Question

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? *

Answer 1

8 players play cricket as well as football

Step-by-step explanation:

Given, students numbered 1 to 100

To Find: Numbers divisible by both 4 and 6

that is, numbers divisible by LCM  of 4 and 6 =12

So number of numbers divisible by 12 are 100/12 =8.33

So our answer is 8 because number of persons cannot be fraction and for the number to be 9, the total players must be at least 108