Civil Services Examination · Question 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
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Answer: (B) 111
Explanation
RHS = 3^25 · 5^114 · 2^375. The power of 10 is min(114, 375) = 114 = m + 3, so m = 111.