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JEE Main202120 Jul 2021Evening ShiftMathematicsMathematical ReasoningActual

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?

Options

  1. AA is false, but B and C are true
  2. BA and C are true while B is false
  3. CA is true while B and C are false
  4. DA and B are false while C is true

Correct answer

B. A and C are true while B is false

Step-by-step 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.

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