question stringlengths 1 5.01k | choices listlengths 4 4 | answer stringclasses 4
values | support stringlengths 0 3.68k | source stringclasses 3
values |
|---|---|---|---|---|
5 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half? | [
"21/24",
"3/24",
"18/24",
"9/120"
] | D | Originally seated A B C D
now when after they get up and when they sit back again .
1st- A has option to sit on 3 seats ( apart from his previous seat . thus he now sits on B's seat.)
2nd- Similarly B has option to sit on 3 seats ( because A has already occupied B's previous seat, thus B sits on a's seat.)
3rd- Now C h... | AquaRat_train |
The computer is a useful machine. It is the most important invention in many years. The oldest kind of computer is the abacus , used in China centuries ago, but the first large, modern computer was built in 1946. A computer then could do maths problems quite fast. Today computers are used in many ways and can do many k... | [
"helpful",
"strange",
"large",
"dangerous"
] | A | MMLU_train | |
A rabbit is running into its hole. You may ask, "What happened?" Well, when a rabbit sees something dangerous, it runs away. Its tail moves up and down as it runs. When other rabbits see this tail moving up and down, they run too. They know that there is danger. The rabbit has told them something without making a sound... | [
"by giving signals",
"by making different sounds",
"by purring",
"by barking"
] | B | MMLU_train | |
What are color and hardness physical properties of? | [
"ions",
"elements",
"matter",
"cells"
] | C | A: You can see that snow and sand have a different color. You can also feel that snow is softer than sand. Both color and hardness are physical properties of matter. | SCiQ_train |
Pujara has a certain average of runs for his 8 matches in Border Gavaskar Trophy. In the ninth match he scores 100 runs and thereby increases his average by 9 runs. His new average of runs is: | [
"30",
"32",
"31",
"28"
] | D | let his average run in 8 matches be x
total runs for 8 matches = 8x
total runs for 9 matches = 8x+100
average runs for 9 matches = (8x+100)/9
(8x+100)/9 = x + 9
8x+100 = 9x + 81
x= 19
new average = 19+9 = 28
ANSWER:A | AquaRat_train |
What is stored and concentrated in the gallbladder? | [
"insulin",
"calcium",
"bile",
"oxygen"
] | C | SCiQ_train | |
Movie World Movie world is the only movie-related theme park in Australia. With one of the best coast and a good handful of movie-related rides, you'll experience a fun-filled adventure with the glamour of Hollywood. Get "behind the scenes" movie information and stunt shows to keep the whole family entertained for th... | [
"$32",
"$47",
"$15",
"$30"
] | A | MMLU_train | |
If a lies in the range (-2,1) then which of the following statements must be true? | [
"a > a^2 > a^3 > a^4",
"a^4 > a^2 > a^3 >a",
"a^4 >a^3 > a^2 > a",
"a^2 > a^4 > a^3 >a"
] | D | consider any number from the given range (-2-1)..let a=-1/2
then a^2= 1/4
a^3=-1/8
a^4=1/16
so we have a^2>a^4>a^3>a
Ans D | AquaRat_train |
What kind of bees are most adult bees in a hive? | [
"worker bees",
"larvae",
"drones",
"queens"
] | A | Most of the adult bees in a colony are workers. They cooperate to build the hive, collect food, and care for the young. Each worker has a specific task to perform, depending on its age. Young worker bees clean the hive and feed the offspring. Older worker bees build the waxy honeycomb or guard the hive. The oldest work... | SCiQ_train |
Every time you turn on the television or take a ride in a car ,you could be adding to a problem called acid rain . In this article, you'll learn how acid is created, and how it affects us, and more importantly, what we all can do to prevent it. How is acid rain created? When people use fuels , such as coal and gasoline... | [
"Go to school on foot or by bike if we can.",
"Go to bed earlier in order to use less electricity.",
"Travel by bus to prevent acid rain.",
"Turn off the television on rainy days."
] | A | MMLU_train | |
What is an object that orbits a larger object called? | [
"meteorite",
"asteroid",
"comet",
"satellite"
] | D | One of the first uses of rockets in space was to launch satellites. A satellite is an object that orbits a larger object. An orbit is a circular or elliptical path around an object. Natural objects in orbit are called natural satellites. The Moon is a natural satellite. Human-made objects in orbit are called artificial... | SCiQ_train |
What science fiction once told of other worlds far away is now a fact. Astronomers prove the existence of another solar system like ours with some planets in the constellation Andromeda . Geoffrey Marcy is a professor of astronomy and physics at San Francisco State University and says, "What we have found now, for the ... | [
"That he found a dog owner was pulled by his dog.",
"That he believes any star has its planets.",
"That any planet has gravity.",
"The tremble of Upsilon Andromeda."
] | D | MMLU_train | |
From a total of 5 boys and 5 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls? | [
"60",
"240",
"100",
"16"
] | C | Answer=D=100
No of 4 person committees that can be formed=5C2*5C2=100
Answer D | AquaRat_train |
What organ has four ventricles, all of which developed from the original hollow space within the neural tube? | [
"heart",
"brain",
"bladder",
"liver"
] | B | The Ventricles There are four ventricles within the brain, all of which developed from the original hollow space within the neural tube, the central canal. The first two are named the lateral ventricles and are deep within the cerebrum. These ventricles are connected to the third ventricle by two openings called the in... | SCiQ_train |
Once upon a time there were a zebra and a monkey in a zoo. The zebra and the monkey had many napkins. What did the zebra and the monkey do with all the napkins? They didn't know. They ate the napkins. The zebra felt good. The monkey got a stomach ache. Why did the monkey get a stomach ache? The napkins were mak... | [
"the zoo worker gave the monkey a pill",
"the zebra gave the monkey another napkin",
"the zoo worker gave the monkey a banana",
"the zoo worker told the monkey a joke"
] | A | MMLU_train | |
How many fingers do apes have on each hand? | [
"six",
"seven",
"five",
"four"
] | C | Humans and apes have five fingers they can use to grasp objects. Do you think these are analogous or homologous structures? Explain. | SCiQ_train |
Duplicated chromosomes are composed of two sister what? | [
"karyotypes",
"nucleotides",
"chromatids",
"eukaryotes"
] | C | Duplicated chromosomes are composed of two sister chromatids. Chromosomes are compacted using a variety of mechanisms during certain stages of the cell cycle. Several classes of protein are involved in the organization and packing of the chromosomal DNA into a highly condensed structure. The condensing complex compacts... | SCiQ_train |
What type of behavior occurs naturally in all animals of a given species? | [
"innate",
"reflex",
"learned",
"observational"
] | A | An innate behavior is any behavior that occurs naturally in all animals of a given species. An innate behavior is also called an instinct . The first time an animal performs an innate behavior, the animal does it well. The animal does not have to practice the behavior in order to get it right or become better at it. In... | SCiQ_train |
Concepts from science and nature are filled with our language's common phrases , idioms and spoken expressions. The unbelieving expression "Well, I'll be a monkey's uncle" has its origin in bitter disbelief over Darwin's writings on evolution. These colourful expressions bring spice to our language. Yet certain well-u... | [
"the older a diamond is, the more valuable it's likely to be.",
"Fire is not necessarily causing smoke",
"Smoke is a product of complete combustion",
"the less obvious scientific inaccuracies of some phrases make them more useful"
] | B | MMLU_train | |
The measure of the amount of light received on Earth from a star is known as | [
"parallax.",
"redshift.",
"absolute magnitude.",
"apparent magnitude."
] | D | MMLU_train | |
I am Sergey Brin! I was born in Moscow. In 1979, when I was 5, my family immigrated to the United States. I remember that on my 9th birthday I got my first computer "Commodore 64". Later I graduated with honors in the University of Maryland in Mathematics and IT. The main field of my science research was the technologi... | [
"was Brin's important partner in starting Google",
"was born in a rich merchant family",
"was once a student in the University of Maryland",
"was a professor from Stanford University"
] | A | MMLU_train | |
Gram-negative bacteria have a cell wall made of peptidoglycan, whereas gram-positive bacteria have a cell wall made of what? | [
"solmization acid",
"choanocyte acid",
"hydrolic acid",
"lipoteichoic acid"
] | D | Gram-negative bacteria have a cell wall made of peptidoglycan, whereas Gram-positive bacteria have a cell wall made of lipoteichoic acid. Figure 22.19 Which of the following statements about the nitrogen cycle is false? a. Nitrogen fixing bacteria exist on the root nodules of legumes and in the soil. Denitrifying bacte... | SCiQ_train |
A number is doubled and 5 is added. If the resultant is trebled, it becomes 135. What is that number? | [
"15",
"29",
"12",
"20"
] | D | Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 135
6x + 15 = 135
6x = 120
x = 20
ANSWER:C | AquaRat_train |
9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit? | [
"$314.20",
"$314.18",
"$314.17",
"$314.19"
] | D | This is equivalent to finding the first number that is divisible by 9 that occurs after 31416.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 31416 = 15 and 18 is divisible by 9.
Hence, we need to add 3 to th... | AquaRat_train |
Cats are creatures of habit. They like to go to sleep about the same time every day and for a certain length of time. They seem to have a natural clock inside them that tells them when to sleep. Cats increase their regular sleep with occasional cat naps . Some experts feel that humans could also benefit from this habit... | [
"do not have regular sleep",
"have occasional sleep as well as naps every day",
"take naps to add to their regular sleep",
"take naps when they are not happy"
] | C | MMLU_train | |
Vijay's salary is Rs. 21,600 per month. In the first month of the year, he spends 30% of his income on clothing, 20% of the remaining on entertainment and some percentage of the remaining on food. He saves of the amount he spends. Find the percentage of spending on food as a percentage of saving. | [
"160%",
"140%",
"154%",
"124%"
] | D | Let monthly income be = x on clothing =.3x on entertainment = .2(.7x) =.14x on food = (.16x)k saving =( .3x .14x .16xk)*13 solving we get k =.31.16 putting the value and we get ...... on the food =.31x ,and saving =.25x %on food / %on saving = .06x/.25x =24%
correct answer - B | AquaRat_train |
In a cell cycle, what kind of regulator molecules allow advancement to the next stage? | [
"similar",
"strong",
"positive",
"negative"
] | C | 10.3 Control of the Cell Cycle Each step of the cell cycle is monitored by internal controls called checkpoints. There are three major checkpoints in the cell cycle: one near the end of G1, a second at the G2/M transition, and the third during metaphase. Positive regulator molecules allow the cell cycle to advance to t... | SCiQ_train |
What is the plasma membrane mainly composed of? | [
"filaments",
"phospholipids",
"carbon",
"antibodies"
] | B | The plasma membrane is composed mainly of phospholipids, which consist of fatty acids and alcohol. The phospholipids in the plasma membrane are arranged in two layers, called a phospholipid bilayer . As shown in Figure below , each phospholipid molecule has a head and two tails. The head “loves” water (hydrophilic) and... | SCiQ_train |
Which mineral do native americans use to decorate items? | [
"Amethyst",
"Topaz",
"Tanzanite",
"turquoise"
] | D | Some minerals are valuable simply because they are beautiful. Jade has been used for thousands of years in China. Native Americans have been decorating items with turquoise since ancient times. Minerals like jade, turquoise, diamonds, and emeralds are gemstones. A gemstone is a material that is cut and polished to use ... | SCiQ_train |
What is pluto now called? | [
"dwarf planet",
"meteor",
"planet",
"asteroid"
] | A | If the first three are true but not the fourth, then that object is a dwarf planet . We now call Pluto a dwarf planet. There are other dwarf planets in the solar system. They are Eris, Ceres, Makemake and Haumea. There are many other reasons why Pluto does not fit with the other planets in our solar system. | SCiQ_train |
Where do most of the digestion reactions occur? | [
"large intestine",
"liver",
"mouth",
"small intestine"
] | D | Most of the digestion reactions occur in the small intestine. | SCiQ_train |
Cholera is a water-borne disease that is spread through polluted water and food. Cholera is an illness caused by the bacterium. It produces a poison that causes a painless , watery diarrhea( ) that can quickly lead to severe dehydration and death if treatment is not given. Most persons infected with cholera do not be... | [
"replacing the blood in the body.",
"eating a lot of water mixed with sugar and salt and using antibiotics.",
"eating a large amount of sugar and salt",
"drinking a lot of water and eating a large amount of food."
] | B | MMLU_train | |
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work? | [
"50 days",
"80 days",
"120 days",
"150 days"
] | C | P works 25% more efficiently than Q: Something that takes Q 5 days, takes P 4 days
Q works 50% more efficiently than R: Something that takes R 7.5 days, takes Q 5 days
P alone takes 50 days less than Q: For every 4 days P works, Q has to work an extra day. Hence P alone can do it in 200 days and Q alone in 250 days and... | AquaRat_train |
A company has two models of computers, model X and model Y. Operating at a constant rate, a model X computer can complete a certain task in 60 minutes and a model Y computer can complete the same task in 30 minutes. If the company used the same number of each model of computer to complete the task in 1 minute, how many... | [
"16",
"17",
"18",
"20"
] | D | Let's say 1 work is processing 60 gb of data.
Model X : 1 gb per min
Model Y : 2 gb per min
Working together, 1 X and 1 Y = 3 gb per min
So, 20 times as many computers would work at 60 gb per min.
So no. of X =20
Answer is E | AquaRat_train |
Four identical candles are set on a safe surface and lit. One is covered with a small-sized jar, one is covered with a large-sized jar, and one candle is left in the open. A fourth lit candle is placed in a vacuum. Which candle will most likely stay lit the longest? | [
"the candle placed in the vacuum",
"the candle covered with the small-sized jar",
"the candle covered with the large-sized jar",
"the candle left out in the open"
] | D | MMLU_train | |
A pollinating entity is one that move pollen from flower to flower and can be done by? | [
"a tiger",
"good for food",
"six legged entity",
"a heat source"
] | C | MMLU_train | |
Many middle school students don't know how to spend their free time. When they have holidays, they always have nothing to do and feel bored. Some may play computer games all day long and some may stay in bed and sleep all day. It's not a good way. Here are some suggestions . If you don't like to stay at home, you can g... | [
"To keep healthy.",
"To make more friends.",
"To make our studies better.",
"To know about the world."
] | A | MMLU_train | |
Feel tired lately? Has a doctor said he can't find anything wrong with you? Perhaps he has sent you to a hospital, but all the advanced equipment there shows that there is nothing wrong with you. Then, consider this: you might be in a state of sub-health. Sub-health, also called the third state or gray state, is explai... | [
"work hard",
"sleep more",
"form good living habits",
"take more medicine"
] | C | MMLU_train | |
Animals like the lion are known as carnivorous (meat-eating) animals. They feed on smaller animals. But many other animals eat grass or plants. They are called herbivorous (plant-eating) animals. You may be surprised to learn that there are carnivorous plants as well as carnivorous animals. Plants that grow in poor soi... | [
"carnivorous animals",
"herbivorous animals",
"small insects",
"pitcher plants"
] | D | MMLU_train | |
In the faculty of Reverse-Engineering, 300 second year students study numeric methods, 600 second year students study automatic control of airborne vehicles and 200 second year students study them both. How many students are there in the faculty if the second year students are approximately 70% of the total? | [
"750",
"900",
"1000",
"950"
] | C | Total number of students studying both are 300 + 600 - 200 = 700 (Subtracting the 200 since they were included in the both the other numbers already).
So 70% of total is 700, so 100% is 1000
Answer is E | AquaRat_train |
How many different arrangements of A, B, C, D, and E are possible ? | [
"120",
"48",
"96",
"32"
] | A | So you have A,B,C,D,E
five possible ways to arrange it = 5! = 120
E | AquaRat_train |
Find the sum of prime numbers lying between 58 and 72? | [
"258",
"272",
"198",
"None"
] | A | Solution
Required sum = 59 + 61 + 67 + 71)
= 258.
Answer B | AquaRat_train |
A large thing that spews out destructive materials can | [
"make babies",
"eat sandwiches",
"level planets",
"create towering hills"
] | D | MMLU_train | |
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg. What is the weight of the new person? | [
"75 Kg",
"80 Kg",
"50 Kg",
"70 Kg"
] | D | Explanation:
Total increase in weight = 8 × 2.5 = 20
If x is the weight of the new person, total increase in weight = x−50
=> 20 = x - 50
=> x = 20 + 50 = 70
Answer: Option C | AquaRat_train |
What is an odorless white solid that is harmless unless consumed in large quantities? | [
"Hydrogen",
"sodium chloride",
"oxygen chloride",
"carbon chloride"
] | B | A: Sodium chloride is an odorless white solid that is harmless unless consumed in large quantities. In fact, it is a necessary component of the human diet. | SCiQ_train |
The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Charlie 9 years from now? | [
"80",
"52",
"44",
"65"
] | C | Let the present ages of Aman, Bren, and Charlie be 5x, 8x and 7x respectively.
5x-8 + 8x-8 + 7x-8 = 76
x = 5
Present age of Charlie = 7*5 = 35
Charlie's age 9 years hence = 35+9 = 44
Answer = A | AquaRat_train |
100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used? | [
"90",
"70",
"75",
"85"
] | B | Answer = B
Please refer diagram below
90 - 20 = 70 | AquaRat_train |
which is most likely to be eaten by a rabbit | [
"trout",
"dandelions",
"field mice",
"spiders"
] | B | MMLU_train | |
Monatomic ions have an oxidation number equal to their what? | [
"size",
"cost",
"length",
"charge"
] | D | Monatomic ions have an oxidation number equal to their charge. Li + has an oxidation state of +1, Ba 2+ has an oxidation state of +2, I - has an oxidation state of -1, and so on. | SCiQ_train |
3889 + 13.952 - ? = 3854.002 | [
"47.59",
"48.95",
"45.79",
"49.75"
] | B | Let 3889 + 13.952 - x = 3854.002.
Then x = (3889 + 13.952) - 3854.002
= 3902.952 - 3854.002
= 48.95.
Answer is A | AquaRat_train |
Which of the following characteristics of an individual wolf is most affected by its environment? | [
"the size of its feet",
"the color of its eyes",
"the shape of its ears",
"the condition of its fur"
] | D | MMLU_train | |
The mean of 80 observations was calculated as 55. It was found later on that one of the observations was misread as 64 instead of 46. The correct mean is | [
"54.7",
"None of these",
"39",
"60.3"
] | A | Explanation :
Correct sum = (55*80 + 46 - 64) = 4382.
Correct mean = 4382/80 = 54.7
Answer : B | AquaRat_train |
Have you ever had a doctor write you a prescription for three laps around a local trail ? How about a prescription for sit-ups? These treatments may not be as typical as the drugs that are usually used to treat our problems, but maybe they should be: a new report shows that regular exercise can be just as effective as... | [
"Drug.",
"Exercise",
"Run.",
"walk"
] | A | MMLU_train | |
Conducting wires have a small degree of what? | [
"insulation",
"magnetism",
"electrical resistance",
"heat"
] | C | Conducting wires have a small electrical resistance. The electrical resistance of a conducting wire is related to the type of metal used and inversely related to the cross-sectional area of the wire. The larger the diameter of a wire, the greater the cross-sectional area, and the lower the electrical resistance will be... | SCiQ_train |
First, open the lid (-) and put water, salt, and rice in the pot. Then put the cover on the pot and close the lid. Next, press the button for "white" or "brown", and then press the "start" button. Let the rice cook for about 30 minutes. You'll hear a beeping sound when it's finished, but you should wait about five... | [
"One.",
"Two.",
"Three",
"Four."
] | B | MMLU_train | |
If a thing is seen, then | [
"the pupil was studying",
"the pupil absorbed light",
"light was put out",
"the pupil was gone"
] | B | MMLU_train | |
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 5 percent. The price of the item on day 3 is what percentage of the sale price on day 1? | [
"28%",
"85.5%",
"40%",
"70%"
] | B | original price = 100
day 1 discount = 10%,price = 100-10 =90
day 2 discount = 10%,price = 90-9=81
day 3 discount = 5%,price = 81-4.05= 76.95
which is 76.95/90 *100 of the sale price on day 1= ~8
Answer C | AquaRat_train |
100 identical coins, each with probability P of showing 'heads' are tossed once. If 0<P<1 and the probability of 'heads' showing on 50 coins is equal to that of 'heads' showing on 50 coins, then find the value of P. | [
"None of these",
"32/81",
"51/101.",
"Cannot be determined"
] | C | Explanation :
Let X be the number of coins showing 'heads', then X follows a binomial distribution with parameters n = 100 and P.
As given, P(X=50) = P(X=51)
=> 100C50P50(1-P)50 = 100C51P51(1-P)49 .
=> 51/50 = P / (1-P)
=> p = 51/101.
Hence, the value of p is 51/101.
Answer : A | AquaRat_train |
A sum of Rs. 2691 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? | [
"1277",
"1656",
"1279",
"1629"
] | B | (x*8*3)/100 = ((2691 - x)*3*5)/100
24x/100 = 40365/100 - 15x/100
39x = 40365 => x = 1035
Second sum = 2691 – 1035 = 1656
Answer:B | AquaRat_train |
Why do viruses not belong to any domain of life? | [
"they are nonliving",
"they are too mature",
"they are immortal",
"they are mortal"
] | A | Which of the three domains of life do viruses belong to? None. Why? Viruses are usually considered to be nonliving. Viruses do not meet most of the criteria of life. They are not even made of cells. | SCiQ_train |
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 30 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry... | [
"40%",
"35%",
"50%",
"45%"
] | C | You can also just use the formula
n(A or B) = n(A) + n(B) - n(A and B)
90 = 2X + X - 30
X = 40
2X = 80
This is the number of people who took algebra including those who took both. To get the number of people who took only algebra, 80 - 30 = 50%
Answer (A) | AquaRat_train |
What item lost by diffusion and in the urine are replenished by eating? | [
"sugar",
"protein",
"salt",
"yeast"
] | C | SCiQ_train | |
A rectangular box of volume Y has width, depth and height in the ratio of 3:2:4 (in that order). What is the height as a function of Y? | [
"(Y/4)^(1/2)",
"(2Y/3)^(1/2)",
"(Y/6)^(1/2)",
"(4Y/6)^(1/2)"
] | D | We are given width = 3, depth = 2, height = 4.
Then Volume = Width x Depth x Height = 3*2*4 = 24
i.e. Y = 24
The correct option should result in 4 (the height) on substituting the value of Y=24.
Checking options with Y=24:
A) (4Y/6)^(1/2) = (96/6)^(1/2) = 4 CORRECT ANSWER
B) (Y/6)^(1/2) = (24/6)^(1/2) = 2 INCORRECT ANS... | AquaRat_train |
Put an ice cube from your fridge into a glass of water. You have a piece of string 10 centimeters long. The problem is to take out that piece of ice with the help of the string. But you must not touch the ice with your fingers. You may ask your friends to try to do that when you are having dinner together. There ... | [
"fridge",
"some food",
"a table",
"some salt"
] | D | MMLU_train | |
The reciprocal of the hcf and lcm of two are 1/13 and 1/312 .if one of the number is 24 then other no. is | [
"156",
"126",
"169",
"146"
] | C | reciprocal of the hcf and lcm of two are 1/13 and 1/312
so, HCF = 13 , LCM = 312
LCM * HCF = product of two numbers = a*b => b = LCM * HCF / a
so, other = 13*312 / 24 = 169
ANSWER:E | AquaRat_train |
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ? | [
"3",
"4",
"1",
"0"
] | D | Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6* + 3 = 6! + 3 and 6* + 6 = 6! + 6.
Now, notice that we can factor out 3 our of 6! + 3 so it cannot be a prime number, we can factor out 4 our of 6! + 4 so it cannot be a prime number, ... The same way for all numbers between 6! + 3 and 6... | AquaRat_train |
If x and y are even integers, which of the following is an odd integer? | [
"x(x + 5)",
"(x + 3)(y − 1)",
"3x + 4y",
"xy + 2"
] | B | If x and y are even integers, then:
A. xy + 2: even + even = even
B. x(y − 1): even(odd) = even
C. x(x + 5): even(odd) = even
D. 3x + 4y: even + even = even
E. (x + 3)(y − 1): (odd)(odd) = odd.
Answer is E. | AquaRat_train |
The World Health Organization estimates that more than 4 million people die each year from the effects of smoking tobacco . That number is increasing. WHO officials expect 150 million people to die from tobacco use in the next twenty years. Seven in ten of those deaths will be in developing countries. These numbers ar... | [
"WTO officials say that a person will live longer if he / she stops smoking",
"the smoker can affect the health of his or her family members",
"following any way can help you stop smoking",
"no matter how hard you try it, it is worth doing that"
] | B | MMLU_train | |
Earthquakes have both longitudinal and transverse components, and these travel at what? | [
"the speed of sound",
"the speed of light",
"different speeds",
"identical speeds"
] | C | Earthquakes, essentially sound waves in Earth’s crust, are an interesting example of how the speed of sound depends on the rigidity of the medium. Earthquakes have both longitudinal and transverse components, and these travel at different speeds. The bulk modulus of granite is greater than its shear modulus. For that r... | SCiQ_train |
When the volume of a gas is decreased, what happens to its pressure? | [
"STAYS THE SAME",
"drops",
"increases",
"LOWERS"
] | C | When the volume of a gas is decreased, its pressure is increased. | SCiQ_train |
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business? | [
"2401",
"2400",
"2408",
"2406"
] | B | 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A | AquaRat_train |
Both dna and rna are what type of acids? | [
"synthesize acids",
"proteins acids",
"fatty acids",
"nucleic acids"
] | D | DNA and RNA are nucleic acids. DNA stores genetic information. RNA helps build proteins. Proteins, in turn, determine the structure and function of all your cells. Proteins consist of chains of amino acids. A protein’s structure and function depends on the sequence of its amino acids. Instructions for this sequence are... | SCiQ_train |
Offshore oil platforms affect ocean habitats. An ocean environment is most likely damaged by an offshore oil platform because | [
"leaking oil from the oil platform might pollute the water",
"fishing from the oil platform might reduce the fish population",
"drilling in the ocean floor might reduce the water temperature",
"changing the ocean floor might increase the number of hurricanes"
] | A | MMLU_train | |
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 3 man in committee ? | [
"10/36",
"28/36",
"11/72",
"12/72"
] | B | We may have (3 men and 2 women) = (7C3 x 6C2) = 525
or (4 men and 1 woman) = (7C4 x 6C1) = 210
or (5 men only) = (7C5) = 21
Required ways = 756
Probability of having 3 man in committee = 525 / 756 =28/36
ans - D | AquaRat_train |
In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/5 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn? | [
"8/15",
"1/6",
"5/6",
"1/2"
] | A | You can simply use sets concept in this question. The formula
Total = n(A) + n(B) - n(A and B) is applicable here too.
Set 1: Number 12 or larger
Set 2: Number 20 or smaller
1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)
2/3 + P(... | AquaRat_train |
If a light flashes every 6 seconds, how many times will it flash in 2/5 of an hour? | [
"241",
"301",
"181",
"211"
] | A | In 2/5 of an hour there are 24*60 = 1440 seconds
The number of 6-second intervals = 1440/6 = 240
After the first flash, there will be 240 more flashes for a total of 241.
The answer is C. | AquaRat_train |
Lactose intolerance is a condition of the digestive system in which an individual has an inability to digest lactose, the sugar found in milk. An individual affected with lactose intolerance does not produce enough of the enzyme lactase, which is needed to break down lactose. If more adults than children are diagnosed ... | [
"The production of lactase decreases over time.",
"The digestion of food breaks down lactase.",
"Lactose intolerance is an allergic reaction.",
"Lactose intolerance is contagious."
] | A | MMLU_train | |
Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability E that Kate has more than $10 but less than $15? | [
"E=15/32",
"5/16",
"E=3/8",
"12/30"
] | A | For 21 heads Kate will end up with < $10 and we want her to win. Therefore, only possibilities are 3 or 4 heads.
I made an educated guess and it worked fine.
Ans- 'D'
MGMAT's anagram helped here as well.
HHHHT = 5!/4!*1! = 5
HHHTT = 5!/3!*2! = 10
Total acceptable cases = 15
Total cases = 32
P = 15/32=D | AquaRat_train |
Where do dogs come from? Gray wolves are their ancestors. Scientists are pretty consistent about that. And researchers have suggested that dogs' origins can date back to Europe, the Near East, Siberia and South China. Central Asia is the newest and best candidate, according to a large study of dogs from around the worl... | [
"Laura M. Shannon",
"Adam R. Boyko",
"Shannon and Boyko",
"Greger Larson"
] | D | MMLU_train | |
Tough and Tricky questions: Ratios
1/6 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to joi... | [
"2/3",
"1/2",
"23/30",
"4/9"
] | D | let total no. of students be 30
students left on a field trip =1/6(30) =5
thus 25 students left behind
1/3(25) students did not want to go. thus 50/3 students want to go on the trip
1/2(50/3)=25/3 were able to join the other students on the field trip.
thus total number of students that went on a field trip =5+ 40/3
th... | AquaRat_train |
Christian Eijkman, a Dutch doctor, left the Netherlands for the island of Java. Many people on the island had a disease called beri-beri. He was going there to try and find a _ . At first, Eijkman thought some kind of germ caused beri-beri. He raised some chickens. He didn't eat them, but made experiments on them. T... | [
"help the Javanese with their illness",
"find ways to grow better crops",
"do some research about the island",
"spend his holiday"
] | A | MMLU_train | |
Which of the following is formed immediately after fertilization? | [
"egg",
"sperm",
"zygote",
"embryo"
] | C | MMLU_train | |
What property means that something can return to its original shape after being stretched or compressed? | [
"viscosity",
"homeostasis",
"elasticity",
"friction"
] | C | Something that is elastic can return to its original shape after being stretched or compressed. This property is called elasticity . As you stretch or compress an elastic material like a bungee cord, it resists the change in shape. It exerts a counter force in the opposite direction. This force is called elastic force ... | SCiQ_train |
What are seeds plants that produce naked seeds in cones called? | [
"angiosperms",
"gymnosperms",
"lipids",
"cytoplasm"
] | B | Gymnosperms are seed plants that produce naked seeds in cones. There are about 1000 species of gymnosperms. Conifers are the most common group of gymnosperms. The spruce tree in Figure below is an example of a conifer. | SCiQ_train |
This is a dangerous world we live in.The number of murders goes up every year, people are dying of cancer, more people contract HIV, more teens are using drugs, etc.You know this because you have heard all the statistics on the news and in the paper. But do you really have an accurate idea what they mean? The numbers a... | [
"Relative information is not that important.",
"too much information will make readers feel confused.",
"the author is trying to show what he or she says is true.",
"readers are not able to analyze so much information at once."
] | C | MMLU_train | |
Millions of years ago dinosaurs lived on the earth. In the days of dinosaurs the whole earth was warm and wet. There were green forests and they could find enough to eat. Later, parts of the earth became cold and dry. and the forests there died. Then dinosaurs could not find enough to cat. This must be one reason why... | [
"for millions of years",
"millions of years ago",
"more than 100 millions years ago",
"when it was warm and wet somewhere"
] | B | MMLU_train | |
Endangered giant pandas are facing a new threat: the loss of their food source, bamboo. In China's Qinling Mountains, giant pandas spend most of their day eating bamboo. The plant makes up 99% of the panda's diet, with some pandas eating about 40 pounds of it a day. But Qinling's pandas may soon have to find another fo... | [
"The Endangered Giant Pandas",
"Saving Panda's Food Source",
"Protecting the Environment Around us",
"The Terrible Future of Pandas"
] | A | MMLU_train | |
Salivary amylase is an enzyme in the human body that digests carbohydrates from food. When food mixed with saliva enters the stomach, the action of salivary amylase slows dramatically. Which causes salivary amylase enzyme to stop digesting food? | [
"The pH of the stomach is lower than in the mouth.",
"The concentration of food decreases in the stomach.",
"The temperature of the food increases in the stomach.",
"The food is mixed more in the mouth than in the stomach."
] | A | MMLU_train | |
The value of C+5C(7C)(5CC)when C= 7 is: | [
"420175",
"420170",
"420754",
"420715"
] | A | Solution:
C+5C(7C)(5CC)
Put the value of C= 7 in the above expression we get,
7+ 35(7 x 7)(5x7 x 7)
= 7+ 35(49)(5 × 49)
= 7 + 420175
=420175
Answer : D | AquaRat_train |
What is the name for speed with a direction? | [
"trajectory",
"distance",
"velocity",
"acceleration"
] | C | Speed represents how quickly an object is moving through space. Velocity is speed with a direction, making it a vector quantity. If an object’s velocity changes with time, the object is said to be accelerating. As we’ll see in the next chapters, understanding the acceleration of an object is the key to understanding it... | SCiQ_train |
Townville has 100 residents, and 20 of them are females. If half of Townville’s male residents are smokers, and 1/2 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers? | [
"60",
"45",
"55",
"50"
] | D | Number of people =100
Females = 20
men = 100-20=80
Half of the men are smoker80/2=40, that means the remaining men 80-40=40 are non smokers.
1/2 females are smoker. i.e 1/2*20 = 10
20-10=10 females are non smokers
So, total number of non smokers in the town are 40+10 =50
Answer : C | AquaRat_train |
What is the 4 digit number whose second digit is thrice the first digit and 3rd digit is sum of 1st and 2nd and last digit is thrice the second digit. | [
"3343",
"3678",
"1349",
"2674"
] | C | let four digits is a,b,c&d ...so by given
b is 3a
c is 4a
d is 9a so
ans is 1349
ANSWER:B | AquaRat_train |
The true discount on a bill of Rs.270 is Rs.45.The banker's discount is | [
"57",
"None of these",
"54",
"55"
] | C | Solution
P.W = Rs.(270 - 45)
= Rs. 225
S.I on Rs. 270 =Rs.(45/225 x 270)
= Rs. 54.
Answer A | AquaRat_train |
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 40%. What is the mark up on the cost price? | [
"25%",
"26%",
"16.66%",
"8%"
] | B | The most natural way to deal with 'weights' questions is by assuming values.
Say the trader's balance shows 100 gms. It is actually 90 gms because it weighs 10% less. Say, the cost price is $90 ($1/gm). Since he gets a profit of 40%, the selling price must be 90+(40/100)*90 = $126
Since the cost price is actually suppo... | AquaRat_train |
Some compounds form rigid frameworks called what? | [
"chemicals",
"grids",
"ions",
"crystals"
] | D | Some compounds form rigid frameworks called crystals. Other compounds form individual molecules. A molecule is the smallest particle of a compound that still has the compound’s properties. | SCiQ_train |
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was: | [
"Rs. 15,000",
"Rs. 20,000",
"Rs. 10,000",
"Rs. 2000"
] | A | Principal = Rs.(100 x 5400)/(12x3) = Rs. 15000.
Answer: Option C | AquaRat_train |
Find the L.C.M of 42,88,220 | [
"1420",
"1120",
"1320",
"1520"
] | C | 42=2*3*7 88=2^3*11 220=2^2*5*11
L.C.M=2^3*3*5*11=1320
Answer=(B) | AquaRat_train |
Which of these is never found in prokaryotic cells? | [
"cell membrane",
"ribosome",
"cell wall",
"nucleus"
] | D | MMLU_train | |
There was once a professor of medicine, who was very strict with the students. Whenever he took the chair on the exam committee, the students would be in fear, because he was seldom pleased with the answers they gave. A student would be lucky enough if he or she could receive a good mark from him. At the end of the ter... | [
"not correct",
"not satisfying",
"completely discouraging",
"accepted"
] | D | MMLU_train | |
How do some animals change their depth? | [
"by changing their density",
"metamorphosis",
"mass migration",
"spontaneous mutations"
] | A | Some animals change their depth by changing their density. Recall that things that are denser than their surroundings sink while those that are less dense than their surroundings float. Most fish have a swim bladder, a special sac that is filled with gases from their blood. When the fish's swim bladder is full, it is l... | SCiQ_train |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.