id string | question string | choices list | answer_key string | source string |
|---|---|---|---|---|
55f68e0d-2ecd-4166-b7dd-afbfa5cb20e1 | A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year? | [
"A)1:2",
"B)3:4",
"C)2:5",
"D)3:7",
"E)2:1"
] | B)3:4 | aqua_rat |
e08a6dd9-9a43-4df6-8b1b-1e032371c06d | Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.5. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? | [
"A)9",
"B)10",
"C)16",
"D)20",
"E)18"
] | E)18 | aqua_rat |
e946095f-b486-480f-8485-e9fce2ebe746 | A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 66 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480 | [
"A)2000",
"B)2100",
"C)2200",
"D)2300",
"E)2400"
] | C)2200 | aqua_rat |
8a9c8f5c-c3f0-4200-a7da-8eb773187f54 | A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year? | [
"A)25600.24",
"B)25600.27",
"C)25600.28",
"D)25600.21",
"E)25600.29"
] | A)25600.24 | aqua_rat |
693b0d3a-9419-49c6-b310-7f8361a2abed | When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in e hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of e? | [
"A)3/4",
"B)1[1/5]",
"C)1[2/5]",
"D)1[3/4]",
"E)2"
] | B)1[1/5] | aqua_rat |
de6456c5-613f-424d-99bc-b58b3f1a514c | A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads? | [
"A)13",
"B)297",
"C)26",
"D)19",
"E)10"
] | E)10 | aqua_rat |
a5af3c3f-8b02-4965-b43a-a7578ed76e53 | The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is: | [
"A)28",
"B)32",
"C)40",
"D)53",
"E)54"
] | C)40 | aqua_rat |
b8655909-6426-4083-b2ff-d17c71345545 | In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is? | [
"A)5808",
"B)5825",
"C)5830",
"D)5835",
"E)5836"
] | A)5808 | aqua_rat |
b66b23e2-6e32-433e-89e0-efe60148757f | Point (e,f) is on the circle represented by e^2+f^2=10, and e, f are integers. How many such points are possible? | [
"A)0",
"B)2",
"C)4",
"D)6",
"E)8"
] | E)8 | aqua_rat |
15ef2a95-40f7-4607-ad7f-a56d3403c27f | In a graduating class, 40 percent of the students are male. In this class, 40 percent of the male students and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old? | [
"A)0.9",
"B)0.72",
"C)0.45",
"D)0.35",
"E)0.28"
] | B)0.72 | aqua_rat |
cd336f3f-975a-4b5e-b231-a67207bb1c39 | What will come in place of the x in the following Number series? 2, 2, 4, 12, 48, 240, x | [
"A)2560",
"B)960",
"C)1440",
"D)480",
"E)540"
] | C)1440 | aqua_rat |
1bf2f5ef-b493-4b25-b8c7-d58ba09a89fb | Two good train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one. | [
"A)12 sec",
"B)24 sec",
"C)48 sec",
"D)60 sec",
"E)None"
] | C)48 sec | aqua_rat |
96441971-3fb9-487b-915f-9286e3a35791 | 2x + y = 14
|y| <= 14
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers? | [
"A)7",
"B)12",
"C)13",
"D)14",
"E)15"
] | E)15 | aqua_rat |
648c63ef-ea13-4386-b6f1-79f9b3c72469 | Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs.100, then find the CP of sugar? | [
"A)Rs. 1(1/9)",
"B)Rs. 2(2/9)",
"C)Rs. 2(2/7)",
"D)Rs. 2",
"E)Rs. 3(1/9)"
] | B)Rs. 2(2/9) | aqua_rat |
204dda00-fea1-4ac4-a014-953af02ed90a | A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? | [
"A)12",
"B)20",
"C)88",
"D)77",
"E)14"
] | B)20 | aqua_rat |
054b49db-6abf-4610-b08e-911f565ed2e6 | A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? | [
"A)4991",
"B)5991",
"C)5491",
"D)6991",
"E)6491"
] | A)4991 | aqua_rat |
82f5b956-398e-4ff1-bf47-7aae08e92da0 | With out any halt a train travels a certain distance with an average speed of 40 km ph , and with halts it covers the same distance at an average speed of 25 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ? | [
"A)48 min.",
"B)12min.",
"C)15min.",
"D)36min.",
"E)19min."
] | D)36min. | aqua_rat |
9dd25c2b-0641-4c43-9e27-a9a54844a39c | A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture? | [
"A)10%",
"B)12%",
"C)20%",
"D)25%",
"E)30%"
] | C)20% | aqua_rat |
1c65836f-4e8b-4025-9b78-5395f1936486 | A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage? | [
"A)11",
"B)12",
"C)15",
"D)13",
"E)17"
] | C)15 | aqua_rat |
393d016c-ea15-4508-9b6d-2b78a963b6a0 | 165 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)66 liters",
"B)32 liters",
"C)41 liters",
"D)50 liters",
"E)34 liters"
] | A)66 liters | aqua_rat |
3eac3731-2298-4a18-abe8-12dbb62a228a | The present worth of Rs.338 due in 2 years at 4% per annum compound interest is | [
"A)Rs.312.5",
"B)Rs.154.75",
"C)Rs.156.25",
"D)Rs.158",
"E)None"
] | A)Rs.312.5 | aqua_rat |
aa361a5a-267a-4d60-9552-2dea5ab18840 | How many numbers between 100 and 600 are divisible by 2, 3, and 7 together? | [
"A)11",
"B)12",
"C)14",
"D)16",
"E)18"
] | B)12 | aqua_rat |
483ec7ec-abde-4a53-be5d-dadca2e3e719 | A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? | [
"A)230 m",
"B)240 m",
"C)260 m",
"D)320 m",
"E)520 m"
] | A)230 m | aqua_rat |
7fa79c83-9440-46e9-8370-24a1f28e6bf2 | Which one of the given numbers is divisible by 11? | [
"A)4823718",
"B)8423718",
"C)8432718",
"D)4238718",
"E)4852718"
] | D)4238718 | aqua_rat |
5b0eabc9-e05f-495a-9aeb-91d06bfbeaae | If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/6 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? | [
"A)3/2",
"B)5/4",
"C)10/3",
"D)20/7",
"E)25/9"
] | D)20/7 | aqua_rat |
e782d47e-096b-47a2-a943-17dbd2ed682a | Divide Rs.32000 in the ratio 3:7? | [
"A)12000, 20000",
"B)9600, 22400",
"C)12000, 20007",
"D)12000, 20006",
"E)12000, 20001"
] | B)9600, 22400 | aqua_rat |
9dcb9b04-19d7-4d78-8e6a-a4e30fe4b56b | The three digits of a number add up to 17. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits? | [
"A)160",
"B)72",
"C)78",
"D)88",
"E)125"
] | A)160 | aqua_rat |
90b84494-599e-46d4-b81c-89e7f5dc63c6 | Peter's One tap, working alone at its maximum constant rate, can fill a certain sink in 220 seconds. A second tap, working alone at its maximum constant rate, can fill the same sink in 224 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest t... | [
"A)111 seconds",
"B)130 seconds",
"C)177 seconds",
"D)200 seconds",
"E)270 seconds"
] | A)111 seconds | aqua_rat |
1c7a8d3d-dd1d-4a2b-a7a7-d994baace700 | A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 52 years now, the son's age five years back was? | [
"A)18years",
"B)19years",
"C)20years",
"D)21years",
"E)21years"
] | D)21years | aqua_rat |
7f4da9f3-20ea-4927-a3da-ec9171ebf152 | A college has classes from 10:00 AM until 2:00 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period? | [
"A)38 min",
"B)41 min",
"C)40 min",
"D)42 min",
"E)44 min"
] | E)44 min | aqua_rat |
fe282291-c244-4155-9773-8d2f37889da8 | Lokesh started a business with Rs.30,000 and Ramesh joined him afterwards with Rs.30,000. If profits of both are same after one year then for how many months did Ramesh invest his money? | [
"A)9 months",
"B)8 months",
"C)6 months",
"D)5 months",
"E)12 months"
] | E)12 months | aqua_rat |
8b5c361e-6a07-44c4-885a-ccff489c5dc9 | A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? | [
"A)7 km/h",
"B)5 km/h",
"C)3 km/h",
"D)2 (1/2) km/h",
"E)None"
] | D)2 (1/2) km/h | aqua_rat |
926a7de8-2b97-4ea9-869b-e3fd5e63cd3d | The average of first six multiples of 3 is | [
"A)10.5",
"B)6",
"C)9",
"D)12",
"E)15"
] | A)10.5 | aqua_rat |
34396431-c1f8-4f8c-89b4-a5101a60698e | x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to? | [
"A)1/6",
"B)1/3",
"C)1/0",
"D)1/9",
"E)1/5"
] | D)1/9 | aqua_rat |
641ad2e3-964a-4bcb-8025-6a19713fdfc8 | What is the approximate value of b in the following equation?
18% of 4514 + 25% of 3415 = b | [
"A)1620",
"B)1670",
"C)1680",
"D)1690",
"E)1630"
] | B)1670 | aqua_rat |
11894ff8-9516-4083-a196-15deda472ef2 | A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum? | [
"A)3%",
"B)5%",
"C)6%",
"D)4%",
"E)2%"
] | B)5% | aqua_rat |
5de6e8b8-eb3f-4405-a929-0128f6ac66d2 | John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount? | [
"A)$18.44",
"B)$28.44",
"C)$48.44",
"D)$58.44",
"E)$38.44"
] | B)$28.44 | aqua_rat |
224f187a-30a6-43b1-a09f-abf265926573 | When the positive integer x is divided by the positive integer y, the quotient is 3 and the remainder is z. When z is divided by y, the remainder is 2. Which of the following could be the value of x?
I. 5
II. 8
III. 32 | [
"A)I only",
"B)II only",
"C)III only",
"D)I and II only",
"E)I, II and III"
] | C)III only | aqua_rat |
dd40ae39-133f-4bb3-bf86-8859f656f350 | The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%? | [
"A)16 2/3% loss",
"B)16 2/9% loss",
"C)16 2/2% loss",
"D)16 2/3% loss",
"E)16 3/9% loss"
] | A)16 2/3% loss | aqua_rat |
59bbeaa3-a866-429d-9447-08266d1e063c | Consider the following game, in which a referee picks a random integer between 1 and 100.
One after the other, each of three players tries to guess the number the referee picked. Each
player announces his or her guess before the next player guesses. Each guess has to be different
from the previous guesses. The winner i... | [
"A)1",
"B)25",
"C)62",
"D)63",
"E)64"
] | D)63 | aqua_rat |
a38d464a-f04a-43c4-8772-5f3cc991bfb3 | The average monthly salary of 20 employees in an organisation is Rs. 1700. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? | [
"A)Rs.6003",
"B)Rs.3800",
"C)Rs.1288",
"D)Rs.6108",
"E)Rs.6011"
] | B)Rs.3800 | aqua_rat |
daa03c9f-3757-48d9-8a25-cc1d4a832fab | Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many W applicants majored in political science and had a GPA higher than 3.0? | [
"A)5",
"B)10",
"C)15",
"D)25",
"E)35"
] | A)5 | aqua_rat |
165e17cf-5843-463f-a5b6-460d65fdbe92 | A certain bridge is 4,424 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 10 miles per hour? (1 mile = 5,280 feet) | [
"A) 1",
"B) 2",
"C) 4",
"D) 5",
"E) 7"
] | D) 5 | aqua_rat |
436de92c-0a40-4a81-8b9f-fe52a8498de7 | A train 900 m long passed a pole in 9 sec. How long will it take to pass a platform 800 m long? | [
"A)17",
"B)18",
"C)19",
"D)20",
"E)21"
] | A)17 | aqua_rat |
ff3d7dcb-fa55-4178-9361-aaa9c5beb5ff | Two pipes can fill a tank in 18 minutes and 60 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? | [
"A)1/15",
"B)1/16",
"C)1/20",
"D)1/10",
"E)1/12"
] | C)1/20 | aqua_rat |
4c244414-c519-46a8-ad1e-cf150c16c228 | In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3r... | [
"A)90",
"B)120",
"C)150",
"D)180",
"E)210"
] | B)120 | aqua_rat |
08fb1ce6-933c-487f-bd13-3dd6187b241e | It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 60 pages? | [
"A)12",
"B)18",
"C)20",
"D)24",
"E)30"
] | B)18 | aqua_rat |
cda06648-0ca4-41d4-83c6-5a5da03858f1 | In a 2000 m race, A beats B by 100 meters or 15 seconds. Find the speed of B? | [
"A)10m/s",
"B)2m/s",
"C)5m/s",
"D)6.7m/s",
"E)3m/s"
] | D)6.7m/s | aqua_rat |
7ca587e7-711c-4382-96f5-94075308643d | The probability that event A occurs is 0.4, and the probability that event B occurs is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B and event B will occur? | [
"A)0.25",
"B)0.15",
"C)0.45",
"D)0.5",
"E)0.55"
] | A)0.25 | aqua_rat |
85c0abd7-b769-4424-973b-5c077bb3d1f3 | A 480 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 620 m in ? | [
"A)41.1 sec",
"B)72 sec",
"C)31.8 sec",
"D)50.4 sec",
"E)none of the above"
] | B)72 sec | aqua_rat |
fe3aa053-ff8c-405e-9c0a-ebb3cff18016 | At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $60,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c... | [
"A)$10,000",
"B)$11,200",
"C)$12,000",
"D)$12,800",
"E)$26,400"
] | E)$26,400 | aqua_rat |
0e3c6413-eb41-4a2f-87d0-b7804c8bf878 | A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length? | [
"A)65 seconds",
"B)33.33 seconds",
"C)40 seconds",
"D)97 seconds",
"E)26 seconds"
] | B)33.33 seconds | aqua_rat |
27579cb4-0d1b-4ed9-bfe0-055762e4a859 | A and B together have $100. If 3/10 of A's amount is equal to 1/5 of B's amount, how much amount does B have? | [
"A)$60",
"B)$55",
"C)$42",
"D)$31",
"E)$100"
] | A)$60 | aqua_rat |
474dd741-dfb4-4bfb-9258-037d9992233b | Donovan took a math test and got 35 correct and 14 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth) | [
"A)57.78%",
"B)67.78%",
"C)71.43%",
"D)47.78%",
"E)97.78%"
] | C)71.43% | aqua_rat |
cd8ebbf4-8f5a-4fd4-bce9-568012150249 | In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? | [
"A)610",
"B)720",
"C)825",
"D)920",
"E)650"
] | B)720 | aqua_rat |
baeb085e-d622-40fe-8d8b-819812066b6f | A deer runs k miles in n hours. How many miles will it run in x hours at the same rate? | [
"A)knx",
"B)k⁄n",
"C)kx⁄2n",
"D)kx⁄n",
"E)kn⁄x"
] | D)kx⁄n | aqua_rat |
7f850324-4d51-43cf-9e3c-40f66a9f9004 | The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field? | [
"A)73",
"B)32",
"C)34",
"D)43",
"E)80"
] | E)80 | aqua_rat |
50d79223-f7e7-43b1-b942-4fd4b3d4d103 | If the average of 8 digits is 20 and the average of 5 of them is 12, calculate the average of the remaining 3 numbers? | [
"A)13.3",
"B)38.3",
"C)35.3",
"D)31.3",
"E)33.3"
] | E)33.3 | aqua_rat |
f8c89678-3767-48bb-8cdd-164c3a5597d1 | The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man. What is the weight of the new man? | [
"A) 80 kg",
"B) 83 kg",
"C) 70 kg",
"D) 75 kg",
"E) 85 kg"
] | D) 75 kg | aqua_rat |
e41aca92-66e1-427c-a52b-7f45b389b416 | Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,500, what were her annual sales? | [
"A)$ 20,000",
"B)$ 22,000",
"C)$ 24,666",
"D)$ 26,000",
"E)$ 28,000"
] | C)$ 24,666 | aqua_rat |
c58c928f-c624-4d65-88b9-3576053aa5f2 | If four coins are tossed, the probability of getting two heads and two tails is? | [
"A)3/8",
"B)3/6",
"C)3/9",
"D)3/1",
"E)3/4"
] | A)3/8 | aqua_rat |
17333623-d244-4002-86dc-daed91ce5694 | Three-fifth of a two digit number exceeds its one fifth by 6. What is the sum of the digits of the number? | [
"A)6",
"B)9",
"C)11",
"D)12",
"E)15"
] | A)6 | aqua_rat |
9a44e374-73e4-409e-86dd-f9bbe8592645 | In a restaurant, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? | [
"A)30%",
"B)57%",
"C)90%",
"D)100%",
"E)None of these"
] | B)57% | aqua_rat |
f9381d87-9db4-4c39-9498-422b54df581a | An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 30 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment? | [
"A)92%",
"B)240%",
"C)280%",
"D)395%",
"E)380%"
] | D)395% | aqua_rat |
30f0b83d-b25c-4231-900f-c29edfdaf2c1 | A certain jacket was marked down 20% the first week and another 20% the next week. What percent of the regular price was the final cost of the jacket after the two markdowns? | [
"A)30%",
"B)36%",
"C)40%",
"D)60%",
"E)64%"
] | E)64% | aqua_rat |
fa95784b-2774-47ff-87d9-65dc05acd2a7 | A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram? | [
"A)223 1/3 grams.",
"B)833 1/3 grams.",
"C)2873 1/3 grams.",
"D)273 1/3 grams.",
"E)832 1/3 grams."
] | B)833 1/3 grams. | aqua_rat |
23484161-3bdd-49b4-a71f-bce10aecbd5b | Of 100 apples in a tree, 30 percent are green. How many red apples must be picked in order to bring the number of green apples up to 50 percent of the apples in the tree? | [
"A)40",
"B)50",
"C)30",
"D)70",
"E)20"
] | A)40 | aqua_rat |
7569a290-8249-4360-bc55-ab7cb8e0f30e | A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"A)33",
"B)77",
"C)72",
"D)55",
"E)88"
] | C)72 | aqua_rat |
e9f9eaed-77ad-4843-a369-fc9929dc85c0 | The time it took car P to travel 300 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour? | [
"A)34",
"B)50",
"C)60",
"D)70",
"E)80"
] | A)34 | aqua_rat |
007f0aea-0670-476b-8600-998e8ed413ae | A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions? | [
"A)12.5 m",
"B)10.5 m",
"C)14",
"D)12",
"E)10"
] | A)12.5 m | aqua_rat |
8bb8e39c-0677-4f40-a508-a524c6c6b485 | A student can select one of 8 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science. | [
"A)22",
"B)72",
"C)96",
"D)37",
"E)01"
] | C)96 | aqua_rat |
62885014-62f7-4d98-8b24-a86cfe01fb40 | In how many ways can the letters of the word APPEAR be rearranged such that the vowels always appear together? | [
"A)6!/2!",
"B)3!*3!",
"C)4!/2!",
"D)4! *3!/(2!*2!)",
"E)3!*3!/2"
] | D)4! *3!/(2!*2!) | aqua_rat |
5432ddc2-c4aa-4291-92aa-edfe83120885 | A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once? | [
"A)2/5",
"B)3/5",
"C)4",
"D)4/11",
"E)5"
] | A)2/5 | aqua_rat |
5cd403e5-1c14-4ba9-b91b-7e70d9292513 | How many numbers between 100 and 798 are divisible by 2, 3, and 7 together? | [
"A)112",
"B)77",
"C)267",
"D)17",
"E)99"
] | D)17 | aqua_rat |
05674ed4-9b01-490f-9b94-ff880604a9e4 | A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? | [
"A)221",
"B)287",
"C)288",
"D)280",
"E)271"
] | D)280 | aqua_rat |
9a0b92fa-34c0-4f8e-8091-4adb667dcc39 | Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/3, which of the following CANNOT be the result of a + b? | [
"A)13/15",
"B)-13/15",
"C)-7/15",
"D)7/15",
"E)7/5"
] | E)7/5 | aqua_rat |
49ecdbf6-c889-4827-a340-7d584512d44d | A sum is divided among C, D and E in such a way that for each rupee C gets, D gets 75 paisa and E gets 50 paisa. If the share of E is RS. 80, what is the total amount? | [
"A)360",
"B)350",
"C)340",
"D)330",
"E)320"
] | A)360 | aqua_rat |
4387288e-9a60-4ea7-b9b0-4b9e309be835 | How many times will the hands of a clock coincide in a day? | [
"A)24",
"B)22",
"C)23",
"D)44",
"E)42"
] | B)22 | aqua_rat |
7e6678aa-1b8e-4009-89a8-98eeda2b3776 | The sector of a circle has radius of 14 cm and central angle 144o. Find its perimeter? | [
"A)60cm",
"B)63.2cm",
"C)70cm",
"D)80cm",
"E)90cm"
] | B)63.2cm | aqua_rat |
0769fd8c-6a6d-4cf5-b703-4a61434e88d3 | The area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm. What is the perimeter of the square? | [
"A)482",
"B)268",
"C)800",
"D)128",
"E)632"
] | D)128 | aqua_rat |
7f73261e-0da8-44a6-8c6d-43c5b9205790 | In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 8 women? | [
"A)7C4 8C5",
"B)4C7 5C8",
"C)7C5 8C4",
"D)9C4 7C5",
"E)NONE"
] | A)7C4 8C5 | aqua_rat |
934adb91-d276-47c4-a1d4-a21d47ea6b19 | If p and q are integers and p divided by q is 16.15, then which of the following integers is a possible value for the remainder when p is divided by q?
I. 15
II. 5
III. 3 | [
"A)I only",
"B)II only",
"C)III only",
"D)I,III only",
"E)II,III only"
] | D)I,III only | aqua_rat |
1538b780-b3a0-469e-942d-92654ca40137 | If, 7 years ago, Jamie was half as old as he is now, how old will he be in x years? | [
"A)x + 10",
"B)x + 14",
"C)x + 2",
"D)x – 5",
"E)2x"
] | B)x + 14 | aqua_rat |
d5932a82-b517-4972-ab15-e638b6f4eaf7 | Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 20,000, what is Ramesh's share? | [
"A)s. 8375",
"B)s. 9379",
"C)s. 10376",
"D)s. 11372",
"E)s. 12500"
] | E)s. 12500 | aqua_rat |
c25b8ecb-4fec-44ce-aa89-b61dbc742092 | The number of even factors of 21600 is | [
"A)32",
"B)42",
"C)60",
"D)25",
"E)52"
] | C)60 | aqua_rat |
ebd2903a-5ac5-4914-9fd6-6fa903697cba | C and D walk around a circular track. They start at 11 a.m from the same point in the opposite directions. C and D walk at a speed of 7 rounds per hour and 8 rounds per hour respectively. How many times shall they cross each other before 5 p.m | [
"A)90",
"B)95",
"C)100",
"D)105",
"E)110"
] | A)90 | aqua_rat |
dc0062f8-6807-4339-a659-c8df0f157803 | Fred and Sam are standing 100 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 5 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet? | [
"A)5",
"B)9",
"C)25",
"D)30",
"E)75"
] | E)75 | aqua_rat |
e57d424f-8d8d-4df7-b7dd-176489ac1a15 | In how many ways can the letters {U, U, U, R} be arranged? | [
"A)4",
"B)20",
"C)120",
"D)720",
"E)840"
] | A)4 | aqua_rat |
df368168-62c6-4e38-9cde-37752af7ba0e | Find the value of X, Y by solving the below equations
X + Y = 12
X - Y = 4 | [
"A)5, 7",
"B)8, 4",
"C)6, 6",
"D)7, 5",
"E)9, 3"
] | B)8, 4 | aqua_rat |
30d872dc-6dfa-4a8c-995b-19ef6f156e98 | One hour after Adrienne started walking the 60 miles from X to Y, William started walking from X to Y as well. Adrienne walks 3 miles per hour and William walks 1 mile per hour faster than Adrienne. How far from X will William be when he catches up to Adrienne? | [
"A)8 miles",
"B)9 miles",
"C)10 miles",
"D)11 miles",
"E)12 miles"
] | D)11 miles | aqua_rat |
efe124f3-8e12-45d2-a070-52728751cfeb | If -12 < x < 14, Then which of the following must be true ? | [
"A)x = -11",
"B)x <= 13",
"C)x > 12",
"D)x > -43",
"E)x >= 11"
] | D)x > -43 | aqua_rat |
8b403092-b1fd-4ffa-9fb4-60c27c4f04f2 | The R train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the R train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distanc... | [
"A)1.8m",
"B)6m",
"C)7m",
"D)9m",
"E)12m"
] | B)6m | aqua_rat |
bd06cd8b-980b-47b9-bc31-05222b0af55a | A towel, when bleached, lost 20% of its length and 20% of its breadth. What is the percentage decrease in area? | [
"A)24%",
"B)36 %",
"C)32%",
"D)54%",
"E)64%"
] | B)36 % | aqua_rat |
3fda9108-1e80-4794-b3d6-6eeb0dcf3a5e | A class has a ratio of 3:6:7 of children with red hair, blonde hair and black hair respectively. If the class has 9 kids with red hair, how many kids are there with black hair? | [
"A)7",
"B)6",
"C)9",
"D)21",
"E)63"
] | D)21 | aqua_rat |
5e75c94e-4ef4-4550-b173-dc59ed20a860 | What is the probability that out of the combinations that can be made using all the letters of the word EXCESS, Jerome will randomly pick a combination in which the first letter is a vowel and the last letter is a consonant? | [
"A)96/320",
"B)24/180",
"C)33/100",
"D)48/180",
"E)96/180"
] | D)48/180 | aqua_rat |
283e6de6-b338-410b-9ec1-5272764bc0c7 | A, B and C are inner angles in a triangle. If A= B+ C, what can't be the size of B? | [
"A)90 DEGREES",
"B)70 DEGREES",
"C)760 DEGREES",
"D)940 DEGREES",
"E)940 DEGREES"
] | A)90 DEGREES | aqua_rat |
953256b0-fb6a-49cd-b8ac-11eb0b5d05a3 | Length of a rectangular plot is 24 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? | [
"A)52 m",
"B)62 m",
"C)72 m",
"D)82 m",
"E)92 m"
] | B)62 m | aqua_rat |
06095050-f48e-439a-96f6-52d82a671ded | 8 machines can do a work in 10days. How many machines are needed to complete the work in 40days? | [
"A)2",
"B)6",
"C)4",
"D)7",
"E)5"
] | A)2 | aqua_rat |
24a4cfa7-80a2-4a73-a568-f36dc0ba303e | Calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks (out of 100) in Geography, History and Government, Art, Computer Science and Modern Literature ? | [
"A)71.6",
"B)70.6",
"C)80.6",
"D)60.6",
"E)50.6"
] | B)70.6 | aqua_rat |
a19d32e2-560e-4db1-95df-b6109ef78ee0 | If 20,371 + x is a multiple of 4, which of the following could be the value of x? | [
"A)1",
"B)2",
"C)3",
"D)4",
"E)6"
] | C)3 | aqua_rat |
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