MHT CET202615 April 2026Evening ShiftMathematicsMathematical ReasoningActual
Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is
Options
- AAn integer is not greater than 4 but less than 5 and it is a multiple of 3.
- BIf an integer is not greater than 4 and less than 5 then it is not a multiple of 3.
- CAn integer is greater than 4 and less than 5 but it is not a multiple of 3.
- DAn integer is not greater than 4 and not less than 5 but it is not a multiple of 3.
Correct answer
C. An integer is greater than 4 and less than 5 but it is not a multiple of 3.
Step-by-step solution
Let p be the statement "An integer is greater than 4 and less than 5". Let q be the statement "it is a multiple of 3". The given statement is of the form p q . The negation of an implication p q is given by (p q) p q . Therefore, the negation of the given statement is "An integer is greater than 4 and less than 5 but it is not a multiple of 3". Answer: An integer is greater than 4 and less than 5 but it is not a multiple of 3.