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metallicafan
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Is the integer x divisible by 24?
(1) x is divisible by 8.
(2) x is divisible by 6.
The solution is easy. However, I have some conceptual doubts related to this problem.
To solve the problem we have to find the LCM, which is 24 in this question. Therefore, x is divisible by 24.
But what about the number 0. According to the MGMAT guide, 0 is a multiple of every integer. Let's see: "any integer * 0 = 0 "
In this sense, and based on that definition, the LCM wouldn't be 24 but it would be 0. Because 0 is a multiple of 8 and 6 and also is less than 24.
Why is 0 not considered the LCM of any set of integers?, Should we calculate the LCM or only analyze whether 0 is divisible by 24?
OA is C.
(1) x is divisible by 8.
(2) x is divisible by 6.
The solution is easy. However, I have some conceptual doubts related to this problem.
To solve the problem we have to find the LCM, which is 24 in this question. Therefore, x is divisible by 24.
But what about the number 0. According to the MGMAT guide, 0 is a multiple of every integer. Let's see: "any integer * 0 = 0 "
In this sense, and based on that definition, the LCM wouldn't be 24 but it would be 0. Because 0 is a multiple of 8 and 6 and also is less than 24.
Why is 0 not considered the LCM of any set of integers?, Should we calculate the LCM or only analyze whether 0 is divisible by 24?
OA is C.
