MHT CET 2024 Mathematics question

Not in JEE syllabus

Negative of the statement 'Horses have wings if and only if crows have tails' is

(A)Horses have wings but crows do not have tails. Or crows have tails but horses do not have wingsCorrect
(B)Horses do not have wings if and only if crows do not have tails
(C)Horses do not have wings and crows have tails or horses have wings and crows have tails
(D)Horses do not have wings and crows do not have tails

Answer: (A)

Solution

Let = "Horses have wings" and = "crows have tails". The statement is . Its negation is , i.e. "horses have wings but crows do not have tails, or crows have tails but horses do not

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Question ID VK-094920