Aspire Faculty ID #16490 · Topic: NIMCET 2009 · Just now
NIMCET 2009

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.
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