query
stringlengths 27
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| choices
sequencelengths 5
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sequencelengths 1
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---|---|---|
What is the rate of interest at which the difference between simple interest and compound interest for 2 years on Rs.5000 is Rs.72? | [
"(A)10%",
"(B)12%",
"(C)6%",
"(D)8%",
"(E)4%"
] | [
1
] |
What is the number of Sam's files that were NOT infected by a worm, given that 50% of the 250 files were not infected by a virus, 2.5 times as many files are infected by a worm only as are infected by both a worm and a virus, and all files are infected by a virus, a worm, or both? | [
"(A)50",
"(B)70",
"(C)75",
"(D)100",
"(E)125"
] | [
2
] |
How will a father divide Rs. 5100 between his 23-year-old son Mohan and 24-year-old son Sohan so that when their shares are invested at a 4% p.a. compound interest, they will have equal amounts when they turn 26? | [
"(A)2400",
"(B)2500",
"(C)2600",
"(D)2700",
"(E)None of these"
] | [
1
] |
60 percent of 30 percent of 1400 grams equals what? | [
"(A)450 gms",
"(B)100 gms",
"(C)252 gms",
"(D)240 gms",
"(E)None of these"
] | [
2
] |
At a rate of w/25 gallons per x seconds, how long will it take in minutes for y gallons to drain? | [
"(A)y/(1200xy)",
"(B)20xy/w",
"(C)5xy/(12w)",
"(D)w/(3xy)",
"(E)3y/(wx)"
] | [
2
] |
What will be the weight of a 1 x 30 mm coin made of pure aluminum if a 2 x 15 mm coin made of an aluminum and silver alloy weighs 30 grams and silver is twice as heavy as aluminum? | [
"(A)36 grams",
"(B)40 grams",
"(C)42 grams",
"(D)48 grams",
"(E)50 grams"
] | [
1
] |
What number, when you subtract 10 from 2/3 of it, equals 40 plus 1/3 of the number? | [
"(A)100",
"(B)160",
"(C)150",
"(D)210",
"(E)220"
] | [
2
] |
What is the maximum integral value of 'k' that allows the quadratic equation x2 - 5x + k = 0 to have two distinct real roots? | [
"(A)9",
"(B)7",
"(C)3",
"(D)8",
"(E)12"
] | [
2
] |
What is 900 plus 5 times 12? | [
"(A)820",
"(B)202",
"(C)420",
"(D)209",
"(E)960"
] | [
4
] |
If Shweta travels 10 km per hour and takes a 10-minute rest after every 15 km, how many hours will it take her to cover 100 km | [
"(A)9 hours.",
"(B)10 hours.",
"(C)11 hours.",
"(D)12 hours.",
"(E)13 hours."
] | [
2
] |
How long would Mr. Sam's round trip have taken if he had driven both ways? | [
"(A)22 hrs",
"(B)18 hrs",
"(C)16 hrs",
"(D)20 hrs",
"(E)13 hrs"
] | [
4
] |
What percentage of the original dog food remained in the bowl when the dog ate at noon | [
"(A)20%",
"(B)25%",
"(C)30%",
"(D)35%",
"(E)40%"
] | [
0
] |
Here's a paraphrased version of the given text, preserving its structure and semantics:
John conducted a survey on car color preferences. The survey respondents were 60% female. Among the male respondents, 75% favored red over green cars. Given that 10 men preferred green cars to red ones, what was the total number of survey participants? | [
"(A)100",
"(B)120",
"(C)50",
"(D)200",
"(E)80"
] | [
0
] |
What are the number of ways a boy can climb to the top of a 10-step staircase, taking either single or double steps at a time? | [
"(A)88",
"(B)89",
"(C)90",
"(D)91",
"(E)92"
] | [
1
] |
What amount of orange juice must be added to a gallon of soft drink containing 40% orange juice to make the orange juice content 60%? | [
"(A)0.5",
"(B)1",
"(C)1.25",
"(D)1.5",
"(E)2"
] | [
0
] |
What is the units digit of 9 cubed minus 7? | [
"(A)1",
"(B)3",
"(C)5",
"(D)2",
"(E)4"
] | [
3
] |
There are 5 horses in the race and Mr. Jain randomly chooses 2 to bet on; what's the probability he picked the winner? | [
"(A)1/5",
"(B)2/5",
"(C)3/5",
"(D)4/5",
"(E)6/5"
] | [
1
] |
What is the sum of the digits of the 3-digit number N that yields the same remainder when 2272 and 875 are divided by it? | [
"(A)10",
"(B)11",
"(C)12",
"(D)13",
"(E)14"
] | [
0
] |
Given that the overall class average was 76, with passing students averaging 83 and failing students averaging 55, what percentage of the class achieved a passing grade? | [
"(A)44%",
"(B)66%",
"(C)68%",
"(D)72%",
"(E)75%"
] | [
4
] |
What was the worker's wage on the 8th day, given the average wages for the first 7 days was $87 per day, the last 7 days was $92 per day, and the overall average for 15 consecutive days was $90 per day? | [
"(A)$83",
"(B)$92",
"(C)$90",
"(D)$97",
"(E)$104"
] | [
3
] |
What is the smaller number in the original ratio of 3:5 that becomes 12:23 after subtracting 9 from each number? | [
"(A)21",
"(B)33",
"(C)35",
"(D)42",
"(E)58"
] | [
1
] |
What is Ajay's present age if subtracting 6 years from it and dividing the result by 18 gives Rahul's age, who is 2 years younger than 5-year-old Denis? | [
"(A)40",
"(B)60",
"(C)70",
"(D)80",
"(E)90"
] | [
1
] |
If Anna arranged her 4 books in every possible combination, moving one book per minute, how long would the process take? | [
"(A)22 minutes",
"(B)30 minutes",
"(C)15 minutes",
"(D)24 minutes",
"(E)35 minutes"
] | [
3
] |
The tyre manufacturer is providing a 20% discount on tubeless tyres, with some retailers offering extra savings. If a retailer offers an additional 20% off, what is the combined discount at that store? | [
"(A)10%",
"(B)25%",
"(C)28%",
"(D)30%",
"(E)36%"
] | [
4
] |
What is the area of the parking space in square feet if a rectangular parking space has three painted sides, with the unpainted side being 9 feet long and the total length of the painted sides being 37 feet? | [
"(A)46",
"(B)81",
"(C)126",
"(D)252",
"(E)None"
] | [
2
] |
How many different teams of 10 people can Peter form with his 10 friends to join him in a scavenger hunt? | [
"(A)0",
"(B)1",
"(C)2",
"(D)3",
"(E)4"
] | [
1
] |
What is the weight of the new crew member who replaced the 53 kg crew member, resulting in an average weight increase of 1.8 kg for the 10 oarsmen? | [
"(A)71",
"(B)62",
"(C)43",
"(D)67",
"(E)40"
] | [
0
] |
What is the value of n if there are 45 different ways to choose two balls from the box excluding the one marked 3? | [
"(A)11",
"(B)10",
"(C)9",
"(D)8",
"(E)7"
] | [
0
] |
What must be true about Q, a positive integer with 5 factors?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers. | [
"(A)I only",
"(B)III only",
"(C)II only",
"(D)I and II only",
"(E)I and III only"
] | [
1
] |
Given 6x - y = 24 and y = 3x, what value does x represent? | [
"(A)8",
"(B)9",
"(C)10",
"(D)11",
"(E)12"
] | [
0
] |
At what point would buying a $7.00 monthly membership and paying $2.00 per DVD rental be cheaper than paying $4.00 per DVD without a membership? | [
"(A)1",
"(B)2",
"(C)3",
"(D)4",
"(E)5"
] | [
3
] |
What is the weight of the bag of cat food in ounces? | [
"(A) 108",
"(B) 112",
"(C) 116",
"(D) 120",
"(E) 124"
] | [
2
] |
Working alone, Jack can clean a yacht in 12 hours. On a particular day, he completes two-thirds of the work. Jill, who cleans at 5% of Jack's rate, does the rest of the work. What is the time it takes Jill to complete the remaining work? | [
"(A)4",
"(B)8",
"(C)22",
"(D)50",
"(E)20"
] | [
4
] |
At what rate of interest did the professors borrow Rs. 5000 from the university, if they paid Rs. 300 in interest after 3 years? | [
"(A)2%",
"(B)8%",
"(C)5%",
"(D)10%",
"(E)None of these"
] | [
0
] |
During the sale, all items had a 20% discount. Vinit bought an article for Rs. 4578 in the sale, so what was its original price? | [
"(A)s.5050",
"(B)s.5723",
"(C)s.5040",
"(D)s.4950",
"(E)s.4870"
] | [
1
] |
What is the cost in dollars of B bottles of soda if 27 bottles cost A cents? | [
"(A)AB/2700",
"(B)27/AB",
"(C)AB/270",
"(D)2700/AB",
"(E)100AB/27"
] | [
0
] |
In what ways can you choose 3 candy bars out of 11 with varying prices so the total exceeds $4? | [
"(A)8",
"(B)28",
"(C)46",
"(D)66",
"(E)70"
] | [
2
] |
What is the number of distinct presenter groups that can be formed from a team of 4 men and 4 women, with the condition that the group must include at least one man and one woman? | [
"(A)120",
"(B)19",
"(C)180",
"(D)420",
"(E)460"
] | [
1
] |
In a certain class, what is the number of girls if 100 boys make up 3/5ths of the class? | [
"(A)50",
"(B)100",
"(C)150",
"(D)200",
"(E)70"
] | [
2
] |
What is the likelihood of selecting a number from the set of integers 1 to 1,000 that shares no common divisors with 1,000 other than 1? | [
"(A)5/7",
"(B)3/5",
"(C)4/7",
"(D)2/5",
"(E)2/7"
] | [
3
] |
What was Charles' initial investment, given that it earned 8% annual interest compounded semi-annually and yielded $54,080 after one year, including interest and principal? | [
"(A)$45,000",
"(B)$50,000",
"(C)$54,000",
"(D)$59,000",
"(E)$62,000"
] | [
1
] |
What is Joe's father's current age, given that the combined ages of Joe, his sister, and his father equal 100, and that when Joe reaches his father's age, his sister will be twice her current age, and at that time his father will be twice as old as he was when his sister was his current age. | [
"(A)45",
"(B)48",
"(C)50",
"(D)55",
"(E)58"
] | [
2
] |
What is the number if one third of 3/4 of it equals 21? | [
"(A)84",
"(B)66",
"(C)28",
"(D)19",
"(E)11"
] | [
0
] |
What percentage of x is m, in terms of y, if x is m percent of 4y? | [
"(A)y/400",
"(B)4y",
"(C)50y",
"(D)2500/y",
"(E)5000/y"
] | [
3
] |
How many different combinations of fruit and vegetable can the man choose for breakfast and dinner, given 6 fruit options and 8 vegetable options, with one type eaten at a time? | [
"(A)54",
"(B)24",
"(C)48",
"(D)20",
"(E)36"
] | [
2
] |
In Burghtown, if five registered voters are randomly selected, what are the chances that four of them voted in the last election given a 90% voter turnout? | [
"(A)26.2%",
"(B)32.8%",
"(C)43.7%",
"(D)59.0%",
"(E)65.6%"
] | [
4
] |
How many meters of fencing will Alice need for a 240 square meter yard with a 10-meter unfenced side? | [
"(A)58",
"(B)62",
"(C)66",
"(D)70",
"(E)74"
] | [
0
] |
How many 3-letter codes can be formed using 5 vowels and 20 consonants, with a vowel as the middle letter and different consonants as the first and third letters? | [
"(A)1,980",
"(B)2,020",
"(C)2,100",
"(D)2,200",
"(E)1,900"
] | [
4
] |
What are three consecutive integers whose product equals 727+728+729. | [
"(A)37",
"(B)38",
"(C)36",
"(D)30",
"(E)39"
] | [
4
] |
The volume of a tank measuring (8 m × 6 m × 2.5 m) is | [
"(A)120 litres",
"(B)1200 litres",
"(C)12000 litres",
"(D)120000 litres",
"(E)None of these"
] | [
3
] |
With a city population of 5265526 and 4169516 adults, what is the number of children? | [
"(A)1095961",
"(B)1065961",
"(C)1085961",
"(D)1097961",
"(E)1096061"
] | [
4
] |
If a worker's 9-minute drive from home to work averages 20 kilometers per hour, how long will the same route take at 6 kilometers per hour by bike? | [
"(A)30",
"(B)32",
"(C)35",
"(D)36",
"(E)40"
] | [
0
] |
If P and Q eat the jar of candies together, how long will it take them to finish it? | [
"(A)4",
"(B)5",
"(C)6",
"(D)7",
"(E)8"
] | [
1
] |
What is the total profit from selling 500 bags of ice at a 20% markup for $1.25 per bag? | [
"(A)125",
"(B)150",
"(C)225",
"(D)250",
"(E)275"
] | [
0
] |
Subsets and Splits