UPSC PYQPrelims 2026

Civil Services Examination · प्रश्न 19

If 10^m × 1000 × n = 75^25 × 25^32 × 32^75, where n is not divisible by 10, then the value of m is

  1. 101
  2. 111
  3. 121
  4. 131
उत्तर देखें और व्याख्या

उत्तर: (B) 111

व्याख्या

RHS = 3^25 · 5^114 · 2^375. The power of 10 is min(114, 375) = 114 = m + 3, so m = 111.