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Question

A group of people like - Khus, Mango or Orange. 60 like Khus, 50 like Orange, 48 like Mango. 12 like Khus and Mango, 15 like Mango and Orange and 20 like Orange and Khus. What is the minimum and maximum number of people in the group respectively?

A
115, 119
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B
111, 123
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C
123, 135
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D
111, 121
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Solution

The correct option is B 111, 123

Minimum x = 0
Maximum x = 12
Total number of people = (x+28)+(x+15)+(x+21)+(20-x)+(12-x)+(15-x)+x = 111+x
Minimum Total = 111+0=111
Maximum Total = 111+12=123

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