Noah’s ark

Logic Level 4

After Noah finished building the ark the animals on the surface of earth came to the ark, and Noah counted 300 species, 300 males and 300 females. God told Noah that when placing the animals in cages he has to obey the following rules:

• There can’t be more than 2 carnivores in one cage

• Two animals pertaining to the same species can’t be in a cage

• The number of herbivores in a cage can’t be even

• Carnivores and herbivores can’t stay in the same cage

Obeying ONLY these rules determine which is the number of carnivores and herbivores in Noah’s ark and what is the minimum number of cages required to place all the animals in cages?

Note: If your answer is Carnivores: 46, Herbivores: 554, Cages: 50 give your answer like this: “4655450”. Please respect this answering order


The answer is 45966.

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2 solutions

Tran Hieu
Jan 13, 2016

I dont really understand the question and I thought it is incorrect in many ways.

First, if the question is to find the minimum number of cages, then the answer should be 4 cages, not 6 cages: 2 carnivores in 2 cages, 598 herbivores divided in another 2 cages (each 299). Also the question needs to clearly state that

Second, if the question is not to find the minimum number of cages, then there will be 301 way of distributed the carnivores/herbivores.

Marchis Denis
Jan 13, 2016

Solution:

If you want to determine the minimum number of cages, and in a cage can be maximum two carnivores and two species can’t share the same cage this means that the number of carnivores is 4. It is 4 because it is the MINIMUM number of carnivores that can stay in 2 cages. If there were 6 carnivores, the number of cages increases. The idea is to minimize the number of cages! There remaining numbers of animals must be herbivores, since the total number of carnivores is 4. That is, 596.

The distribution of herbivores and carnivores: 297 herbivores in one cage, 297 in another cage and two more cages with only one herbivore. Therefore, the minimum number of cages is 6.

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