SSC CHSL 2021 PYQ — Question 61

SSC CHSL - 13 April 2021 - Shift 2 • Quantitative Aptitude • Q61

If a number is divisible by 624, the remainder will be 53. If the same number is divisible by 16 then, the remainder will be:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 5.

Dividend = Divisor × Quotient + Remainder 

Let the number that divides 624 be = n 

⇒ 624/n, Remainder = 53

When it is divisible by 16, it can be written as;

⇒ (39 × 16 + 53)/n

⇒ (39 × 16 + 16 × 3 + 5)n

Hence remainder = 5