Each time Sachin is the captain India loses.
(P) Sachin is the captain
(Q) India did not win
(R) Sachin is not the captain
(S) Indian Won
Solution
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.