who_loves_maths
I wanna be a nebula too!!
- Joined
- Jun 8, 2004
- Messages
- 600
- Gender
- Male
- HSC
- 2005
okay, these three questions were inspired by haboozin in his latest thread in which he posed a similar, but easier, question:
1) Given a positive integer of 'n' digits (base 10), with n >= 0 and the first digit never 0, what is the maximum number of such integers, in general, that can exist such that it is the product of the sum of its digits and an arbitrary integer that is NOT of the form (9k + 1), where 'k' is integral ?
2) [continues from Q1] How many digits must the number contain (ie. for what values of 'n') such that a maximum number of integers, satisfying the condition specified in Q1, is indeed attainable?
3) Find the 'arbitrary' integer(s) NOT of the form (9k + 1) in Q1.
plz post if anyones done these...
1) Given a positive integer of 'n' digits (base 10), with n >= 0 and the first digit never 0, what is the maximum number of such integers, in general, that can exist such that it is the product of the sum of its digits and an arbitrary integer that is NOT of the form (9k + 1), where 'k' is integral ?
2) [continues from Q1] How many digits must the number contain (ie. for what values of 'n') such that a maximum number of integers, satisfying the condition specified in Q1, is indeed attainable?
3) Find the 'arbitrary' integer(s) NOT of the form (9k + 1) in Q1.
plz post if anyones done these...
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