In a school every student is assigned a unique identification number

Numbers

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?

  1. 4
  2. 8
  3. 10
  4. 12

Answer

If a student plays cricket as well as football, then identification number must be divisible by both 4 and 6.

LCM of (4, 6) = 12

There are 8 multiples of 12 between 1 and 100.

The correct option is B.