P, Q, R, S and T are ranked 1 to 5 (not necessarily in that order). The rank of P is 4, the rank of Q is not 5, the rank of R is 1, the rank of S is not 2, the rank of T is not 3. Then which of the following is/are correct?
I. If the rank of S is 3, then that of T is 2.
II. If the rank of Q is 3, then that of T is 5.
Select the answer using the code given below.
A.I only
B.II only
C.Both I and II✓ Correct
D.Neither I nor II
Explanation
Given: P=4, R=1, Q≠5, S≠2, T≠3. Remaining ranks for Q, S, T are {2, 3, 5}. Statement I: If S=3, then Q and T get {2,5}. Since Q≠5, Q=2, so T=5. But statement I says T=2. So I is incorrect... Wait. Let me re-examine: If S=3, remaining for Q,T from {2,5}. Q≠5 so Q=2, T=5. Statement I claims T=2, which contradicts. Hmm. Let me recheck the constraints: P=4, R=1, S≠2, T≠3, Q≠5. If S=3 (allowed since S≠2 only), remaining ranks {2,5} for Q,T. Q≠5 → Q=2, T=5. Statement I says T=2, false. So I should be incorrect. But marked answer is (c). Re-reading: 'If rank of S is 3, then T is 2.' Since we derive T=5 not 2, I is incorrect. Statement II: If Q=3, remaining {2,5} for S,T. S≠2 → S=5, T=2. But T=2, not T=5 as II claims. So II also incorrect. Hence Neither I nor II — answer (d). Re-examining carefully: the answer should be (d) Neither I nor II.
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