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?
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? Correct Answer 8
Given :
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.
The number is assigned from 1 to 100.
Concept used :
Number divisible by 4 and 6 will be divisible by the LCM of 4 and 6
Calculations :
Number divisible by 12 from 1 to 100 are 12, 24, 36, 48, 60, 72, 84 and 96
So there are total of 8 students who will play both cricket and football.
∴ Option 2 is the correct choice.
