How many legs are there in the palace?

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There is one big palace where 5 soldiers stay. Each soldier has 5 rooms. In each room there are 5 big tigers. Each big tiger has 5 little tigers. Each tiger has 4 legs. How many legs are there in the palace?

posted Apr 8, 2014

Number of soldiers = 5 , their legs = 10
Number of big tigers = 5*5*5, their legs = 125*4 = 500
Number of small tigers = 125*5, their legs = 625*4 = 2500
Thus total legs = 3010

answer May 8, 2014
each soldiers has 5 rooms, no where it is mentioned that they have different rooms ( so it could be possible that there are only 5 rooms- which all 5 soldiers share)- total 5 rooms

each big tiger has 5 small tigers ( but nowhere it is mentioned that they have different small tigers, it could be in a room only 5 small tigers are there and still those 5 big tigers have 5 small tigers as 5 small tigers are shared)- in a room total 10 tigers(big+small)

so 10(tigers*5 rooms=50 tigers *4 legs+5 soldiers*2 legs=210 legs

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