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The negative of the proposition : "If a number is divisible by 15, then it is divisible by 5 or 3".

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If a number is divisibley by 15, then it is not divisible by 5 and 3

A number is divisible by 15 and it is not divisible by 5 and 3

A numberis divisible by 15 and it is not divisible by 5 or 3

A number is not divisible by 15 or it is not divisible by 5 and 3

answer is B.

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Detailed Solution

$~ (p \to q) \equiv p \land (~ q)$

Let p: a number is divisible by 15

q:it is divisible by 5 or 3

$~ q = i t i s n o t d i v i s i b l e b y 5 a n d 3$

$~ (p \to q) \equiv p \land (~ q) i s A number is divisible by 15 and it is not divisible by 5 and 3$

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