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?

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An implication 'if p then q' is false only when p is true and q is false. Evaluate each of (A), (B), (C) this way.
Updated On: Nov 4, 2026
  • (A) is false, but (B) and (C) re true
  • (A) and (C) are true while (B) is false
  • (A) is true while (B) and (C) are false
  • (A) and (B) are false while (C) is true
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The Correct Option is B

Solution and Explanation

A conditional statement 'if p then q' is false only when p is true and q is false.
(A): p: 3 + 3 = 7 is false, so the conditional is TRUE.
(B): p: 5 + 3 = 8 is true, q: 'earth is flat' is false, so the conditional is FALSE.
(C): p: '(A) and (B) are both true' is false because (B) is false, so the conditional is TRUE.
Hence (A) and (C) are true while (B) is false.
Answer: (2) (A) and (C) are true while (B) is false
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