Delegates for a diplomatic summit must travel in taxis, each of which can take a maximum of 4, 5 or 6 people. When ordering taxis, it is not possible to specify the number of seats. About 60 delegates are expected, but certainly no more than 80. It is essential that there is space for every delegate. How many taxis should be ordered?

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Delegates for a diplomatic summit must travel in taxis, each of which can take a maximum of 4, 5 or 6 people. When ordering taxis, it is not possible to specify the number of seats. About 60 delegates are expected, but certainly no more than 80. It is essential that there is space for every delegate. How many taxis should be ordered?

A 10

B 14

C 15

D 20

Answer: D 20

Explanation:

If having enough space for every single delegate is the most essential task, then we should consider the worst-case scenario: 80 delegates show up, and all the taxis only take a maximum of 4 people.

In that case, we would need 20 taxis to fit all the delegates.

On the other hand, if only 60 delegates show up, and all the taxis can carry up to 6 people, it would mean that only 10 taxis would be required, so the rest would have to be canceled.

Despite the inconvenience and even the possible cost of such cancelation, we would be prepared to make sure there is space for every delegate.