Question

A certain number when divided by 175 leaves 132 as remainder. when the same number is divided by 25, find the remainder.

Answer 1

let the number Be X and the quotient be y
x=175×y+132
=(25×7×y)+(25×5)+7
=25×[7y+5]+7
required digit =7
remainder=7

Answer 2

Answer:

The remainder is 7.

Step-by-step explanation:

Given  

Remainder=132,

Divided =175,

We need to find, when the same number Divided/25=Remainder?  

Step 1:  

Let’s assume the number be ‘D’  

As number when divided by 175 Leaves 132 as remainder

=>D=175k+132

K is any integer.

Step 2:

Expand 175 and 132 and can be written as.

D=25 x 7k+25 x 5+7

=25(7k+5)+7

k is integer => 17k + 3 = m is also integer

=> N = 25 m + 7

So, the remainder = 7