Negation MCQ Quiz - Objective Question with Answer for Negation - Download Free PDF
Last updated on Mar 19, 2025
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Negation Question 1:
The negation of the statement: "If I become a teacher, then I will open a school" is
Answer (Detailed Solution Below)
Negation Question 1 Detailed Solution
Let \(\ p:\) I become a teacher
\(\ q:\) I will open a school
The given statement is \(\ p \rightarrow q = \left( \sim p \right) \vee q \)
Its negation is \(\ \left( \sim \left( p \right) \vee q \right) = p \wedge \left( \sim q \right) \)
Thus, the negation of the given statement is 'I will become a teacher and I will not open a school'.
Negation Question 2:
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times" is:
Answer (Detailed Solution Below)
Negation Question 2 Detailed Solution
Contrapositive of \(p \rightarrow q\) is given by \(\sim q \rightarrow \sim p\).
So, \(3\) is the right option.