number system mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Question :1

What is the least number to be added to 1500 to make it a perfect square?

Answer: (a)

$38^2 = 1444$

$39^2 = 1521$

∴ Required number = 1521 – 1500 = 21

Question :2

An amount of Rs. 123098 is distributed equally amongst 61 persons. How much amount would each person get?

Answer: (c)

Amount received by each person

= $123098/61$ = Rs. 2018

Question :3

What is the sum of all prime numbers between 100 and 120?

Answer: (d)

The prime numbers between 100 and 120 are 101, 103, 107, 109 and 113.

∴ Required sum = 101 + 103 + 107 + 109 + 113 = 533

Question :4

The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 9. The sum of the digits of the number is 15. What is the product of the two digits of the two-digit number?

Answer: (a)

Let the two-digit number be

= 10 x + y, where x < y.

Number obtained after interchanging the digits

= 10 y + x

According to the question,

(10x + y) – (10y + x) = 9

or, 9x – 9y = 9

or, x – y = 1 ...(i)

and x + y = 15 ...(ii)

From equations (i) and (ii),

x = 8 and y = 7

∴ Required product = 8 × 7 = 56

Question :5

If m and n are distinct natural numbers, then which of the following is/are integer/integers?

  1. $m/n + n/m$
  2. $mn(m/n + n/m)(m^2 + n^2)$
  3. ${mn}/{m^2 + n^2}$
Select the correct answer using the code given below:

Answer: (a)

Let m = 1 and n = 2 be two natural number

(1) $m/n + n/m = 1/2 + 2/1 = 5/2$

which is not an integer

(2) $mn(m/n + n/m)(m^2 + n^2)$

= $1 × 2(1/2 + 2/1)(1 + 4) = 2 × 5/2 × 5 = 25$

which is an integer

(3) ${mn}/{m^2 + n^2} = {1 × 2 }/{1^2 + 2^2} = 2/5$

which is not an integer

∴ Option (b) is correct.

ibps rrb so officer sclae 2 3 single exam 2024 IMPORTANT QUESTION AND ANSWERS

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