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In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?
Most Upvoted Answer
In a school, every student is assigned a unique identification number....
Analysis:
To find out how many students play both cricket and football, we need to identify the students whose identification numbers are divisible by both 4 and 6. This can be done by finding the common multiples of 4 and 6 within the range of 1 to 100.

Identifying Common Multiples:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

Finding Common Multiples:
The common multiples of 4 and 6 within the range of 1 to 100 are: 12, 24, 36, 48, 60, 72, 84, 96.

Calculating Number of Students:
There are 8 common multiples of 4 and 6 within the range of 1 to 100. Therefore, there are 8 students who play both cricket and football in the school.

Conclusion:
In conclusion, there are 8 students who play both cricket and football in the school. This was determined by finding the common multiples of 4 and 6 within the range of 1 to 100.
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In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?
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In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?.
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