CAT 1997 — QA Question 23
Direction: Answer the questions based on the following information.
A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN.
If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?
Answer & solution
2%
- B
5%
- C
8.5%
- D
Cannot be determined
Here, a + b + c + d + e + f + g = 200 ...(i)
80% of the people watch DD implies
c + d + f + g = 160 ...(ii)
22% of the people watch BBC implies
a + d + e + g = 44 ...(iii)
15% of the people watch CNN implies
b + e + f + g = 30 ...(iv)
(ii) + (iii) + (iv) gives
a + b + c + 2(d + e + f) + 3g = 234
Subtracting (i) from this equation,
d + e + f + 2g = 34 ...(v)
5% of people watch DD and CNN implies
f + g = 10 ...(vi)
10% of people watch DD and BBC implies
d + g = 20 ...(vii)
(v) – (vi) – (vii) gives
e = 4
∴ Required percentage = × 100 = 2%