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Choose the correct option:

There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that $85$% of viewers respond to Bang, $20$% to Luck. and $30$% to Ahead. $20$% of viewers respond to exactly two channels and 5% to none. Assuming $20$% respond to Ahead and Bang, and $16$% respond to Bang and Luck, what is the percentage of viewers who watch only Luck?

1. $20$
2. $10$
3. $16$
4. None of these

+1 vote

Given (4) + (5) = 20
and (2) + (5) = 16
And we have got (5) = 10 from Question 79 (https://aptitude.gateoverflow.in/4021/cat1995-79)
Thus, (4) = 20 -10 = 10
(2) =16 – 10 = 6
Using equation (v) that is (2) + (4) + (6) = 20 , we also get
(6) = 4 (:. 20 – 10 – 6 = 4)
Using equation (ii) that is (2) + (3) + (5) + (6) = 20 ,we got
(3) = 20 – (6 + 4 + 10) = 0
Option D is the Correct Answer.
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The answer must be less than 20-16 = 4 and so D choice. In exam stopping here saves time :)
definitely saves time...:)

+1 vote