Quantitative Ability - CAT 2008 - Model Questions

How many positive integers n, such that n < 500, will have seed(n) = 9?

Suppose, the speed of any positive integer n is defined as follows:

seed(n) = n, if n < 10

           = seed(s(n)), otherwise,

where s(n) indicates the sum of digits of n. For example,

seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc, 

Subject : Quantitative Ability
  1. 39
  2. 72
  3. 81
  4. 108
  5. 55

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