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How many positive integers less than 100...

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3?

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RESONANCE-COMBINATORICS-Exercise-2 (Part-I: Previous Asked Question for Pre RMO)
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  2. Determine the largest 2-digit prime factor of the integer ((200),(100)...

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  8. At a couple dance party, each man danced with exactly four women and e...

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  15. There are five cities A, B, C, D, E on a certain island. Each city is ...

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  17. Find the number of ordered triples (a,b,c) of positive integers such t...

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