Question

A number when divided by 48 leaves a remainder of
31. Find the remainder if the same number is divided
by 24.
(A) 5
(B) 7
(C) 9
(D) 11​

Answer 1

Answer : (B) 7

Steps :

When divided by 48,31 is the remainder. So let the number be 48x + 31.

48x+31

(24×2x) + (24+7)

24(2x+1) + 7

This number when divided by 24 we get 2x+1 as quotient and 7 as remainder.

We can Also check by taking the number as 48+31= 79..Now dividing 79 by 24 we get remainder 7