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Quantitative Aptitude (Bank PO/Clerical)

Description: Quantitative Aptitude numbers, ratio and proportion, percentage, profit and loss, time and work, distance time and speed, pipes and cistern, interest, etc.
Number of Questions: 15
Created by:
Tags: Bank clerk exam Ratio/Proportion and Variation Removal and Replacement Profit and Loss Time and Work Arithmetic Numerical Ability Time and Distance Simple Interest and Compound Interest Applications of Percentages (SI and CI)
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The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is

  1. 58

  2. 48

  3. 30

  4. 20

  5. None of these

Show answer
Correct Option: C
Explanation:

First of all, we shall have to find the ratio among all 3 numbers. Now, we have the ratio between the 1st and 2nd number = 2 : 3 and the ratio between the 2nd and 3rd = 5 : 8 Therefore, the ratio among 3 numbers = 10 : 15 : 24 Now, the sum of ratio = 10 + 15 + 24 = 49 Therefore, the second number = 98 * (15/49) = 30 So, it is the correct answer.

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

  1. 18 litres

  2. 24 litres

  3. 32 litres

  4. 42 litres

  5. 48 litres

Show answer
Correct Option: B
Explanation:

Let the quantity of the wine in the cask originally be x litres. Then, the quantity of wine left in the cask after 4 operations = [x(1-8/x)4]litres So, [x(1-8/x)4] /x = 16/81 on solving, x = 24 Therefore, 24 litres is the correct answer.

A 280 metre long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?

  1. 5 m/s

  2. 8 m/s

  3. 12 m/s

  4. Cannot be determined

  5. None of these

Show answer
Correct Option: B
Explanation:

Speed of train = 108 km/hr = (108*5/18) = 30 m/sec Let the length of the platform be x meters Then, x + 280 m = 360 m x = (360-280) m = 80 m Then, the speed of man = (80 m)/ (10 s) = 8 m/s

The ratio of the numbers of boys and girls in a college is 7 : 8. If the percentage increase in the numbers of boys and girls is 20% and 10%, respectively, what will be the new ratio?

  1. 17 : 18

  2. 8 : 9

  3. 10 : 11

  4. 21 : 22

  5. 22 : 21

Show answer
Correct Option: D
Explanation:

Let the number of boys at present = 7x and girls = 8x. After the percentage increment in number of boys and girls we will have:  Number of boys = 7x + 7x*(20/100) = 840x/100 and Number of girls = 8x + 8x*(10/100) = 880x/100 The ratio = (840x/100) : (880x/100) = 21 : 22. So, this is the correct answer.

The percentage profit earned by selling an article for Rs. 1920, is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

  1. Rs. 2000

  2. Rs. 2200

  3. Rs. 2400

  4. Data inadequate

  5. None of these

Show answer
Correct Option: A
Explanation:

Let C.P. be Rs. x. Then, 1920 - x = x - 1280 2x = 3200 x = 1600 So, required S.P. = 125% of Rs. 1600 = Rs. 125 x 16 = Rs. 2000.

A jar contains a mixture of 2 liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar initially?

  1. 17 litres

  2. 16 litres

  3. 18 litres

  4. 15 litres

  5. None of these

Show answer
Correct Option: B
Explanation:

Let initially, there be 4V litres of A and V litres of B in the solution. Now, when 10 litres of solution is taken out, we have (4V - (4/5) x 10) lkitres or 4V - 8 litres of A left in solution. In the 10 litres of solution taken out, 2 litres of B will go out. Thus, B left in solution = (V - 2) litres. After 10 litres of B is added, B in the solution = (V - 2 + 10) litres = (V + 8) litres. Now, (quantity of liquid A in solution) / (quantity of liquid B in solution) = (4 V - 8) / (V + 8) = 2 /3. On solving, we get V = 4. Thus, initial quantity of A in the solution = 4 V = 4 x 4 litres = 16 litres.

Two trains of equal lengths take 10 seconds and 15 seconds to pass a telegraph post. If the length of each train is 120 metres, then in what time (in seconds) will they pass each other travelling in opposite directions?

  1. 10 seconds

  2. 15 seconds

  3. 12 seconds

  4. 20 seconds

  5. 25 seconds

Show answer
Correct Option: C
Explanation:

Speed of the first train = 120/10 = 12 m/sec Speed of the second train =120/15 = 8 m/sec Relative speed = (12 + 8) = 20 m/sec Therefore, the required time = (120 + 120)/20 = 12 sec

There is a 60% increase in the amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

  1. Rs. 2160

  2. Rs. 3120

  3. Rs. 3972

  4. Rs. 6240

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the principal = Rs. x Then, the amount = 160x/100 Therefore, interest = 160x/100 - x = 60x/100 So, the rate of interest = (SI x 100)/(P x T) = (60x/100) * 100/(x * 6) = 10% Now, we will find the amount of compound interest, which is A = P(1 + R/100)n A = Rs. 12,000(1 + 10/100)3 A = Rs. 15,972 CI = A - P = Rs. (15,972 - 12,000) = Rs. 3972

The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 420. Find the simple interest at the same rate and for the same time.

  1. Rs. 400

  2. Rs. 500

  3. Rs. 450

  4. Rs. 550

  5. None of these

Show answer
Correct Option: A
Explanation:

Let P = Rs. x, T = 2 years, R = 10% p.a, and CI = Rs. 420.
Then, A = P(1 + R/100)n A = x(1 + 10/100)2 A = x(11/10)2 A = 121x/100 Because CI = A - P 420 = 121x/100 - x x = 2000 Now, SI = (P * R * T)/100 = (2000 * 10 * 2/100) = Rs. 400 Therefore, the required interest is Rs. 400.

In Arun's opinion, his weight is greater than 65 kg, but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg, but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, then what is the average of different probable weights of Arun?

  1. 67 kg

  2. 68 kg

  3. 69 kg

  4. 66.5 kg

  5. 65.5 kg

Show answer
Correct Option: A
Explanation:

Let Arun's weight be X kg. According to Arun, 65 < X < 72 According to Arun's brother, 60 < X < 70 According to Arun's mother, X <= 68 The values satisfying all the above conditions are 66, 67 and 68. Required average = ( 66 + 67 + 68)/3 = 201/3 = 67 kg

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they come around again at the starting point?

  1. 26 minutes and 18 seconds

  2. 42 minutes and 36 seconds

  3. 45 minutes

  4. 46 minutes and 12 seconds

  5. 46 minutes and 2 seconds

Show answer
Correct Option: D
Explanation:

LCM of 252, 308 and 198 = 2772 So, A, B and C will again meet at the starting point in 2772 sec, i.e. 46 minutes and 12 seconds.

Three times a number is equal to 1.2 times of twice another number increased by 105. If twice the first number increased by 36 is equal to 0.8 times of three times the second number, then what is the first number?

  1. 150

  2. 162

  3. 180

  4. 160

  5. None of these

Show answer
Correct Option: B
Explanation:

Let the two numbers be x and y. Then, 3x = 1.2( 2y +105) 3x = 2.4y + 126 ………………..(1) 2x + 36 = 0.8(3y) 2x + 36 = 2.4y ………………..(2) x = 162 Therefore, 162 is the first number.

The work done by A in one day is half of the work done by B in one day. The work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days will A, B and C together complete the work?

  1. 28 days

  2. 14 days

  3. 4 days

  4. 21 days

  5. 8 days

Show answer
Correct Option: C
Explanation:

Work done by C in one day = 1/7 Work done by B in one day = 1/2(C) = 1/7 x 1/2 = 1/14 Work done by A in one day = 1/2(B) = 1/2 x 1/14 = 1/28 Work done by A, B and C together in one day = (4 + 2 + 1)/28 = 1/4 Work is done by A, B and C together in 4 days.

Aman won a competition and he got some prize money. He gave Rs. 2000 less than the half of prize money, to his son and Rs. 1000 more than two-thirds of the remaining, to his daughter. If both of them got the same amount, what amount did Aman receive as prize money?

  1. Rs. 20000

  2. Rs. 25000

  3. Rs. 26000

  4. Rs. 24000

  5. Rs. 39000

Show answer
Correct Option: C
Explanation:

Assume Aman got x rupees. He gave x/2 - 2000 to his son. And 2/3 (x/2 + 2000) + 1000 to his daughter. According to the question, x/2 - 2000 = x/3 + 7000/3 x = 26000

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg, so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

  1. 36 kg

  2. 42 kg

  3. 54 kg

  4. 63 kg

  5. None of these

Show answer
Correct Option: D
Explanation:

Let the sugar mixed = x kg Then, CP of x kg at Rs 9 per kg = Rs. 9x CP of 27 kg of sugar at Rs 7 per kg = Rs.189 Total CP = Rs. (9x + 189) Total weight of mixture = (x + 27) kg. Then, the SP of (x + 27) kg =Rs. (x + 27)9.24 According to the question, SP = CP(100 + P%)/100 ( x + 27)9.24 = (9x + 189)(100 + 10)/100  After solving this equation, we get x = 63. Therefore, 63 kg is the correct answer.

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