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CAT 1995 | Question: 79

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1 1 vote

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.

What percentage of the viewers responded to all three?

  1. $10$
  2. $12$ 
  3. $14$ 
  4. None of these

1 Answer

Best answer
2 2 votes

                                                      5(none)

Now,
(1) + (2) + (4) + (5) = 85 (BANG)…..(i)
(2) + (3) + (5) + (6) = 20 (LUCK)…..(ii)
(4) + (5) + (6) + (7) = 30 (AHEAD)…(iii)
(1) + (2) + (3) + (4) + (5) + (6) + (7) = 100 – 5 = 95 …(iv)
(2) + (4) + (6) = 20 ….. (v)
Now   
         (i) + (ii) + (iii) – (iv) – (v) gives
           2(5) = 135 – 95 – 20 = 20
               (5) = 10
Option A is the Correct Answer.

 

 

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