Question

By what number should be 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 = 31 x
⇒ 1333 = 31 x
⇒ x = `1333/31` = 43
Hence, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.