JEE Main 2016MathematicsMathematical ReasoningEasyMCQ

JEE Main 2016 — Mathematical Reasoning Question with Solution

JEE Main 2016 (09 Apr Online)

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

Choose an option

Show full solutionCorrect option: A
Correct answer
AF,T

Step-by-step explanation

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

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About this question

This is a previous-year question from JEE Main 2016, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.