MathDB

p,q

are nonnegative integers.Given two conditions: A:

p^3-q^3

is an even number. B:

p+q

is an even number. Then, which one of the followings are true?

(\text{A})

A is sufficient but unnecessary condition of B.

(\text{B})

A is necessary but insufficient condition of B.

(\text{C})

A is sufficient and necessary condition of B.

(\text{D})

A is insufficient and unnecessary condition of B.

Problem Statement