Question:
$p$ : 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 $(V_1, V_2) \equiv$
$p$ : 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 $(V_1, V_2) \equiv$
$q$ : 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 $(V_1, V_2) \equiv$
Show Hint
Contrapositive $\equiv$ Original Statement. No need to rewrite the sentence.
Updated On: May 7, 2026
- (T, T)
- (T, F)
- (F, T)
- (F, F)
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The Correct Option is C
Solution and Explanation
Step 1: Truth Values
- $p$: $(T \to F) \equiv F$. - $q$: $(T \to T) \equiv T$.
Step 2: Contrapositive
A statement and its contrapositive always have the SAME truth value.
Step 3: Conclusion
$V_1 = F$ and $V_2 = T$.
Final Answer: (C)
- $p$: $(T \to F) \equiv F$. - $q$: $(T \to T) \equiv T$.
Step 2: Contrapositive
A statement and its contrapositive always have the SAME truth value.
Step 3: Conclusion
$V_1 = F$ and $V_2 = T$.
Final Answer: (C)
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