The inverse of the statement "If a number is divisible by 4 then it is also divisible by 2" is-

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

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

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

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None of the above

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Solution

The correct option is D If a number is not divisible by 4, then it is not divisible by 2.
a number is not divisible by 4 is the negation of the hypothesis a number is divisible by 4 ,and it is not divisible by 2 is the negation of the conclusion it is also divisible by 2

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18 is divisible by both 2 and 3. It is also divisible by 2 × 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 × 6 = 24? If not, give an example to justify our answer:

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The inverse of the statement "If a number is divisible by 4 then it is also divisible by 2" is-

The correct option is D If a number is not divisible by 4, then it is not divisible by 2.a number is not divisible by 4 is the negation of the hypothesis a number is divisible by 4 ,and it is not divisible by 2 is the negation of the conclusion it is also divisible by 2

The correct option is D If a number is not divisible by 4, then it is not divisible by 2.
a number is not divisible by 4 is the negation of the hypothesis a number is divisible by 4 ,and it is not divisible by 2 is the negation of the conclusion it is also divisible by 2