100 units then A's 120.
Both persons together completes (100 + 120) units = 220 units a day.
They took 60 days to complete the work. So total work = 60 x 220
If A alone set to complete the work, he takes = 60×220120=11060×220120=110 days
Answer:A | AquaRat_train |
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability J that a number picked up in first 90 positive integers will have the result of # as an odd digit ? | [
"(e) 5/9",
"(d) 6/10",
"(c) 1/2",
"(a) 4/10"
] | A | Here is how I did it. Probably there may be better way to do it.
First of all let us find out what is the maximum sum we will get by adding digits of numbers from 1 to 90.
That will be 17 (8+9+17) Why did I calculate this? I will come to that in a moment.
So to get an odd digit by carrying out the operation #, the sum ... | AquaRat_train |
Calculate the cost of j bottles of wine given that the cost of k bottles of said wine is c rupees? | [
"Rs.(c/k)",
"Rs.(jc/k)",
"Rs.(j*k)",
"Rs.(c*k)"
] | B | Cost of k bottles = Rs. c.
Cost of 1 bottle = Rs. c/k
Cost of j bottles = Rs.(c/k)* j= Rs.(jc/k)
Answer is E. | AquaRat_train |
You find a furry creature walking around. What feature would also describe this animal? | [
"dead, cold-blooded, and scaly",
"cold, cold-blooded, hungry, alive",
"horned, warm-blooded, hungry, alive",
"warm, warm-blooded, and also dead"
] | C | MMLU_train | |
Ram completes a piece of work in 15 days, Raja completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is? | [
"8.57 days",
"14 days",
"10 days",
"8 days"
] | A | If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 15 × 20/35 = 8.57 days
Answer : D | AquaRat_train |
If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 30 percent decrease in y would result in which of the following changes in z? | [
"decrease of 7.5%",
"increase of 24.5%",
"increase of 32.5%",
"decrease of 26.5%"
] | D | After the changes, z = 1.5x*(0.7y)^2 = (1.5*0.49)xy^2 = 0.735*z
The answer is B. | AquaRat_train |
If x and a are integers and (15^x + 15^(x+1))/4^a = 15^a what is the value of x? | [
"Cannot be determined",
"2",
"4",
"5"
] | B | \frac{15^x( 1+ 15)}{4^a} = 15^a
(15^x . 4^2 ) / 4^a = 15^a. 4^0
15^x . 4^(2-a) = 15^a. 4^0
Equating the powers, x = a; 2-a = 0; So x = a = 2=A | AquaRat_train |
A train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. What is the speed of the train is? | [
"40 kmph",
"34 kmph",
"43 kmph",
"76 kmph"
] | A | S = (100 + 300)/36
= 400/36 * 18/5
= 40
Answer:E | AquaRat_train |
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 50,000 as total savings, how much has he saved in Public Provident Fund ? | [
"Rs. 30,000",
"None",
"Rs. 20,000",
"Rs. 90,000"
] | C | EXPLANATION
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (50000 – x) respectively. Then,
1/3x=1/2(50000-x)
=> x/3 + x/2 = 25000
=> 5x/6 = 25000
=> x= 25000 x 6 /5= 30000
Savings in Public Provident Fund = Rs. (50000 – 30000) = Rs. 20000
Answer A | AquaRat_train |
On thrusday mabel handled 90 transactions. anthony handled 10 % more transaction than mabel, cal handled 2/3rds of the transactions that anthony handled and jade handled 16 more transaction than cal. how much transaction did jade handled? | [
"28",
"82",
"72",
"92"
] | B | Mabel handled 90 transaction, anthony 10 % more transaction the mabel. anthony = 90+90 * 10%, = 90 + 90 * 0.10 , = 90 + 9, =99, cal handled 2/3rds than anthony handled, cal = 2/3 * 99=66, jade handled 16 more than cal. jade = 66 + 16= 82, jade handled = 82 tranasactions.
correct answer: (D) | AquaRat_train |
If S=x^4 + y^4 = 100, then the greatest possible value of x is between | [
"9 and 12",
"0 and 3",
"3 and 6",
"12 and 15"
] | C | My attempt:
If S=x^4+y^4=100, then the greatest possible value of x would be when y is minimum.
Let y^4 be 0. Now x^4 = 100. x should be definitely greater than 3 but less than 4. The only option that fits this range is B
Hence answer is --
b) 3 and 6. | AquaRat_train |
What is involved in creating genetically modified bacteria? | [
"allowing them to reproduce freely",
"changing their food source",
"using biotechnology techniques",
"growing them on selected plants"
] | C | MMLU_train | |
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 24k bottles? | [
"48",
"42",
"45",
"96"
] | D | x rate = k/6
y rate = k/12
k/6 + k/12 = 24k / T
solving T = 96
Answer E | AquaRat_train |
The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. % of students who are not scholarship holders.? | [
"84%",
"82%",
"86%",
"88%"
] | A | let the boys are 3x and girls are 2x
so,no.of boys not holding scholorship is 3x-(30x/100)=27x/10
and no.of girls not holding scholorship is 2x-(50x/100)=3x/2
the total is (27x/10)+(3x/2)=42x/10
% of students not scholorship holders are (42x/10)*100/5x=84%
ANSWER:A | AquaRat_train |
Back those photos up The images were striking. Homes on the East Coast were washed away by Superstorm Sandy. People were in tears, picking up faded photographs, among their only remaining possessions. If that doesn't move you to get serious about safekeeping your lifetime of memories, what will? The digital age offers ... | [
"tell real stories about storage services",
"introduce some of the storage services",
"describe the functions of storage services",
"argue about the advantage of storage services"
] | B | MMLU_train | |
If 213 × 16 = 3408, then 1.6 × 2.13 is equal to : | [
"0.3408",
"34.08",
"3.408",
"340.8"
] | C | Solution
1.6 × 2.13 = (16/10x 213/100)= (16x 213/1000) = 3408/100 = 3.408. Answer B | AquaRat_train |
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount R in 1996 as they paid in 1995? | [
"40%",
"100%",
"66 2⁄3%",
"33 1⁄3%"
] | D | water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount R in 1996 as they paid in 1995, water use should decrease in the same ratio
150-> 100 means 1/3 rd= 33(1/3) %.A | AquaRat_train |
If 8 workers can build 8 cars in 8 days, then how many days would it take 7 workers to build 7 cars? | [
"12",
"4",
"8",
"7"
] | C | 8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
7 workers can build 7/8 car per day.
The time required to build 7 cars is 7 / (7/8) = 8 days
The answer is C. | AquaRat_train |
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? | [
"2277",
"2999",
"9680",
"2774"
] | C | (8000*3*2)/100 = 480
9200
--------
9680
Answer:A | AquaRat_train |
A train 605 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? | [
"12",
"16",
"33",
"81"
] | C | Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 605 * 3/55 = 33 sec.
Answer: C | AquaRat_train |
A milk seller has certain quantity of milk to sell. In what ratio, should he mix water to gain 5% by selling the mixture at the cost price ? | [
"None of these",
"1:5",
"1:15",
"1:20"
] | D | Let Cost price of 100 g milk was Rs. 100.
x +5% of x = 100
x + 0.05x = 100
1.05x = 100
x = 100/1.05 = 95.23
Water = 100 - 95.23 = 4.76
Ratio of water and Milk = 4.76 /95.23 = 1/20 = 1 : 20.
ANSWER : C | AquaRat_train |
In the geologic past, abiotic factors such as volcanic eruptions have had an impact on the availability of resources. How can volcanic eruptions impact the availability of resources? | [
"by decreasing the thickness of soil",
"by causing more heavy rains to erode topsoil",
"by disrupting the sunlight from reaching producers",
"by causing the surface of Earth to be warmer than usual"
] | C | MMLU_train | |
A train running at 1/2 of its own speed reached a place in 8 hours. How much time could be saved if the train would have run at its own speed? | [
"15hrs",
"10hrs",
"4 hrs",
"6hrs"
] | C | time taken if run its own speed = 1/2*8 =4 hrs
Time saved = 8 - 4 = 4 hrs
Answer : C | AquaRat_train |
What is the probability of getting exactly 4 heads in a single throw of five fair coins? | [
"3/8",
"7/32",
"5/32",
"3/16"
] | C | One possible case is HHHHT.
P(HHHHT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C4 = 5 possible cases.
P(4 heads) = 5*1/32 = 5/32
The answer is D. | AquaRat_train |
0, 1, 5, 14, 30, ____ | [
"35",
"55",
"45",
"25"
] | B | 0,1,5, 14, 30,.....
0+1*1=1
1+2*2=5
5+3*3=14
14+4*4=30
So 30+5*5=55
ANSWER:E | AquaRat_train |
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube? | [
"66",
"18",
"77",
"28"
] | B | 93 + 123 + 153 = a3 => a
= 18
Answer: D | AquaRat_train |
Data indicate that chemical pollutants contaminate 53% of the waterways that empty into the Chesapeake Bay. These chemical pollutants are found in the tissues of animals living in the bay. Which group of people who live away from the bay might be most affected by these chemical pollutants? | [
"people who walk near the bay",
"people who read books about the bay",
"people who consume fish from the bay",
"people who own boats docked in the bay"
] | C | ai2_arc_train | |
Two trains of length 200 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? | [
"24 sec",
"20 sec",
"22 sec",
"76 sec"
] | A | Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 200 + 280 = 480 m.
The time required = d/s = 480/20 = 24 sec.
Answer:E | AquaRat_train |
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? | [
"06",
"10",
"09",
"05"
] | B | Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer:B | AquaRat_train |
The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 6:4. As a result of the gift, Kaye had how many more stamps than Alberto? | [
"65",
"85",
"50",
"80"
] | D | C
K1 = 5x
A1 = 3x
K2 = 5x - 10
A2 = 3x + 10
K2/A2 = 6/4
(5x-10)/(3x+10) = 6/4
4*(5x-10) =6*(3x+10)
20x - 40 = 18x + 60
2x = 100
x = 50
K2 = 5*50 - 10 = 240
A2 = 3*50 + 10 = 160
K2 - A2 = 80
Answer : A | AquaRat_train |
The G.C.D. of 1.08, 0.35 and 0.9 is: | [
"0.01",
"0.108",
"0.9",
"None"
] | A | EXPLANATION
Given numbers are 1.08, 0.35 and 0.90. H.C.F. of 108, 35 and 90 is 1,
H.C.F. of given numbers = 0.01.
Answer A | AquaRat_train |
Metabolism is an emergent property of life that arises from orderly interactions between what? | [
"tissues",
"molecules",
"body systems",
"nutrients"
] | B | SCiQ_train | |
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction W of the cookies that were placed in the other tins were placed in the green tin? | [
"9/4",
"7/5",
"5/9",
"9/7"
] | C | Blue tin or red tin: 2/3 (N)
Red tin: (1/3)N
Blue tin: (1/4)N
What the last statment meant, is it wants this fraction: (# of cookies in green tin)/(# of cookies in red and green tin)
# of cookies in green tin = 2N/3 - N/4 = 8N- 3N/12 = 5N/12
# of cookies in red and green tin = N/3 + 5N/12 = 9N/12
Fraction W= 5N/12 * 12... | AquaRat_train |
The Internationa1 Space Station allows astronauts to live in space for extended amounts of time, enabling them to explore the outside universe and conduct many experiments. However, nothing like that exists for our oceans, and thanks to the high water pressure, ocean researchers are able to explore what lies undersea f... | [
"To find supply for food in the future.",
"To find supply for medicine in the future.",
"To draw governments' attention to the construction of the ship.",
"To solve the global warming."
] | C | MMLU_train | |
If a person forgets names, places or facts --and has trouble with everyday things like reading or shopping --it may not mean you are getting old. It could be Alzheimer's disease. So it's important to see a doctor as soon as you can. There is no cure for Alzheimer's. But a drug called ARICEPT has been used by millions o... | [
"A medicine to cure Alzheimer's",
"A medicine to delay signs of aging.",
"A medicine to reduce the symptoms of Alzheimer's.",
"A medicine to cure brain damage."
] | C | MMLU_train | |
How many number are immediately preceded and immediately followed by different numbers?
7 7 7 5 7 5 7 5 7 7 7 7 5 7 5 7 5 7 7 7 7 7 5 7 5 | [
"2",
"5",
"4",
"1"
] | B | five
ANSWER:D | AquaRat_train |
A furniture manufacturer has two machines, but only one can be used at a time. Machine Q is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine Q can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts... | [
"9",
"14",
"11",
"7"
] | A | machine Q finish the job in 2*12 shifts = 24 shifts
machine B finish the job in 2*15 shifts = 30 shifts
Lets assume total work require 120 shifts
Therefore,
rate of Q = 5 shifts/day
rate of B = 4 shifts/day
rate of (Q+B) = 9 shifts/day
According to current schedule work complete in a day = 5+4+(9/2) =13.5 shifts/day
Th... | AquaRat_train |
If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+69)=? | [
"3375",
"3675",
"3275",
"3475"
] | B | Explanation :
To solve this use the formula of AP,
Sn= (n/2)(a+l) ................(1)
To find n, use
=> Tn= a+(n-1)d
=> 69=1+(n-1)2
=> n=35
Use value of n in (1)
then,
Sn = (35/2)(1+69) = 1225
Ans:- 3(Sn) = 3675
Answer : A | AquaRat_train |
If 60 percent of the members of a certain organization are women and 6/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number ... | [
"II, III",
"II",
"III",
"I, II"
] | D | 6/10 (60%) of the members are women and 6/8 of the members are married men. Let the total numbers of members is 80 (the LCM of 10 and 8). Then there are:
6/10*80 = 48 women;
80 - 48= 32 men;
6/8*32 = 24 married men;
32 - 24 = 8 unmarried men.
So, option I,II is true.
Answer: C | AquaRat_train |
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? | [
"25",
"20",
"30",
"5"
] | B | Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, ... | AquaRat_train |
Some problems are difficult to solve.But there are a lot of number expressions that can help.For example, if we put two and two together , we might com e up with the right answer.We know that two heads are better than one.It is always better to workwith another person to solve a problem.Some problems have only one solu... | [
"Interesting Number Expressions",
"The Importance of Numbers",
"Number Stories",
"Use Numbers"
] | A | MMLU_train | |
If the average (arithmetic mean) of 102 consecutive odd integers is 414, then the least of these integers is | [
"b) 289",
"d) 313",
"a) 160",
"e) 525"
] | B | A very helpful rule to know in arithmetic is the rule that in evenly spaced sets, average = median. Because the average will equal the median in these sets, then we quickly know that the median of this set of consecutive odd integer numbers is 414.
There are 102 numbers in the set, and in a set with an even number of t... | AquaRat_train |
Which part of a bicycle BEST moves in a circle? | [
"Seat",
"Frame",
"Foot pedal",
"Kickstand"
] | C | MMLU_train | |
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000? | [
"2888",
"2776",
"2997",
"6620"
] | D | A = 20000(11/10)3
= 26620
= 20000
----------
6620.Answer: A | AquaRat_train |
Three interviewers, A, B, and C are interviewing 50 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 20 applicants, B admitted 22 applicants, and C admitted 20 applicants, at least how many applicants get the admission? | [
"4",
"0",
"12",
"6"
] | B | If A admitted 20 are overlapping with B admission of 22 But C does not overlap with anybody.
Then no student will get nod from all the 3.
Hence 0 student will get admission.
Answer : B | AquaRat_train |
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long? | [
"250 sec",
"89 sec",
"150 sec",
"100 sec"
] | B | Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec
ANSWER:B | AquaRat_train |
An amount of Rs.20,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P? | [
"6971",
"2378",
"2697",
"5000"
] | D | Explanation:
We have, P = 2Q & S = 4R
Further Q = R & P + Q + R + S = 20,000
Thus we get, 2Q + Q + Q + 4Q = 20,000
8Q = 20,000 or Q = Rs. 2500
Thus, R = Rs. 2500, P = 5000 & S = Rs. 10000
Hence, the required difference = (S – P) = (10000 – 5000) = Rs. 5000
ANSWER:D | AquaRat_train |
Which of the following is closest to (-7/8)^199？ | [
"2",
"0",
"1",
"-1"
] | B | (-7/8)^4 = 2401/4096 which is already less than 2/3.
For larger exponents, the expression will get closer and closer to zero.
The answer is C. | AquaRat_train |
Early to bed, early to rise, makes a man healthy, wealthy and wise. This is an old English saying. Do you know it before? It says that we must go to bed early and get up early in the morning. Then we should be healthy. We should also be rich (wealthy) and clever (wise). This is true. The body must have enough sleep to ... | [
"body",
"blood",
"children",
"head"
] | B | MMLU_train | |
The atoms of a compound are held together by what type of bonds? | [
"radiation",
"chemical",
"mineral",
"covalent"
] | B | The atoms of a compound are held together by chemical bonds. Chemical bonds form when atoms share electrons. There are different types of chemical bonds, and they vary in how strongly they hold together the atoms of a compound. Two of the strongest types of bonds are covalent and ionic bonds. Covalent bonds form betwee... | SCiQ_train |
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is? | [
"52",
"35",
"16",
"40"
] | B | Excluded number = 27*5-25*4 = 135-100 = 35
Answer is A | AquaRat_train |
A man swims downstream 24 km and upstream 12 km taking 6 hours each time, what is the speed of the man in still water? | [
"5",
"10",
"3",
"8"
] | C | 24 --- 6 DS = 4
? ---- 1
12 ---- 6 US = 2
? ---- 1 M = ?
M = (4+2)/2 = 3
Answer: E | AquaRat_train |
Find the area of a parallelogram with base 24 cm and height 16 cm? | [
"287 cm2",
"887 cm2",
"668 cm2",
"384 cm2"
] | D | Area of a parallelogram = base * height
= 24 * 16
= 384 cm2
Answer: C | AquaRat_train |
Find the sum The difference between the compound and S.I. on a certain sum of money for 5 years at 20% per annum is Rs.75 of money? | [
"1489",
"2598",
"1875",
"6845"
] | C | P = 75(100/20)5 => P = 1875
Answer: D | AquaRat_train |
During winter, the white fur of an arctic fox blends in with the snow. This adaptation is called | [
"hibernation",
"migration",
"camouflage",
"movement"
] | C | MMLU_train | |
What is the solution of the equations x - y = 0.08 and 1(x + y)-1 = 2 ? | [
"None",
"x = 2, y = 1.1",
"x = 0.065, y = 0.735",
"x = 3.2, y = 2.3"
] | C | Answer
x - y = 0.8 ...(i)
and 1(x + y)-1=2
⇒ 1/ (x + y) = 2
⇒ 2(x + y) =1
⇒ x + y = 1/2 ...(ii)
On solving Eqs.(i) and (ii),we get
x = 0.065
and y = 0.735
Correct Option: D | AquaRat_train |
If you've ever seen the way dog people interacted with their pets, it comes as no surprise that there's some germ-exchanging going on there. A new study indicates that dog ownership specifically may be one of the biggest single contributors to what kinds of microbes live on your skin. A team of researchers led by Se Ji... | [
"varieties of swabs from members of 60 family households.",
"families with children or households pets.",
"families without children or households pets.",
"dogs being the only pets in the households."
] | D | MMLU_train | |
What is the most common element found in the compounds that make up ocean water? | [
"nitrogen",
"oxygen",
"carbon",
"silicon"
] | B | MMLU_train | |
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 4 days. In how many days can they complete the remaining work? | [
"6 days",
"9 days",
"2/3 days",
"8 days"
] | C | Work done by A in 4 days = 4/5
Remaining work = 1/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 1/5 * 10/3 = 2/3 days.
Answer: B | AquaRat_train |
How does the nucleus divide during nuclear fission? | [
"asymmetrically",
"evenly",
"biochemically",
"equally"
] | A | Collision of a relatively slow-moving neutron with a fissile nucleus can split it into two smaller nuclei with the same or different masses. Neutrons are also released in the process, along with a great deal of energy. Any isotope that can undergo a nuclear fission reaction when bombarded with neutrons is called a fiss... | SCiQ_train |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 2