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Q.

The negation of the proposition "if a quadri-lateral is a square, then it is a rhombus" is

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a

a quadrilateral is a square and it is not a rhombus

b

a quadrilateral is not a square and it is a rhombus

c

if a quadrilateral is a square, then it is not a rhombus

d

if a quadrilateral is not a square, then it is a rhombus

answer is C.

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Detailed Solution

p:a quadri-lateral is a square

q: it is a rhombus

~(pq)p~q

The negation of the proposition is

A quadri-lateral is a square and  it is not a rhombus

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