MHT CET 2022 Mathematics question

Not in JEE syllabus

If statement I : If a quadrilateral ABCD is a square then all of its sides are equal Statement II : All the sides of a quadrilateral ABCD are equal, then ABCD is a square then

(A)statement II is an inverse of statement I
(B)statement II is a negation of statement I
(C)statement II is a converse of statement ICorrect
(D)statement II is a contrapositive of statement I

Answer: (C)

Solution

Let : ABCD is a square and : all sides of ABCD are equal. Statement I is the implication . Statement II is "if all sides are equal then ABCD is a square", i.e. . Interchanging the antecedent and consequent of an implication gives its converse, so

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Question ID VK-095975