If 60% of students play cricket, 40% play football, and 10% play both, what perc
Practice Questions
Q1
If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only cricket?
50%
40%
30%
20%
Questions & Step-by-Step Solutions
If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only cricket?
Step 1: Understand that 60% of students play cricket.
Step 2: Understand that 40% of students play football.
Step 3: Note that 10% of students play both cricket and football.
Step 4: To find the percentage of students who play only cricket, subtract the percentage of students who play both from the percentage of students who play cricket.
Step 5: Calculate: 60% (students who play cricket) - 10% (students who play both) = 50%.
Step 6: Therefore, 50% of students play only cricket.
Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to analyze overlapping sets.
Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
