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 = \(\frac{1333}{31}\) = 43 

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