devarshi-dt-logo

Question:

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 the contrapositive of Q, then the ordered pair (V1, V2) equals:

(T,F)

(F,T)

(F,F)

(T,T)

Solution:

The truth value of statement P is F as a True statement cannot imply a false statement. The truth value of statement Q is T as True statement implying True statement is T. The truth value of a conditional and its contra-positive are logically equivalent. Hence V1 is F and V2 is T