SSC GD 2023 PYQ — Question 60

SSC GD Constable (English) - 17 Jan 2023 - Shift 4 • Quantitative Aptitude • Q60

On dividing a number by 42, we get 120 as the quotient and 0 as the remainder. On dividing the same number by 41, what will be the remainder?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e.38.

As we know,

Dividend = Divisor × Quotient + Remainder

According to the question,

A number (N) is divided by 42

Quotient = 120 and Remainder = 0

⇒ N = 42 × 120 + 0 = 5040

Now, the same number (N = 5040) is dividing by 41 then 

⇒ 5040 = 41 × 122 + 38

Hence, the remainder will be 38