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UPSC PYQPrelims 2025

Civil Services Examination · प्रश्न 58

The 5-digit number PQRST (all distinct digits) is such that T ≠ 0. P is thrice T. S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible?

  1. 3
  2. 4
  3. 5
  4. 6
उत्तर देखें और व्याख्या

उत्तर: (B) 4

व्याख्या

(P, T) ∈ {(3,1), (6,2), (9,3)} and (R, Q, S) ∈ {(0,3,7), (1,4,8), (2,5,9)}. Keeping all digits distinct leaves 4 numbers: 63072, 64182, 94183, 35291. (Answer as per the official UPSC answer key.)