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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.

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Solution

(i) A given number is a multiple of 6 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 a multiple of 6.

(v) If a given number is not a multiple of 3, then it is not a multiple of 6.


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