MHT CET · Maths · Mathematical Reasoning
p : If 7 is an odd number then 7 is divisible by 2
q : If 7 is prime number then 7 is an odd number
If \(V_1\) and \(V_2\) are respective truth values of contrapositive of \(p\) and \(q\) then \(\left(V_1, V_2\right) \equiv\)
- A \((\mathrm{T}, \mathrm{T})\)
- B \((\mathrm{T}, \mathrm{F})\)
- C \((\mathrm{F}, \mathrm{T})\)
- D \((F, F)\)
Answer & Solution
Correct Answer
(C) \((\mathrm{F}, \mathrm{T})\)
Step-by-step Solution
Detailed explanation
\(p \equiv (\text{7 is odd}) \to (\text{7 is divisible by 2}) \equiv \mathrm{T} \to \mathrm{F} \equiv \mathrm{F}\) Contrapositive of \(p\) is \((\text{7 is not divisible by 2}) \to (\text{7 is not odd}) \equiv \mathrm{T} \to \mathrm{F} \equiv \mathrm{F}\)
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