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There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football ?
- a)25
- b)20
- c)18
- d)15
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are 100 students in a particular class. 60% students play cricke...
Solution: b) If 60% play cricket, and 30% play football then total percentage that plays both = 60 + 30 = 90%But out of these, 10% that play both need to be subtracted as they are counted twice. So, 80% play both. Those who play neither will be 100-80 = 20%.
Most Upvoted Answer
There are 100 students in a particular class. 60% students play cricke...
Given data:
Total number of students in the class = 100
Percentage of students who play cricket = 60%
Percentage of students who play football = 30%
Percentage of students who play both cricket and football = 10%
To find:
The number of students who play neither cricket nor football.
Solution:
Let's first calculate the number of students who play cricket only, football only and both cricket and football.
Number of students who play cricket = 60% of 100 = 60
Number of students who play football = 30% of 100 = 30
Number of students who play both cricket and football = 10% of 100 = 10
Number of students who play only cricket = Number of students who play cricket - Number of students who play both cricket and football = 60 - 10 = 50
Number of students who play only football = Number of students who play football - Number of students who play both cricket and football = 30 - 10 = 20
Now, let's find the number of students who play neither cricket nor football.
Number of students who play neither cricket nor football = Total number of students - (Number of students who play cricket + Number of students who play football - Number of students who play both cricket and football)
= 100 - (60 + 30 - 10)
= 20
Therefore, the number of students who play neither cricket nor football is 20.
Answer: Option B.
Total number of students in the class = 100
Percentage of students who play cricket = 60%
Percentage of students who play football = 30%
Percentage of students who play both cricket and football = 10%
To find:
The number of students who play neither cricket nor football.
Solution:
Let's first calculate the number of students who play cricket only, football only and both cricket and football.
Number of students who play cricket = 60% of 100 = 60
Number of students who play football = 30% of 100 = 30
Number of students who play both cricket and football = 10% of 100 = 10
Number of students who play only cricket = Number of students who play cricket - Number of students who play both cricket and football = 60 - 10 = 50
Number of students who play only football = Number of students who play football - Number of students who play both cricket and football = 30 - 10 = 20
Now, let's find the number of students who play neither cricket nor football.
Number of students who play neither cricket nor football = Total number of students - (Number of students who play cricket + Number of students who play football - Number of students who play both cricket and football)
= 100 - (60 + 30 - 10)
= 20
Therefore, the number of students who play neither cricket nor football is 20.
Answer: Option B.
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There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football ?a)25b)20c)18d)15Correct answer is option 'B'. Can you explain this answer?
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