# 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?

1. 39
2. 72
3. 81
4. 108
5. 55

Correct Option:5

For seed (n) = 9, all the numbers below 500 must have a digit sum of 9.

These numbers are all divisible by 9.

So total number of numbers below 500 and divisible by 9 is 55.

## CAT Quant Questions with Video Solutions

CAT Quant Practice Problems
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