MHT CET202522 Apr 2025Evening ShiftMathematicsMathematical ReasoningActual
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 V₁ and V₂ are respective truth values of contrapositive of p and q then (V₁, V₂ )
Options
- A( T , T )
- B( T , F )
- C( F , T )
- D(F, F)
Correct answer
C. ( F , T )
Step-by-step solution
The statement p asserts that "If 7 is an odd number, then 7 is divisible by 2," represented as A B , where A is true and B is false. The truth value T F evaluates to false. The contrapositive of A B is B A , which always shares the same truth value as the original statement. For p , where B is true and A is false, T F also gives false. Therefore, V₁ = F . The statement q is "If 7 is a prime number, then 7 is an odd number," or C D , with both C and D true. The value T T is true. Its contrapositive, D C , with both