MHT CET 2026 Mathematics question

Not in JEE syllabus

Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is

(A)An integer is not greater than 4 but less than 5 and it is a multiple of 3.
(B)If an integer is not greater than 4 and less than 5 then it is not a multiple of 3.
(C)An integer is greater than 4 and less than 5 but it is not a multiple of 3.Correct
(D)An integer is not greater than 4 and not less than 5 but it is not a multiple of 3.

Answer: (C)

Solution

Let p: "an integer is greater than 4 and less than 5" and q: "it is a multiple of 3". The statement is , and . That is: "An integer is greater than 4 and less than 5 but

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Question ID VK-098509