Question

The following are the results of a survey conducted on a small cross-section of students from the Symbiosis Group of institutes, to determine the readership of three magazines: Business India, Outlook and India Today. This survey was conducted in December 2006.

Number of students who read only Business India = 40
Number of students who read only Outlook = 60
Number of students who read only India Today = 110
Number of students who read all three magazines = 30
Number of students who read Business India and India Today, but not Outlook = 20
Number of students who read Business India and Outlook, but not India Today = 50
Number of students who read Outlook and India Today, but not Business India = 40

How many students did not read Business India?

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

Hint:

Subtract everyone who touches the Business India circle (only BI, plus both overlaps with BI, plus all three) from the total surveyed.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
Using the same survey data, we need to count students who did not read Business India at all.

Step 2: Key Formula or Approach:
A student "did not read Business India" only if that student falls entirely outside the Business India circle in the Venn diagram. So we add up every region that has no Business India component at all, and skip every region that touches Business India in any way.

Step 3: Detailed Explanation:
The regions with no Business India readers are: only Outlook = 60, only India Today = 110, and Outlook and India Today only (no Business India) = 40.
\[ \text{Did not read BI} = 60 + 110 + 40 = 210 \]
Now compare this to the options given: 40, 170 and 240 are all listed, but the correct count is 210, which is not among them.

Step 4: Final Answer:
Since 210 is not listed among options (A), (B) or (C), the correct choice is option (D), None of these.
\[ \boxed{210 \Rightarrow \text{None of these}} \]