MHT CET · Maths · Mathematical Reasoning
If \(p: 25\) is an odd prime number.
\(q: 14\) is a composite number and
\(r: 64\) is a perfect square number.
Then which of the following statement pattern is true?
- A \(\sim(q \wedge r) \vee p\)
- B \((p \wedge q) \vee r\)
- C \((p \vee q) \wedge(\sim r)\)
- D \(\sim p \vee(q \wedge r)\)
Answer & Solution
Correct Answer
(D) \(\sim p \vee(q \wedge r)\)
Step-by-step Solution
Detailed explanation
Here, \(P \equiv \mathrm{F}, q \equiv \mathrm{T}, r \equiv \mathrm{T}\)
\(\Rightarrow \sim p \vee(q \wedge r)\) is true
\(\Rightarrow \sim p \vee(q \wedge r)\) is true
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