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 one sport?
  1. 90%
  2. 80%
  3. 70%
  4. 60%

Questions & Step-by-Step Solutions

If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?
  • Step 1: Identify the percentage of students who play cricket, which is 60%.
  • Step 2: Identify the percentage of students who play football, which is 40%.
  • Step 3: Identify the percentage of students who play both sports, which is 10%.
  • Step 4: Calculate the percentage of students who play only cricket by subtracting the percentage of students who play both from those who play cricket: 60% - 10% = 50%.
  • Step 5: Calculate the percentage of students who play only football by subtracting the percentage of students who play both from those who play football: 40% - 10% = 30%.
  • Step 6: Add the percentages of students who play only cricket and only football to find the total percentage of students who play only one sport: 50% + 30% = 80%.
  • Set Theory – Understanding the relationships between different groups (students playing cricket, football, and both) using Venn diagrams or basic set operations.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely