Question

Write a counterexample for each conditional statement.

If a number is divisible by 2, then it is divisible by 4

Short answer

If a number is divisible by 2 then not necessary that it is divisible by 4.

Step-by-step solution

Step 1. Given information.

The given conditional statement is ‘’ If a number is divisible by 2, then it is divisible by 4’’.

Step 2. Concept used.

If a number 6 is divisible by 2 but not divisible by the number 4.

So, it means, it is not always true that if a number is divisible by 2 then it is divisible by the number 4.

Step 3. To find the Counterexample of the given statement.

The Counterexample of the given Conditional Statement is “If a number is divisible by 2 then not necessary that it is divisible by 4.”