antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Choices:
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13
Rs. 17, Rs. 15
Answer: A
Question: Last year a worker saved 5% of her annual salary. This year, she made 20% more money than last year and she saved 6% of her salary. The amount she saved this year was what percent of the amount she saved last year?
Choices:
140%
144%
148%
152%
Answer: B
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760
2766
8987
2681
Answer: A
Question: An empty wooden vessel weighs 20% 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
9/19
2/5
Answer: C
Question: How many ways can a selection be done of 5 letters out of 5 A's, 4B's, 3C's, 2D's and 1 E.
Choices:
75
71
121
221
Answer: B
Question: There are 100 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
Choices:
41
47
48
53
Answer: A
Question: ((-1.9)(0.6) – (2.6)(1.2))/7.0 = ?
Choices:
-0.61
1.07
1.71
2.71
Answer: A
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –5), K = (–2, 1), L = (6, 7), and M = (6, –5). What is its perimeter?
Choices:
35
38
40
(F) 42
Answer: A
Question: According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 28, by how much does the temperature in degrees Celsius (C) increase?
Choices:
15.55
47
48 3/5
59
Answer: A
Question: Look at this series: 90, 87, 92, 89, 94, 91, ... What number should come next?
Choices:
96
90
98
92
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
Rs. 16.51
Rs. 16.59
Rs. 16.50
Rs. 16.52
Answer: C
Question: The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.00 $ each, 4 sodas at 1.50 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?
Choices:
1.40$
1.60$
1.64$
1.70$
Answer: A
Question: A shop sells bicycles and tricycles. In total there are 9 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Choices:
b=8,t=1
b=6,t=2
b=2,t=5
b=3,t=4
Answer: A
Question: In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a four or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
5/9
2/3
3/4
Answer: B
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
720
760
790
800
Answer: A
Question: A man buys a field of agricultural land for Rs. 3,60,000. He sells one-third at a loss of 20% and two-fifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall profit of 10%?
Choices:
Rs. 1,15,000
Rs. 1,20,000
Rs. 1,25,000
None of these
Answer: B
Question: Two pens and three pencils cost $86. four Pens and a pencil cost $112. find the cost of a pen and that of a pencil.
Choices:
25, 12
30, 45
50, 48
15, 25
Answer: A
Question: Which interchange of signs will make the following equation correct ?
35 + 7 × 5 ÷ 5 – 6 = 24
Choices:
24
22
26
28
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
44, 38
45, 40
44, 48
Answer: A
Question: At what price must an Book costing $47.50 be marked in order that after deducting 15% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
69.85
62.85
82.85
60.85
Answer: A
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:
Choices:
1360
1600
1800
None
Answer: A
Question: Louie takes out a three-month loan of $2000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Choices:
B)383
C)402
D)433
E)804
Answer: D
Question: If r=1 and (r-b)/c = 1 which of the following is NOT a possible value of b?
Choices:
-1
0
1
2
Answer: C
Question: A bag consists of 1 rupee, 50 paise and 25p coins and their total value in rupees is Rs 1120 .These three types of coins are in the ratio 3:20:4. How may 25 paisa coins are there?
Choices:
330 coins
320 coins
32 coins
10 coins
Answer: B
Question: Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 8 members and the design team has 6 members, how manyintegratedteam formations are possible?
Choices:
54
176
220
360
Answer: D
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
100%
250%
300%
Answer: A
Question: Tn = 2Tn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If T5 = Q4 and T7 = 316, what is the first value of n for which Qn is an integer?
Choices:
2
3
4
5
Answer: B
Question: A train 55 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:
5 sec
4 sec
6 sec
3 sec
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/62
20/29
20/61
Answer: A
Question: In how many ways the letters of the word RAM be arranged?
Choices:
12
10
6
120
Answer: C
Question: Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $388 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Choices:
$120 million
$144 million
$240 million
$888 million
Answer: D
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
Choices:
35 sec
44 sec
40 sec
50 sec
Answer: C
Question: In a student's election between two candidates, 75% of the voters cast thierthier votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Choices:
16800
1680
1700
17500
Answer: A
Question: A certain manufacturer of cake, muffin, and bread mixes has 80 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Choices:
b. 3/8
c. 1/2
d. 7/10
e. 9/10
Answer: A
Question: A man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Choices:
6 minutes
8 minutes
9 minutes
48/7 minutes
Answer: D
Question: The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
Choices:
44
66
sixty (60)
12
Answer: C
Question: A lockbox has a 4 digit number passcode. How many different passwords are possible if repetition of numbers is allowed?
Choices:
10000
1000
100
10
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. Find the average speed for first 320 km of tour.
Choices:
71.11 km/hr
72.11 km/hr
73.11 km/hr
None of these
Answer: A
Question: A man saves Rs 300 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Choices:
Rs 333.01
Rs 663.02
Rs 993.03
None of these
Answer: C
Question: The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime integers. How many factors does N have?
Choices:
12
14
16
18
Answer: A
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 400 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
1.58%
10%
15%
19%
Answer: A
Question: 2 cow’s and 8 goats are brought for Rs.1400. If the average price of a goat be Rs.60. What is the average price of a cow.
Choices:
Rs.960
Rs.960
Rs. 460
Rs. 560
Answer: C
Question: A courtyard is 30 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
24000
20000
27999
17799
Answer: A
Question: Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30
seconds, then find the length of the bridge.
Choices:
235 meters
240 meters
245 meters
None of these
Answer: C
Question: 7.515/10.02 =
Choices:
0.3505
0.3509
0.351
0.75
Answer: D
Question: If p/7 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Choices:
8 : 12 : 9
21 : 6 : 8
6 : 4 : 3
12 : 8 : 3
Answer: B
Question: A man sells a horse for Rs.200 and loses something, if he had sold it for Rs.620, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
140
160
150
71
Answer: A
Question: (4300331)-?=2535618
Choices:
1775123
1764713
1675123
None of them
Answer: B
Question: (2+0.0001)/(0.04+20)
The value of the expression above is closet to which of the following?
Choices:
0.001
0.1
1
10
Answer: B
Question: The cost price of 16 articles is the same as the selling price of 12 articles. Find the loss/profit percentages.
Choices:
32.50%
33 1/3%
40%
50%
Answer: B
Question: A borrowed some money at the rate of 5% p.a. for the first four years, 8% p.a.for the next 8 years and 10% p.a.for the period beyond 12 years If the total interest paid by him at the end of 14 years is 41600, how much money did he borrow?
Choices:
40,000
62,000
45,000
None of these
Answer: A
Question: A batsman makes a score of 85 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
50
62
45
35
Answer: D
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 1/2 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Choices:
5/7
8/11
7/12
11/15
Answer: B
Question: There are 10 red balls, 10 blue balls, 15 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Choices:
23
43
41
16
Answer: C
Question: If 25% of x is 30 less than 15% of 1500, then x is?
Choices:
738
837
780
83
Answer: C
Question: If Jesse flips a coin five times in a row, what is the probability that the result will be heads at least 3 times?
Choices:
29/128
35/128
1/16
1/2
Answer: D
Question: How many 3 digits number are there which sum of digits is equal to 16.
Choices:
64
65
66
67
Answer: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
22%
24%
21
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 47 seconds and 38 seconds respectively and they cross each other in 40 seconds. The ratio of their speeds is:
Choices:
3 : 2
2 : 7
3 : 25
3 : 4
Answer: B
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 14 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
105%
120%
112%
138%
Answer: C
Question: What is the largest integer n such that
n2- 38/n + 1
is an integer?
Choices:
36
72
76
None of these
Answer: A
Question: If 135*s is a perfect square then s can be which of the following numbers?
Choices:
15
54
105
150
Answer: A
Question: Solution X is 30% chemical A and 70% chemical B by volume. Solution Y is 40% chemical A and 60% chemical B by volume. If a mixture of X and Y is 36% chemical A, what percent of the mixture is Solution X?
Choices:
35%
40%
45%
50%
Answer: B
Question: Grace has 18 jellybeans in her pocket. She has 10 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Choices:
8
12
13
15
Answer: D
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability Q that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Choices:
15/64
1/2
1/4
52/64
Answer: A
Question: Of the 15 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Choices:
10
30
40
45
Answer: A
Question: In how many ways can five boys, three girls and a teacher sit in a row such that all boys sit together?
Choices:
B)12100
C)14400
D)1097
E)2781
Answer: B
Question: A motorcyclist goes from Nagpur to Delhi, a distance of 600 kms at an average of 60 kmph speed. Another man starts from Nagpur by car 5 Â½ hours after the first, and reaches Delhi Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:7
1:9
1:5
2:5
Answer: D
Question: A boatman can row 3 km against the stream in 20 minutes and return in 9 minutes. Find the rate of current ?
Choices:
8/2 kmph
5.5 kmph
1/2 kmph
2/2 kmph
Answer: B
Question: Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
Choices:
3.4
3.6
3.8
4
Answer: B
Question: A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Choices:
61/4%
20%
25%
30%
Answer: B
Question: What is the least integer that is a sum of four different primes each greater than 20?
Choices:
83
120
133
169
Answer: B
Question: Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?
Choices:
10
13
16
18
Answer: A
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Choices:
9%loss
3%loss
2%loss
1%loss
Answer: A
Question: If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Choices:
Rs.(yd/x)
Rs.(y/d)
Rs.(xd)
Rs.(x/d)
Answer: A
Question: 1370 , 1320 , 1070 , -180 ?
Choices:
-6680
-6480
-5480
-4480
Answer: B
Question: Golu started from his house towards North. After covering a distance of 8 km. he turned towards left and covered a distance of 6 km. What is the shortest distance now from his house?
Choices:
10 km.
14 km
2 km.
4 km.
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
50 sec
48 sec
43 sec
32 sec
Answer: B
Question: If the speed of a man is 45 km per hour, then what is the distance traveled by him in 30 seconds ?
Choices:
360m
375 m
420 m
440 m
Answer: B
Question: A car travelling 5/7th of its actual speed covers 42 km in 1 hr 40 min 48 sec. what is the actual speed of the car?
Choices:
35
27
10
18
Answer: A
Question: In how many different ways can pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents) be combined for a total of $1.05 (105 cents), if at least one coin of at least three types of coins must be included?
Choices:
103
118
131
221
Answer: D
Question: What is the sum of all digits for the number 10^28 - 44?
Choices:
245
257
270
285
Answer: A
Question: 8 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:2
2:1
2:3
None of these
Answer: A
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 14 mat-weavers in 14 days?
Choices:
19
39
61
49
Answer: D
Question: If y ≠ 3 and 2a/y is a prime integer greater than 2, which of the following must be true?
I. xa= y
II. y = 1
III. a and y are prime integers.
Choices:
None
II only
III only
I and II
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 3. Their L.C.M. is
Choices:
22
56
27
36
Answer: D
Question: A girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction, takes 12 seconds to pass him. If the goods train is 1120 m long, find its speed.
Choices:
296
297
298
299
Answer: A
Question: There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)
Choices:
71.9%
72.9%
73.9%
74.9%
Answer: A
Question: There are 20 states in a certain country and every pair of them is connected by a road way. How many road ways are there?
Choices:
22
288
266
2A1
Answer: A
Question: At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
Choices:
24min
74min
54min
44min
Answer: A
Question: If (x + 1)(x + 3) = x^2 + x, what is a possible value of x?
Choices:
3
-1/3
-3
-1
Answer: D
Question: In how many ways can 4 black and 4 white chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Choices:
24
576
48
16
Answer: B
Question: The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is z, then
Choices:
2x = y + z
x = 2y + z
x = y + 2z
None of these
Answer: A
Question: The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 406 lbs, how much does substance x weigh?
Choices:
76
84
92
110
Answer: B
Question: Adam and Beth each drove from Smallville to Crown City by different routes. Adam drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's average speed on this trip?
Choices:
30
48
54
75
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'garden' is?
Choices:
721
719
700
721
Answer: B
Question: In an election, candidate Smith won 52% of the total vote in Counties A and E. He won 61% of the vote in County A. If the ratio of people who voted in County A to County E is 3:1, what percent of the vote did candidate Smith win in County E ?
Choices:
A.25%
C.34%
D.43%
E.49%
Answer: A
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
35
46
49
67
Answer: B
Question: A goods train runs at a speed of 72 kmph and crosses a 240 m long platform in 26 seconds.What is the length of the goods train?
Choices:
240 m
260 m
270 m
280 m
Answer: D
Question: A train traveled 580 miles in 2 hours 20 minutes. What was the averge speed of train in miles per hour?
Choices:
280 miles / hour
290 miles / hour
300 miles / hour
310 miles / hour
Answer: B
Question: When each of the opposite sides of a square is increasedby 8cm then ratio of sides of the rectangle thus formed is 5:3. What is the area of the original square?
Choices:
132
154
144
175
Answer: C
Question: The smallest value of n, for which 2n is not a prime number, is
Choices:
2,3,4
2,5,6
4,8,9
12,14,16
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Choices:
0
1
2
none of these
Answer: A
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks are made of cotton?
Choices:
100
60
50
25
Answer: A
Question: How many years will it take John’s investment to double at a simple interest rate of 4% per annum.
Choices:
30
15
25
19
Answer: C
Question: A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance E between the two cities?
Choices:
72
96
120
192
Answer: D
Question: A 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
250
230
288
271
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many odd three-digit numbers are palindromes?
Choices:
400
50
5,000
100,000
Answer: B
Question: Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
Choices:
3:10
3:12
3:11
3:22
Answer: A
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
Choices:
5/12
5/17
3/12
8/9
Answer: A
Question: 16* 16 * 16 * 16 * 16 = 4^ ?
Choices:
6
10
4
3
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 52, the dividend is:
Choices:
6814
6816
6812
6810
Answer: C
Question: There are 20 poles with a constant distance between each pole. A car takes 25 second to reach the 12th pole. How much will it take to reach the last pole.
Choices:
43.1818
43.45128
43.41288
43.41222
Answer: A
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 65, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Choices:
2K+35
(70+K)/2
(65+K)/2
2(70-K)
Answer: C
Question: 2 no's are respectively 40% & 60% more than 3rdnumber. Find the ration of two numbers ?
Choices:
4 : 5
7 : 8
8 : 9
8 : 11
Answer: B
Question: An alloy of copper and aluminum has 40% copper. An alloy of Copper and Zinc has Copper and Zinc in the ratio 2:7. These two alloys are mixed in such a way that in the overall alloy, there is more aluminum than Zinc, and copper constitutes x% of this alloy. What is the range of values x can take?
Choices:
30% ≤ x ≤ 40%
32.5% ≤ x ≤ 42%
33.33% ≤ x ≤ 40%
33.33 % ≤ x ≤ 42%
Answer: A
Question: For four days of work, a clerk had daily earnings of $180, $170, $180, and $180 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Choices:
Between $10 and $50
Between $50 and $75
Between $50 and $100
Between $0 and $10
Answer: D
Question: In a single throw of a die, what is the probability of getting a number greater than 2?
Choices:
2/5
1/3
2/7
2/3
Answer: D
Question: 10 men can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 men and 10 children take to complete the work?
Choices:
7
3
5
nONE
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
27/2 hours
30 hours
30/13 hours
20/13 hours
Answer: C
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choices:
70000
72000
78000
None of these
Answer: B
Question: How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
Choices:
6 ways
9 ways
11 ways
13 ways
Answer: A
Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Choices:
29887
27768
55053
17191
Answer: C
Question: A family made a down payment of $25
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 28
monthly payments of $16 each and a
final payment of $19. The amount of
interest paid was what percent of the
amount borrowed?
Choices:
12.25%
14.23%
16.66%
24.53%
Answer: D
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
3/115
1/216
4/221
5/229
Answer: B
Question: On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
Choices:
28
12
11
18
Answer: C
Question: There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 24 plants. How many birches and roses were planted?
Choices:
4
5
6
7
Answer: C
Question: Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 min. If the ratio of length to bredth of the park is 3 : 2, what are the dimansions?
Choices:
100 m x 102 m
100 m x 120 m
100 m x 100 m
100 m x 200 m
Answer: C
Question: How much interest will $10,000 earn in 3 months at an annual rate of 6%?
Choices:
$150
$450
$550
$650
Answer: A
Question: The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?
Choices:
64
61
72
65
Answer: D
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is …%.
Choices:
5.3 %
4.3%
8.3%
8.0%
Answer: A
Question: The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :
Choices:
3888
3988
9000
2882
Answer: C
Question: The respective ratio between the angles of a quadrilateral is 1 : 2 : 3 : 4. What is the sum of the twice the smallest angle and half the largest angle together?
Choices:
77
62
22
71
Answer: A
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $234 million, which represented 6 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
2,100
3,900
1,701
2107
Answer: B
Question: A certain car averages 30 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
Choices:
30
33
36
38
Answer: D
Question: List I: 4, 8, 12, 16 List II: x,4, 8, 12, 16
Choices:
4
3
10
2
Answer: C
Question: When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
Choices:
66 2/3%
25%
50%
None of these
Answer: C
Question: John bought 9.25m of cloth for $416.25. Find the cost price per metre.
Choices:
47
45
56
54
Answer: B
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 3% of bananas were rotten. Find the percentage of fruits in good condition?
Choices:
89.8%
85.2%
96.8%
78.9%
Answer: A
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
Choices:
85
45
Cannot be determined
None
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
4.5
5.5
5
Answer: A
Question: Evan ran a mile in 10 minutes Monday morning, and he ran the same mile in 8 minutes on Tuesday morning. On average, how many minutes did he take to run the mile over both days?
Choices:
9
2
80
10
Answer: A
Question: A double decked bus can accomodate 90 passengers,40 in the upper deck and 50 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
Choices:
2. 65!/30!35!
3. 110!/50!60!
4. 110!50!60!/40!45!
5. 110!/40!45!
Answer: A
Question: What is the sum of the multiples of 4 between 53 and 145 inclusive?
Choices:
2200
2300
2450
2500
Answer: B
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $6.0. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices:
$1,350
$1,725
$2,050
$1,800
Answer: D
Question: Let g(x) be a function such that g(x + 1) + g(x - 1) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?
Choices:
7
6
87
21
Answer: A
Question: Ravi's 4days average income is 1025.68. But in a form he should write his average income as the greatest positive even integer less than or equal to his 4days average income. what is the difference between his real average and form filling average?
Choices:
4.3
1.68
1.5
3.2
Answer: B
Question: 60% of a number is added to 120, the result is the same number. Find the number?
Choices:
300
400
500
600
Answer: A
Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{10, 18}
{7, 13}
{9, 11}
{16, 16}
Answer: C
Question: What is the greatest of 3 consecutive integers whose sum is 27?
Choices:
7
8
9
10
Answer: D
Question: How many odd factors does 460 have?
Choices:
4
5
6
8
Answer: A
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
Choices:
22 ½ days
24 days
26 days
23 days
Answer: A
Question: The remainder obtained when a prime number greater than 5 is divided by 5 is
Choices:
a) 1 or 2
c) 3 or 5
d) 4 or 5
e) 5
Answer: A
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^4 > y III. x+y>z^4
Choices:
II only
III only
I,II only
I,III only
Answer: A
Question: A sum is sufficient to pay either George age for 15 days or marks wage to 10dayshow long together?
Choices:
5
6
7
8
Answer: B
Question: At what rate percent of simple interest will a sum of money double itself in 77 years?
Choices:
2.54 %
8 .2 %
4.94 %
1.29 %
Answer: D
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Choices:
78 years
27 years
11 years
87 years
Answer: A
Question: The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 100 to 200, inclusive?
Choices:
150
200
225
300
Answer: A
Question: Several people are sitting around a round table playing a card game with a deck of 40 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
Choices:
5
7
11
13
Answer: D
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 12 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days?
Choices:
5
6
9
12
Answer: B
Question: If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 5x and 20y?
Choices:
5(x-y)
20x
20y
35x
Answer: B
Question: If two distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 32?
Choices:
3/7
5/14
11/28
16/35
Answer: B
Question: The average of 50 numbers is 38. If two numbers 45 and 55 are discarded, the average of the remaining set of numbers is
Choices:
37.5
37.0
36.5
None of these
Answer: A
Question: A man bought 40 shares of Rs. 60 at 5 discount, the rate of dividend being 1212%The rate of interest obtained is
Choices:
13.64%
14%
14.25%
14.95%
Answer: A
Question: If 42.30 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
Choices:
7
8
9
10
Answer: B
Question: There are 3 teams each with 5 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Choices:
23
75
28
45
Answer: B
Question: If Jenee earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
Choices:
1/5
1/10
3/50
1/20
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
10
36
72
62
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277 m
245 m
217 m
219 m
Answer: B
Question: Simplify: 5358 x 51
Choices:
254692
253582
263258
273258
Answer: D
Question: A Guava costs Rs 8 each and a apple costs Rs. 21 each. If I spend Rs 101 on total what is the number of guava I purchased?
Choices:
4
3
6
10
Answer: D
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length
Choices:
44
55
77
22
Answer: B
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
7767
2522
1677
2671
Answer: B
Question: The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
25 kmph
12 kmph
97 kmph
15 kmph
Answer: A
Question: How many integers from 101 to 1000, inclusive, remains the value unchanged when the digits were reversed?
Choices:
60
70
80
90
Answer: D
Question: A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
26%
45%
52%
56%
Answer: A
Question: A driver goes on a trip of 70 kilometers, the first 35 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Choices:
32
35
36
40
Answer: A
Question: How many 4 digit numbers can be formed using 0,1,2,3,4,5 and divisible by 4
Choices:
200
210
220
230
Answer: B
Question: For what value of x between − 7 and 7, inclusive, is the value of x^2 − 10x + 16 the greatest?
Choices:
− 7
0
2
7
Answer: A
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 73 on the exam is in what percentile of the school?
Choices
Choices:
68th percentile
84th percentile
96th percentile
98th percentile
Answer: B
Question: Find the missing number in the sequence
8 ? 125 343 1331
Choices:
9
4
6
7
Answer: A
Question: If c is 30% of a and 25% of b, what percent of a is b?
Choices:
15%
120%
35%
250%
Answer: B
Question: If the speed of a man is 57 km per hour, then what is the distance traveled by him in 30 seconds ?
Choices:
360m
475 m
420 m
440 m
Answer: B
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7 m x 6 m x 22.5 cm?
Choices:
6410
5600
6500
6800
Answer: B
Question: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to x - y - w ?
Choices:
-2
-1
0
-3
Answer: D
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
Choices:
52:53
51:53
52:55
50:51
Answer: A
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.14190 ?
Choices:
4000
3250
4128
3985
Answer: C
Question: An outlet pipe can empty 2/3 of a cistern in 12 minutes. In 4 minutes, what part of the cistern will be emptied?
Choices:
2/5
2/7
2/9
3/10
Answer: C
Question: Find large number from below 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
Choices:
1324
1245
1300
1635
Answer: D
Question: A certain company consists of 4 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
Choices:
108
160
270
990
Answer: B
Question: 6) A marketing firm determined that , of 240 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Choices:
b) 20
c) 25
d) 40
e) 45
Answer: B
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is :
Choices:
62 km
55 km
50 km
None
Answer: C
Question: A child must place 7 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choices:
6^4
4^7
4^4
6^4-4^6
Answer: B
Question: At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its prots for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its prot in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter was one of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?
Choices:
100a/(n-a)
100(n-a)/n
100n/(n-a)
"100(n-a)" divided by "a"
Answer: D
Question: After 4 games, team B had an average of 61.5 points per game. If it got only 47 points in game 5, how many more points does it need to score to get its total above 500?
Choices:
74
67
53
207
Answer: D
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence?
Choices:
568
574
586
590
Answer: A
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.2, 2.4, 3.6, 4.8, ... What number should come next?
Choices:
3.6
4.9
6.0
4.4
Answer: C
Question: At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 20 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 20 pieces of fruit is 56 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 52 cents?
Choices:
7
8
9
10
Answer: D
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
3.35
3.76
3.31
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:
19
13
14
18
Answer: B
Question: Jack and Jill work at a hospital with 5 other workers. For an internal review, 2 of the 7 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Choices:
1/4
1/21
3/8
2/3
Answer: B
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 4 : 40 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
Choices:
70
60
40
50
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.1064. Find the actual cost of an article?
Choices:
6789
1200
6151
1400
Answer: D
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
Choices:
2 : 5
5 : 2
7 : 2
None
Answer: A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
12
20
25
Answer: A
Question: What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 42 ?
Choices:
3
5
6
2
Answer: B
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
128 m
231 m
175 m
142 m
Answer: C
Question: When y is divided by 288, the remainder is 44. What is the remainder when the same y is divided by 24?
Choices:
20
23
25
26
Answer: A
Question: Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 30. No two digits of h are identical. How many different numbers are possible values of h?
Choices:
24
36
42
54
Answer: A
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 10:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
Choices:
5:00
5:30
6:00
6:30
Answer: C
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Choices:
15:8
13:9
14:2
13:0
Answer: A
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 700 more than that by the previous schema, his sales were worth?
Choices:
s. 8,000
s. 20,000
s.10,000
s. 50,000
Answer: A
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 50°C, what is the temperature of the pot of water in °F?
Choices:
108°F
116°F
122°F
127°F
Answer: C
Question: When x + p is divided by p + 1, the quotient is n and there is no remainder. Which of the following must be the value of x?
Choices:
n(p − 1)
p(n + 1)
p(n - 1) + n
n(p + 1) (p − 1)
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
Choices:
150
160
170
180
Answer: D
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 35.1 kg of zinc has been consumed in it?
Choices:
78 kg
64 kg
70 kg
None
Answer: A
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate
when the clock shows 2 o'clock in the afternoon?
Choices:
180 degrees
200 degrees
280 degrees
None
Answer: A
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choices:
120
110
130
140
Answer: B
Question: There are 300 giraffes at a large zoo. The number of giraffes is 3 times the number of all the other animals combined. How many more giraffes are there than non giraffes animals at the zoo?
Choices:
360
300
290
200
Answer: C
Question: Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.80 a kg to produce a mixture worth Rs.6.30 a kg?
Choices:
5 : 9
3 : 4
4 : 5
None of these
Answer: A
Question: A customers identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
Choices:
216
1075
1080
2160
Answer: B
Question: A bowl of fruit contains 12 apples and 23 oranges. How many oranges must be removed so that 60% of the pieces of fruit in the bowl will be apples?
Choices:
6
15
17
20
Answer: B
Question: The sum of a number and its reciprocal is one-fifth of 26. What is the sum of that number and its square.
Choices:
4
5
6
7
Answer: B
Question: X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Choices:
4 days.
9 days.
8 days.
10 days.
Answer: D
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 20 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Choices:
80
60
Data inadequate
None of these
Answer: A
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $10. If the price per share of stock K was $15 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Choices:
50%
11.1%
12.5%
23.6%
Answer: A
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
65%
285%
245%
25%
Answer: D
Question: A train covers a distance of 20 km in 10 minutes. If its speed is decreased by 10 km/hr, the time taken by it to cover the same distance will be?
Choices:
11min 30sec
15min 20sec
12min 10sec
9min 30sec
Answer: A
Question: At an international conference, “Yellow” world countries and “Blue” world countries are the only participants. The ratio of “Yellow” world participants to “Blue” world participants is 3:2. If one-third of “Yellow” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
Choices:
7/15
5/8
9/2
4/6
Answer: A
Question: A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
Choices:
120
388
377
272
Answer: A
Question: I. l-14, l, l, l, l+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Choices:
I, II, III
II, III, I
III, I, II
III, II, I
Answer: A
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?
Choices:
9920
26667
1662
2882
Answer: A
Question: Ajay can walk 7km in 1 hour. In how many hours he can walk 80km?
Choices:
11.4hrs
15.5hrs
20.4hrs
30hrs
Answer: A