Puzzle | Number of legs in palace

Last Updated : 21 Oct, 2025

Imagine you are standing inside a grand palace where 5 guards are on duty. Each guard is responsible for watching 5 large rooms. In every single one of these rooms, there are 5 adult tigers, and each adult tiger has 5 cubs.

Can you figure out how many legs are inside the palace?

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Check if you were right - full answer with solution below.

Explanation :

Step 1: Calculate the Total Number of Tigers

First, we need to figure out exactly how many tigers are in the palace.

Total number of rooms: There are 5 guards, and each is in charge of 5 rooms.

5 guards × 5 rooms = 25 total rooms

Total number of adult tigers: Each of the 25 rooms has 5 adult tigers.

25 rooms × 5 adult tigers = 125 adult tigers

Total number of tiger cubs: Each of the 125 adult tigers has 5 cubs.

125 adult tigers × 5 cubs = 625 tiger cubs

Add them all up:

125 adult tigers + 625 cubs = 750 total tigers

Now that we know the total number of tigers, we can find the number of tiger legs. Since each tiger has 4 legs:

750 tigers × 4 legs = 3000 tiger legs

Step 2: Calculate the Total Number of Humans

The Guards: There are 5 guards, and each has 2 legs.

5 guards × 2 legs = 10 guard legs

You: The puzzle states you are in the palace, so you have to count your own 2 legs.

2 of your legs

Add the human legs together :

10 guard legs + 2 of your legs = 12 human legs

Step 3: Find the Grand Total

Finally, we just add the tiger legs and the human legs together to get the final answer.

3000 tiger legs + 12 human legs = 3012 total legs.

So, the total number of legs in the palace is 3,012.

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