# CAT Quant Practice Problems

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

$seed\left( n \right) = \left\{ {\begin{array}{*{20}{c}}{n,\;if\;n < 10}\\{seed\left( {s\left( n \right)} \right),\;otherwise}\end{array}} \right.$

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

 39 72 81 108 55

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CAT Quant Practice Problems