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The highest possible value of the ratio of a four-digit number and the sum of its four digits is

Question and options

The highest possible value of the ratio of a four-digit number and the sum of its four digits is
  1. 1000
  2. 277.75
  3. 900.1
  4. 999

Answer and explanation

Correct answer: A - 1000
Ratio N/(digit sum) is at most 1000: 1000/1 = 1000 (also 2000/2, ..., 9000/9). Any number with a nonzero digit beyond the leading one adds to the digit sum faster than to N in relative terms (e.g., 1009/10 = 100.9). Max = 1000.

Practice for these exams

  • IPMAT Indore

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