How Many Legs are There in the Palace

Solve if you are a genius.


You are standing in 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?

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Answer: 3012

Explanation:

To solve for the number of legs, you have to take into consideration all the given assumptions in order for you to get the correct answer.

First, you have to get the total number of rooms within the palace. Since it says that there are 5 soldiers and each soldier has 5 rooms, so, there is a total of 25 rooms within the palace.

Number of Rooms = 5 x 5 = 25.

It is also stated that there are 5 big tigers in each room. If there are 5 tigers in each room, and there are 25 rooms, multiply 5 by 25 and you will get 125 as the number of big tigers.


Number of big Tigers = 25 x 5 = 125.

There are 5 little tigers for each big tiger, so it means, there are 625 little tigers within the palace. 5 little tigers x 125 big tigers, it is equal to 625.

Number of little Tigers = 125 x 5 = 625.

Now, since both big tigers and small tigers have 4 legs each, it is safe to add the number of big and little tigers.

Total Number of tigers = 625 + 125 = 750.

So Number of legs for all the tigers is;

750 x 4 = 3000.——————————–(a)

Then, do not forget the legs of the soldiers. There are 5 soldiers and each soldier has two legs so that gives you additional 10 legs.

Number of Legs of Soldiers = 5 x 2 = 10. ————–(b)

As you are standing in the palace we will have to count them too.

So Your Legs = 2 ———————(c)

So to get total number of legs we add (a), (b) and (c).

Total Number of Legs = 3000 + 10 + 2

Total Number of Legs = 3012

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