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.