id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
8ad2b429-325c-44da-998f-9439ea97ed03 | A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 340 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra? | [
"A) 40",
"B) 110",
"C) 120",
"D) 130",
"E) 220"
] | A) 40 | aqua_rat |
7571bb58-d7dc-4551-9747-42fd2659e46b | The wages earned by Robin is 40% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin? | [
"A)14%",
"B)23%",
"C)30%",
"D)50%",
"E)100%"
] | A)14% | aqua_rat |
6d84b8c6-49ac-4317-a5f1-8e9aabf0fcae | In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons? | [
"A)A)160",
"B)B)170",
"C)C)190",
"D)D)30",
"E)E)230"
] | D)D)30 | aqua_rat |
64b64b3d-45cd-4414-b028-ca8de421ee0e | Divide Rs.32000 in the ratio 3:9? | [
"A)12000, 20000",
"B)12000, 200098",
"C)12000, 20007",
"D)12000, 20006",
"E)8000, 24000"
] | E)8000, 24000 | aqua_rat |
0b40b2a4-84cd-469d-933a-ab42cbd2b173 | 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. In how many ways can it be done | [
"A)456",
"B)556",
"C)656",
"D)756",
"E)None of these"
] | D)756 | aqua_rat |
18973b70-5a0e-4ceb-89e5-1f4be873d5fc | Dhoni spends $300 buying his favorite dolls. If he buys only small Monkey dolls, which are $2 cheaper than the large Monkey dolls, he could buy 25 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost? | [
"A)$6.5",
"B)$6",
"C)$7",
"D)$8",
"E)$9"
] | B)$6 | aqua_rat |
0e779eb2-17c8-41f6-adc6-cf923e57ab25 | John and David can finish a job together in 1 hours. If John can do the job by himself in 2 hours, what percent of the job does David do? | [
"A)40%",
"B)45%",
"C)50%",
"D)55%",
"E)60%"
] | C)50% | aqua_rat |
1666c5f5-2f74-4166-b18d-4f9ee8bab030 | B as a percentage of A is equal to A as a percentage of (A+B). Find B as a percentage of A. | [
"A)62%",
"B)73%",
"C)41%",
"D)71%",
"E)None of these"
] | A)62% | aqua_rat |
a61284c2-18ad-4885-9723-fb872ce399c5 | The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 8100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? | [
"A)140 sq.units",
"B)360 sq.units",
"C)367sq.units",
"D)178sq.units",
"E)176sq.units"
] | B)360 sq.units | aqua_rat |
c85051ae-8c95-4ecb-a350-e4262dc97b06 | At a certain store, the price of a pair of shoes is thirty dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a ... | [
"A)1.5j + 10",
"B)3j + 20",
"C)8.5j + 75",
"D)5.5j + 30",
"E)8.5j + 50"
] | C)8.5j + 75 | aqua_rat |
c6182698-6819-4a5a-a148-1327ee2e61b7 | The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 192,000. What was the percent increase in the cost of the home? | [
"A)60%",
"B)50%",
"C)55%",
"D)40%",
"E)33.3%"
] | A)60% | aqua_rat |
2c1c0355-f21e-41d4-b793-9b2fa55ba5e0 | The ratio between the speeds of two trains is 8 : 9. If the second train runs 405 kms in 5 hours, then the speed of the first train is | [
"A)87.5 km/h",
"B)72 km/h",
"C)70 km/h",
"D)80 km/h",
"E)81 km/h"
] | B)72 km/h | aqua_rat |
a1d31b4d-14fd-4f23-a45a-f51eb1109e45 | There are 5 competitors in a race (John, mary and 3 other ones) in which there are no ties, what is the probability that mary finish ahead of john? | [
"A)1/6",
"B)1/3",
"C)1/2",
"D)2/3",
"E)5/6"
] | C)1/2 | aqua_rat |
5a340dae-083d-407f-8922-3d193ecfdd7b | You hold some gold in a vault as an investment. Over the past year the price of gold increases by 30%. In order to keep your gold in the vault, you must pay 2% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year. | [
"A)27.5%",
"B)27.4%",
"C)27.6%",
"D)27.7%",
"E)28.4%"
] | B)27.4% | aqua_rat |
5d7ceb21-841e-4161-93f8-be26e0f75305 | George while driving along the highway saw road markers which are at equal distances from each other. He crosses the markers every 20 seconds. If he increases his speed by x meters per second, he crosses the markers at every 15 seconds. But if he increases his speed by y meters per second, he crosses the marker at ever... | [
"A)2377",
"B)2788",
"C)1200",
"D)2778",
"E)2211"
] | C)1200 | aqua_rat |
5ca4e391-3d39-4b7a-8964-762fbcb38ac3 | which of the following inequalities indicates the set of all values of d for which the lengths R of the three sides of a triangle can be 3,4, and d? | [
"A)0<d<1",
"B)0<d<5",
"C)0<d<7",
"D)1<d<5",
"E)1<d<7"
] | E)1<d<7 | aqua_rat |
2ea83a35-6def-4f0a-a430-3f3cc606f22c | Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age. | [
"A)14",
"B)15",
"C)20",
"D)22",
"E)24"
] | B)15 | aqua_rat |
b0c208f9-dc8c-4902-bbfa-67b15135ab21 | The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 40 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? | [
"A)9.04 a.m.",
"B)10.00 a.m.",
"C)12.00 a.m.",
"D)18.00 a.m.",
"E)19.00 a.m."
] | A)9.04 a.m. | aqua_rat |
bb1b32e5-0614-4572-9b34-04700a30adfb | The difference between the place values of two nines in the numerical 62039295 is | [
"A)89",
"B)891",
"C)8910",
"D)0",
"E)None of them"
] | C)8910 | aqua_rat |
2759e052-328b-4c7f-8a24-c281d3fa67c0 | A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey? | [
"A)20",
"B)30",
"C)43",
"D)45",
"E)80"
] | A)20 | aqua_rat |
c2f33490-a15e-4a23-9b94-3db99dfed486 | If p#q denotes the least common multiple of p and q, then P=((12#16)#(18#24)) = ? | [
"A) 216",
"B) 180",
"C) 144",
"D) 108",
"E) 72"
] | C) 144 | aqua_rat |
46f01bb7-699d-477b-abb8-a00d2e8a817b | If f=1 and (f-b)/c = 1 which of the following is NOT a possible value of b? | [
"A)-2",
"B)-1",
"C)0",
"D)1",
"E)2"
] | D)1 | aqua_rat |
737ea7a2-adc0-4c91-ad0b-203df417fdf9 | In covering a distance of 36 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is: | [
"A)5 km/h",
"B)6 km/h",
"C)10 km/h",
"D)15 km/h",
"E)25 km/h"
] | B)6 km/h | aqua_rat |
c1b32733-7636-42c5-965b-013a32e015b1 | The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from p to q, inclusive, where 0<p<q? | [
"A)q(q+1)/2 - (p+1)(p+2)/2",
"B)q(q+1)/2 - p(p+1)/2",
"C)q(q+1)/2 - (p-1)p/2",
"D)(q-1)q/2 - (p+1)(p+2)/2",
"E)(q-1)q/2 - p(p+1)/2"
] | C)q(q+1)/2 - (p-1)p/2 | aqua_rat |
f0592362-3e90-489d-98ed-b394a9d0cc43 | What is the next number of the following sequence
3,4,12,48,576,? | [
"A)25648",
"B)24600",
"C)26600",
"D)25000",
"E)27648"
] | E)27648 | aqua_rat |
561ab7ca-4335-4191-b41a-c8ae685f27d4 | A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 1% higher then what would the sum amount in the same time period? | [
"A)Rs. 3509",
"B)Rs. 3683",
"C)Rs. 3596",
"D)Data inadequate",
"E)None of these"
] | A)Rs. 3509 | aqua_rat |
5fc51f30-b12c-4624-b43a-2f332aca3f3e | Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 13 km/hr downstream and 10 km/hr upstream. | [
"A)3 kmph",
"B)9 kmph",
"C)4 kmph",
"D)8 kmph",
"E)6 kmph"
] | B)9 kmph | aqua_rat |
4c423c77-7972-4bd3-a142-0e2507bf8d67 | A man can do a piece of work in 5 days, but with the help of his son, he can do it in 4 days. In what time can the son do it alone? | [
"A)15",
"B)17",
"C)20",
"D)8",
"E)9"
] | C)20 | aqua_rat |
6eee7b79-0183-4847-8aa3-300be3ee768a | The average (arithmetic mean) of 20, 40, and 60 is 5 more than the average of 10, 60, and what number? | [
"A)30",
"B)35",
"C)40",
"D)45",
"E)55"
] | B)35 | aqua_rat |
5646b430-5db8-407d-a2f0-aab6e9e58344 | A man can row upstream at 5km/hr and down stream at 13km/hr find mans rate in still water ? | [
"A)7.5km/hr",
"B)3.5km/hr",
"C)9km/hr",
"D)4km/hr",
"E)5km/hr"
] | C)9km/hr | aqua_rat |
2cfca826-91c3-4a0a-8dcc-907d0990964e | If g is a number such that –2 ≤ g ≤ 2, which of the following has the largest possible absolute value? | [
"A)3g – 1",
"B)x^2 + 1",
"C)3 – x",
"D)x – 3",
"E)x^2 – x"
] | A)3g – 1 | aqua_rat |
7aedde10-1e17-4af5-ae65-cb310122165d | Find the number of different prime factors of 441 | [
"A)4",
"B)2",
"C)3",
"D)5",
"E)6"
] | B)2 | aqua_rat |
af4bbf83-3cc2-4e56-8269-ac742ac6aa29 | Bhanu spends 30% of his income on petrol on scooter 12% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent? | [
"A)62",
"B)140",
"C)84",
"D)60",
"E)123"
] | C)84 | aqua_rat |
86370162-4fc8-4302-a2a0-c3e3028448d8 | Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $48 and Elvin's total telephone bill for February was 90$. If Elvin's charge for the calls he made in February was twice the charge... | [
"A)$5",
"B)$10",
"C)$14",
"D)$6",
"E)$28"
] | D)$6 | aqua_rat |
d6e7194a-2e6f-4a45-8c05-212c4b095105 | Chloe has $27 dollars to go to the fair. she is bringing 2 other friends along. Admission to the fair is $3. Each ride costs $1.70. How many rides can she and her friends go on and how much money will be left over? | [
"A)They can go on 15 rides and $1.50 will be left over.",
"B)They can go on 3 rides and $2.70 will be left over.",
"C)They can go on 7 rides and $0 will be left over.",
"D)They can go on 6 rides and $0 will be left over.",
"E)They can go on 5 rides and $1.50 will be left over."
] | B)They can go on 3 rides and $2.70 will be left over. | aqua_rat |
cea7685e-2f19-4e3b-8680-3a45d130b070 | On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 1? | [
"A)1/8.",
"B)1/2.",
"C)3/8.",
"D)5/8.",
"E)1/3."
] | C)3/8. | aqua_rat |
7ec73812-24d3-42d7-bf3c-d38a24c9337e | An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? | [
"A)4082.8",
"B)408",
"C)40",
"D)4082.4",
"E)88788"
] | D)4082.4 | aqua_rat |
c0b9f51f-0bc4-40d3-9e55-f8286c39d987 | A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 12 maps and 9 books for a total of $30.00. At this store, how much less does a map sell for than a book? | [
"A) $0.25",
"B) $0.50",
"C) $0.75",
"D) $1.00",
"E) $4.5"
] | E) $4.5 | aqua_rat |
f6ecbebe-7ee2-46eb-923c-f3c0c2a606d9 | Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is | [
"A)6",
"B)12",
"C)18",
"D)26",
"E)28"
] | C)18 | aqua_rat |
8f459474-3e7a-48ed-b545-885d63c73bde | How many Numbers can be formed with digits 2,4,6,8 without repetition? | [
"A)124",
"B)256",
"C)64",
"D)84",
"E)94"
] | C)64 | aqua_rat |
a57b50cf-a38a-4209-99c7-67b5f9f22a99 | The ratio of two numbers is 4 : 7 and their H.C.F. is 4. Their L.C.M. is | [
"A)112",
"B)22",
"C)56",
"D)27",
"E)35"
] | A)112 | aqua_rat |
c0adefe8-3192-4b19-8a2f-ea7fc53de14e | The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? | [
"A)3%",
"B)4%",
"C)7%",
"D)8%",
"E)9%"
] | B)4% | aqua_rat |
b72ba9ea-84d3-4f46-8c56-b0dd38fbe706 | How many five letter words are formed using the letters of the word BRINJAL? | [
"A)2800",
"B)2640",
"C)2400",
"D)2500",
"E)2520"
] | E)2520 | aqua_rat |
573ca5d8-7842-4ff8-8c12-95ce557dafaa | Two whole numbers whose sum is 42 cannot be in the ratio | [
"A)2:5",
"B)1:6",
"C)2:4",
"D)3:8",
"E)2:40"
] | D)3:8 | aqua_rat |
ec162cf3-666e-4db5-b879-3ac670817850 | If |r+s|=|r-s|, then r*s must be equal to: | [
"A)-2",
"B)2",
"C)0",
"D)-3",
"E)3"
] | C)0 | aqua_rat |
676b3b15-b7c5-4cbc-95ce-9e62a08231b2 | 105,100,...,90,85,80,75
Insert the missing number | [
"A)95",
"B)78",
"C)83",
"D)84",
"E)none of the above"
] | A)95 | aqua_rat |
ae402019-acff-496a-b6e9-a0d820c8496e | One paper sheet can be used to create 8 paper boats or 6 paper planes. If total exact 80 paper toys are to be made, minimum how many sheets need to be used to make paper boats? | [
"A)5",
"B)4",
"C)3",
"D)2",
"E)1"
] | E)1 | aqua_rat |
9ac8b082-8a24-4a52-ae86-864d678ff3db | A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 40 minutes. The total distance is? | [
"A)1 km",
"B)2 km",
"C)3 km",
"D)4 km",
"E)2.55 km"
] | E)2.55 km | aqua_rat |
54b7a519-5f81-4301-a0a4-f7dc0695bbe0 | Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B? | [
"A)6400",
"B)6408",
"C)6406",
"D)6405",
"E)6402"
] | A)6400 | aqua_rat |
f2624b57-ff90-498f-a73d-053f9719f306 | A passenger sitting near the window in a train moving at 40 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 69 metres? | [
"A)a)50km/h",
"B)b)42.8km/h",
"C)c)56km/h",
"D)d)60km/h",
"E)e)70km/h"
] | B)b)42.8km/h | aqua_rat |
9d457f67-6486-4d88-91e5-22f3dacc81f3 | There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value Q of 100th term? | [
"A)126",
"B)192",
"C)232",
"D)252",
"E)342"
] | E)342 | aqua_rat |
7cbe9f59-fd79-4728-9ef7-e632947fb30c | The ratio, by weight, of coffee to sugar to water in a pot of coffee is 4:1:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 16 grams of sugar, how many grams of water does it contain after alteration? | [
"A)64",
"B)60",
"C)56",
"D)52",
"E)48"
] | B)60 | aqua_rat |
8b3d5109-bb11-473d-9450-7f87438653a5 | If T = 5/9 * (K - 32), and if T = 105, then what is the value of K? | [
"A)209",
"B)212",
"C)215",
"D)218",
"E)221"
] | E)221 | aqua_rat |
c2538d51-db5a-49c2-9243-74c594501c0d | A person covered one-fourth of the total distance at 25 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? | [
"A)21 (1/8)",
"B)21 (1/33)",
"C)24 (8/33)",
"D)29 (1/33)",
"E)21 (4/33)"
] | C)24 (8/33) | aqua_rat |
47e53584-f4fa-428e-8949-b6e7f9cf6510 | The cost per liter of petrol during a 4 year period is as follows:
Year 1, $1 per liter ;
Year 2, $1.5 per liter ;
Year 3, $1.2 per liter ;
Year 4, $2 per liter .
If a factory spent equal dollars on petrol each year, what was the average cost of a liter of petrol during the 4 year period? | [
"A)$1.22",
"B)$1.333",
"C)$1.425",
"D)$1.175",
"E)$1.500"
] | B)$1.333 | aqua_rat |
4e1cc6b3-7883-4a74-bec2-99affadc6dda | If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/36, then the reciprocal of n must be | [
"A)Less than -6",
"B)Between -1 and -1/6",
"C)Between -1/6 and 0",
"D)Between 0 and 1/6",
"E)Greater than 6"
] | A)Less than -6 | aqua_rat |
9b9ffc2f-ec69-42a4-9a84-a24f0a0b7824 | Everyone shakes hands with everyone else in a room. Total number of handshakes is 105. Number of persons=? | [
"A)14",
"B)12",
"C)11",
"D)15",
"E)16"
] | D)15 | aqua_rat |
5b997c8a-eb72-4c79-89eb-5ea44cc6f5b1 | Average score in 10 matches is 32, How many runs one should should score to increase his average by 4
runs. | [
"A)70",
"B)76",
"C)78",
"D)80",
"E)82"
] | B)76 | aqua_rat |
5e046936-2900-4398-bee6-c06f64c73eb2 | The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places) | [
"A)Rs.20043.94",
"B)Rs.20043.97",
"C)Rs.20043.96",
"D)Rs.20043.16",
"E)Rs.20043.17"
] | A)Rs.20043.94 | aqua_rat |
c459a4e7-b3de-448d-a8ee-b18a0d889ff1 | Rahim bought 42 books for Rs.520 from one shop and 22 books for Rs.248 from another. What is the average price he paid per book ? | [
"A)s.17",
"B)s.18",
"C)s.12",
"D)s.11",
"E)s.10"
] | C)s.12 | aqua_rat |
0913379b-fdf8-426f-ae87-3358e6839593 | In a class total 34 students, 16 are have a brother, 15 are have sisters, 9 students don't have either brothers or sisters.Find the number of students having both brother and sisters. | [
"A)4",
"B)5",
"C)6",
"D)7",
"E)8"
] | C)6 | aqua_rat |
ed1975aa-3680-4ba5-bbc5-b887cf8e5372 | What is the greatest 5-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 9 respectively? | [
"A)56780",
"B)78910",
"C)97479",
"D)97918",
"E)97920"
] | C)97479 | aqua_rat |
1d5293ad-0b8c-47ee-8441-20fd33a6d8ce | The inverse ratio of 6: 2: 1 is? | [
"A)2:3:7",
"B)2:3:9",
"C)2:3:2",
"D)1:3:6",
"E)2:3:1"
] | D)1:3:6 | aqua_rat |
81377aac-5ee9-4304-8be4-555334f2e01e | If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal: | [
"A)0",
"B)2ab",
"C)2ab^4 – 6",
"D)2ab^5-2b",
"E)ab^5"
] | D)2ab^5-2b | aqua_rat |
5008230b-306a-40b8-87d5-ec29a1050ba4 | For the set { 3, 3, 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation? | [
"A)(-3)^2",
"B)2",
"C)3",
"D)4",
"E)5"
] | A)(-3)^2 | aqua_rat |
22b552a2-3a00-4260-bfa0-abc968188d06 | Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 9 times as heavy as water? | [
"A)3:2",
"B)1:2",
"C)4:1",
"D)5:2",
"E)4:3"
] | C)4:1 | aqua_rat |
614b045d-6ee2-4382-a32c-329b83cf413d | Media companies sell their magazine through a distributor, which take a commission of 3% of the price set by the media company. The distributor obtains the magazines through each company at the price of $12 per subscription. What is the price that the buyer observers if the distributor wants to maintain a 3% profit on ... | [
"A)11.13",
"B)11.72",
"C)11.74",
"D)12.72",
"E)12.74"
] | E)12.74 | aqua_rat |
c3e4f835-64a1-49c0-9ee9-ea482b52ffe1 | How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once? | [
"A)720",
"B)360",
"C)1420",
"D)1680",
"E)1780"
] | D)1680 | aqua_rat |
a24ffa6b-a92b-4e02-acb7-5c08fd6d18ab | The number of arrangement of letters of the word BANANA in which the two N's do not appear adjacently is: | [
"A)40",
"B)50",
"C). 60",
"D)80",
"E)100"
] | A)40 | aqua_rat |
50cb4b5c-c7ae-4fec-97e3-f09b11a89104 | Bill has a small deck of 14 playing cards made up of only 2 suits of 7 cards each. Each of the 7 cards within a suit has a different value from 1 to 7; thus, there are 2 cards in the deck that have the same value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards ... | [
"A)8/67",
"B)61/130",
"C)17/33",
"D)63/143",
"E)25/88"
] | D)63/143 | aqua_rat |
1015a476-a29d-4c0d-8a4b-f6fdb4074a77 | In a theater, the first row has 15 seats and each row has 2 more seats than previous row. If the last row has 53 seats, what is the total number of seats in the theater? | [
"A)600",
"B)640",
"C)680",
"D)720",
"E)760"
] | C)680 | aqua_rat |
bd3d9bc3-d8d1-4862-9f97-700472168424 | In an xy-coordinate plane, a line is defined by y = kx + 1. If (4, b), (a,3), and (a, b+1) are three points on the line, where a and b are unknown, then k = ? | [
"A) 1/2",
"B) 1/4",
"C) 3/2",
"D) 2",
"E) 5/2"
] | B) 1/4 | aqua_rat |
fd9fd4e1-59f6-4e0d-bb7d-70f140399ee1 | What is the greatest prime factor of 8^13 - 2^30? | [
"A)23",
"B)37",
"C)59",
"D)73",
"E)107"
] | D)73 | aqua_rat |
16ffdb44-dc48-41e3-a9b0-2503d359a47e | Ten identical machines, running continuously at the same constant rate, take 6 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by four days? | [
"A)25",
"B)20",
"C)14",
"D)9",
"E)5"
] | B)20 | aqua_rat |
464d3b18-ab8b-4be1-a991-89914e30210d | If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/9
III. 1/10 | [
"A)None",
"B)I only",
"C)III only",
"D)II and III only",
"E)I, II, and III"
] | C)III only | aqua_rat |
15f37c7f-5707-4300-b2e2-54fb7ffc6589 | A cistern 9m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: | [
"A)49 m2",
"B)50 m2",
"C)53.5 m2",
"D)68.5 m2",
"E)57 m2"
] | D)68.5 m2 | aqua_rat |
1e5dd474-d7e4-49d5-9574-e8b63d1562c8 | A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation? | [
"A)20",
"B)30",
"C)37",
"D)40",
"E)39"
] | A)20 | aqua_rat |
2ba4cd61-1f2a-425e-a430-abbb0a421f2d | A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B? | [
"A)12288",
"B)12800",
"C)27636",
"D)19287",
"E)19281"
] | B)12800 | aqua_rat |
7e0c2ec6-c3ba-45fc-8c25-b22435083c99 | In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 252 runs? | [
"A)6.25",
"B)6.22",
"C)5.5",
"D)6.39",
"E)6.13"
] | C)5.5 | aqua_rat |
f1ad81b9-ad51-4508-ab81-81fc111159fb | A bag contains 14 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf? | [
"A)2/15",
"B)11/23",
"C)18/121",
"D)33/182",
"E)51/273"
] | D)33/182 | aqua_rat |
a0bdeaa3-12de-4b7e-b15f-b0e8819333fe | Rs.630/- distributed among A,B and C such that on increasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:? | [
"A)Rs.155",
"B)Rs.145",
"C)Rs.150",
"D)Rs.140/-",
"E)Rs.160"
] | D)Rs.140/- | aqua_rat |
8aee4239-15b4-4370-bea4-d775b1b098a4 | Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence? | [
"A)22",
"B)27",
"C)96",
"D)51",
"E)2"
] | D)51 | aqua_rat |
f9366667-46b8-4ae1-9517-f8b6a60ca0f6 | Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 10 km/hr and 15 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? | [
"A)28 sec",
"B)19.2 sec",
"C)17 sec",
"D)23 sec",
"E)27 sec"
] | B)19.2 sec | aqua_rat |
91ec2cf7-ecce-4fd0-9c81-79d7991a8c2c | A car covers a distance of 1728 km in 6 hours. Find its speed? | [
"A)104",
"B)288",
"C)271",
"D)276",
"E)128"
] | B)288 | aqua_rat |
bd966d54-71ce-422f-8520-50d0e63fdcd3 | A certain candy manufacturer reduced the weight of Candy Bar M by 25 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M? | [
"A)20",
"B)30",
"C)34",
"D)35",
"E)33.33"
] | E)33.33 | aqua_rat |
6e06638f-c5d8-4a7b-9013-2310f5d3509e | a renowned battery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x? | [
"A) 1.50",
"B) 1.75",
"C) 2.00",
"D) 2.50",
"E) 3.00"
] | D) 2.50 | aqua_rat |
119cdb83-4197-4965-bc0f-a84619424766 | Fifteen more than three times a number is the same as ten less than six times the
number. What is the number | [
"A)20/2",
"B)15/4",
"C)30/5",
"D)25/3",
"E)9/6"
] | D)25/3 | aqua_rat |
e1b2d28b-3ebb-4901-af38-e2e29740d869 | Mandrake has to choose from 4 from 10 people. There are 3 girls, 5 boys , 2 children. What is total probability that he will choose 1G , 2B , 1C? | [
"A)1/7",
"B)2/7",
"C)3/7",
"D)4/7",
"E)5//7"
] | B)2/7 | aqua_rat |
92b07511-e77e-404c-8fdc-136d87b33b81 | Maddie has 48 apples, if she give 22 to mike, how many does she have left? | [
"A)12",
"B)21",
"C)26",
"D)22",
"E)5"
] | C)26 | aqua_rat |
f3e36fed-e14c-41bc-9fdb-6edc37724d85 | Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? | [
"A)3/7",
"B)3/2",
"C)3/5",
"D)3/1",
"E)3/3"
] | B)3/2 | aqua_rat |
3d2c4732-8e13-4ab1-8913-c01e0fa5e6c6 | The sume of the ages of a father and his son is 45 years.Five years ago,the product of their ages was 34 .The ages of the son and the father are respectively : | [
"A)6 and 39",
"B)7 and 38",
"C)9 and 36",
"D)11 and 34",
"E)12 and 74"
] | A)6 and 39 | aqua_rat |
b1a80c72-388d-4433-b7ac-0adc0a7075db | Divide Rs. 5500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 1/5 as A and C together. A's share is? | [
"A)1227",
"B)1268",
"C)1375",
"D)1200",
"E)1210"
] | C)1375 | aqua_rat |
6bed4783-9a43-4b32-b316-2676ddff6a68 | There are 2 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________ | [
"A)10",
"B)214",
"C)300",
"D)216",
"E)245"
] | D)216 | aqua_rat |
015d6b1f-6473-4a03-8a0f-a3ae4445be91 | Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 12%, but the overall value of her portfolio increased. If Sam... | [
"A)$75, $25, $20",
"B)$65, $60, $60",
"C)$65, $55, $90",
"D)$55, $85, $40",
"E)$25, $60, $70"
] | A)$75, $25, $20 | aqua_rat |
f7a72652-e03f-4f64-89f2-82cff64c2d01 | A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.5 cm when a man gets on it. The mass of man is | [
"A)12 kg",
"B)90 kg",
"C)72 kg",
"D)96 kg",
"E)None"
] | B)90 kg | aqua_rat |
a4d2354b-ea79-4019-b7b8-3399374cb6ce | Tough and Tricky questions: Ratios
4/5 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... | [
"A)1/2",
"B)2/3",
"C)13/15",
"D)23/30",
"E)4/5"
] | C)13/15 | aqua_rat |
350aadcb-bc2f-49a0-a536-a14d6317cca1 | What is M : N if M is 40% of N | [
"A)2:3",
"B)5:2",
"C)3:2",
"D)2:5",
"E)1:2"
] | D)2:5 | aqua_rat |
d53a986c-1bf9-4c97-9e99-625ef8dcb995 | A group of people were given 2 puzzles. 70% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles? | [
"A) 11%, 0%",
"B) 49%, 33%",
"C) 70%, 57%",
"D) 79%, 68%",
"E) 89%, 79%"
] | C) 70%, 57% | aqua_rat |
ab8e55bb-e15e-4569-b33b-22e2f2c40464 | A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? | [
"A)17%",
"B)77%",
"C)44%",
"D)16%",
"E)69%"
] | E)69% | aqua_rat |
3dcb0c1b-2022-477a-b8ce-90f0ae8a7dff | If a train, travelling at a speed of 180 kmph, crosses a pole in 6 sec, then the length of train is? | [
"A)300",
"B)125",
"C)288",
"D)266",
"E)121"
] | A)300 | aqua_rat |
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