MHT CET202525 Apr 2025Evening ShiftMathematicsMathematical ReasoningActual
Consider the following three statements (A) If 3+2=7 then 4+3=8 . (B) If 5+2=7 then earth is flat. (C) If both (A) and (B) are true then 5+6=11 . Which of the following statements is correct?
Options
- A(A) and (C) are true while (B) is false.
- B(A) is true while (B) and (C) are false.
- C(A) is false but (B) and (C) are true.
- D(A) is false while (C) is true.
Correct answer
A. (A) and (C) are true while (B) is false.
Step-by-step solution
A conditional statement P Q is false only when P is true and Q is false. In all other cases, it is true. Statement A : If 3+2=7 then 4+3=8 . The antecedent 3+2=7 is false, and the consequent 4+3=8 is also false. Since the antecedent is false, the entire implication is true. Statement B : If 5+2=7 then Earth is flat. The antecedent 5+2=7 is true, but the consequent "Earth is flat" is false. With a true antecedent and false consequent, the implication is false. Statement C : If both A and B are true then 5+6=11 . The