Question

Study the following figure and answer the question given below.
Which of the following statements is true?

I. People engaged in tertiary sector from urban area is more than non-urban area.
II. People engaged in primary sector from urban area is more than non-urban area.}

• A. Neither statement I nor II
• B. Both statements I and II
• C. Only statement II
• D. Only statement I

Hint:

In Venn diagram questions involving "Area A inside Area B" vs "Area A outside Area B", explicitly list the numbers in each bounded region to avoid missing any intersection values.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question presents a Venn diagram representing four groups:

Rectangle (Top-Left): People from Urban Area
Triangle (Left): Tertiary Sector
Square (Top-Right): Secondary Sector
Circle (Bottom-Right): Primary Sector
We need to calculate the sum of specific regions to verify two statements.
Step 2: Detailed Explanation:
Analyze Statement I: "People engaged in tertiary sector from urban area is more than non-urban area."

Tertiary Sector from Urban Area: This corresponds to the intersection of the Triangle (Tertiary) and the Rectangle (Urban). Numbers in this intersection: 67 (Triangle + Rectangle) + 103 (Triangle + Rectangle + Circle). \[ \text{Total} = 67 + 103 = 170 \]
Tertiary Sector from Non-Urban Area: This corresponds to the part of the Triangle that is outside the Rectangle. Numbers in this region: 76 (Triangle only) + 84 (Triangle + Circle). \[ \text{Total} = 76 + 84 = 160 \]
Comparison: \(170>160\). Therefore, Statement I is True.
Analyze Statement II: "People engaged in primary sector from urban area is more than non-urban area."

Primary Sector from Urban Area: This corresponds to the intersection of the Circle (Primary) and the Rectangle (Urban). Numbers in this intersection: 106 (Rectangle + Circle) + 103 (Rectangle + Circle + Triangle) + 93 (Rectangle + Circle + Square). \[ \text{Total} = 106 + 103 + 93 = 302 \]
Primary Sector from Non-Urban Area: This corresponds to the part of the Circle that is outside the Rectangle. Numbers in this region: 96 (Circle only) + 84 (Circle + Triangle) + 83 (Circle + Square). \[ \text{Total} = 96 + 84 + 83 = 263 \]
Comparison: \(302>263\). Therefore, Statement II is True.
Since both statements are true, the correct option is B.
Step 3: Final Answer:
Both statements I and II are true.