antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
140 metres
Answer: C
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
12 days
17 days
16 days
18 days
Answer: A
Question: A train 220 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
5
12
8
Answer: C
Question: The original price of a car was $18,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 10%. After a week, the car had not sold, so the owner discounted the new price by 10%, and the car was finally sold. What price was the car sold for?
Choices:
$17,760
$17,780
$17,800
$17,820
Answer: D
Question: Difference between the length &breadth of a rectangle is 30 m. If its perimeter is 300 m, then its area is?? We have: (l - b) = 30 and 2(l + b) = 300 or (l + b) = 150?
Choices:
2:3
3:6
3:4
3:2
Answer: D
Question: The average of two numbers is XY. If one number is X, then the other number is
Choices:
Y⁄2
2XY – X
X(Y – 1)
None of these
Answer: B
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
Choices:
Rs.1230
Rs.1260
Rs.1290
Rs.1270
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 4 seconds. Find the length of the train.
Choices:
66.67
772
252
121
Answer: A
Question: If b + xy = b and x is not equal to 0, which of the following must be true?
Choices:
y=0
x=y
x<y
x+y=0
Answer: A
Question: The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are
Choices:
15, 20, 25
18, 24, 42
22, 36. 48
None
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 42 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
30 m
80 m
82 m
84 m
Answer: A
Question: What is the lowest possible common multiple D of 2 distinct integers, each greater than 329?
Choices:
330^2
33·331
660
330
Answer: C
Question: A train moves fast a telegraph post and a bridge 220 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
39
66
79.2
79.1
Answer: B
Question: 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?
Choices:
230
291
112
221
Answer: A
Question: If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.
Choices:
1/99
1/11
1/12
1/10
Answer: C
Question: If a:b = 4:8 and b:c = 3:2 find a:b:c?
Choices:
3:4:8
3 : 6 : 4
4:6:3
None of these
Answer: B
Question: A wheel that has 12 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:
Choices:
10
6
18
7
Answer: C
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
5 1/5 Km
None of these
Answer: A
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
1/3
2/5
2/7
3/5
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 4 years. The sum is:
Choices:
s. 690
s. 698
s. 700
s. 737
Answer: D
Question: A tourist purchased a total of $1,000 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,270
$770
Answer: D
Question: When tossed, a certain coin has an equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Choices:
1/6
1/8
1/12
1/16
Answer: B
Question: $4,000 is deposited in a savings account that pays 8% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?
Choices:
$4326.40
$4256.21
$4316.54
$4312.45
Answer: A
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1100 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
14000
12019
12197
12012
Answer: A
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Choices:
12:17
21:32
32:21
17:32
Answer: B
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
1000
8216
2991
2881
Answer: A
Question: Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/3 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
Choices:
1/2
3/4
4/5
5/6
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
12
13
15
14
Answer: B
Question: Find the area of a cuboid of length 15cm , breadth 10 cm . and height 16cm.
Choices:
2400 cm cube
2420 cm cube
2430 cm cube
2480 cm cube
Answer: A
Question: By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
Choices:
444.44
444.42
444.429
444.428
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 15% per annum then the gain of B in a period of 3 years is?
Choices:
525
510
530
550
Answer: A
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Choices:
88 km/hr
87.5 km/hr
67 km/hr
77 km/hr
Answer: B
Question: If d and t are integers and d^2 – t^2 is an odd integer, which of the following must be an even integer?
I. d + t + 2
II. d^2 + 2dt + t^2
III. d^2 + t^2
Choices:
None
II only
III only
I, II, and III
Answer: A
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 72. What is the difference between the two digits of the number?
Choices:
6
3
Cannot be determined
None of these
Answer: D
Question: There are three different hoses used to fill a pool: hose U, hose y, and hose z. Hose U can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3
Choices:
II
III
II &III
I &II
Answer: A
Question: Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
Choices:
151 pages
751 pages
451 pages
351 pages
Answer: C
Question: If 2 men can color 50 m long cloth in 2 days, then 4 men can color 100 m long cloth in?
Choices:
4 days
5 days
2 days
6 days
Answer: C
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 28 laps around the track per hour and Nick completes 13 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
Choices:
8
12
16
20
Answer: C
Question: By selling 32 carrots in a dollar, a man loses 40%. How many carrots must he sell in a dollar to gain 20% profit?
Choices:
16
20
25
28
Answer: A
Question: A farmer spent $38 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Choices:
$38.50
$39.20
$39.50
$41.80
Answer: D
Question: A train 260 m long passed a pole in 40 sec. How long will it take to pass a platform 940 m long?
Choices:
184
178
167
156
Answer: A
Question: The ratio of the two natural numbers is 6 : 5. If a certain number is subtracted to both the numbers, the ratio becomes 5 : 4. If the larger number exceeds the smaller number by 5, find the number subtracted?
Choices:
5
15
22
6
Answer: A
Question: On a playground, there is a number of children, out of which 1/4 wear red t-shirts, 1/20 wear blue t-shirts, and the remaining 14 children wear white t-shirts. How many children wear blue t-shirts?
Choices:
20
1
3
5
Answer: B
Question: At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using five colors?
Choices:
35
105
135
10
Answer: D
Question: The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 20% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?
Choices:
1,333
1,817
2,460
2,829
Answer: B
Question: The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x - 6. What is the value of y in terms of x ?
Choices:
x/6 - 6
x/7 - 5
x/5 - 7
x/5 - 6
Answer: A
Question: 1: 3 = 1 2/3: x. The value of x is?
Choices:
3
4 1/6
5
6
Answer: C
Question: Two trains are traveling in the same direction at speeds of 50 kmph and 20 kmph respectively If the faster train passes the driver in the slower train in 20 seconds, What is the length of the faster train?
Choices:
ANSWER: 162 m
ANSWER: 136 m
ANSWER: 166 m
ANSWER: 366 m
Answer: C
Question: For a particular American football game, the probability of a team's quarterback throwing an intercepted pass on each throw is 1/10. What is the least number of times that the quarterback will throw the ball that will increase the probability of throwing an intercepted pass at least once to more than 50%.
Choices:
3
9
7
5
Answer: C
Question: An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 32 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?
Choices:
240%
380%
300%
290%
Answer: D
Question: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Choices:
65
89
12
14
Answer: C
Question: In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 14 feet between each tree. How many trees can be planted if the road is 151 feet long?
Choices:
9
10
11
12
Answer: C
Question: Month	Average Price
per Dozen
April $1.0
May $1.20
June $1.5
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
Choices:
1.29
1.32
1.42
1.5
Answer: A
Question: Walking at 5/6th of its usual speed a cab is 12mnts late. Find its usual time to cover the journey?
Choices:
45m
32m
50m
60m
Answer: D
Question: What is the area of a right angle triangle with base = 12 and height = 14 ?
Choices:
81
82
83
84
Answer: D
Question: Of the three-digit integers greater than 600, how many have distinct digits ?
Choices:
82
80
45
288
Answer: D
Question: a/(b/c)
In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 6. What is the largest possible value of the expression?
Choices:
6/3
30/2
18/2
6/18
Answer: C
Question: A certain quantity of 45% concentration solution is replaced with 15% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
Choices:
1:2
2:3
2:1
3:1
Answer: A
Question: How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Choices:
7
4
8
6
Answer: D
Question: The L.C.M of two numbers is 48. The numbers are in the ratio 8:3. The sum of numbers is:
Choices:
22
40
50
60
Answer: A
Question: Triangle STV has sides ST = TV = 25, and SV = 14. What is the area?
Choices:
168
176
190
206
Answer: A
Question: Christine selects an item at a 25% off ticket price sale. The item is ticket priced at $25. How much should Christine expect to pay at the register?
Choices:
20.0
18.75
12.5
10.0
Answer: B
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
240 sq m
260 sq m
480 sq m
580 sq m
Answer: C
Question: A person has to cover a distance of 10km in 1hour. If he covers one half of the distance in half of the total time; to cover the remaining distance in the remaining time, his speed must be?
Choices:
8km/hr
10km/hr
12km/hr
15km/hr
Answer: B
Question: If integer k is equal to the sum of all even multiples of 25 between 295 and 615, what is the greatest prime factor of k?
Choices:
7
11
13
17
Answer: A
Question: A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Choices:
4460
4560
4660
4760
Answer: A
Question: In the Land of Oz only one or two-letter words are used. The local language has 69 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
Choices:
66
67
131
138
Answer: D
Question: Two pipes A and B can fill a tank in 30 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
18 hours
10 hours
12 hours
8 hours
Answer: A
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Choices:
r / (r + b + w)
r * (r + b + w)
(r + b + w)/r
None
Answer: A
Question: The sum of two numbers is 56, and one of them is 12 more than the other. What are the two numbers?
Choices:
22-34
60-24
42-42
21-63
Answer: A
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $200 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $245 as interest. What was the value of his total savings before investing in these two bonds?
Choices:
3500
2500
3000
2000
Answer: D
Question: A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
Choices:
224 km
657 km
176 km
168 km
Answer: A
Question: Find the sum of first 20 natural numbers
Choices:
210
465
463
485
Answer: A
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-3, 1), (1, 1), (1, -2) and (-3, -2)?
Choices:
12
20
30
36
Answer: A
Question: If 6^k = 4, then 6^(2k+3) =
Choices:
3456
4581
3683
1308
Answer: A
Question: Magnabulk Corp sells boxes holding y magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Choices:
m/(by)
by/(100m)
100m/(by)
by/m
Answer: C
Question: If x and y are integers and 2x–y= 11, then 4x+ y CANNOT be
Choices:
1
13
17
55
Answer: C
Question: In how many ways can seven different rings be worn on four fingers of one hand?
Choices:
12
35
16
18
Answer: B
Question: The ages of two person differ by 12 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Choices:
25, 5
29, 9
50, 30
20, 8
Answer: D
Question: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 14 households had a both a car and a bike and 44 had a car, how many had bike only?
Choices:
35
20
18
10
Answer: A
Question: The volume of a box with a square base is 128 cubic cm. The area of the base of the box is 8 inches more than the height. What is the length of the base of the box?
Choices:
4 cm
16 cm
24 cm
None of the above
Answer: A
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Choices:
742 apples
750 apples
600 apples
700 apples
Answer: D
Question: In a certain random experiment, exactly one of the outcomes A, B, and T will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and T will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: A squirrel has 13 nuts, then he finds 8 more nuts. Now how many nuts he have?
Choices:
9
21
11
16
Answer: B
Question: If a, p, q, and r are positive integers and (p)×(q)×(r)=a^2, which of the following could be the values of p, q, and r?
Choices:
9, 25, 24
2, 25, 32
2, 9, 16
8, 16, 36
Answer: B
Question: Four angles of a quadrilateral are in G.P. Whose common ratio is an intiger. Two of the angles are acute while the other two are obtuse. The measure of the smallest angle of the quadrilateral is
Choices:
24
36
46
52
Answer: A
Question: Jack and Christina are standing 270 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 4 feet per second and Christina walks in a straight line toward Jack at a constant speed of 5 feet per second. Lindy runs at a constant speed of 8 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
Choices:
180
210
240
270
Answer: C
Question: In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fell ill for the next five daysreducing the daily avg for the month to 58 sets/day. The average production perday for day last 5days is ?
Choices:
39
48
50
53
Answer: B
Question: 14, 23, 32, 41, 50, 59, …
In the sequence above, each term is 9 more than the previous term. What is the 41st term Q of the sequence?
Choices:
365
369
374
383
Answer: C
Question: At exactly what time past 5:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Choices:
20 13/17 minutes past 7:00
21 9/11 minutes past 5:00
21 9/11 minutes past 7:00
22 4/9 minutes past 7:00
Answer: B
Question: find the number, If 50 is subtracted from two-third of number, the result is equal to sum of 40 and one-fourth of that number.
Choices:
216
114
116
118
Answer: A
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choices:
3/8
8/5
4/1
5/3
Answer: C
Question: To furnish a room in a model home an interior decorator is to select 3 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 100 different combinations are possible, how many tables are there in the warehouse?
Choices:
A)5
C)10
D)15
E)30
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
22000
24000
25000
30000
Answer: D
Question: Pipe A that can fill a tank in an hour and pipe B that can fill the tank in 15 are opened simultaneously when the tank is empty. Pipe B is shut 15 minutes before the tank overflows. When will the tank overflow?
Choices:
35 mins
30 mins
32 mins
36 mins
Answer: B
Question: Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 6/5 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 1 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.
Choices:
37/20
1/4
1
5/6
Answer: A
Question: What is the difference between the place value of 5 in the numeral 15295?
Choices:
495
4995
505
4115
Answer: B
Question: In a certain game, a player begins with a bag containing tiles numbered 1 through 9, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd?
Choices:
13/36
3/8
5/8
23/36
Answer: C
Question: The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed seven times, what is the probability that the coin turns up tails on at least one of the tosses?
Choices:
15/16
31/32
63/64
127/128
Answer: D
Question: 5 goats’s and 10 hens are brought for Rs.2500. If the average price of a hen be Rs.50. What is the average price of a goat.
Choices:
375
350
400
500
Answer: C
Question: The price of sugar is increased by 4%. By how much percent should a home maker reduce her consumption of sugar to have no extra expenditure?
Choices:
(400/104) %
(100/107)%
(7/100)%
(100/700)%
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 14%?
Choices:
26%
42%
29%
22%
Answer: C
Question: A reduction of 5% in the price of oil enables a house wife to obtain 10kgs more for Rs.5000, what is the reduced price for kg?
Choices:
27
25
35
15
Answer: B
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:6then find the smallest number?
Choices:
19/3
20/3
25/3
24/3
Answer: B
Question: Solve the equation:
|(2x + 1)2 - 4x2 - 2| - 3|4x – 1| = - 6
Choices:
-1/2
-3/4
3
None
Answer: A
Question: How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
Choices:
34
73
26
11
Answer: A
Question: A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Choices:
144
177
156
199
Answer: A
Question: The LCM of two numbers is 2310 and HCF is 61. If one of the numbers is 210. Then what is the other number ?
Choices:
671
330
582
465
Answer: A
Question: Three integers are at random chosen between 0 and 9 inclusive. What is the probability Q that each number is different ?
Choices:
A.18/25
C.81/100
D.9/10
E.1
Answer: A
Question: If n = 3^10 – 2^10 which of the following is NOT a factor of n?
Choices:
43
23
19
373
Answer: A
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 60 meters, what is the height of the building (in meters)?
Choices:
24
28
32
36
Answer: A
Question: If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:
Choices:
3:1
3:5
3:7
None of these
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 72 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
600
719
750
712
Answer: A
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 11km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
20 hours
22 hours
Answer: D
Question: A certain kind of fuel is 1515high octane and 4545regular octane. If high octane costs three times as much as regular octane, what fraction of the cost of the fuel is due to the high octane?
Choices:
2/3
3/7
3/5
4/5
Answer: B
Question: One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 8 robots altogether, if the robots build only one robot at a time?
Choices:
94 min
110 min
131 1/7 min
146 1/7 min
Answer: D
Question: Rice weighing 35/2 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces)
Choices:
50
60
70
80
Answer: C
Question: Oil cans x and y are right circular cylinders and the height and radius of y are each twice those of x. If the oil in can x filled to capacity sells for $3, how much does the oil in y sell for if y is only half filled?
Choices:
$12
$13
$14
$18
Answer: A
Question: What is the area of a square field whose diagonal of length 22 m?
Choices:
269
270
242
230
Answer: C
Question: If the average of t, b, c, 14 and 15 is 12. What is the average value of t, b, c and 29
Choices:
13
14
15
16
Answer: C
Question: Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 22
III. 24
Choices:
I, II, and III
II and III only
I and III only
I only
Answer: A
Question: A table is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage?
Choices:
25%
35%
43%
45%
Answer: A
Question: y = 100 - 398x
Which of the following values of x gives the greatest value of y in the equation above?
Choices:
-4
0.5
0
1
Answer: A
Question: Two pipes P and Q can fill a cistern in 12 and 10 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
1/2
2/4
1/4
1/4
Answer: A
Question: 25 percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
12.5%
28%
30%
45%
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'TOO' is
Choices:
5
11
2
3
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
7
4
2
Answer: A
Question: If "BEACH" is given a code of 19, then what is the difference between "SANDCASTLE" and "WAVES"?
Choices:
28
30
168
22
Answer: A
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 50 white marbles. How many red marbles could be in bag A?
Choices:
5
4
6
8
Answer: A
Question: How much time is required to cover the distance of 910 Km by a car driver, if he start with the initial speed of 40 Km/hr. and increases the speed by 5 Km/hr for every next hour ?
Choices:
12 hours
13 hours
14 hours
15 hours
Answer: B
Question: Sandy purchased 20 dozen toys at the rate of $360 per dozen. Sandy sold each toy at the rate of $31.50. What was the percentage profit?
Choices:
5%
7%
9%
11%
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 25 seconds. Find the length of the faster train?
Choices:
250
187
257
271
Answer: A
Question: A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Choices:
$215,000
$115,000
$240,000
$160,000
Answer: A
Question: Two trains of equal length 120 metres move in the same direction. The faster train completely
overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
taking would take in 10 seconds. At what speeds are the 2 trains moving (faster and slower respectively
in m/s)
Choices:
32, 16
30, 18
28, 14
None of these
Answer: A
Question: 35 percent of the women in a college class are science majors, and the non-science majors make up 70% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
25%
22.5%
30%
45%
Answer: B
Question: Ratio of Rani's and Kamal's age is 3:5. Ratio of Kamal's and Pooja's age is 2:3.If Rani's age is two-fifth of Pooja's age, what is Rani's age?
Choices:
15 years
24 years
Cannot be determined
None of these
Answer: C
Question: If the operation @ is defined for all a and b by the equation a@b =(a^b)/2,then (3@2)=?
Choices:
2
9/2
-9/2
-8/2
Answer: B
Question: The length of the bridge, which a train 180 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
157 m
195 m
156 m
167 m
Answer: B
Question: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
Rs.8820
Rs.8822
Rs.8289
Rs.8820
Answer: D
Question: The average age of a husband and a wife is 25 years when they were married nine years ago but now the average age of the husband, wife and child is 23 years(the child was born during the interval). What is the present age of the child?
Choices:
5 years
9 years
4 years
1 years
Answer: D
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 25, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold?
Choices:
a.	A - 10
c.	C – 22.5
d.	D – 30
e.	E – 67.5
Answer: A
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
766 sec
165 sec
186 sec
Answer: A
Question: Sum of 24 odd numbers is?
Choices:
573
574
575
576
Answer: D
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 680 sq.ft, how many feet of fencing will be required ?
Choices:
88 feet
84 feet
82 feet
None of these
Answer: A
Question: In a dance competition the points in each round for the first,second,third and fourth position were 1000,500,200,100 . No other points were given. Reney participated in several rounds in the competition and the product of her score was 100000. In How many rounds did she participate?
Choices:
2
5
Cannot be determined
20
Answer: C
Question: What is the area of square field whose side of length 8 m?
Choices:
64
772
882
21
Answer: A
Question: What distance will be covered by a bus moving at 54 kmph in 30 seconds?
Choices:
900
289
276
207
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
9
6
4
2
Answer: C
Question: x, y and z are consecutive positive integers such that x < y < z; which of the following must be true?
1. xyz is divisible by 8
2. (z-x)(y-x+1) = 4
3. xy is odd
Choices:
I and II
III only
I and II only
I, II, and III
Answer: A
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 19?
Choices:
21
13
47
55
Answer: B
Question: (3164 + 6160) / 28
Choices:
350
333
310
None of these
Answer: B
Question: There are 193 items that are members of set U. Of these items, 47 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Choices:
85
94
106
108
Answer: C
Question: A batsman in his 12th innings makes a score of 75 and thereby increases his average by 1 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
44
64
46
Answer: C
Question: One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
Choices:
West
South
North
2891
Answer: B
Question: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 105 liters of drink A to convert it to drink B?
Choices:
21
28
35
42
Answer: C
Question: Given positive even integer x, which of the following CAN NOT be evenly divisible by x?
Choices:
x + 1
2x + 4
3x − 2
7x
Answer: A
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
65
75
89
90
Answer: B
Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Choices:
6 days
8 days
10 days
12 days
Answer: A
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 150 years. Can you tell my son age in years?
Choices:
60 years
50 years
53 years
46 years
Answer: C
Question: A boy is travelling from his home to school at 5km/hr and reached 5min late. Next day he travelled at 10km/hr and reached 10min early. Distance between home and school?
Choices:
2.5km
4km
5.6km
6.5km
Answer: A
Question: If the average of 16x and 8y is greater than 80, and x is twice y, what is the least integer value of x ?
Choices:
8
10
11
12
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
77
44
88
12
Answer: B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
Rs. 500
Rs478
Rs369
Rs178
Answer: A
Question: Find the smallest number which should be multiplied with 520 to make it a perfect square
Choices:
297
266
116
130
Answer: D
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 15 books, how many shelves does the bookcase have?
Choices:
6
7
8
9
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Choices:
36.1
36.2
36.5
None
Answer: C
Question: A trade analyst announced 10% reduction in the unit price of bike. As a result, the sales volume went up by 10%. What was the net effect on the sales revenue?
Choices:
decreases by 1%
increases by 1%
increases by 10%
None of these
Answer: A
Question: Tough and Tricky questions: Combinations.
Two contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
6
12
16
24
Answer: A
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
Choices:
$80
$96
$112
$123
Answer: D
Question: The W train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the W 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 distance between stations A and C in terms of m?
Choices:
6m
7m
9m
12m
Answer: A
Question: Given the positive integer x, which of the following must be divisible by 3?
Choices:
(x−1)*x*(x+1)
x(x+2)^3
x^2*(x−5)
x^2*(x−5)
Answer: A
Question: Which of the following is a prime number ?
Choices:
8
4
2
1
Answer: C
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 10x boxes?
Choices:
14 minutes
15 minutes
16 minutes
20 minutes
Answer: D
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.5 kg. The weight of the new student is
Choices:
21.6 kg
22.4 kg
13 kg
None of these
Answer: C
Question: A pump can fill a tank with water in 3 hours. Because of a leak, it took 6 hours to fill the tank. The leak can drain all the water in ?
Choices:
1hr
3hr
4hr
6hr
Answer: D
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
6000
6400
7200
None
Answer: B
Question: Ayesha's father was 42 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
14 years
16 years
17 years
6 years
Answer: B
Question: If a trader sold two cars each at Rs. 325475 and gains 13% on the first and loses 13% on the second, then his profit or loss percent on the whole is?
Choices:
1.69%
1.84%
1.47%
1.24%
Answer: A
Question: The average weight of 48 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Choices:
52 5/8
52 1⁄8
43.42
None of these
Answer: A
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 8 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
Choices:
24
40
50
60
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
178 cm2
189 cm2
176 cm2
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
60
64 ways
68
90
Answer: B
Question: The average time of Izzy's past 3 100-meter sprints is 15 seconds. If the average falls 1 second after Izzy finishes another sprint, how many seconds did it take Izzy to run the most recent sprint?
Choices:
11
15
14
10
Answer: A
Question: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina
Choices:
9/56
28/120
21/56
25/56
Answer: B
Question: If a coin is tossed twice, what is the probability that on the first toss the coin lands heads and on the second toss the coin lands heads?
Choices:
1/8
3/8
3/4
1/4
Answer: D
Question: What would be the missing number in the series: 1, 20, 266, 675,?
Choices:
78
80
82
84
Answer: A
Question: If one of the followings is the product of the two 3-digit integers 8K7 and 6L7 (K and L denote the tens digit of the respective integers), then that product must be
Choices:
511,913
531,875
538,424
569,119
Answer: D
Question: What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/7
Choices:
2/15
1/6
1/7
None of these
Answer: A
Question: R = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set R and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: An article is bought for Rs.705 and sold for Rs.900, find the gain percent?
Choices:
27.65%
33 1/3%
33 5/3%
35 1/3%
Answer: A
Question: Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 65 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Choices:
4 : 9
20 : 13
5 : 7
6 : 11
Answer: B
Question: What is the 10th digit to the right of the decimal point in the decimal equivalent of 124/22?
Choices:
3
4
7
6
Answer: A
Question: Find a two digit number, given that the sum of the digits is 12 and the difference of the digits is 2.?
Choices:
87
75
88
90
Answer: B
Question: The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.7. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
Choices:
1/2
3/5
4/5
12/25
Answer: A
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Choices:
480
720
5040
1020
Answer: B
Question: In how many different ways can the letters of the word 'RETAIL' be arranged such that the vowels must occupy only the odd positions?
Choices:
64
120
360
36
Answer: D
Question: How many digits are required to number a book containing 220 pages?
Choices:
604
552
372
250
Answer: B
Question: The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
40
25
Data inadequate
None of these.
Answer: A
Question: Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.1 hour
4.7 hour
2.4 hour
3.2 hour
Answer: C
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 4b = 2c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
Choices:
297
421
412
842
Answer: C
Question: The average age of 3 girls is 18 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Choices:
9 years
12 years
14 years
15 years
Answer: A
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50 sec
18 sec
10 sec
14 sec
Answer: A
Question: Find large number from below question The difference of two numbers is 100. On dividing the larger number by the smaller, we get 9 as quotient and the 4 as remainder
Choices:
100
112
150
105
Answer: B
Question: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?
Choices:
7 hrs
9 hrs
2 hrs
6 hrs
Answer: C
Question: A sum of money placed at CI doubles itself in 5 years. It will amount to 8 times in?
Choices:
19 years
14 years
16 years
15 years
Answer: D
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
5:8
5:3
5:2
5:1
Answer: B
Question: In a garden, trees are planted in 4 rows. In each row there are 4 trees. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :
Choices:
n is an odd number
n is an even number
n is a perfect cube
none
Answer: C
Question: A baker sold twice as much bread in the afternoon than in the morning. If he sold 360 kilograms of bread that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
240kg
470kg
641kg
559kg
Answer: A
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Choices:
240 m
260 m
270 m
None of these
Answer: C
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
600
650
700
Answer: A
Question: If you are provided that
(78)^9 = 6
And (69)^4 = 11
What will be the result of (89)^2 = ?
Choices:
15
17
18
19
Answer: A
Question: Raghu went to a shop and bought things worth Rs. 22, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
16.7
22
21.4
21.5
Answer: A
Question: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
Choices:
27
41
19
25
Answer: D
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
8 km
6 km
4 km
9 km
Answer: B
Question: The difference between the place value and the face value of 8 in the numeral 856973 is
Choices:
6973
5994
6084
None of these
Answer: D
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 9 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:4
4:9
4:2
Answer: A
Question: A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:
Choices:
2.5 mph
3 mph
2 mph
None of these
Answer: C
Question: The present ages of three persons are in proportions 4:7:9. Seven years ago, the sum of their ages was 79. Find their present ages.
Choices:
28, 36
35, 45
35, 55
of these
Answer: B
Question: A bag of blue and green colored marbles has 25% green marbles, with a total of 40 marbles. how many green marbles need to be added to bring their percentage in the bag up to 40%?
Choices:
8
12
10
15
Answer: C
Question: John can complete a given task in 20 days. Jane will take only 10 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 5 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
Choices:
10
12
16
20
Answer: A
Question: By selling 90 pens, a trader gains the cost of 30 pens. Find his gain percentage?
Choices:
33.3%
31.3%
30.3%
29.3%
Answer: A