Question

A certain number when divided by 175 leaves 132 as remainder. when the same number is divided by 25, find the remainder. Please help me out with ts

Answer 1

Let the number be 'N'
N/175--- Remainder is '132'
Hence, N/175 = Quotient + Remainder = Quotient + 132
N = (175*Quotient) + 132....(i)
Now 'N' is to be divided by '25'
175 is a multiple of 25
Hence, N/25 = (175*Quotient)/25 + 132/25
So the remainder will be the value of remainder when 132 is divided by '25'
132 divided by '25' leaves a remainder '7'

Hence, When the number is divided by 25, the remainder is '7'
Hope it is clear.