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Quantitative Aptitude (Bank)

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Rahim bought 65 books for Rs. 1150 from one shop and 50 books for Rs. 920 from another. What is the average price he paid per book?

  1. Rs. 20

  2. Rs. 16

  3. Rs. 18

  4. Rs. 22

  5. Rs. 25


Correct Option: C
Explanation:

Average price = 1150 + 920/65 + 50 = Rs. 18

The sum of four consecutive even numbers is 292. What would be the smallest number out of the four?

  1. 74

  2. 76

  3. 70

  4. 68

  5. 72


Correct Option: C
Explanation:

Let the consecutive numbers be x, x + 2, x + 4 and x + 6. Given that: x + x + 2 + x + 4 + x + 6 = 292 So, 4x +12 = 292                  x = 70

Hence, the smallest number is 70.

The simple interest on a certain sum at 30% p.a. rate of interest for two years is Rs. 10200. Find the principal amount.

  1. Rs. 18000

  2. Rs. 17000

  3. Rs. 18500

  4. Rs. 17500

  5. Rs. 16500


Correct Option: B
Explanation:

Principal = SI * 100/R * T = 10200 * 100/30 * 2 = 17000

P, Q and R have Rs. 6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R.

  1. Rs. 3000

  2. Rs. 3600

  3. Rs. 2400

  4. Rs. 4000

  5. Rs. 3500


Correct Option: C
Explanation:

In the question, it is given that R has two-thirds of the total amount with P and Q and the total amount is Rs 6000. So, 2/3(P + Q) = R Given: P + Q + R = 6000 R = 2/3(6000 - R) 3R = 12000 - 2R 5R = 12000 R = 2400

The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?

  1. Rs. 5725

  2. Rs. 5275

  3. Rs. 6275

  4. Rs. 6725

  5. Rs. 5700


Correct Option: D
Explanation:

CP = SP * (100/100 + profit%) = 8339 * (100/124) = Rs. 6725

There are two positive numbers in the ratio 5 : 8. If the greater number exceeds the smaller by 15, then find the smaller number.

  1. 25

  2. 30

  3. 20

  4. 35

  5. 40


Correct Option: A
Explanation:

Let the two positive numbers be 5x and 8x, respectively. 8x - 5x = 15 3x = 15 x = 5 So, the smaller number = 5 * 5 = 25.

What is the least number to be subtracted from 696 to make it a perfect square?

  1. 1

  2. 16

  3. 20

  4. 71

  5. None of these


Correct Option: C
Explanation:

The numbers less than 696 and squares of a certain number are 676 and 625. Hence, the least number that should be subtracted from 696 to make it a perfect square = 696 - 676 = 20.

The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?

  1. 68

  2. 67

  3. 78

  4. 63

  5. 59


Correct Option: A
Explanation:

Let the successive numbers be n and n + 1. Given: n * (n + 1) = 4556 n2 + n = 4556 n2 + n - 4556 = 0 On solving this, we will get 67 and 68. So, the larger number is 68.

In how many years does a sum of 5000 yield a simple interest of Rs. 16500 at 15% p.a.?

  1. 22

  2. 24

  3. 25

  4. 23

  5. 21


Correct Option: A
Explanation:

Time = SI * 100/P * R = 16500 * 100/5000 * 15 = 22 years

A shopkeeper loses 15% if an article is sold for Rs. 102. What should be the selling price of the article in order to gain 20%?

  1. Rs. 150

  2. Rs. 144

  3. Rs. 138

  4. Rs. 132

  5. Rs. 135


Correct Option: B
Explanation:

Given: Selling Price = Rs. 102 and loss = 15% Cost Price = 100(SP)/100 - loss%) = 100 * 102/85 = 20 * 6 = Rs. 120 To get 20% profit, new S.P. = (100 + profit%)CP/100 = 120 * 120/100 = Rs. 144

Two numbers have a H.C.F of 16 and the product of the numbers is 2560. Find the LCM of the two numbers.

  1. 140

  2. 150

  3. 160

  4. 170

  5. 180


Correct Option: C
Explanation:

LCM * HCF = Product of the two numbers LCM of the two numbers is given by: Product of the two numbers/HCF = 2560/16 = 160

In a three digit number, the hundreds digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number.

  1. 975

  2. 753

  3. 642

  4. None of these

  5. 684


Correct Option: D
Explanation:

Let the three digit numbers be 100a + 10b + c.  a = b + 2 c = b - 2 a + b + c = 3b =18 b = 6, so a = 8 and c = 4. Hence, the three digit number is 864. In this question, the hundreds digit is 2 less than the tens digit and the tens digit is 4 more than the ones digit which does not match the requirement of the question. So, it cannot be the answer.

Find the least number with which 16200 should be multiplied to make it a perfect cube.

  1. 36

  2. 48

  3. 45

  4. 360

  5. None of these


Correct Option: C
Explanation:

16200 = 2 ^ 3 * 3 ^ 4 * 5 ^ 2 A perfect square has a property of having the indices of all its prime factors divisible by 3. The required number = 3 ^ 2 * 5 = 45. If we multiply 45 with 16200, we get 72900, which is the cube of 90.

What would be the least number to be added to the number 51234 to make it divisible by 9?

  1. 6

  2. 4

  3. 3

  4. 5

  5. None of these


Correct Option: C
Explanation:

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits. Sum of the digits = 15. Nearest multiple of 9 greater than the sum of the digits = 18. Hence, 3 has to be added. If we add 3 to 51234, we get 51237, which is fully divisible by 9.

Mudit's age 18 years hence will be thrice his age 4 years ago. Find Mudit's present age.

  1. 12 years

  2. 21 years

  3. 18 years

  4. 9 years

  5. None of these


Correct Option: E
Explanation:

Let Mudit's present age be m years. Given: m + 18 = 3(m - 4) So, 2m = 30 m = 15 So, Mudit's present age is 15 years.

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