Question:
There are nine humans in a ship. Each human has nine cages and each cage has nine huge lions, and each lion has nine cubs. How many legs are there in the ship? (Humans have two legs, lions have four legs, cubs have four legs.)
There are nine humans in a ship. Each human has nine cages and each cage has nine huge lions, and each lion has nine cubs. How many legs are there in the ship? (Humans have two legs, lions have four legs, cubs have four legs.)
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Count humans, lions and cubs separately using powers of 9, then multiply by legs per creature.
Updated On: Jul 30, 2026
- 747
- 3258
- 29178
- 26561
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The Correct Option is C
Approach Solution - 1
To find the total number of legs in the ship, we must calculate the legs of all entities (humans, lions, and cubs) on the ship.
- The number of humans on the ship is given as 9. Each human has 2 legs. Therefore, the total number of human legs is:
- \(9 \times 2 = 18\)
- Each human has 9 cages. Therefore, there are:
- \(9 \times 9 = 81\) cages in total.
- Each cage contains 9 huge lions. Therefore, the total number of lions is:
- \(81 \times 9 = 729\) lions.
- Each lion has 4 legs. Therefore, the total number of lion legs is:
- \(729 \times 4 = 2916\)
- Each lion has 9 cubs. Therefore, the total number of cubs is:
- \(729 \times 9 = 6561\) cubs.
- Each cub has 4 legs. Therefore, the total number of cub legs is:
- \(6561 \times 4 = 26244\)
- Now, add up all the legs:
- Human legs: 18
- Lion legs: 2916
- Cub legs: 26244
- \(18 + 2916 + 26244 = 29178\)
Thus, the correct answer is 29178, which corresponds to option 29178.
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Approach Solution -2
Step 1: Count the legs from the humans.
There are 9 humans, each with 2 legs, so humans contribute \(9 \times 2 = 18\) legs.
Step 2: Count how many lions there are, then their legs.
Each of the 9 humans has 9 cages, and each cage has 9 lions, so the number of lions is \(9 \times 9 \times 9 = 729\). Each lion has 4 legs, so lions contribute \(729 \times 4 = 2916\) legs.
Step 3: Count how many cubs there are, then their legs.
Each of the 729 lions has 9 cubs, so the number of cubs is \(729 \times 9 = 6561\). Each cub has 4 legs, so cubs contribute \(6561 \times 4 = 26244\) legs.
Step 4: Add up all the legs.
Total legs = \(18 + 2916 + 26244 = 29178\).
Final Answer:
There are 29178 legs in the ship. \[ \boxed{29178} \]
There are 9 humans, each with 2 legs, so humans contribute \(9 \times 2 = 18\) legs.
Step 2: Count how many lions there are, then their legs.
Each of the 9 humans has 9 cages, and each cage has 9 lions, so the number of lions is \(9 \times 9 \times 9 = 729\). Each lion has 4 legs, so lions contribute \(729 \times 4 = 2916\) legs.
Step 3: Count how many cubs there are, then their legs.
Each of the 729 lions has 9 cubs, so the number of cubs is \(729 \times 9 = 6561\). Each cub has 4 legs, so cubs contribute \(6561 \times 4 = 26244\) legs.
Step 4: Add up all the legs.
Total legs = \(18 + 2916 + 26244 = 29178\).
Final Answer:
There are 29178 legs in the ship. \[ \boxed{29178} \]
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