# number system Model Questions & Answers, Practice Test for ibps so prelims 2023

#### ibps so prelims 2023 SYLLABUS WISE SUBJECTS MCQs

Question :1

Which digits should come in place of * and # if the number 62684*# is divisible by both 8 and 5?

Since the given number is divisible by 5, so 0 or 5 must come in place of #.

But, a number ending with 5 is never divisible by 8.

So, 0 will replace #.

Now, the number formed by the last three digits is 4*0,

which becomes divisible by 8, if * is replaced by 4.

Hence, digits in place of * and # are 4 and 0 respectively.

Question :2

‘A’, ‘B’ and ‘C’ are three consecutive even integers such that four times ‘A’ is equal to three times ‘C’. What is the value of B ?

Let A = x,

B = x + 2,

C = x + 4

∴ According to the question

4x = 3(x + 4)

⇒ 4x – 3x = 12 ⇒ x = 12

∴ B = x + 2 = 12 + 2 = 14

Question :3

The product of two successive numbers is 8556. What is the smaller number?

Let the numbers be x and (x + 1),

∴ x(x + 1) = 8556

or, \$x^2 + x – 8556 = 0\$

or, \$x^2 + 93x – 92 x – 8556 = 0\$

or, \$(x^2 + 93) (x – 92) = 0\$

∴ x = 92

Question :4

What is the number of terms in the series 117, 120, 123, 126,.............., 333 ?

117, 120, 123, 126, ........., 333

Given series is an A.P series with

first term, a = 117,

last term l =333

and common difference, d = 3

last term, l = a + (n – 1)d

where, n = number of terms.

117 + (n – 1)3 = 333

(n – 1)3 = 216 ⇒ n = 73

Question :5

The number of prime numbers which are less than 100 is

Number of prime numbers less than 100 are 25

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