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# Rewrite the following statement in five different ways conveying the same meaning.

Question:

Rewrite the following statement in five different ways conveying the same meaning.

If a given number is a multiple of 6, then it is a multiple of 3.

Solution:

I. A given number is a multiple of 6; it implies that it is a multiple of 3.

II. A given number is a multiple of 6 only if it is a multiple of 3 .

III. For a given number to be a multiple of 6 , it is necessary that it is a multiple of $3 .$

IV. For a given number to be a multiple of 3 , it is sufficient that the number is multiple of $6 .$

V. If the given number in not a multiple of 3, then it is not a multiple of $6 .$