question stringlengths 13 4.8k | choices sequencelengths 4 4 | answer stringclasses 4
values | support stringlengths 0 2.15k | source stringclasses 4
values |
|---|---|---|---|---|
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length? | [
"28",
"27",
"18",
"55"
] | D | T = (660 + 165)/54 * 18/5
T = 55
Answer: C | AquaRat_train |
Miss Williams is a teacher, and there are thirty children in her class. They are nice children, and Miss Williams like them all, but they often lose some of the clothes. It's winter, and the weather is very cold. The children's mothers always take them to school with warm coats and hats and gloves . The children come ... | [
"The children's mothers often take them to school.",
"Children put the gloves in the pockets of their coats.",
"Dick hasn't got any gloves.",
"Miss Williams thinks the children are nice."
] | C | MMLU_train | |
A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have receive... | [
"$1,400",
"$2,120",
"$2,040",
"$1,960"
] | B | In order to maximize the amount of money that the gambler kept, we should maximize # of $20 chips lost and minimize # of $100 chips lost, which means that # of $20 chips lost must be 2 more than # of $100 chips lost.
So, if # of $20 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chi... | AquaRat_train |
Nectar is a sweet liquid that some flowering plants produce. A hummingbird drinks nectar from a flower. When a hummingbird drinks nectar, pollen from the flower sticks to the hummingbird's beak. The picture shows a hummingbird drinking nectar from a flower. Which statement explains the role of a hummingbird in the life... | [
"A hummingbird carries food to the plant.",
"A hummingbird helps the plant reproduce.",
"A hummingbird protects the plant from predators.",
"A hummingbird makes the flowers produce nectar."
] | B | ai2_arc_train | |
If a(a + 2) = 35 and b(b + 2) = 35, where a ≠ b, then a + b = | [
"-10",
"-2",
"-6",
"-7"
] | B | i.e. if a = 5 then b = -7
or if a = -7 then b = 5
But in each case a+b = 5-7 = -2
Answer: D | AquaRat_train |
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field? | [
"5 days",
"9 days",
"6 days",
"7 days"
] | C | Area of the field grazed = [22/7*14*14]sq.ft. = 616 sq.ft.
Number of days taken to graze the field = 616/100 days
=> 6 days
ANSWER:B | AquaRat_train |
Worms grow to adult size without going through what stage? | [
"larval",
"egg",
"growth",
"development"
] | A | In some species, the same individual produces both sperm and eggs. But worms mate to exchange sperm, rather than self-fertilizing their own eggs. Fertilized eggs are deposited in a mucous cocoon. Offspring emerge from the cocoon looking like small adults. They grow to adult size without going through a larval stage. | SCiQ_train |
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter? | [
"5",
"9",
"12",
"18"
] | C | Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:
XYZ
YZX
ZXY
And:
XYZ
ZXY
YZX
Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes ... | AquaRat_train |
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture | [
"5 litres",
"30 litres",
"20 litres",
"10 litres"
] | D | Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+5)=4/5 20x=4(3x+5)8x=20 x=2.5
Quantity of alcohol = (4 x 2.5) litres = 10 litres.
ANSWER A 10 litres | AquaRat_train |
P and Q are the only two applicants qualified for a short-term research project that pays 360 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candida... | [
"$12",
"$6",
"$15",
"$3"
] | B | Let Q's hourly wage be x, then P's hourly wage is 1.5x
Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.
Since they both are paid an equal total amount of $360:
x*T=1.5x*(T-10)
T = 30 hours and Q's hourly wage is 360/30 = $12
P's hourly wage is 360/(T-10) = $18 which is $6 per hour more.... | AquaRat_train |
Evaluate 926 + 9.026 + 0.926 + 9.0026 | [
"944.9565",
"944.9655",
"944.9546",
"946.9565"
] | C | 926 + 9.026 + 0.926 + 9.0026 = 944.9546
Option E | AquaRat_train |
It was getting late. There was no noise in the forest. We could only hear the birds singing. And then, a bear--a big brown bear--came into the forest. The bear stopped under a tall tree. He was very hungry. He looked up into the tree. There in the nut tree was his supper--a supper of nice nuts. But the nuts were high u... | [
"in a forest.",
"outside the forest.",
"near a forest.",
"in front of the forest."
] | A | MMLU_train | |
What kind of energy positions do electrons occupy during ground state? | [
"closest energy positions",
"lowest energy positions",
"highest energy positions",
"relative energy positions"
] | B | Oxygen has 6 valence electrons in its ground state. Remember that ground state refers to the neutral atom in which the electrons occupy the lowest possible energy positions. Oxygen is two electrons away from being isoelectronic with the nearest noble gas. Oxygen will therefore form ions by gaining two electrons to beco... | SCiQ_train |
A train 110 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? | [
"4",
"2",
"6",
"4"
] | 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 = 110 * 3/55
= 6 sec.
Answer: B | AquaRat_train |
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 35 more. What was his original selling price? | [
"$550",
"$840",
"$1100",
"$770"
] | A | Let the original purchase price be X
So original selling price at 10% profit = 1.1X
If product is purchased at 10% less of original = 0.9X
Profit of 30% on this price = 1.3(0.9X)
He would have received $35 more in second scenario => 1.3(0.9X) - 1.1X = 35
=> 0.07X = 35
=> X = $500
Original purchase price = $500
Hence, o... | AquaRat_train |
What is an example of the fact that a thing is dead once it dies after having previously lived? | [
"a small squirrel falls from a tree and breaks its leg",
"a panda stops eating and falls into a coma",
"a dog is paralyzed and is unable to move",
"a vibrant cat is deceased after being hit by a car"
] | D | MMLU_train | |
If taxi fares were $1.00 for the first 1/5 mile and $0.30 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was | [
"$2.40",
"$2.80",
"$1.56",
"$5.20"
] | D | In 3 miles , initial 1/5 mile charge is $1
rest of the distance = 3 - (1/5) = 14/5
rest of the distance charge = 14(0.3) = $4.2 (as the charge is 0.3 for every 1/5 mile)
=> total charge for 3 miles = 1+4.2 =5.2
Answer is D. | AquaRat_train |
Marine invertebrates are likely to be discovered in | [
"rushing streams",
"backyard ponds",
"clam filled waters",
"local pools"
] | C | MMLU_train | |
Sentence B can only be a concluding sentence; we find in the answer choice–b, a sequence of the sentences logically leading to the concluding sentence | [
"19",
"17",
"88",
"111"
] | C | Answer:B | AquaRat_train |
Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 60 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour? | [
"229",
"228.5",
"229.5",
"228"
] | D | Lets assume the initial production was 100 litres of beer for 100 hr.
With the 60% increase the total amount of beer production will be 160 litres and with 30 % decrease in total hours will be reduced to 70 hr.
100hr ----> 100 lts
1hr -----> 1 lts
70hr -----> 160 lts
1hr -----> 2.28 lts
Total Increase in production for... | AquaRat_train |
Endotherms are warmed mostly by heat generated by what? | [
"electricity",
"the sun",
"metabolism",
"movement"
] | C | SCiQ_train | |
Naturally occurring variations within a species are mainly the result of mutations and | [
"sexual reproduction",
"dynamic equilibrium",
"metabolism",
"camouflage"
] | A | MMLU_train | |
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 5. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased? | [
"9, 10, 13",
"6, 9, 12",
"5, 15, 18",
"3, 8, 24"
] | B | I didnt get your point on eliminating C.
The number of stamps only one purchased was divisible by 5.Could that not be Cecilia with 9 stamps.
I choose this and marked C. | AquaRat_train |
What percent of the month of April is 20 days? | [
"64,5%",
"70%",
"66,66%",
"60%"
] | C | Explanation :
Total days in the month of April = 30
Required percentage = (20/30) × 100 = 66,66%
Answer : Option B | AquaRat_train |
Pressure and ________ are directly proportional at a constant volume? | [
"heating",
"precipitation",
"speed",
"temperature"
] | D | Pressure and temperature are directly proportional at a constant volume. | SCiQ_train |
What do the muscles of the gastrointestinal tract do? | [
"keep food moving",
"secrete stomach acid",
"stop digestion",
"break down food"
] | A | Organs of the GI tract are covered by muscles that contract to keep food moving along. A series of involuntary muscle contractions moves rapidly along the tract, like a wave travelling through a spring toy. The muscle contractions are called peristalsis. The diagram in Figure below shows how peristalsis works. | SCiQ_train |
Which is the first step in a design process? | [
"Revise the solution.",
"Describe the problem.",
"Test the possible solutions.",
"Identify possible solutions."
] | B | MMLU_train | |
If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ? | [
"4/(1+k)",
"2/(1+k)",
"4/(8+k)",
"1/(8+k)"
] | B | 1/Y + 1/Y + 1/Y + 1/Y
= 4/Y
= 4/(2 + 2K)
= 2/(1 + K)
ANSWER:B | AquaRat_train |
In mammals what does the zona pellucida protect? | [
"sperm",
"testes",
"egg",
"fetus"
] | C | Fertilization Fertilization, pictured in Figure 43.23a is the process in which gametes (an egg and sperm) fuse to form a zygote. The egg and sperm each contain one set of chromosomes. To ensure that the offspring has only one complete diploid set of chromosomes, only one sperm must fuse with one egg. In mammals, the eg... | SCiQ_train |
What organ is made up of over one million nephrons that dot the renal cortex? | [
"gall bladder",
"lungs",
"kidney",
"stomach"
] | C | Which of the following statements about the kidney is false? a. The renal pelvis drains into the ureter. The renal pyramids are in the medulla. The cortex covers the capsule. Nephrons are in the renal cortex. Because the kidney filters blood, its network of blood vessels is an important component of its structure and f... | SCiQ_train |
There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 3,900 milk chocolates per month, what was it one month ago? | [
"3000 chocolates",
"10,000 chocolates",
"8000 chocolates",
"None of these"
] | A | Let one month ago, production be x chocolates.
Then, 130 % of x = 3900
⇒ x = 3900×100/130=3000 chocolates
Answer B | AquaRat_train |
if the ratio of two number is 4:6 and LCM of the number is 280 then what is the number. | [
"12",
"25",
"20",
"30"
] | A | product of two no = lcm *hcf
4x*6x=280*x
x=12
ANSWER:A | AquaRat_train |
A locker consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most? | [
"215",
"220",
"224",
"200"
] | A | Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6 = 216.
Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 216 - 1 = 215
B | AquaRat_train |
Do you know Su Bingtian? He is a Chinese runner. He was born in Zhongshan City, Guangdong Province on August 20th, 1989. When he was a child, he liked running in the school running team. His parents supported him in practicing running and they often encouraged him to run. Though it's very hard for him to win every race... | [
"running",
"swimming",
"dancing",
"drawing"
] | A | MMLU_train | |
A sum of money at simple interest amounts to Rs. 820 in 3 years and to Rs. 854 in 4 years. The sum is: | [
"654",
"718",
"976",
"847"
] | B | S.I. for 1 year = Rs. (854 - 820) = Rs. 34.
S.I. for 3 years = Rs.(34 x 3) = Rs. 102.
Principal = Rs. (820 - 102) = Rs. 718.
Answer:B | AquaRat_train |
What is the rate percent when the simple interest on Rs.810 amount to Rs.155 in 4 Years? | [
"4.78",
"4.38",
"4.48",
"4.68"
] | A | 155 = (810*4*R)/100
R = 4.78%
Answer: A | AquaRat_train |
If p and r are integers, and p^2 = 36r, then r must be divisible by which of the following? | [
"9",
"14",
"2",
"7"
] | A | Ans: D
Solution: for p to be an int 36 r must be whole square of a number.
36r= 9*2*2*r
to make it whole square we need 9
so r can must be divisible by 9y where y is itself a whole square.
so C is the ans | AquaRat_train |
In how many ways can the letters of word DIRECTION be arranged such that NO two vowels appear together? | [
"4!*5!/2",
"6!*4!",
"5!*5!",
"5!*4!*2!"
] | A | No 2 vowels together = the only arrangement possible will be C V C V C V C V C (with V=vowel, C=consonant). This is true as we have 4 vowels and 5 consonants and any other combination will force us to pair 2 vowels together. Since there are two 'i's divide by 2
Thus, the number of arrangements possible : 5 *4 *4 *3 *3 ... | AquaRat_train |
A boy has 9 trousers and 20 shirts. In how many different ways can he select a trouser and a shirt? | [
"110",
"104",
"180",
"102"
] | C | The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 20 = 180 ways.
A | AquaRat_train |
Two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days. The number of days required by 1 man to complete the work is | [
"60 days",
"15 days",
"51 days",
"6 days"
] | B | Two men and 7 children complete a certain piece of work in 4 days
or 8 men and 28 children complete a certain piece of work in 1 days
4 men and 4 children complete the same work in only 3 days.
or 12 men and 12 children complete the same work in only 3 days.
so 8 men +28 children = 12 men +12 children
1Man = 4 children... | AquaRat_train |
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possib... | [
"52",
"51",
"72",
"90"
] | B | We were asked to find number of maximum possible people who were accommodated at hotels they dont prefer,
So for 18 XYZ accommodations , we can choose 18 ABC preferring people (so xyz is filled up) Here 18 were given to people who don't prefer XYZ
for 42 ABC accommodations, we can choose 33 ABC preferring people and re... | AquaRat_train |
Have you had this experience? You are watching a movie. A man is shooting on the screen. The picture is so real that you think he is shooting at you. Or a car is speeding on the screen and at one point you are afraid that it will hit you. Three-dimensional(3D)movies use special technology to make pictures seem more rea... | [
"what 3D technology needs",
"what 3D movies are",
"how 3D movies develops",
"how 3D technology works"
] | D | MMLU_train | |
Fishing is a popular activity and every fisherman knows the rule: Keep the big ones, throw the smaller ones back. The idea behind Lt is simple - the larger fish are probably older. If you keep the smaller ones, they won't be able to reproduce, and the fish population is in danger. But fishing out the largest fish from ... | [
"To encourage people to fish more carefully.",
"To urge governments to change the rules of fishing.",
"To describe the results of a scientific experiment.",
"To introduce the rules of fishing to readers."
] | C | MMLU_train | |
The number of livestock in a farm at the beginning of year 2000 was 130,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 130,000. Which of the following e... | [
"q > p",
"p = q",
"There is no relation between p and q",
"p > q"
] | D | Number plugging in will be best strategy for this question.
Let p = 5%,
Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence D is the correct answer. | AquaRat_train |
Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 40 miles per hour while Alice drives 60 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car? | [
"4 p.m.",
"9 p.m.",
"1 p.m.",
"3 p.m."
] | A | 7:00 am so 6 hours later is 1:00 pm
In six hours, Robert will have driven 6*40 = 240 miles
In six hours, Alive will have driven 6*60 = 360 miles
So Robert needs 360-240 = 120 miles do catch Alice up.
So at 40 mph, he will need 3 hours
1:00 pm + 3 hours = 4:00 pm
ANS : C | AquaRat_train |
The students of Class Three are going hiking for their fieldtrip. Hiking is good for people's health. Many hikers like to hike in the countryside, forest and mountains. Just walking for fun is the first kind of hiking. Many people like to hike in the parks or just on the sidewalks. A hike can take a few hours or week... | [
"with backpacks on their backs",
"in a place where there is no food to buy",
"in the parks or on the sidewalks",
"in the parks or in the zoo"
] | C | MMLU_train | |
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a spade and the second card is a jack is? | [
"1/50",
"1/52",
"1/4",
"1/26"
] | B | Probability of a spade = 13/52 = 1/4
Probability of a jack = 4/52 = 1/13
Probability of both = P1*P2 = 1/(4*13) = 1/52
Answer is D. | AquaRat_train |
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions? | [
"17",
"16",
"91",
"10"
] | D | RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 40 = 100 * 5/18
T = 2500/9 * 18/500 = 10 sec
Answer:A | AquaRat_train |
Displacement divided by time is equal to the average what? | [
"acceleration",
"speed",
"force",
"velocity"
] | D | Average velocity is displacement divided by time. | SCiQ_train |
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 16,000 after 3 years at the same rate? | [
"2343",
"5296",
"2572",
"2372"
] | B | Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = 100 x 60 = 10% p.a.
100 x 6
Now, P = Rs. 16000. T = 3 years and R = 10% p.a.
C.I.
= Rs. 16000 x 1 + 10 3 - 1
100
= Rs. 16000 x 331
1000
= 5296.
E | AquaRat_train |
In how many ways a committee consisting of 4 men and 2 women can be formed from 7 men and 3 women? | [
"B)15",
"A)105",
"E)21",
"D)18"
] | B | Required number of ways = 7C4*3C2 = 35*3 = 105
Answer is A | AquaRat_train |
Express a speed of 54 kmph in meters per second? | [
"18 mps",
"15 mps",
"17 mps",
"12 mps"
] | B | 54 * 5/18
= 15 mps
Answer:C | AquaRat_train |
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together? | [
"8! 4! 4!",
"None",
"3! 8!",
"3! 4! 8! 4!"
] | D | Solution: Taking all person of same nationality as one person, then we will have only three people.
These three person can be arranged themselves in 3! Ways.
8 Indians can be arranged themselves in 8! Way.
4 American can be arranged themselves in 4! Ways.
4 Englishman can be arranged themselves in 4! Ways.
Hence, requi... | AquaRat_train |
Find the probability if a two digit number multiplied by 3 but not 5 | [
"6/15",
"5/15",
"4/15",
"3/15"
] | C | sample space of 2 digit number = (99-10)+1 = 90
probability of number multiplied by 3 but not 5 = total no. multiplied by 3 - total no. multiplied by 5
= 30 - 6=24
so, probability= 24/90 = 4/15
ANSWER:C | AquaRat_train |
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 9000 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was: | [
"12000",
"98000",
"50000",
"9000"
] | C | 100 % - 10 % = 90 %
54%-36%=18%
18% ------> 9000 ( 18 × 500 = 9000)
100% -------> 50000 votes (100 × 500 = 50000)
C | AquaRat_train |
Jane makes toy bears. When she works with an assistant, she makes 70 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent? | [
"80%",
"20%",
"100%",
"180%"
] | A | We can use fractional equivalents here to solve the problem
80% = 4/5; this means that in 1st case if she prepares 5 bears, in 2nd case she prepares 9 bears
10% = 1/10; this means that in 1st case if she needs 10 hours, in 2nd case she needs 9 hours
Now we come to productivity
Based on above fractional values the produ... | AquaRat_train |
Sensory organs that respond to particular sensory stimuli contain cells called what? | [
"stimulus receptor",
"whole receptors",
"sensory receptors",
"artificial receptors"
] | C | Sensory organs such as the eyes contain cells called sensory receptors that respond to particular sensory stimuli. | SCiQ_train |
What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum | [
"Rs 10123.40",
"Rs 10123.30",
"Rs 10123.20",
"Rs 10123.50"
] | C | Explanation:
(25000×(1+12/100)3)
=>25000×28/25×28/25×28/25
=>35123.20
So Compound interest will be 35123.20 - 25000
= Rs 10123.20
Option A | AquaRat_train |
If there is exactly one root of the equation 2x^2 + ax + b, where a and b are positive constants, what is b in terms of a? | [
"a^2/8",
"3a/2",
"a^2/4",
"a/2"
] | A | one root for a quadratic equation ax^2+bx+c is possible only when b^2 = 4ac ---1
Here b = a
c= b
a = 2
substituting these values in 1, we have
a^2 = 8b => b =a^2/8
Answer is D. | AquaRat_train |
A plane travels through the air surrounding a | [
"planet",
"black hole",
"submarine",
"cave"
] | A | MMLU_train | |
Find a sum for 1st 6 prime number's? | [
"30",
"28",
"34",
"41"
] | D | Required sum = (2 + 3 + 5 + 7 + 11 + 13) = 41
Note: 1 is not a prime number
Option A | AquaRat_train |
A man spends 2/5 of his salary on house rent, 3/10 of his salary on food, and 1/8 of his salary on conveyance. if he has Rs 1400 left with him, find his expenditure on food and conveyance | [
"3400",
"3600",
"4000",
"3200"
] | A | If his salary is x, then
x- x*(2/5 +3/10+1/8) =1400
x(1- 33/40) =1400
x= 1400*40/7 = Rs 8000
Expenditure on food and conveyance = 8000*3/10+ 8000*1/8 = 2400+1000 = 3400
ANSWER:B | AquaRat_train |
Sakshi can do a piece of work in 25 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work : | [
"18",
"20",
"15",
"25"
] | B | Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 25 : x ⇒ x = (25x4/5) ⇒ x = 20 days.
Hence,Tanya takes 16 days is complete the work.
Answer B | AquaRat_train |
A certain psychologist charges $25 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $250, what is the total charge to a patient who receives only 2 hours of therapy ? | [
"$150",
"$165",
"$192",
"$115"
] | D | Let the charge for first hour = x+25
then charge for each additional hour = x
x+25 + 4x = 250
=> 5x = 225
=> x = 45
Total charge for patient for 3 hours of therapy = x+25 + x = 2x+25
= 115 $
Answer A | AquaRat_train |
Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10? | [
"7",
"4",
"5",
"3"
] | D | Answer is 3. In the worst case, you could end up drawing 4,5. 7th draw will result in either of 6,7,8,9 which would result in the numbers adding to 10.
A | AquaRat_train |
Which adaptive feature most helps a baby jaguar survive the first few weeks of life? | [
"the ability to roar",
"the ability to hunt",
"a diet of land mammals",
"being born during spring months"
] | D | ai2_arc_train | |
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 2 and 4 slices per customer. How many slices cannot be bought? | [
"42.",
"38.",
"33.",
"22."
] | C | Let X pizzas of 2 slices and Y pizzas of 4 slices.
2X + 4Y.
Lets check options wise.
A. 42 => 2(15) + 4(3)
B. 38 => 2(15) + 4(2)
C. 33 = we can't write anything with 5 and 8 series..Lets try 2(15) + 4(3) = 32 , 2(16) + 4(3) = 34 , nothing works out.
D. 22 => 2(10) + 4(3)
E. 20 => 2(6) + 4(2)
Answer: correct option is C | AquaRat_train |
A flower may consider its entire point in living to be | [
"propagating the animal kingdom",
"making new flowers bloom",
"feeding bees and making honey",
"spreading its genetic components around"
] | D | MMLU_train | |
The average of 8 numbers is 25, that of the first 2 is 20 and of the next three is 26. The sixth number is less than the seventh by 4, and less than the eighth by 6. The last number is | [
"40",
"32",
"30",
"36"
] | C | Explanation :
Sum of all the numbers = 25*8 = 200
Sum of first two numbers = 40
Sum of next three numbers(i.e., 3rd, 4th and 5th) = 78
So, sum of first five numbers = 118 and sum of 6th, 7th and 8th number = 82
Assuming sixth number to be x, we get 7th number = x+4 and 8th number = x+6.
So, x + (x+4) + (x+6) = 82
=> x ... | AquaRat_train |
If a(a + 4) = 21 and b(b + 4) = 21, where a ≠ b, then a + b = | [
"−5",
"−4",
"46",
"48"
] | B | i.e. if a = 3 then b = -7
or if a = -7 then b = 3
But in each case a+b = -7+3 = -4
Answer: option A | AquaRat_train |
If f(c)=c^2 and c is a positive integer, which of the following CANNOT be the value of f(f(c))? | [
"81",
"256",
"300",
"16"
] | C | f(c)=c^2
f(f(c)) = (c^2)^2 = c^4
Therefore f(f(c)) will be numbers that are 4th power of other numbers.
Checking the options:
81 = 3^4
16 = 2^4
300. This cannot be written as the 4th power of any number
256 = 4^4
625 = 5^4
Answer: C | AquaRat_train |
If 'a' and 'b' are non-zero numbers such that their sum is ten times the product, what is the value of 1/a + 1/b? | [
"20",
"15",
"10",
"5"
] | C | a+b = 10ab
1/a + 1/b = (b + a)/(ab) = 10.
The answer is C. | AquaRat_train |
A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? | [
"27",
"21",
"14",
"24"
] | D | I treat such problems as work ones.
Work=Rate*Time
Mileage(m)=Rate(mpg)*Gallons(g)
X gallons is a full tank
{462=RX
{336=(R-9)X solve for R, R=33
33-9=24 mpg
D | AquaRat_train |
Sally is making candy on the stove. She places a thermometer in the candy. What is she measuring? | [
"length",
"speed",
"temperature",
"weight"
] | C | MMLU_train | |
Carbon monoxide poisoning causes death and injuries around the world. This gas is a problem in all parts of the world that experience cold weather. A few years ago, America's Centers for Disease Control (C. D. C.) studied deaths linked with carbon monoxide poisoning. It found that the number of carbon monoxide deat... | [
"burning eyes",
"bad cough",
"serious headache",
"high fever"
] | C | MMLU_train | |
A company has 16 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter? | [
"1940",
"1860",
"1820",
"1780"
] | C | 16C4=1820
The answer is B. | AquaRat_train |
Millions of stars are travelling about in space. A few form groups which travel together, but most of them travel alone. And they travel through a universe which is so large that one star seldom comes near to another. For the most important part each star makes its journey in complete loneliness, like a ship on an empt... | [
"the large tidal wave",
"the powerful tidal pull",
"the star coming near the sun",
"one of sun's planets"
] | C | MMLU_train | |
Two trains are moving in the same direction at 50 km/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of faster train. | [
"8167 meter",
"100 meter",
"1787 meter",
"1768 meter"
] | B | ANSWER: B | AquaRat_train |
What effect occurs when a few individuals start, or found, a new population? | [
"convergent",
"pioneer",
"divergent",
"founder"
] | D | Founder effect occurs when a few individuals start, or found, a new population. By chance, allele frequencies of the founders may be different from allele frequencies of the population they left. An example is described in the Figure below . | SCiQ_train |
Which of these shows the correct order for the central dogma of molecular biology? | [
"DNA to protein to RNA",
"RNA to DNA to protein",
"protein to DNA to RNA",
"DNA to RNA to protein"
] | D | ai2_arc_train | |
Further transformation occurs during organogenesis, the formation of what? | [
"arteries",
"bones",
"organs",
"muscles"
] | C | SCiQ_train | |
If x = y+3+4.5x and y = x+24, what is the value of x/y ? | [
"-1/2.",
"-6/5.",
"1.5.",
"-7/20."
] | A | (1) x = y + 3 + 4.5x
Substitute y for y = x + 24 (Eq. we are given)
x = x + 24 + 3 + 4.5x
Combine like terms
x = 5.5x + 27 --> -4.5x = 27--> x = -6
(2) y = x + 18
Substitute x for x = -6
y = (-6) + 18 = 12
(3) x/y = ?
Substitute x and y we found above
x/y = (-6) / (12) = -1/2
My answer: C | AquaRat_train |
What is the name of vesicles that are formed by the golgi apparatus? | [
"vessels",
"capillaries",
"lysosomes",
"lymphocytes"
] | C | Lysosomes are vesicles that are formed by the Golgi apparatus. They contain powerful enzymes that could break down (digest) the cell. Lysosomes break down harmful cell products, waste materials, and cellular debris and then force them out of the cell. They also digest invading organisms such as bacteria. Lysosomes also... | SCiQ_train |
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 2,450. What was Simran share in the profit? | [
"s 14,000",
"s 1,050",
"s 9500",
"s 1000"
] | B | Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.
Simran's share = Rs.2450 x 3/7 = Rs. 1,050.
ANSWER :C | AquaRat_train |
When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 80 percent of the garments in the shipment pass? | [
"5",
"8",
"7",
"6"
] | D | B = 9
2/3x= 20
x=30
for 80% approval we need 24 garments approved.
already approved = 18
we need 6 more.
Answer : A | AquaRat_train |
For covering 88km a wheel revolve 1000 times.what is the radius of wheel? | [
"24 m",
"40 m",
"14 m",
"28 m"
] | D | distance travel in 1 round=88000/1000m=88 m
perimeter=88 m,2πr=88,2R=[88*7/22]=28 m
hence, diameter=28 m
answer C | AquaRat_train |
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose? | [
"150",
"240",
"100",
"120"
] | D | Let x be the number he chose, then
2⋅x−138=102
2x=240
x=120
So answer is B | AquaRat_train |
The potential of what can be used to measure the ph of a solution? | [
"galvanic cell",
"stimulation cell",
"symbiotic cell",
"electrodes cell"
] | A | Thus the potential of a galvanic cell can be used to measure the pH of a solution. Exercise Suppose you work for an environmental laboratory and you want to use an electrochemical method to measure the concentration of Pb2+ in groundwater. You construct a galvanic cell using a standard oxygen electrode in one compartme... | SCiQ_train |
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: | [
"9600",
"9400",
"9700",
"9800"
] | A | Explanation:
Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
ANSWER IS C | AquaRat_train |
When 33 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true? | [
"5",
"4",
"1",
"2"
] | A | This means that 30 must be a multiple of k.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Out of these, k can be 5, 6, 10, 15, and 30.
The answer is E. | AquaRat_train |
f a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: | [
"50 km",
"10 km",
"25 km",
"30 km"
] | A | Explanation:
Let the actual distance travelled be x km.
Then, x/10=x+20/14
14x = 10x + 200
4x = 200
x = 50 km.
ANSWER:B | AquaRat_train |
Find a if (ax3 + 3x2 - 3) and (2x3 - 5x + a) when divided by (x-4) leave same rmainder? | [
"1",
"5",
"3",
"6"
] | A | remainders are,
R1 = f(4) = a(4)3+ 3(4)2-3= 64a+45
R2 = f(4) = 2(4)3- 5(4) + a= a +108
Since R1= R2
64a +45= a+108 => 63a = 63 => a =1
A | AquaRat_train |
At a party, there were five ten as many females as males and four times as many adults as children. Which of the following could be the number of people at the party? | [
"258",
"216",
"384",
"120"
] | D | Five times as many females as males --> F = 10M.
Three times as many adults as children --> (F + M) = 4C.
The number of people at the party = F + M + C = 4C + C = 5C.
The number of people at the party must be a multiple of 5. The only answer choice which is a multiple of 5 is D.
Answer: D. | AquaRat_train |
Write 880,000,000,000 in scientific notation. | [
"800.900 * 10^11",
"80.9000* 10^11",
"08.900 * 10^11",
"8.8 * 10^11"
] | D | a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer.
880,000,000,000 = 8.8* 100,000,000,000 = 8.8 * 10 11**
correct answer A | AquaRat_train |
The slant height of a cone is 10 cm and radius of the base is 5cm, find the curved surface of the cone? | [
"155",
"190",
"157",
"150"
] | C | π * 10 * 5
= 157
Answer:D | AquaRat_train |
In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,000 more votes to win the election, what is the value of x ? | [
"63",
"50",
"56",
"50.5"
] | D | Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 30 votes
he needs 3571 more votes so : 30+3000= 3030
Now what's the problem wants ?? a x %........3030 is what % of total votes 6000........translating... | AquaRat_train |
Of 600 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B? | [
"25",
"20",
"75",
"35"
] | C | Say the number of students who read book A is A and the number of students who read book B is B.
Given that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.
Since each student read at least one of th... | AquaRat_train |
8900 ÷ 6 ÷ 4 = ? | [
"370.833",
"541.75",
"349",
"None of these"
] | A | Explanation:
Given Exp. 8900 * 1/6 * 1/4
= 370.833
ANSWER: D | AquaRat_train |
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 38, the dividend is: | [
"3644",
"3636",
"3864",
"3648"
] | D | Divisor = (5 * 38) = 190
= 10 * Quotient = Divisor
=> Quotient = 190/10 = 19
Dividend = (Divisor * Quotient) + Remainder
Dividend = (190 * 19) + 38 = 3648.
A | AquaRat_train |
Cole drove from home to work at an average speed of 60 kmh. He then returned home at an average speed of 100 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work? | [
"78",
"66",
"72",
"75"
] | D | Let the distance one way be x
Time from home to work = x/60
Time from work to home = x/100
Total time = 2 hrs
(x/60) + (x/100)= 2
Solving for x, we get x = 75
Time from home to work in minutes= (75)*60/60 = 75 minutes
Ans= D | AquaRat_train |
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