Question

Question: 57 mod 6

A) 3

B) 0

C) 6

D) 9

Explain how.

Answer 1

Answer: A) 3

Explanation:

• We know that
  `p\ mod\ q` gives the remainder when p is divided by q.

For example : 1) When we divide 21 by 4 , then the remainder is 1.

Therefore we say that
`21\ mod\ 4 =1`

2) When we divide 10 by 7 , we get 3 as remainder.

Then , we say
`10\ mod\ 7=3`

The given problem :
`57\ mod\ 6`

When we divide 57 by 6 , we get 3 as remainder [as
`57=54+3=6(9)+3`]

Therfeore ,
`57\ mod\ 6=3`

Hence, A is the correct option.