p : If 7 is an odd number then 7 is divisible by 2 q : If 7 is prime number then 7 is an odd number If V_1 and V_2 are respective truth values of contrapositive of p and q then (V_1, V_2)

MHT CET 2025 Mathematics question

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p : If 7 is an odd number then 7 is divisible by 2 q : If 7 is prime number then 7 is an odd number If V and V are respective truth values of contrapositive of p and q then (V, V)

(A)(T, T)
(B)(T, F)
(C)(F, T)Correct
(D)(F, F)

Answer: (C)

Solution

A statement and its contrapositive always have the same truth value, so evaluate p and q themselves. For p: antecedent "7 is odd" is true, consequent "7 is divisible by 2" is false, so is false: (the contrapositive "If 7 is not divisible by 2 then 7 is not odd" has a true antecedent and a

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Question ID VK-102112