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