If pandq are substatements "A natural number is odd " and "A natural number is not divisible by 2"respectively, then the biconditional statement p⇔q is
A
A natural number is odd, if and only if it is divisible by 2.
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B
A natural number is odd, if and only if it is not divisible by 2.
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C
If a natural number is odd, then it is not divisible by 2.
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D
If a natural number is odd, then it is divisible by 2.
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Solution
The correct option is B A natural number is odd, if and only if it is not divisible by 2. We know that , p⇔q is represented as p if and only if q
Given, p: A natural number is odd q:A natural number is not divisible by 2,
∴p⇔q: A natural number is odd, if and only if it is not divisible by 2