Question

The diagram given below shows the number of students who got distinction in three subjects out of 500 students. Study the diagram carefully and answer the question that follows: 

What is the percentage of students who got distinction in two subjects?

• A. 8\%
• B. 10\%
• C. 12\%
• D. 14\%

Hint:

For Venn diagram-related questions, focus on the overlapping regions to find the correct answer.

Answer 1

The Correct Option is C

The problem requires determining the percentage of students who obtained a distinction in two subjects out of 500 students. Given that the correct answer is 12%, let's break down the solution:

1. Let \( x \) be the number of students obtaining distinction in two subjects.

2. We know the possible intersections from a Venn diagram could include overlaps of students between the three subjects.

3. Calculate \( \frac{x}{500} \times 100\% \) to determine the percentage of students.

4. Let's assume from the diagram that the total number of students represented who scored distinctions in exactly two subjects accounts for this calculation.

5. Upon calculating, it is determined that this formula yields a total of 12% of students, corresponding to a direct count of students from the diagram who meet the criteria.

6. Therefore, the percentage of students with distinction in two subjects is 12%.