Q49 / 90 · JEE Main 2016 (09 Apr Online) · Mathematics

Consider the following two statements:

P : If 7 is an odd number, then 7 is divisible by 2.

Q : If 7 is a prime number, then 7 is an odd number.

If V1 is the truth value of the contrapositive of P and V2 is the truth value of contrapositive of Q, then the ordered pair V1,V2 equals

  • Correct answer
    A
    F,T
  • B
    F,F
  • C
    T,F
  • D
    T,T

Solution

Contrapositive of P:

7 is not divisible by 2⇒7 is not odd number

T ⇒F:FV1

Contrapositive of Q:

7 is not odd number ⇒7 is not a prime number  

F⇒ F:T V2

Thus, V1,V2≡F,T

Hence, the correct answer is option: 'A'.

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