question stringlengths 1 5.05k | choices sequencelengths 3 5 | answer stringclasses 4
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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 areas. They are social animals, living in groups of usually from 2 to 45 individuals. A hierarchy exists within the group, but the animals are friendly to one another. The young and the infirm are given special privileges within the group. African wild dogs use their sense of sight, not smell, to find their prey. They can run up to 55 km/h for several kilometers. In eastern Africa, they mostly hunt Thomson's gazelles, but they will also attack calves, warthogs, zebras, impalas, and the young of large antelopes such as the gnu. Growing human populations have decreased or degraded the African wild dog's habitat and also diminished their available prey. Road kill and human persecution have also had a negative impact on African wild dog populations. This species is also _ to a variety of diseases such as distemper, which is controlled in domestic .dogs. Conservation of the African wild dog's natural habitat must have the highest priority, as these dogs suffer in habitats modified by human intrusion . From the passage we can conclude that _ . | [
"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 live there. Students carry their own things, which includes sleeping bags, warm clothing, food and water, and other useful tools. And what do the students do all day? Well, as soon as the sun comes up, they eat breakfast and start climbing up the mountain trail to the next campground, which is five to ten miles away. As the students take notes, the guide points out different plants and animals alongside the trail. The climb is usually over by early afternoon, so the group spends the rest of the day resting or swimming in a mountain lake. Before dinner each night, they all come together and discuss the day's activities. At the end of the course, the students write reports using the information they have collected. But they don't mind at all. What they do mind is leaving the beauty of the wilderness and the good friends they've made to return to their normal lives in the city. What do the students have to do before dinner? | [
"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, many space foods are dried on Earth and stored in special packets. Some taste good right out of the packet. On earth, gravity is the force that keeps your feet on the ground and your sandwich on your plate. But there's no gravity in space. To keep food from floating away, astronauts on the Space Shuttle attach the packets to a special tray. The tray can be fixed to a wall or to the astronaut's lap. To prepare their food, astronauts use liquid forms of salt and pepper. The liquid sticks to the food better. Regular salt and pepper would float away, maybe up an astronaut's nose. Liquids float right out of cups and glasses, though. So astronauts drink everything from a small bag with a straw that can be closed. Astronauts say that most space foods taste pretty good. Some, such as apples and pudding, are the same as the foods you eat on Earth. Astronauts eat tortillas instead of bread because they make fewer crumbs . Floating crumbs could get stuck in equipment or an astronaut's eye. Your body used food in space the same way it does on Earth. Your body must deal with waste in space too. During takeoff the landing, astronauts can't leave their seats to go to the bathroom. They wear diapers under their spacesuits instead. The Space Shuttle has a bathroom the size of a small closet. The toilet has bars that keep astronauts from floating away. A strong flow of air is used instead of water to flush waste down the toilet. Back on Earth it's flushed away-or sometimes studied by scientists. Why do astronauts use liquid forms of salt and pepper to prepare food? | [
"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 the water temperature was a little higher. The members of the Polar Bear Club at Coney Island, New York are usually about the age of 60. Members must satisfy two requirements. First, they must get along well with everyone else in the group; this is very important because there are so many different kinds of people in the club. Polar Bears must also agree to swim outdoors at least twice a month from November through February. Doctors don't agree about the medical effects of cold-water swimming. Some are worried about the dangers of a condition in which the body's temperature drops so slow that finally the heart stops. Other doctors, however, point out that there is more danger of a heart attack during summer swimming because the difference between the air temperature and the water tempreature is much greater in summer than in winter. The Polar Bears themselves are satisfied with the benefits of cold-water swimming. They say that their favorite form of exercise is very good for the circulatory system because it forces the blood to move fast to keep the body warm. Cold-water swimmers usually turn bright red after a few minutes in the water. A person who turns blue probably has a very poor circulatory system and could not try cold-water swimming. The main benefits of cold-water swimming are probably mental. The Polar Bears love to swim all the year round; they find it fun and relaxing. As one 70-year-old woman says, "When I go into the water, I pour my troubles into the ocean and let them float away." According to the passage, some doctors believe it is true that _ . | [
"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 also preserves the resources for future generations. | 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:9:00 a.m. ~ 8:30p.m. Phone: (412) 396-6754 Fax: (412) 396-6752 Sailing Club: Our Young Sailor's Course leads to the Stage Sailing qualification. You'll learn how to sail safely and the course also covers sailing theory and first aid. Have fun with other course members afterwards in the clubroom. There are 10 weekly two-hour lessons (Tuesdays 6p.m.~ 8p.m.) Opening Hours: Tuesdays: 6:00p.m.~ 8:00p.m Phone:( 412)396-6644 Fax: (412) 396-6644 Diving Centre: Our experienced instructors offer one-month courses in deep-sea diving for beginners. There are two evening lessons a week, in which you learn to breathe underwater and use the equipment safely. You only need a swimming costume and towel. Reduced rates for couples. Opening Hours: Monday and Friday: 6:30p.m.~ 8:30p.m Phone: (412)396-6312 Fax: (412) 396-6706 Medical Center: The staff of the Medical Center aim to provide convenient and comprehensive medical care to students and staff of the university. The center is well equipped and the staff here are trained to deal with a broad range of medical problems. Both female and male doctors as well as nursing staff are available for consultation. Also, all kinds of medicines are sold here and are cheaper for students than other drugstores. Opening Hours: 24 hours from Monday to Sunday Phone: ( 412)396-6649 Fax: (412) 396-6648 Watersports club: We use a two-kilometre length of river for speedboat racing, and water-skiing. A beginners' course consists of ten 20-minute lessons. You will learn to handle boats safely and confidently but must be able to swim. The club is in a convenient central position and is open daily from 9 a.m. to 4 p.m., with lessons all through the day. Opening Hours: Monday through Friday: 9:00a.m.~ 4:00p.m Phone: (412)396-6899 Fax: (412) 396-6890 If you want to swim and enjoy activities which are fast and a bit dangerous, you should join _ . | [
"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 its range is 19-2=17;
ANSWER:C | 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' moonlighting, while strict regulations should be applied to doctors taking part-time jobs, the Xinhua News Agency reported. Last year, the Ministry sent out a notice to a variety of health organizations to speed up the reform of their personnel system. According to the notice, medical organizations can hire medical experts as part-time doctors but such activities should take place under the hospital's management and regulations . As for moonlighting--meaning that the doctor provides medical service without the permission of the original hospital--such activity goes against China's Practicing Doctor Law, Xinhua reported. In China, doctors used to be controlled by hospitals and they could work for only one hospital. However, as China's medical personnel system reform developed, it has been recognized that medical human resources, just like human resources in other areas, should be shared by the whole society. But on the other hand, doctors' taking part-time jobs should follow the relative regulations applied in the medical field. First of all, they should follow relative government laws and regulations. They should also follow the rules and regulations set by the medical organizations they work for. In addition, they should pay taxes for their income from the part-time jobs. What matters most is that they should first finish their regular jobs as required and be responsible for patients to ensure qualified and safe medical treatment. From this passage we know that doctors are allowed to _ nowadays. | [
"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 the pressure inside the canister doubles. As you might imagine, if more and more air is continually added to a rigid container, it may eventually burst. Reducing the number of molecules in a rigid container has the opposite effect and the pressure decreases. | 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: B. | 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 it together? | [
"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, and the others are yellow. They look nice. My uncle is my mother's brother. He is a worker. He is watching TV now. He is a basketball fan . And he is good at playing basketball. Now he is watching NBA on TV. Where are my sisters? Lily is over there, and she is listening to the radio . She likes popular music very much. Lucy is in her room. She has a computer. Now she is surfing the Internet. She is writing an e-mail to her friend. What am I doing? I am doing my homework. There are _ people in the family. . | [
"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 sandwiches to keep him going, as crocodiles moved beneath his tree each night until his rescue. Gatty said he decided it was safer to hold out for a rescue team than try to make a run for it. His problems began after he fell off his horse while out in the northern Australia outback. Dazed and bleeding, he climbed back on his horse and hoped it would lead him home. It was only when he regained his senses he realized that he had been taken into crocodile-infested area. "I had to get off the horse and I fell straight into a crocodile nest," he told reporters. "That frightened me. I couldn't go back, it was too far and too dangerous, so I headed to the nearest high ground and stayed there, hoping someone would come and find me before the crocs did." Gatty explained how each night two crocodiles would sit at the bottom of the tree staring at him. Although Gatty's two sandwiches ran out after three days, he was able to get running water during the day and knew rescuers were looking for him as he could see helicopters in the air above his tree. "If I hadn't seen the crocs circling me, and if I hadn't fallen into the croc nest, I would have made a push for it. But I knew the safest thing was for me to sit and wait," he said. A chocolate bar, given to him by rescuers after being moved to safety by using a winch , "was like a gourmet (delicious)meal," he said. Gaddy felt _ when he found himself trapped in the crocodile- infested area. | [
"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 of the digits of the integer should be 1, 3, 5, 7, 9, 10, 12, 14, and 16 (Why not 18? Because we know the maximum sum can be 17)
Number of integers, whose digits add to 1: 1 and 10 = 2
Number of integers, whose digits add to 3: 3, 12, 21, 30 = 4
Number of integers, whose digits add to 5: 5, 14, 23, 32, 41, 50 = 6
Number of integers, whose digits add to 7: 7, 16, 25, 34, 43, 52, 61, 70 = 8
Number of integers, whose digits add to 9: 10 multiples of 9 up to 90 = 10
Number of integers, whose digits add to 10: 19, 28, 37, 46, 55, 64, 73, 82 = 8
Number of integers, whose digits add to 12: 39, 48, 57, 66, 75, 84 = 6
Number of integers, whose digits add to 14: 59, 68, 77, 86 = 4
Number of integers, whose digits add to 16: 79, 88 = 2
So in total there are 2+4+6+8+10+8+6+4+2 = 50 such numbers
Probability J= 50/90 = 5/9
Correct answer E | 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 tools never imaginable before--including one-click access to a lifetime of family photos. Here is a brochure on how to back up your photos and save them online, where they can live forever and be accessible in good times and bad. Scanning The first step for those old photos is to scan them and save them to a digital format. Most printers come with scanners these days, so that's an easy but extremely time-consuming step. Storing the photos With your scans in place, import the photos into your computer, and back them up. You could make multiple copies of the disks and spread them to loved ones. Or you could choose external hard drives or USB thumb drive, and add your photo and video collection from your computer. Online backup If you need lots of space, look at a pure online backup service, Caronite. Caronite backs up 300 million files daily. Once you sign up, it starts to pick up everything you have on your hard drive. But photo collection on your computer's main hard drive charges for $59 a year. Cloud Storage For folks who don't need automatic backup, but instead want to take a more active approach, Dropbox, Google Drive and Microsoft's SkyDrive let you store files online by yourself, share and instantly access them. All offer free options--2GB of free storage for Dropbox, 5GB for Google and 7GB for SkyDrive. But if you want more, you need to pay. Bottom Line The hard drive or flash drive is the cheapest and easiest. But drives can fail. Online services are more expensive, but more secure. With more of us switching back and forth between our computers, such services are the best way to get access to our data from wherever we are. What's the passage mainly about ? | [
"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 * 12/9N = 5/9 (C) | 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 for very short periods of time. They are therefore never able to fully explore the deep inside areas of our oceans. However, if French architect Jacques Rougerie has his way, that will change soon. Jacques has designed a ship that will allow researchers to spend a long period of time observing the sea life and conducting experiments. The huge l67ft. ship, named 'Sea Orbiter', consists of two areas--one above the water where the scientists and crew will live, and a lower pressurized deck , where scientists will be able to spend as much time as they wish. Since it is powered by sea currents and wind, he expects it to drift along the oceans slowly, taking about two years to _ the globe. Jacques will make their life as comfortable as possible in the ship. Besides being equipped with the latest sailing tools and communication equipment, the ship will also have a gym, a television and a DVD player! And these guys will not be eating freeze-dried food like astronauts. Instead, Jacques, an accomplished chef, plans on cooking them delicious meals every day. The biggest problem to this giant ship is the cost, which is expected to be over $500 million--per ship! However, Jacques, who strongly believes that the secrets of our oceans may be the key to solving global warming and a vital supply for food and medicine in the future, is confident he will be able to convince governments all over the world to help out, and expects to start construction on not one, but four or five of these amazing ships soon! In Jacques' opinion, which of the following is not the purpose of the undersea research? | [
"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 of people to help their symptoms . In studies, ARICEPT has been proved to work for Alzheimer's . It has helped people improve their memory over time. It has also helped them to keep doing everyday things on their own. Ask your doctor if ARICEPT is right for you or your loved one. It is the Number One drug for Alzheimer's in the world. The sooner you know it's Alzheimer's, the better ARICEPT can help . ARICEPT is good for many but may not be good for everyone. Some people may experience not sleeping well, feeling very tired, or not wanting to eat. In studies, these side effects weren't serious at all and went away over time. Some people taking ARICEPT may feel light-headed. In this case you should tell your doctors because your condition may get worse. What is ARICEPT? | [
"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, how many days will it take to do the job with the current work schedule? | [
"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
Therefore, Time required to finish 120 shifts = (120/13.5) = 8.88.. days ~ 9 days=D | 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 of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization. | [
"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, there are 4 ways of filling it.
Required number of numbers = (1 x 5 x 4) = 20.
ANSWER C | 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 solution.You cannot be of two minds over this.But with any luck , we can solve the problem in two shakes of a lamb' s tail.In other words, we could have our answers quickly and easily. Sometimes we can kill two birds with one stone.That is , we can complete two goals with only one effort or action.But we must remember that two wrongs don' t make a right.If someone does something bad to you, you should not do the same to him. If you are going out with your girlfriend , or boyfriend , but you don' t want another friend to go a long on your date, you can just say to your friend : two' s company , three' s a crowd. When I was a young child in school , I had to learn the three R' s.These important skills are reading , writing and arithmetic.These three words do not all start with the letter " R".But they have the sound of " R".My teacher used to give three cheers when I did well in maths.They gave praise and approval for a job well done. Some of my friends were confused and did not understand their school work.They were at sixes and sevens.In fact , they did not care if they finished high school.But they were happy when they completed their studies and graduated from high school.They were in seventh heaven.They were on cloud nine.Nine times out of ten students who do we'll in school find good jobs.Some work in an office doing the same things every day at nine-to-five jobs.You do not have to dress to the nines , or wear your best clothes , for this kind of work. What is the best title of the passage ? | [
"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 terms the median is just the average of the two most median terms (here the 51st and 52nd numbers in the set). This means that numbers 51 and 52 in this set are 413 and 415. Because we know that number 51 is 413, we know that the smallest number is 50 odd numbers below this, which means that it is 50*2 = 100 below this (every odd number is every other number). Therefore 413-100 = 313, answer choice D | 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 be healthy. Children of a young age should have ten hours' sleep every night. Children who don't have enough sleep can't do their work very well. They will not be wise and they may not become wealthy! The body also needs exercise. Walking, running, jumping, swimming and playing games are all exercise. Exercise keeps the body strong. Exercise also keeps the blood moving around inside the body. This is very important. Our blood takes food to all parts of our body. The head also needs blood. Exercise helps us to think better! Exercise makes the _ move quickly and smoothly. | [
"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 between atoms that have little if any difference in electronegativity, and result when atoms share electrons. Electronegativity is the power of an atom to attract electrons toward itself. Ionic bonds , in contrast, form between atoms that are significantly different in electronegativity. An ion is an atom that has gained or lost at least one electron. Ionic bonds form between ions of opposite charges. | 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 Jin Song at the University of Colorado, Boulder, took swabs of the tongues, palms, forehead and feces of members of 60 family households. Some of the families had children or household pets and some did not; dogs were the only pets swabbed. Researchers then analyzed the DNA of the bacteria they found to determine how diverse the bacteria populations were. Not surprisingly, family members who lived together had more bacteria in common than members of separate households. Bacteria on the skin were especially similar within households, probably because we pass microbes through the air, through direct contact, and via the surfaces we touch. The most surprising finding, however, was the large bacteria contribution Fidonad made. The skin bacteria of dog owners from different households was almost as similar as if they'd cohabited without a dog. Put another way, you and a friend across town who both own dogs share a skin ecosystem as alike as a married couple does. The reason for this appears to be that dogs harbor some kinds of bacteria that are rare on human skin. One in particular, a family of bacteria called Methylophilaceae, was abundant in the mouths of dogs sampled as well as the skin of their owners--indicating "a common occurrence of oral-skin transfer between dogs and their owners," according to the results published in the journal eLife. The research took the following factors into consideration EXCEPT _ | [
"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 fissile isotope. During nuclear fission, the nucleus usually divides asymmetrically rather than into two equal parts, as shown in Figure 20.7 "Neutron-Induced Nuclear Fission". Moreover, every fission event of a given nuclide does not give the same products; more than 50 different fission modes have been identified for uranium235, for example. Consequently, nuclear fission of a fissile nuclide can never be described by a single equation. Instead, as shown in Figure 20.8 "Mass Distribution of Nuclear Fission Products of ", a distribution of many pairs of fission products with different yields is obtained, but the mass ratio of each pair of fission products produced by a single fission event is always roughly 3:2. Figure 20.8 Mass Distribution of Nuclear Fission Products of 235U. | SCiQ_train |
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