CAT 2000 — QA Question 58
Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.
How many people are watching TV programme P?
- Number of people watching TV programme Q is 1000 and number of people watching both the programmes, P and Q, is 100.
- Number of people watching either P or Q or both is 1500.
Answer & solution
Correct answer: 3
- A
1
- B
2
3
- D
4
From Statement A
Q = 1000
P ∩ Q = 100
This doesn’t gives any information regarding how many people are watching TV programme P
From Statement B
P ∪ Q = 1500
This statement alone is not sufficient.
Let’s combine the information in both the statements.
∴ P ∪ Q = P + Q − P ∩ Q
∴ 1500 = P + 1000 – 100
∴ P = 600
Hence, option (c).
Alternatively
By combining both the statements together we can arrive at the above Venn diagram which gives the number of people watching programme P.
Hence, option (c).