Question
Suppose the seed of any positive integer n is defined as follows: Seed (n)=n, if n<10=seed(s(n)), otherwise, Where s(n) indicated the sum of digits of n. For example, seed(7)=7, seed(248)=2+4+8=seed(14)=seed(1+4)=seed(5)=5, etc. How many positive integers n, such that n
Answer: Option E
:
E
Sol:
e. 55
From the definition of "seed"?, it is clear that we have to count number of integers between 1 and 500, which are divisible by 9. The smallest is 9 and the largest is 495. 9∼A__1=9 and 9∼A__55=495. Hence there are 55 such numbers.
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:
E
Sol:
e. 55
From the definition of "seed"?, it is clear that we have to count number of integers between 1 and 500, which are divisible by 9. The smallest is 9 and the largest is 495. 9∼A__1=9 and 9∼A__55=495. Hence there are 55 such numbers.
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