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JEE Main2016MathematicsMathematical ReasoningActual

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 V 1 is the truth value of the contrapositive of P and V 2 is the truth value of contrapositive of Q , then the ordered pair V 1 , V 2 equals

Options

  1. AF , T
  2. BF , F
  3. CT , F
  4. DT , T

Correct answer

A. F , T

Step-by-step solution

Contrapositive of P : 7 is not divisible by 2 ⇒ 7 is not odd number T   ⇒ F : F V 1 Contrapositive of Q : 7 is not odd number ⇒ 7 is not a prime number F ⇒   F : T   V 2 Thus, V 1 , V 2 ≡ F , T

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