UPSC CAPF (AC) 2026 Paper I · Question 63

Question 63 of the UPSC CAPF (AC) 2026 Paper I (19 July 2026). Try it first, then open the answer and explanation.

1. CAPF 2026 · P-I · Q63 · General Mental Ability · Reasoning

   There are three rooms (I, II and III) with occupancy capacity of three each. P, Q, R, S and T are five friends. R and S occupied room I; T occupied room II. In how many different ways can P and Q occupy the rooms if there is no additional restriction?

   1. 8
   2. 7
   3. 6
   4. 5

   तीन कक्ष (I, II और III) हैं, जिनमें से प्रत्येक की रहने की क्षमता (occupancy capacity) तीन है। P, Q, R, S और T पाँच मित्र हैं। कक्ष I में R और S रहते हैं; कक्ष II में T रहता है। यदि कोई अतिरिक्त प्रतिबंध न हो, तो P और Q कितने भिन्न प्रकार से इन कक्षों में रह सकते हैं?

   1. 8
   2. 7
   3. 6
   4. 5
   Show answer

   Answer: (1) 8

   उत्तर: (1) 8

   Free places: room I has 1, room II has 2, room III has 3. P and Q can each pick any of the 3 rooms (3 × 3 = 9 ways), except the one case where both pick room I, which has only one place left: 9 - 1 = 8.

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