id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
0909f1b2-9eb6-44c2-b3d0-c93d579ebbe3 | Evaluate :
28% of 400 + 45 % of 250 | [
"A)220.3",
"B)224.5",
"C)190.3",
"D)150",
"E)None of these"
] | B)224.5 | aqua_rat |
295297ec-11dd-4334-86ec-8496fa5ab081 | Each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 45? | [
"A)1/16",
"B)5/42",
"C)1/8",
"D)3/16",
"E)1/4"
] | B)5/42 | aqua_rat |
0f1f5ef3-b684-49c1-b217-db8af6c2a983 | At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/6 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades a... | [
"A)12 greater",
"B)12 fewer",
"C)28 fewer",
"D)36 fewer",
"E)44 fewer"
] | B)12 fewer | aqua_rat |
e8adbfbd-d91a-4d66-ae53-b1b9bd25c6e9 | If x-y=8, which of the following must be true?
I. If x is negative, y must be negative
II. If x is positive, y must be positive
III.Both x and y are positive | [
"A)I only",
"B)II only",
"C)III only",
"D)I and II",
"E)II and III"
] | A)I only | aqua_rat |
aac359b0-938b-4adb-aaab-23fe223f8c01 | Runner A passed a post running at a constant speed of 50 miles per hour. Then, 15 minutes later, Runner B passed the same post at a constant speed of 60 miles per hour. If both runners maintained their speeds and both remained on the highway for at least 2 hours, how long after Runner B passed the gas station did he ca... | [
"A)30 min",
"B)45 min",
"C)1 hr",
"D)1 hr 15 min",
"E)1 hr 30 min"
] | D)1 hr 15 min | aqua_rat |
c72db225-9f21-491f-a8f4-467ff7f5b535 | At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.70. What is the price of 2 doughnuts? | [
"A)$ 0.55",
"B)$ 1.00",
"C)$ 1.10",
"D)$ 1.30",
"E)$ 1.80"
] | C)$ 1.10 | aqua_rat |
169beffb-1c1d-400d-9aed-1bac5872283e | Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 2.95, and c = 3.75, what is y – x? | [
"A)-0.1",
"B)0",
"C)0.2",
"D)0.1",
"E)0.3"
] | C)0.2 | aqua_rat |
07873931-c513-4b57-8e80-4e5819b097ad | In track last week, the boys ran 34 laps. The girls ran 20 more
laps. Each lap is a 1/6th of a mile. How many miles did the girls run? | [
"A)9 miles",
"B)10 miles",
"C)11 miles",
"D)12 miles",
"E)13 miles"
] | A)9 miles | aqua_rat |
9f6bfa64-bd50-4914-83fd-61fb5ad684bb | A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible? | [
"A) 2",
"B) 4",
"C) 6",
"D) 8",
"E) 10"
] | A) 2 | aqua_rat |
363c8376-db94-495e-b36b-e71f84b1d8d5 | A and B invests Rs.3000 and Rs.10000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? | [
"A)9:6",
"B)9:8",
"C)9:20",
"D)9:9",
"E)9:5"
] | C)9:20 | aqua_rat |
bf91e337-7009-4d8a-a2dc-52579697b6a1 | Which of the following fractions T has a decimal equivalent that is a terminating decimal? | [
"A)10/189",
"B)15/196",
"C)16/225",
"D)25/144",
"E)39/128"
] | E)39/128 | aqua_rat |
4d4ceca5-7a48-4804-9de6-00b1e321c494 | In a simultaneous throw of a pair of dice, find the probability of getting a total more than 5 | [
"A)1/2",
"B)7/12",
"C)5/13",
"D)5/12",
"E)3/8"
] | E)3/8 | aqua_rat |
4cb288bb-a08b-4969-9672-b8a0a9b89fbf | Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is | [
"A)5/17",
"B)5/12",
"C)5/19",
"D)5/29",
"E)5/13"
] | B)5/12 | aqua_rat |
ec55e449-0d0c-44a1-bc1a-b5e65db83dec | In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate? | [
"A)69",
"B)70",
"C)71",
"D)72",
"E)73"
] | D)72 | aqua_rat |
ddfdb942-d60d-4d3b-82bd-8f9dd66dd6f0 | If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively: | [
"A)Rs.260",
"B)Rs.360",
"C)Rs.350",
"D)Rs.364",
"E)Rs.362"
] | B)Rs.360 | aqua_rat |
9bcd0e6b-454a-4ade-8f80-c9168c10f3cc | How many different ways can 2 students be seated in a row of 4 desks, so that there is always at least one empty desk between the students? | [
"A)2",
"B)3",
"C)4",
"D)6",
"E)12"
] | D)6 | aqua_rat |
092f600a-9d8d-4158-9e8e-a863f74bb5f6 | A women in her conversation said " if u reverse my own age, in figures represent my husbands age. he is of course senior to me and difference between our age is one 0ne-eleventh of their sum. what is the woman's and her husbands age? | [
"A)45,54",
"B)46,57",
"C)84,57",
"D)34,58",
"E)52,54"
] | A)45,54 | aqua_rat |
905d5ec1-2aef-4e7e-947e-70e0b2aa9033 | A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? | [
"A)150",
"B)88",
"C)77",
"D)62",
"E)52"
] | A)150 | aqua_rat |
569d01bf-afa7-4288-96a1-f8192da71f75 | A certain barrel, which is a right circular cylinder, is filled to capacity with 200 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil i... | [
"A)There is no empty capacity",
"B)1100 gallons",
"C)1300 gallons",
"D)1400 gallons",
"E)1800 gallons"
] | D)1400 gallons | aqua_rat |
0f4f0c0a-1922-4425-b5e5-6c22bcbf6310 | Gautami went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items? | [
"A)Rs. 99.50",
"B)Rs. 70.50",
"C)Rs. 89.50",
"D)Rs. 69.50",
"E)Rs. 80.50"
] | C)Rs. 89.50 | aqua_rat |
371252db-8369-4169-ab36-e9c74f7331f3 | When a student Joe, weighing 40 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the we... | [
"A)5 kg",
"B)11 kg",
"C)30 kg",
"D)36.5 kg",
"E)71 kg"
] | A)5 kg | aqua_rat |
0660ae89-2499-4f36-86dc-979e9e70b8aa | Three men A, B and C working together can do a work in 17 days. They start the work together and A works for 5 days and takes rest on the sixth day, B works for 5 days and takes rest on the next two days and C works for 8 days and takes rest on the next three days. In how many days will the work be completed ? (A, B, C... | [
"A)24 days",
"B)23 days",
"C)22 days",
"D)21 days",
"E)20 days"
] | C)22 days | aqua_rat |
228bfb00-3efc-4fae-8b40-defd9750fba2 | A double decked bus can accomodate 100 passengers,40 in the upper deck and 60 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck? | [
"A)1. 85!50!60!/40!45!",
"B)2. 75!/30!45!",
"C)3. 110!/50!60!",
"D)4. 110!50!60!/40!45!",
"E)5. 110!/40!45!"
] | B)2. 75!/30!45! | aqua_rat |
31d5b2e2-4a54-48fc-a337-2e23cd2696e9 | In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the six row? | [
"A)12",
"B)14",
"C)16",
"D)18",
"E)20"
] | C)16 | aqua_rat |
f58fc3a2-1518-4315-aa89-b8b9c3e8c185 | If the height of a cone is increased by 100% then its volume is increased by? | [
"A)200%",
"B)300%",
"C)100%",
"D)500%",
"E)350%"
] | C)100% | aqua_rat |
a044dd40-85bf-4e36-b049-4dbc5259e476 | A number is doubled and 5 is added. If the resultant is trebled, it becomes 135. What is that number? | [
"A)12",
"B)29",
"C)20",
"D)15",
"E)99"
] | C)20 | aqua_rat |
812c15bc-29c4-4926-80ce-2c50fd41a04c | If M = s% of t and N = t% of s, then which of the following is true? | [
"A)M is equal to N",
"B)M is smaller than N",
"C)M is greater than N",
"D)none of these",
"E)Cannot be determined"
] | A)M is equal to N | aqua_rat |
e6f012ab-d78d-40ae-8179-3e1ed9079d09 | The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is? | [
"A)8",
"B)7",
"C)6",
"D)5",
"E)2"
] | A)8 | aqua_rat |
614f96ee-c5b6-4581-a5ea-ed878ed06309 | Distance between 2 places A and B is given. A man P starts from place A at 9 pm and another man Q goes from B at 10pm . Speed of Q is double of that of P. Both cover 1/4 dist in the same time interval. then A travels the entire dist in time | [
"A)8hrs",
"B)9hrs",
"C)10hrs",
"D)11hrs",
"E)12hrs"
] | A)8hrs | aqua_rat |
f96c04b9-272e-4a98-a357-4d2bcfb31ffd | The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? | [
"A)1:96",
"B)1:99",
"C)1:95",
"D)1:12",
"E)1:11"
] | A)1:96 | aqua_rat |
8b49fa64-c922-42bd-bb97-30585fea6a07 | In the game of Dubblefud, red chips, blue chips and green chips are each worth 1,2 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 15, 000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection? | [
"A)10",
"B)20",
"C)30",
"D)40",
"E)50"
] | C)30 | aqua_rat |
73656503-1619-4465-b7cb-2d52eabfc680 | Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it? | [
"A)58 kg",
"B)60 kg",
"C)64 kg",
"D)70 kg",
"E)None"
] | C)64 kg | aqua_rat |
3b361fcf-427a-4d8d-97c8-2a3877a7f021 | If x+y=10, x-y=18, for integers of x and y, x=? | [
"A)14",
"B)15",
"C)25",
"D)13",
"E)42"
] | A)14 | aqua_rat |
12d630f7-41ba-4f47-b8f4-8734824296cd | (1^2+2^2+3^2+.....+7^2)=? | [
"A)330",
"B)345",
"C)365",
"D)140",
"E)None of them"
] | D)140 | aqua_rat |
3a8a6d74-6942-46c1-970f-d9ecb1706b7d | What is the area of an equilateral triangle whose one side length is 50? | [
"A)225√3",
"B)325√3",
"C)425√3",
"D)525√3",
"E)625√3"
] | E)625√3 | aqua_rat |
15eb0609-88f3-4e27-95f8-5258a0bd4e02 | Two thirds of the roads from A to B are at least 5 miles long, and 3/4 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long? | [
"A)1/6",
"B)1/4",
"C)2/3",
"D)3/4",
"E)11/12"
] | E)11/12 | aqua_rat |
1fcb1251-53a8-4cdf-8233-2c0f3ad48a0a | If a - b = 3 and a2 + b2 = 29, find the value of ab? | [
"A)10",
"B)12",
"C)14",
"D)17",
"E)18"
] | A)10 | aqua_rat |
eb417dc4-f876-4032-95df-df0bbcc69ece | 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.210 only. Men’s wages are? | [
"A)6Rs",
"B)2Rs",
"C)4Rs",
"D)9Rs",
"E)14Rs"
] | E)14Rs | aqua_rat |
4735a121-5ac3-419d-aab0-87a48ad264ef | a man can row 20 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream | [
"A)13 km/hr.",
"B)6 km/hr.",
"C)9 km/hr.",
"D)15 km/hr.",
"E)10 km/hr."
] | E)10 km/hr. | aqua_rat |
53f34551-e710-4ad4-8efe-43f2cb0869c4 | A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order R? (1 cubic meter = 1,000 liters) | [
"A)92",
"B)90",
"C)82",
"D)78",
"E)75"
] | E)75 | aqua_rat |
f55914b5-980c-47dc-b407-38f008b12061 | An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 22 gallons of ethanol, how many gallons of fuel A were added? | [
"A)160",
"B)150",
"C)250",
"D)80",
"E)50"
] | C)250 | aqua_rat |
c1abac31-beac-4243-8a17-445e28637e51 | A certain team has 16 members, including Joey. A three-member relay team will be selected as follows: one of the 16 members is to be chosen at random to run first, one of the remaining 15 members is to be chosen at random to run second, and one of the remaining 14 members is to be chosen at random to run third. What is... | [
"A)1/4",
"B)2/5",
"C)1/6",
"D)2/7",
"E)1/8"
] | E)1/8 | aqua_rat |
5c9de285-859c-4699-a985-55299d2a9a67 | There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 780. The number of hares in the zoo is? | [
"A)190",
"B)199",
"C)77",
"D)66",
"E)221"
] | A)190 | aqua_rat |
b0be2092-75d5-4ed7-8822-bc1f6652a9c1 | How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board? | [
"A)90",
"B)99",
"C)97",
"D)95",
"E)65"
] | B)99 | aqua_rat |
6ddba54d-495b-43fd-a249-edc224796881 | A boy has five trousers and 15 shirts. In how many different ways can he select a trouser and a shirt? | [
"A)75 ways",
"B)87 ways",
"C)66 ways",
"D)108 ways",
"E)21 ways"
] | A)75 ways | aqua_rat |
1436d37d-2e09-4f40-846c-b244d328efcd | Three candidates contested an election and received 1000, 2000 and 4000votes respectively. What percentage of the total votes did the winning candidate got? | [
"A)30%",
"B)50%",
"C)57%",
"D)62%",
"E)75%"
] | C)57% | aqua_rat |
afa7ee8c-d75c-4c38-ba9f-c707c5031e58 | A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 120 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start? | [
"A)3",
"B)4",
"C)6",
"D)8",
"E)10"
] | C)6 | aqua_rat |
5477fc49-d49f-4da2-bd4d-bd5713fb53f1 | How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4? | [
"A)27",
"B)25",
"C)24",
"D)20",
"E)22"
] | E)22 | aqua_rat |
20477a6a-3796-4145-bfd5-9c600db74e6b | Including Cara and Dan, there are five members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan? | [
"A)2/3",
"B)1/2",
"C)1/3",
"D)2/4",
"E)2/5"
] | B)1/2 | aqua_rat |
b8640abb-15c9-46ad-be73-34d50158532f | There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? | [
"A)Rs. 3932",
"B)Rs. 3972",
"C)Rs. 3372",
"D)Rs. 3942",
"E)Rs. 3772"
] | C)Rs. 3372 | aqua_rat |
5183c759-76e8-4de6-9703-9d8b45327e57 | The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %? | [
"A)18%",
"B)19%",
"C)68%",
"D)19%",
"E)38%"
] | A)18% | aqua_rat |
307c0148-933a-4d00-92d3-0d04ea1f6ad9 | Two pipes A and B can fill a tank in 15 min and 27 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank? | [
"A)14 min 19 sec",
"B)14 min 42 sec",
"C)18 min 24 sec",
"D)14 min 40 sec",
"E)14 min 10 sec"
] | C)18 min 24 sec | aqua_rat |
93ea5337-c1c8-488f-a20d-72994d238903 | Lake A has a duck population of 30 females and 35 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following? | [
"A)144",
"B)105",
"C)78",
"D)51",
"E)36"
] | C)78 | aqua_rat |
ac315f8f-b7f0-422f-945d-e20e4ab1201a | Which of the following numbers is between 2⁄5 and 1⁄4? | [
"A).45",
"B).35",
"C).23",
"D).22",
"E).20"
] | B).35 | aqua_rat |
76d02892-6604-4102-9cc1-6889f8654bd0 | In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. The age of the new boy is ? | [
"A)14 years 8 months",
"B)15 years",
"C)16 years 4 months years",
"D)17 years 10 months years",
"E)None"
] | A)14 years 8 months | aqua_rat |
72f0dcab-5c1c-4b96-9b6c-1f7d2521fdf0 | If d is the mean of x, y, and z, what is the mean x - 5, y - 5, z - 5 ? | [
"A)d",
"B)3d",
"C)15d",
"D)d - 5",
"E)d + 15"
] | D)d - 5 | aqua_rat |
20abb06f-543d-4a81-8484-901751e5e390 | Yearly subscription to professional magazines cost a company $940.00. To Make a 30% cut in the magazine budget, how much less must be spent? | [
"A)654",
"B)655",
"C)656",
"D)657",
"E)658"
] | E)658 | aqua_rat |
8e7a6983-7c18-428f-a830-7359f788b3d3 | A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? | [
"A)180",
"B)270",
"C)360",
"D)500",
"E)550"
] | B)270 | aqua_rat |
e53bda6c-3e1c-4ba8-a637-d180daac819f | what is the remainder when 45820 is divided by 45 | [
"A)8",
"B)15",
"C)25",
"D)10",
"E)5"
] | D)10 | aqua_rat |
bfe163d5-12ec-4a7f-af51-d65628877dbe | Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 6 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today? | [
"A)$10,350",
"B)$10,494",
"C)$10,500",
"D)$11,500",
"E)$12,705"
] | B)$10,494 | aqua_rat |
cf80b06d-4cf3-43bf-8354-cc1825f2b6b3 | A, B and C enter into a partnership by investing Rs. 15000, Rs.21000 and Rs.27000 respectively. At the end of 8 months, B receives Rs.1260 as his share. Find the share of A. | [
"A)Rs. 600",
"B)Rs. 1620",
"C)Rs. 1080",
"D)Rs. 900",
"E)None of these"
] | D)Rs. 900 | aqua_rat |
a8d1b3e2-fb6d-45fb-9088-d864ed905e52 | If two pipes function simultaneously, the reservoir will be filled in 12 days.One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir. | [
"A)53 hours",
"B)13 hours",
"C)30 hours",
"D)43 hours",
"E)45 hours"
] | C)30 hours | aqua_rat |
4cee22bb-7bac-4c6f-be8c-c41a31b11946 | Megala bought an electric drill at 85% of the regular price.
She paid $850 for the drill. What was the regular price? | [
"A)$1000",
"B)$1869",
"C)$3869",
"D)$5869",
"E)$4869"
] | A)$1000 | aqua_rat |
edc718e3-0442-4ff4-ba72-1322c0cd0533 | 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: | [
"A)34299",
"B)28789",
"C)15000",
"D)28999",
"E)15022"
] | C)15000 | aqua_rat |
5e4ce1b0-7d62-446f-90ee-dc25613b6bbb | What is the Compound Interest on Rs.8500 at 7.5% p.a. compounded half-yearly for 2 1/2 years. | [
"A)1409.85",
"B)1717.85",
"C)1427.85",
"D)2717.85",
"E)1817.85"
] | B)1717.85 | aqua_rat |
2ddd7c72-f55e-42c5-bc97-eab6864b4d0e | An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
-- | [
"A)12",
"B)19",
"C)60",
"D)180",
"E)720"
] | E)720 | aqua_rat |
84de1f9a-86b8-479e-b129-6f298e16aadd | Find the odd man out
3,12, 24,48, 56, 96 | [
"A)48",
"B)8",
"C)16",
"D)56",
"E)2"
] | D)56 | aqua_rat |
876d4cee-8d9f-4f1e-b91b-6266e831d34c | Two bullet train s 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is: | [
"A)15.8 sec.",
"B)12.6 sec.",
"C)11.8 sec.",
"D)10.8 sec.",
"E)08.8 sec."
] | B)12.6 sec. | aqua_rat |
0a872033-2ccb-427c-b215-2c2a42f864d2 | A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A & B leaves after 2 days simultaneously from the beginning. How long will work lost? | [
"A)14 1/3",
"B)10 1/3",
"C)11 1/3",
"D)12 1/3",
"E)13 1/3"
] | E)13 1/3 | aqua_rat |
d63b10e3-c003-45c0-ba99-9c150679ea0e | A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total ... | [
"A)63^4",
"B)62^5",
"C)62(62^4)",
"D)66(65^4)",
"E)63(62^6)"
] | D)66(65^4) | aqua_rat |
aef22292-21d6-4501-8ac3-69c0a887108c | 155 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4? | [
"A)12 liters",
"B)62 liters",
"C)41 liters",
"D)50 liters",
"E)34 liters"
] | B)62 liters | aqua_rat |
d2d80d43-14c8-4505-8bd7-8b1bc9e1b8d6 | Let a be a positive integer. If q is divisible by 2^a and q is also divisible by 3^(2a), then it is possible that q is NOT divisible by | [
"A)6",
"B)3 × 2^a",
"C)2 × 3^(2a)",
"D)6^a",
"E)6^(2a)"
] | E)6^(2a) | aqua_rat |
cd466e40-3c35-4eef-8b31-c5c58e8eb887 | A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 55% probability that engine two will work. The third engine works... | [
"A) 7/12",
"B) 1/4",
"C) 1/2",
"D) 7/24",
"E) 17/24"
] | C) 1/2 | aqua_rat |
e8a635fc-ce3a-451e-a968-15f88bfc60d7 | A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is | [
"A)2 mph",
"B)2.5 mph",
"C)3 mph",
"D)4 mph",
"E)None"
] | A)2 mph | aqua_rat |
ba359e54-ec49-4f43-ac3d-e7d4247a2533 | A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? | [
"A)22 1/9 kmph",
"B)22 8/2 kmph",
"C)22 1/8 kmph",
"D)22 1/2 kmph",
"E)22 1/4 kmph"
] | D)22 1/2 kmph | aqua_rat |
46eb8c16-f8ee-4df8-abba-6d3e34eee0fe | Find the value of 10 + 2 • (8 – 3) | [
"A)25",
"B)13",
"C)17",
"D)20",
"E)15"
] | D)20 | aqua_rat |
9151ff15-83b1-4b0e-b4ba-eb76b43fe4ee | A person crosses a 300 m long street in 4 minutes. What is his speed in km per hour? | [
"A)1.6",
"B)4.5",
"C)8.2",
"D)6.5",
"E)2.9"
] | B)4.5 | aqua_rat |
e9d46841-902f-4fed-b55d-0de0d30db1d0 | At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Raja,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 420, respectively, who... | [
"A)Baskar",
"B)They have equal popularity",
"C)Dinesh",
"D)Raja",
"E)Kamal"
] | C)Dinesh | aqua_rat |
08841a1d-33fb-46c6-8408-983e7431eb7f | The radius of a wheel is 25.4 cm. What is the distance covered by the wheel in making 500 resolutions? | [
"A)724 m",
"B)798.3 m",
"C)287 m",
"D)278 m",
"E)927 m"
] | B)798.3 m | aqua_rat |
2bd43a81-15fe-4c0a-bdd9-c0dec8ed1764 | 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are? | [
"A)6Rs",
"B)2Rs",
"C)4Rs",
"D)9Rs",
"E)3Rs"
] | A)6Rs | aqua_rat |
8925a44c-9d94-4ec6-a66e-6f8cbad4dbf7 | Two brothers took the exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of Y/X ? | [
"A)3",
"B)2.",
"C)1/2.",
"D)1/3.",
"E)There isn't enough data to answer the question"
] | D)1/3. | aqua_rat |
fc57a945-39d8-49ff-9bef-056a87b61ca1 | The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common? | [
"A)10 and 50",
"B)12 and 18",
"C)24 and 64",
"D)21 and 63",
"E)22 and 44"
] | C)24 and 64 | aqua_rat |
cb015d46-f5b4-4b60-825e-e514c2bb5db8 | Rahul went to a shop and bought things worth Rs. 28, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | [
"A)Rs 15",
"B)Rs 12.10",
"C)Rs 22.70",
"D)Rs 26.80",
"E)None of these"
] | C)Rs 22.70 | aqua_rat |
e310b840-9ad3-4848-a691-ad2c201d53c2 | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? | [
"A)16 : 5",
"B)14 : 5",
"C)16 : 7",
"D)19 : 5",
"E)None of these"
] | D)19 : 5 | aqua_rat |
49d79a1d-72d5-479e-8757-8d623450183a | A walks around a circular field at the rate of one round per hour while B runs around it at the rate of three rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after ___ minutes? | [
"A)11 min",
"B)12 min",
"C)10 min",
"D)15 min",
"E)30 min"
] | E)30 min | aqua_rat |
457950e7-010c-47ed-9d35-499d22c8a266 | 0, 1, 5, 14, 30, ____ | [
"A)25",
"B)35",
"C)45",
"D)65",
"E)55"
] | E)55 | aqua_rat |
49acece7-1e2a-41e0-8dd9-7f0269742876 | What is the least number of digits (including repetitions) needed to express 10^300 in decimal notation? | [
"A)a) 4",
"B)b) 100",
"C)c) 301",
"D)d) 1000",
"E)e) 1001"
] | C)c) 301 | aqua_rat |
95088830-1698-44b3-b062-1f220533b0f2 | A train 120 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train. | [
"A)67 kmph",
"B)50 kmph",
"C)55 kmph",
"D)60 kmph",
"E)70 kmph"
] | A)67 kmph | aqua_rat |
8d818c1e-47ad-45c8-8683-da12c31fdc1e | A boat can move upstream at 25 kmph and downstream at 31 kmph, then the speed of the current is? | [
"A)3",
"B)6",
"C)7",
"D)54",
"E)8"
] | A)3 | aqua_rat |
1d68bb76-dcc6-458e-abdf-69b8111f2f19 | 9 - 3 ÷ 1/3 + 1 = ? | [
"A)1",
"B)3",
"C)6",
"D)9",
"E)12"
] | A)1 | aqua_rat |
bfd54bfb-ce80-4041-9768-c4b3e6a53695 | In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 72%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass? | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)5"
] | D)4 | aqua_rat |
261bf44f-ab78-459e-a303-52564efeaa0c | A basket contains 7 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple? | [
"A)1/5",
"B)2/7",
"C)2/9",
"D)3/5",
"E)4/11"
] | B)2/7 | aqua_rat |
0e82ecfa-cfe3-4eb4-8fac-229b71ddbd91 | Find the number of elements in the power set of {1,2} | [
"A)4",
"B)0",
"C)2",
"D)3",
"E)5"
] | A)4 | aqua_rat |
51d3440b-a7d7-4046-8b6d-7e4a8306ba74 | A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 8 is | [
"A)189",
"B)197",
"C)221",
"D)227",
"E)230"
] | A)189 | aqua_rat |
6c4107c5-73ee-442b-b244-e211c80edcf2 | The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? | [
"A)28 cm2",
"B)27 cm2",
"C)29 cm2",
"D)25 cm2",
"E)35 cm2"
] | E)35 cm2 | aqua_rat |
09970073-54be-4ddc-9ca8-125c143b92bb | A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 5 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slo... | [
"A)2,100",
"B)4,200",
"C)5,040",
"D)20,520",
"E)84,000"
] | A)2,100 | aqua_rat |
9b48e06d-4164-4cf1-833f-d8cbc109a34c | Two cars start from the same places in opposite directions. One is going towards north at 60 kmph and the other is going towards south 40kmph. What time will they take to be 100km apart? | [
"A)1hr",
"B)2hrs",
"C)3hrs",
"D)4hrs",
"E)5hrs"
] | A)1hr | aqua_rat |
134a10ae-94a4-4f41-b119-d2b9675a46cb | Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team Z, but each box of Team A’s has 60% fewer booklets than each box of Team Z’s. Which of the following could be the total number of booklets distributed by the two groups? | [
"A)2,000",
"B)3,200",
"C)4,100",
"D)4,800",
"E)4,900"
] | C)4,100 | aqua_rat |
cc1741a0-d563-45f1-82df-d4ad52b1cf7d | Which of the following can be expressed as a terminating decimal? | [
"A)1/25 + 1/35",
"B)1/225 + 1/1,250",
"C)1/11,000 + 1/13,000",
"D)1/75 + 1/35",
"E)1/125 + 1/8"
] | E)1/125 + 1/8 | aqua_rat |
4be1adb0-5269-40b4-a266-80a297fc78bf | The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers ha... | [
"A)87",
"B)95",
"C)99",
"D)100",
"E)103"
] | C)99 | aqua_rat |
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