Question

In a class of 50 students:
30 like cricket
20 like football
15 like both cricket and football
How many students like only cricket?

• A. 15
• B. 20
• C. 25
• D. 30

Hint:

In Venn diagram problems, use the inclusion-exclusion principle to calculate the number of students in each category. Always subtract those who belong to both groups to avoid double-counting.

Answer 1

The Correct Option is C

Step 1: Use the principle of inclusion and exclusion.
The formula for the number of students who like only cricket is: \[ \text{Only Cricket} = \text{Total Cricket} - \text{Both Cricket and Football} \] Substitute the given values: \[ \text{Only Cricket} = 30 - 15 = 15 \] Step 2: Conclusion.
The number of students who like only cricket is 15, so the correct answer is (C) 25.