JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021 — Mathematical Reasoning Question with Solution

JEE Main 2021 (20 Jul Shift 2)

Question

Consider the following three statements:

A If 3+3=7 then 4+3=8

B If 5+3=8 then earth is flat.

C If both A and B are true then 5+6=17.

Then, which of the following statements is correct?

Choose an option

Show full solutionCorrect option: B
Correct answer
BA and C are true while B is false

Step-by-step explanation

Truth table for if-then statement is

p q p→q
T T T
T F F
F T T
F F T

A 3+3=7 (false), and 4+3=8 (false), therefore A is true.

B 5+3=8 (true) and earth is flat (false), hence B is false.

C Since, B is false and 5+6=17 (false), hence C is true.

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About this question

This is a previous-year question from JEE Main 2021, 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.