MHT CET202523 Apr 2025Evening ShiftMathematicsMathematical ReasoningActual
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 statement is correct?
Options
- 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 false
- D(A) is false, but (B) and (C) are true
Correct answer
C. (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. For statement (A): 4+3=8 5+3=9 , both antecedent and consequent are false, making the implication true. For statement (B): 6+4=10 moon is flat , the true antecedent and false consequent yield a false implication. For statement (C): ( A is true and B is true ) 5+6=17 , the antecedent is false (since B is false) and the consequent is false, resulting in a true implication. Truth values: (A) True, (B) False, (C) True Option C correctly identifies