Question

By what number should 1365 be divided to get 31 as quotient and 32 as remainder?

Answer 1

Given: Dividend = 1365, Quotient = 31, Remainder = 32

Let the divisor be x.

Dividend = Divisor × Quotient + Remainder

1365 = x × 31 + 32

⇒ 1365 – 32 = 31x

⇒ 1333 = 31x

⇒ x = `1333/31`

⇒ x = 43

Hence, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.