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?
4
8
10
12
Answer is (b). To find a number completely divisible by both 4 and 6, it must be divisible by the least common multiple (LCM) of 4 and 6, which is 12. Hence, there are 8 possible numbers meeting this condition: 12, 24, 36, 48, 60, 72, 84, and 96. Therefore, the answer is (b).
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