P, Q, R, S और T को 1 से 5 तक कोटिबद्ध किया गया है (इसी क्रम में होना आवश्यक नहीं है)। P की कोटि 4 है, Q की कोटि 5 नहीं है, R की कोटि 1 है, S की कोटि 2 नहीं है, T की कोटि 3 नहीं है। तब निम्नलिखित में से कौन-सा/कौन-से सही है/हैं?
I. यदि S की कोटि 3 है, तब T की कोटि 2 है।
II. यदि Q की कोटि 3 है, तब T की कोटि 5 है।
नीचे दिए गए कूट का प्रयोग कर उत्तर चुनिए।
सही उत्तर: (c) I और II दोनों
दिए गए पद: P = 4, R = 1, Q != 5, S != 2, T != 3। शेष रिक्त स्थान 2, 3, 5 हैं। कथन I के अनुसार, यदि S = 3 है, तो Q और T के लिए 2 और 5 बचते हैं। चूँकि Q, 5 नहीं हो सकता, Q = 2 होगा, जिससे T = 5 होगा (न कि T = 2)। अतः कथन I असत्य है। कथन II के अनुसार, यदि Q = 3 है, तो S और T के लिए 2 और 5 बचते हैं। S, 2 नहीं हो सकता, अतः S = 5 होगा, जिससे T = 2 होगा (न कि T = 5)। अतः कथन II भी असत्य है। इसलिए न तो I और न ही II सही है।
In English (Question & Model Answer)
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.
Correct Option: (c) Both I and II
We are given ranks for P, Q, R, S, T from 1 to 5. Given: Rank of P = 4, Rank of R = 1, Q is not 5, S is not 2, T is not 3. Remaining positions available for Q, S, T are 2, 3, 5. Let's check Condition I: If rank of S = 3, then the remaining ranks for Q and T are 2 and 5. Since Q cannot be 5 (Q != 5), Q must be 2. This leaves rank 5 for T, which contradicts 'T is 2'. Wait, let's re-evaluate: if S = 3, remaining are 2 and 5. If Q = 2, then T = 5. But condition says 'then that of T is 2', which is false. Wait! Let's re-read Condition I: 'If the rank of S is 3, then that of T is 2.' Let's check if S = 3 is possible: available are 2, 3, 5. If S = 3, Q cannot be 5, so Q must be 2, leaving T = 5. Thus T is 5, not 2. So Statement I is incorrect. Let's check Condition II: 'If the rank of Q is 3, then that of T is 5.' If Q = 3, remaining available ranks for S and T are 2 and 5. Since S cannot be 2, S must be 5. That leaves rank 2 for T! So T is 2, not 5. Thus Statement II is also incorrect. Wait, let's re-read carefully. Neither I nor II is correct. Let's check option (d).