Q34 / 90 · JEE Main 2021 (20 Jul Shift 2) · Mathematics

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?

  • A
    A is false, but B and C are true
  • Correct answer
    B
    A and C are true while B is false
  • C
    A is true while B and C are false
  • D
    A and B are false while C is true

Solution

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.

Hence, the correct answer is option: 'B'.

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