Statement: "Each time Sachin is the captain India loses."

Meaning:

Sachin captain -> India did NOT win = P -> Q

Correct logical pair = PQ.

Among the options that match implication form (if P then Q) is:

P = Sachin is the captain

Q = India did not win

But options are given as PS, SR, SP, RP.

Among these, SP corresponds to:

S = Indian won

P = Sachin is captain -> which contradicts the statement, so not valid.

PS = P (Sachin captain), S (India won) -> Wrong

SR = Indian won, Sachin not captain -> Not matching

SP = Sachin captain -> India won -> Opposite

RP = Sachin not captain -> Sachin is captain -> Contradiction

Correct matching implication: P -> Q

But since Q is not in any option, the only logically consistent elimination leads to SR, which does not violate the main statement.

Question Practice

Discussion