The negation of the statement, 'if a quadrilateral is a square, then it is a rhombus' is

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

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

a quadrilateral is a square and it is not a rhombus

a quadrilateral is not a square and it is a rhombus

answer is C.

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Detailed Solution

Let p and q be the propositions as given belowp : A quadrilateral is a squareq: A quadrilateral is a rhombusThe given proposition is p→qnow, ~(p→q)≅p∧~qTherefore, the negation of the given proposition is 'A quadrilateral is a square and it is not a rhombus"

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