Question

What was the total no. of students surveyed?

• A. 210
• B. 350
• C. 390
• D. None of these
• A. 40
• B. 170
• C. 240
• D. None of these

Answer 1

The Correct Option is B

Step 1: Understand the question
We are asked to find the total number of students surveyed, based on the readership data of three magazines: Business India, Outlook, and India Today. This requires summing up all the disjoint groups in the Venn diagram.

Step 2: List out all groups given in the problem
- Students who read only Business India = 40
- Students who read only Outlook = 60
- Students who read only India Today = 110
- Students who read all three magazines = 30
- Students who read Business India and India Today, but not Outlook = 20
- Students who read Business India and Outlook, but not India Today = 50
- Students who read Outlook and India Today, but not Business India = 40

Step 3: Add them all
Total students = (Only BI) + (Only O) + (Only IT) + (All three) + (BI ∩ IT only) + (BI ∩ O only) + (O ∩ IT only)
= 40 + 60 + 110 + 30 + 20 + 50 + 40
= 350

Step 4: Conclusion
Thus, the total number of students surveyed is 350.

Final Answer: The correct option is (B): 350

Answer 2

Step 1: Understand the question
We are asked: How many students did not read Business India? To answer, we must first calculate the total number of students who read Business India and then subtract this from the overall total (350).

Step 2: Identify groups that involve Business India
The following groups include Business India readers:
- Only Business India = 40
- Business India and Outlook only = 50
- Business India and India Today only = 20
- All three magazines = 30

Step 3: Add them up
Total Business India readers = 40 + 50 + 20 + 30 = 140

Step 4: Subtract from total surveyed
Total students surveyed = 350
Students who did not read Business India = 350 – 140 = 210

Step 5: Check the answer options
Since the answer is 210 and the given correct option is "None of these," it implies that 210 was not listed among the choices. Hence "None of these" is correct.

Final Answer: The correct option is (D): None of these (actual number = 210)