Consider the statements given by following (A) If 4+3=8, then 5+3=9 (B) If 6+4=10, then moon is flat (C) If both (A) and (B) are true, then 5+6=17 Then which of the following statements is correct?

MHT CET 2025 Mathematics question

Not in JEE syllabus

Consider the statements given by following (A) If , then (B) If , then moon is flat (C) If both (A) and (B) are true, then Then which of the following statements is correct?

(A)(A) is true while (B) and (C) are false
(B)(A) and (B) are false, while (C) is true
(C)(A) and (C) are true, while (B) is falseCorrect
(D)(A) is false, but (B) and (C) are true

Answer: (C)

Solution

A conditional is false only when is true and is false. Statement (A): is false, so the conditional is true (a false antecedent makes it true). Statement (B): is true but "moon is flat" is false (T F), so (B) is false. Statement (C): the antecedent "both (A)

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Question ID VK-102413