Question

A number when divided by 121 leaves 37 as remainder what will be the remainder when the same number is divided by 11

Answer 1

Answer:

remainder = 4

Step-by-step explanation:

A number when divided by 121 leaves 37 as remainder what will be the remainder when the same number is divided by 11

Let say number = N

As number when divided by 121 Leaves 37 as remainder

=> N = 121k + 37

k is any integer

N = 121k + 37

can be written as

N = 11 * 11 k +  33  + 4

=> N = 11 * 11k  + 11*3  + 4

=> N = 11 ( 11k + 3) + 4

k is integer => 11k + 3 = m is also integer

=> N = 11 m + 4

so remainder = 4