JEE Main 2016 — Mathematical Reasoning Question with Solution
From: JEE Main 2016 (Online) 9th April Morning Slot
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 contrapositive of Q, then the ordered pair (V1 , V2) equals :
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 :
Choose an option
Show full solutionCorrect option: C
Correct answer
C(F, T)
Step-by-step explanation
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).
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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