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Question

In a hostel, there are 250 students. 120 watch new channels, 80 watch sports channels and 90 watch music channels. Each channel telecasts the content as per their nature. 50 students watch both news and sports channel 60 students watch both sports and music channel and 65 students watch both news and music channels.
What is the minimum number of students who watch at least one of the given channel?


A

115

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B

35

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C

150

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D

140

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Solution

The correct option is C

150


Since the number of students cannot be negative.

Total number of students playing atleast one game
= 120 + (x - 30) + (60 -x )+ (x - 35) = 115 + x
Minimum number of students watching atleast one channel =115 + 35 = 150 (As x is greater than or equal to 35)


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