Troubling Legs

Number Theory Level 3

There is one forest, where 5 soldiers stay. Each soldier has 5 acres to guard. In each acre there are 5 big tigers. Each big tiger has 5 little tigers. Each tiger has 4 legs. How many legs are there in total in the forest??

Note: There is no other living being in the forest. The legs present there are only of Tigers and soldiers


The answer is 3010.

Harshvardhan Mehta by Harshvardhan Mehta , 23, India

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1 solution

There are five soldiers. 5 ∗ 2 = 10 5*2 = 10 .

Each soldier guards five acres, and each acre has five big tigers. 5 ∗ 5 ∗ 5 ∗ 4 = 500 5*5*5*4 = 500 .

Each of the big tigers has 5 little tigers. 5 ∗ 5 ∗ 5 ∗ 5 ∗ 4 = 2500 5*5*5*5*4 = 2500

2500 + 500 + 10 = 3010 2500+500+10 = \boxed{3010}

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