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Question

Determine the minimum number of people who could have named all three places as their favourite.

A
25
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B
50
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C
60
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D
35
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Solution

The correct option is B 50

For III to be the minimum, II has to be the maximum.

also, all the equations will have to be satisfied.

We have II +2III = 150

Also I + II + III = 100.

II can take a maximum value of 50. So, III = 50, at this point all the equations are consistent, hence 50 is the minimum number of people.


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