Question

Question: 57 mod 6 A) 3 B) 0 C) 6 D) 9 Explain how.

Answer 1

Answer: A) 3

Step-by-step 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.