Verified Solution • 2025–26 Session moderate

QJEEM16Ma54a3: JEE Main 2016 Mathematics - Class 11 JEEM16Ma54a3 Solution: Consider the following two statements : P :    …

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 :

Multiple Choice Options

  • A (T, T)
  • B (T, F)
  • C (F, T)
  • D (F, F)

Step-by-Step Verified Solution

Contrapositive of P : If 7 is not divisible by 2, then 7 is not an odd number.

This statement is false.

∴    V1 = False (F)

Contrapositive of Q : If 7 is not an odd number ,then 7 is not a prime number.

This statement is true.

∴   V2 = True (T)

∴   (V1, V2) = (F, T).

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