antoine-444/aqua_rat_dataset huggingface dataset:
Question: After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 6 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7
Choices:
A
B
B-
C+
Answer: A
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 45 kms. what was the total distance traveled in 12 hours?
Choices:
152 kms
672 kms
752 kms
152 kms
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
240 m
300 m
350 m
None of these
Answer: A
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
635.50
635.57
635.52
635.51
Answer: A
Question: A man brought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbour. Now he left out with 36 eggs. Hw many eggs he brought
Choices:
200
72
40
36
Answer: A
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Choices:
48 min. past 12.
45 min. past 12.
47 min. past 12.
49 min. past 12.
Answer: A
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Choices:
Rs. 2660
Rs. 2800
Rs. 2840
Rs. 2820
Answer: A
Question: If (5+k)(5-k)=(5^2)-(2^3),then what is the value of K?
Choices:
3
4
2
6
Answer: C
Question: The sum of three consecutive multiples of 3 is 108. What is the largest number?
Choices:
39
33
30
42
Answer: A
Question: In 18 minutes, the minute hand gains over the hour hand by
Choices:
80°
88°
99°
110°
Answer: C
Question: The roof of an apartment building is rectangular and its length is 7 times longer than its width. If the area of the roof is 847 feet squared, what is the difference between the length and the width of the roof?
Choices:
40.
66.
44.
46.
Answer: B
Question: P, Q and R have $6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
2400
3998
2539
1930
Answer: A
Question: A(3, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 -1. What is the value of w?
Choices:
2.
5.
6.
9.
Answer: A
Question: R is a positive integer and 225 and 216 are both divisors of R. If R=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
Choices:
8
6
7
4
Answer: A
Question: Which one of the following can't be the square of natural number ?
Choices:
32761
42437
81225
None of these
Answer: B
Question: 5358 x 52 = ?
Choices:
272358
278616
274258
274358
Answer: B
Question: The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 7!?
Choices:
4(5!)
6(5!)
5(5!)
7(5!)
Answer: C
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
2 : 9
2 : 5
2 : 4
2 : 2
Answer: B
Question: If an integer e is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that e(e + 1)(e + 2) will be divisible by 8?
Choices:
3/8
1/2
5/8
3/4
Answer: C
Question: During a Pizza buffet where A eats more times 2.6 than B, and B eats 4 times less than C.find the least number of times all the three has to eat
Choices:
260
270
280
285
Answer: A
Question: One side of rectangular field is 15 meter and one of its diagonals is 17 meter. Then find the area of the field.
Choices:
120m2
140m2
150m2
160m2
Answer: A
Question: A bowl was filled with 5 ounces of milk, and 0.0025 ounce of the milk evaporated each day during a 30-day period. What percent of the original amount of milk evaporated during this period?
Choices:
B)0.015%
C)1.5%
D)150%
E)1500%
Answer: B
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:14. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
14
13
10
12
Answer: A
Question: The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
3
4
8
9
Answer: B
Question: In three years, John will be three times younger to his mother. Six years ago, John's Mother age was Square of John's age age squared. How old is John's mother after 5 years?
Choices:
36
40
47
45
Answer: C
Question: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 70 minutes later?
Choices:
7(10^5)
(2^7)(10^5)
(10^7)(10^5)
(10^5)^7
Answer: B
Question: An amount of money is to be divided between A, B and C in the ratio of 2:5:10. If the difference between the shares of A and B is Rs.1500, what will be the difference between B and C's share?
Choices:
3000
2500
2999
2678
Answer: B
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 4 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
4 minutes, 21.8 seconds
4 minutes, 43.56 seconds
5 minutes, 10.4 seconds
4 minutes, 44.44 seconds
Answer: C
Question: The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
Choices:
125
821
912
121
Answer: A
Question: If GCD of two numbers (both integers, greater than 1) is 1, then which of the following must be true?
1. They are prime.
2. They are consecutive.
3. They do not have a common prime factor
4. They do not have a common factor other than 1
Choices:
Only 2
Only 3 and 4
Only 1 and 4
1, 2, 3 and 4
Answer: B
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
11 years
10 years
8 years
4 years
Answer: D
Question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Choices:
24
30
32
34
Answer: B
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 49 more. What was his original selling price?
Choices:
$770
$700
$1100
$840
Answer: A
Question: 10 play kabadi, 40 play kho kho only, 5 play both gmaes. Then how many in total?
Choices:
35
38
40
50
Answer: D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40
77
26
21
Answer: A
Question: If both 5^2 and 3^3 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
Choices:
75
150
225
343
Answer: A
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
77
66
18
99
Answer: C
Question: 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours Z will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
Z=4.
Z=5.
6.
8.
Answer: B
Question: If in a clock the number 1 to 12 are replaced with alphabet starting from F, then which of the following options shall indicate the time as 9'0 clock?
Choices:
Q - N
P - M
N - P
N - Q
Answer: D
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/2
1/5
1/1
1/4
Answer: B
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
88%
18%
14%
28%
Answer: B
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
360 sec
178 sec
187 sec
189 sec
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
27
28
11
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
3/31
4/17
3/19
8/21
Answer: D
Question: how many internal diagonals does a heptagon (seven sided polygon) have?
Choices:
9
14
20
35
Answer: B
Question: From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Choices:
1260
1060
1160
1460
Answer: A
Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Choices:
3:9
21:22
1:2
11:13
Answer: B
Question: In what time will a train 95 m long cross an electric pole, it its speed be 214 km/hr?
Choices:
1.6 sec
2.7 sec
8.7 sec
8.5 sec
Answer: A
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
2:3:4
6:7:9
8:9:7
1:8:7
Answer: A
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
Choices:
5
23
4
2
Answer: A
Question: Find the average of all the numbers between 40 and 80 which are divisible by 3.
Choices:
70
20
60
None
Answer: C
Question: When a stone is dropped from a building 200 m high, its speed is proportional to the time elapsed after dropping. The distance traveled is proportional to the square of the time elapsed. After 1 second the speed of the train was 10 m/sec and it was 190 m above the ground. When its speed is 25 m/sec, what would be its distance from the ground?
Choices:
137.5 m
125.75 m
142.5 m
152.5 m
Answer: A
Question: A foreign language club at Washington Middle School consists of n students, 3/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 3/4 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?
Choices:
n / 3
n / 5
2n / 15
n / 15
Answer: D
Question: Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
Choices:
25
15
35
30
Answer: C
Question: In the quadratic equation ax2 - 11x + 40 = 0, if the sum of two roots is 1.1, what is the product of the two roots?
Choices:
4
8
9
None of these
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
1 kmph
6 kmph
2 kmph
3 kmph
Answer: B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
Rs.4528
Rs.4527
Rs.4530
Rs.4383
Answer: C
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choices:
Rs:10123.29
Rs:10123.20
Rs:10123.28
Rs:10123.12
Answer: B
Question: Jaime earned enough money by selling seashells at 30 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Choices:
22
17
25
30
Answer: A
Question: 3889 + 12.952 - ? = 3854.002
Choices:
47.752
47.932
47.95
none of the above
Answer: C
Question: Bill has a small deck of 10 playing cards made up of only 2 suits of 5 cards each. Each of the 5 cards within a suit has a different value from 1 to 5; 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 5 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
Choices:
35/43
45/53
55/63
65/73
Answer: C
Question: If x is 20 percent greater than 55, then x =
Choices:
70.4
86
66
108
Answer: C
Question: A 290 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
210 m
260 m
320 m
330 m
Answer: A
Question: The odds in favour of an event are 3 : 5. The probability of occurrence of the event is ?
Choices:
3/8
1/3
1/5
1/4
Answer: A
Question: A person purchases 90 watches and sells 40 watches at a gain of 10% and 50 watches at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got $ 40 less. The cost price of each clock is:
Choices:
90
80
60
50
Answer: B
Question: 49 pumps can empty a reservoir in 13/2 days, Working 8 hours a day. If 196 pumps are used for 5 hours each day, then the same work will be completed in:
Choices:
5/2 days
13/5 days
3 days
None of these
Answer: B
Question: If it takes 6 identical printing presses exactly 4 hours Q to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
Choices:
4 hours, 20 minutes
4 hours, 48 minutes
5 hours, 48 minutes
6 hours, 50 minutes
Answer: B
Question: Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 2500. then his monthly salary is
Choices:
Rs. 12500
Rs. 8000
Rs. 6000
Rs. 15000
Answer: A
Question: What will be the compound interest on a sum of Rs. 30,000 after 3 years at the rate of 12% p.a.?
Choices:
s:10123.29
s:10123.20
s:10123.28
s:12147.84
Answer: D
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.75 km and 1.10 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
9
7
66
15
Answer: C
Question: A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 60 km/hour. At what speed, in km/hr, is the car traveling?
Choices:
72
74
75
55
Answer: D
Question: A small water pump would take an hour to fill an empty tank. A larger pump would take 1/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
Choices:
1/4
1/5
1/6
1/2
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 20 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2/7 hours
2/3 hours
1/3 hours
2/5 hours
Answer: B
Question: In what ratio must water be mixed with milk to gain 16 2/3% on selling the mixture at cost price ?
Choices:
1:1
1:2
1:6
1:5
Answer: C
Question: Find the compound ratio of (2:3), (6:11) and (11:4) is
Choices:
2:1
1:1
4:5
2:3
Answer: B
Question: Sonika deposited Rs.8000 which amounted to Rs.10200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
10680
2999
2774
1212
Answer: A
Question: Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?
Choices:
Rs 11
Rs 16.50
Rs 27.50
None of these
Answer: C
Question: The calendar for the year 2007 will be the same for the year:
Choices:
2016
2017
2018
2019
Answer: C
Question: Which of the following best approximates the value of q if 5^25+5^15=5^q ?
Choices:
26
25
24
20
Answer: B
Question: Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has twu iron coins and twu copper coins, how many different sums from 1¢ to 14¢ can he make with a combination of his coins?
Choices:
8
9
4
12
Answer: A
Question: Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 81^5?
Choices:
8
10
15
20
Answer: D
Question: A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 261 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
Choices:
408
550
625
700
Answer: A
Question: What is the least number should be added to 1156, so the sum of the number is completely divisible by 25?
Choices:
19
5
6
8
Answer: A
Question: The expression (5x-1)/(x+3) is equivalent to which of the following?
Choices:
5 – (2/3)
5 – (x)/(x+3)
5 – (17)/(x+3)
5 - (16)/(x+3)
Answer: D
Question: Find value of X: (323^23 + 73^44 + 413^30) - (317 × 91) = ?
Choices:
35546
52150
68542
56842
Answer: B
Question: In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
Choices:
20%
25%
33 1/3%
35%
Answer: C
Question: Jim and Joe split the bill based on the amount of space they take up in their apartment. Jim pays for two-fifths of it and Joe pays the rest. If Jim pays 30 dollars, how much will Joe have to pay?
Choices:
45
55
40
60
Answer: A
Question: What is the units digit of 3333^(333)*3333^(222)?
Choices:
2
4
6
8
Answer: C
Question: If H = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in H than the median of the numbers in H?
Choices:
1.0
2.0
2.5
3.0
Answer: A
Question: A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord L in feet?
Choices:
25
15
10
5
Answer: C
Question: A man's speed with the current is 20 kmph and speed of the current is 6 kmph. The Man's speed
against the current will be
Choices:
12 kmph
14 kmph
8 kmph
None of these
Answer: C
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the number of heads. Find the total number of cows.
Choices:
12
16
18
20
Answer: A
Question: The cost price of a cow and a horse is Rs 3 lakhs. The cow is sold at 20% profit and the horse is sold at 10% loss. Overall gain is Rs 4200. What is the cost price of the cow?
Choices:
88
271
273
111
Answer: D
Question: I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy?
Choices:
1/3
1/6
2/3
1/9
Answer: A
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
35
28
49
70
Answer: A
Question: n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 4000m race?
Choices:
700
400
600
800
Answer: C
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/8
5/1
5/6
5/2
Answer: C
Question: K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?
Choices:
46400
46129
46411
41222
Answer: A
Question: A man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
9.0kmph
7.0kmph
6.5kmph
7.2kmph
Answer: D
Question: What is the median from the below series
90, 92, 93, 88, 95, 88, 97, 87, and 98
Choices:
89
92
98
100
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?
Choices:
80feet
60feet
50feet
20feet
Answer: A
Question: The population of a town is 7600. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Choices:
9400
8500
9500
10000
Answer: A
Question: A trader marks his books 30% more than the cost price. If he allows 30% discount, then find his gain or loss percent?
Choices:
2% loss
4% loss
No profit No loss
9% loss
Answer: D
Question: A boat can move upstream at 33 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
1
7
8
9
Answer: A
Question: If a certain number is divided by 3, the quotient, dividend, and divisor, added together, will amount to 63. What is the number?
Choices:
28
45
38
59
Answer: B
Question: A contractor undertook to do a piece of work in 8 days. He employed certain number of laboures but 3 of them were absent from the very first day and the rest could finish the work in only 14 days. Find the number of men originally employed ?
Choices:
7.5
5
6
7
Answer: D
Question: nd the area of trapezium whose parallel sides are 20 cm and 15 cm long, and the distance between them is 14 cm?
Choices:
245cm2
255cm2
260cm2
280cm2
Answer: A
Question: A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money M did Bob receive?
Choices:
22
24
26
52
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :
Choices:
Rs. 690
Rs. 650
Rs. 698
Rs. 765
Answer: C
Question: A train ,140 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
245 m
235 m
220 m
240 m
Answer: B
Question: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction C of the area of triangle ABC is the area of triangle XYZ?
Choices:
1/9
1/6
1/5
1/3
Answer: A
Question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
1640
1240
1680
1270
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
267
200
750
281
Answer: C
Question: If L = 775 × 778 × 781, what is the remainder when L is divided by 14?
Choices:
6
8
9
10
Answer: A
Question: Sum of two numbers prime to each other is 16 and their L.C.M. is 63. What are the numbers?
Choices:
8 and 9
11 and 5
7 and 8
7 and 9
Answer: D
Question: Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?
Choices:
1/3
3/6
3/8
5/3
Answer: C
Question: Two friends A and B leave point A and point B simultaneously by bicycle and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long will B take to cover the entire journey between Point B and point A?
Choices:
70
75
80
90
Answer: D
Question: The division of a whole number N by 14 gives a quotient of 18 and a remainder of 2. Find N.
Choices:
254
597
997
297
Answer: A
Question: If 2/3 of the air in a tank is removed with each stroke of a vacuum pump, how many strokes does it take before less than 1% of the original amount of air in the tank remains?
Choices:
3
4
5
6
Answer: C
Question: A man jumps into a river from a overbridge ,at the same time a hat drops in the river which flows with the stream of the water. That man travels 10 minute upstream and returns back where he was asked to catch the hat. He catches hat at a distance of 1000 yard down at a second bridge . Find the speed of the river.
Choices:
50 yards per minute
60 yards per minute
55 yards per minute
45 yards per minute
Answer: A
Question: Two cars cover the same distance at the speed of 48 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
138
192
83
93
Answer: B
Question: total dinning bill of 5 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
Choices:
22.84
30.58
24.84
30.84
Answer: B
Question: The distance between Delhi and Mathura is 170 kms. A starts from Delhi with a speed of 20 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?
Choices:
11.20 a.m.
10.30 a.m.
11.40 a.m.
1.40 a.m.
Answer: A
Question: If f(x)= 5x^3- 2x+8 and g(y)= 6y+4, then g(f(x)) =
Choices:
30x^3-12x+52
8x^3-8x+32
30x^3+4x+4
30x^3-12x+44
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at:
Choices:
6.42 a.m
7.55 a.m
7.42 a.m
None
Answer: C
Question: If 5a + 7b = t, where a and b are positive integers, what is the largest possible value of t for which exactly one pair of integers (a, b) makes the equation true?
Choices:
48
69
70
74
Answer: C
Question: A software programmer does 20% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
13x /15
7x/15
2x/30
13x/30
Answer: A
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 12 to the thrice of the remainder. The dividend is
Choices:
78
86
126
98
Answer: C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1000 per sq. metre.
Choices:
Rs. 15550
Rs. 15600
Rs. 20625
None of these
Answer: C
Question: What must be added to each term of the ratio 7:11, So as to make it equal to 3:4?
Choices:
7.5
6.5
5
6
Answer: C
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
245
320
620
Answer: A
Question: A ladder 14 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 9 feet from the base of the wall. If the top of the ladder slips down 1 feet, how many feet will the bottom of the ladder slip?
Choices:
10
18
19
25
Answer: A
Question: What day of the week was 1 January 1901
Choices:
Tuesday
Saturday
Friday
Sunday
Answer: A
Question: ((-1.9)(0.6) – (2.6)(1.2))/2.0 = ?
Choices:
-2.13
1.07
1.71
2.71
Answer: A
Question: Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 52,000 after completion of one year. What will be Madhu's share of profit?
Choices:
Rs. 26,000
Rs. 30,000
Rs. 36,000
None of these
Answer: A
Question: In 22 minutes, the minute hand gains over the hour hand by
Choices:
80°
88°
96°
121°
Answer: D
Question: lexus car agency has 189 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
Choices:
56
38
39
40
Answer: A
Question: Tom, working alone, can paint a room in 10 hours. Peter and John, working independently, can paint the same room in 5 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: A group consists of 5 men, 5 women and 3 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?
Choices:
300 ways
500 ways
360 ways
380 ways
Answer: A
Question: A butler is promised Rs. 100 and a cloak as his wages for a year. After 7 months he leaves this service, and receives the cloak and Rs.20 as his due. How much is the cloak worth?
Choices:
98
92
72
71
Answer: B
Question: A barrel holds 4 litres of paint and 4 litres of turpentine. How many quarts of turpentinemust be added to the container to create a mixture that is 3 parts petrol to 5 parts turpentine by volume?
Choices:
5/3
7/3
8/3
10/3
Answer: C
Question: A car covers a certain distance at aspeed of 50 kmph in 5 hours. To cover the same distance in 2 hrs, it must travel at a speed of?
Choices:
125 km/hr
782 km/hr
789 km/hr
720 km/hr
Answer: A
Question: Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.25 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.5
$4.80
$5.05
$5.40
Answer: A
Question: If it is 7:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
Choices:
7:24
7:27
7:30
7:32
Answer: C
Question: In covering a distance of 90 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:
Choices:
8 km/h
10 km/h
15 km/h
25 km/h
Answer: C
Question: What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x
Choices:
92
94
98
104
Answer: B
Question: In a certificate by mistake a candidate gave his height as 20% more than actual height. In the interview panel, he clarified that his height was 5 feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
13
30
43
50
Answer: A
Question: In Township K each property is taxed at 12 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
Choices:
$50
$320
$400
$480
Answer: D
Question: A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour?
Choices:
4.2
6.1
7.2
8.5
Answer: C
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Choices:
60%
75%
80%
83%
Answer: B
Question: If f(a)=a^2, what is the value of (f(a+b)+f(a))/b ?
Choices:
b
2a
2a + b
2a+b+2a^2
Answer: D
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
4.04%
4.16%
4.20%
5.04%
Answer: A
Question: Pipe A fills a tank of capacity 700 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Choices:
42 minutes
39 minutes
40 minutes 20 seconds
None of these
Answer: A
Question: If x is divisible by 2 and 7, which of the following must divide evenly into x? I. 60 II. 32 III. 14
Choices:
I,III only
I only
III only
II only
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 66900. What is his profit percent?
Choices:
19%
18%
21.6%
16%
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 36 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:6
4:9
4:2
Answer: B
Question: Betty picked a number of pears, each of which she sold, canned, or poached. If she canned 30 percent more than she poached, and she poached 10 percent less than she sold. If there were a total of 614 pears, then how many pears did she sell?
Choices:
200
210
220
230
Answer: A
Question: The second smallest prime number is?
Choices:
67
73
21
23
Answer: A
Question: If the length of an edge of cube M is four times the length of an edge of cube N, what is the ratio of the volume of cube N to the volume of cube M?
Choices:
1/16
1/8
1/64
1/12
Answer: C
Question: The number of permutations of the letters of the word 'REMEMBER' is?
Choices:
8!/(2!)2 8!
8!/(8!)2 3!
8!/(2!)2 3!
8!/(2!)2 1!
Answer: C
Question: The number 311311311311311311311 is:
Choices:
divisible by 11 but not by3
divisible by both 3 and 11
neither divisible by 3 nor by 11.
none of these
Answer: C
Question: During a two-week period, the price of an ounce of silver increased by 5 percent by the end of the first week and then decreased by 10 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
Choices:
0.945x
0.995x
1.05x
1.15x
Answer: A
Question: Simple interest on a certain sum is 9 over 25 of the sum. Find the rate per cent and time, if both are equal.
Choices:
6% and 6 years
10% and 10 years
6 % and 6 years
None of these
Answer: C
Question: A data set with a mean of 90 has a standard deviation of 2.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
Choices:
56
59
63.5
87
Answer: D
Question: if A=2^65 AND B=2^64+2^63.....+2^0
Choices:
B is larger than A by 1
A is larger than B by 1
A is equal to B
None
Answer: B
Question: X, Y and Z together invested Rs.106000, X invested Rs.4000 more than Y, and Rs.10000 more than Z. what is the share of X out of annual profit of Rs.26500 ?
Choices:
Rs.10000
Rs.10500
Rs.11000
Rs.11500
Answer: A
Question: A trade analyst announced 10% reduction in the unit price of bike. As a result, the sales volume went up by 25%. What was the net effect on the sales revenue?
Choices:
decreases by 12.5%
increases by 12.5%
increases by 10%
None of these
Answer: B
Question: 10, 50, 13, 45, 18, 38, ?.
What a number should replace the question mark?
Choices:
27
25
46
51
Answer: B
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 4 seconds, the speed of each train (in km/hr) is
Choices:
36
108
120
124
Answer: B
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 4/9 of its own speed and got to its destination in 13 hours?
Choices:
2.22 hrs
5.22 hrs
6.22 hrs
7.22 hrs
Answer: D
Question: In a college, 50% of total 400 Arts students are Locals. 25% of students from 100 Science students are locals and 85% of total 120 Commerce students are locals. What is the total percentage of locals from Arts, Science and Commerce.
Choices:
340
333
327
500
Answer: C
Question: Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?
Choices:
2/5
1/2
3/5
2/3
Answer: C
Question: What is the quotient between the place values of two 5's in the numeral 57005
Choices:
0.5
49995
50000
10000
Answer: D
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
3/4
5/6
6/8
Answer: A
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 77 kph. If Truck Q is 4 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 15 minutes?
Choices:
3 kph
5 kph
7 kph
9 kph
Answer: D
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 20%. Their gross income from sales for one month increases by what percent?
Choices:
4%
5%
8%
12%
Answer: C
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 22% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
13000
16688
26678
19987
Answer: A
Question: 50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed?
Choices:
666 days
555 days
5126 days
100 days
Answer: D
Question: The average age of three persons is 52 years. Their ages are in the proportion of 1:5:7. What is the age in years of the oldest one among them.
Choices:
12 years
60 years
70 years
80 years
Answer: C
Question: The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Choices:
877.4
577.4
477.4
177.4
Answer: A
Question: If A is thrice as fast as B and together can do a work in 21 days. In how many days A alone can do the work?
Choices:
42
28
54
45
Answer: B
Question: When n is divided by 5 the remainder is 3. What is the remainder when (n + 3)^2 is divided by 5?
Choices:
1
2
3
4
Answer: A
Question: A team scored a total of 126 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Choices:
B)7
C)8
D)9
E)10
Answer: C
Question: The sale price sarees listed for Rs.400 after successive discount is 20% and 15% is?
Choices:
272
342
762
269
Answer: A
Question: The diameter of the wheel of a car is 120m. How many revolution/min mustthe wheel makeing order to keep a speed of 60 km/hour approximately?
Choices:
160
220
250
265
Answer: D
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Choices:
11760
5040
3000
2000
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 14 days. In how many days can Q alone complete the work?
Choices:
18 1/2 days
19 1/2 days
14 1/4 days
10 1/2 days
Answer: A
Question: If an investor puts $800 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choices:
$880
$882
$884
$886
Answer: B
Question: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical?
Choices:
432
23
2 to the power(23)-1
25
Answer: B
Question: How many three digits number can be formed by using the digits 1,2,3,4,5?
Choices:
125
225
325
252
Answer: A
Question: One out of every 250 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
5,000
10,000
50,000
25,000
Answer: D
Question: Can you please walk me through how to best approach this problem? Thanks
If #p# = ap^3+ bp – 1 where a and b are constants, and #-5# = 6, what is the value of #5#?
Choices:
0
-8
-3
-5
Answer: B
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Choices:
81.6
81.0
281.6
81.2
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Choices:
3.34 sq m
3.24 sq m
3.36 sq m
5.34 sq m
Answer: A
Question: If the gross salary for first year is Rs. 45000 and an employee has two options to choose from for increment .Either he can opt for 4% yearly increase or Rs. 25000/- yearly increase on the gross salary. If an employee choose the first option, after how many years his salary will be more than the option two ?
Choices:
16 years
17 years
18 years
19 years
Answer: C
Question: A ranch has both horses and ponies. Exactly 5/7 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Choices:
37
41
45
49
Answer: C
Question: An empty wooden vessel weighs 14% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choices:
5/9
1/24
4/9
7/13
Answer: D
Question: In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
Choices:
25 %
33 1/3 %
50%
75%
Answer: A
Question: A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values Q are within three standard deviations of the mean?
Choices:
1
3
6
7
Answer: A
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Choices:
75 km/hr
80 km/hr
87.5 km/hr.
97.5 km/hr.
Answer: C
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 60% problems right. How many more questions he would have to answer more to get
passed
Choices:
5
7
8
9
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 9 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
4
12
14
27
Answer: C
Question: A soda machine sells both bottles and cans, and no other items. Bottles cost $1.50 each, while cans cost $0.75 each. If on one day, the soda machine sold 250 total beverages and yielded $315, how many more bottles than cans were sold?
Choices:
80
90
115
170
Answer: B
Question: The probability that a visitor at the mall buys a pack of candy is 10%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
0.015
0.027
0.036
0.054
Answer: B
Question: Two years ago, Ram put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 20%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000 ?
Choices:
25%
35%
30%
32%
Answer: D
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1289
1210
1129
1123
Answer: B
Question: A number increased by 40% gives 1680. The number is?
Choices:
1600
1200
1500
600
Answer: B
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 40% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
714 2/7 grams
714 8/3 grams
714 1/3 grams
732 1/3 grams
Answer: A
Question: Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Choices:
1500
4400
6200
7400
Answer: A
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but the last one contained 8 books and that last shelf contained 3 books, how many shelves does the bookcase have?
Choices:
4
6
7
8
Answer: A
Question: Lanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: C
Question: If x is a randomly chosen integer between 1 and 20, inclusive, and y is a randomly chosen integer between 21 and 40, inclusive, what is the probability that xy is a multiple of 4?
Choices:
1/3
3/8
7/16
½
Answer: D
Question: 10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is ?
Choices:
7
3
9
2
Answer: B
Question: In a sample of graduate students in a program, 20 percent are second-year students, and 80 percent are not first-year students. What percentage of the students at the law firm have been there for more than two years?
Choices:
30
40
50
60
Answer: D
Question: If x+y=25 and x2y3 + y2x3=25, what is the value of xy?
Choices:
1
3
4
5
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
79.0
79.5
79.2
79.1
Answer: C
Question: If 12 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
10•10
10•9
66
36
Answer: C
Question: A pupil's marks were wrongly entered as 79 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
80
20
68
26
Answer: C
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
days
days
1/2 days
days
Answer: A
Question: What will be the day of the week 15th August, 2010?
Choices:
Sunday
Tuesday
Thursday
Friday
Answer: A
Question: What must be added to each of the numbers 7, 11 and 19, so that the resulting numbers may be in continued proportion?
Choices:
5
4
-3
-2
Answer: C
Question: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent E of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: Find the simple interest on Rs.520 for 7 months at 8 paisa per month?
Choices:
270
291
266
121
Answer: B
Question: If the digits of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?
Choices:
68
95
86
89
Answer: A