A website Maths Puzzle Logical Reasoning

There are ten bags. and 1000 coins. These 1000 coins should be arranged in into these (10) bags in any denomination, in such a way that when you are asked to give a certain no: of coins, u should be able to give by picking few bags and tell , here it is, say for eg: if asked 433 u should be able to give 433 by picking 5 or 6 bags, like that if asked 1 coin also u should be able to give in similar manner. How it can be arranged?

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You are given a flag which has 5 horizontal bands and 4 colors in which you have to paint the bands. The constraint is that no adjacent band should have the same color. You have to find in how many ways can you paint the flag

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None of these