Factors & multiples question

[narisipalli]

Is m a multiple of 6?
1) More than 2 of the first 5 positive integer multiples of m are multiples of 3.
2) Fewer than 2 of the first 5 positive integer multiples of m are multiples of 12.

[akdayal]

ANS : E

[gmatmachoman]

ANS : E

Why cant B???

Did u check for m = 20 or 21?

[iamseer]

Is m a multiple of 6?
1) More than 2 of the first 5 positive integer multiples of m are multiples of 3.
2) Fewer than 2 of the first 5 positive integer multiples of m are multiples of 12.

Is m a multiple of 2 and 3?

from 1:
first 5 positive multiples of m are:m,2m,3m,4m,5m. Of these more than 2 are multiples of 3.

m=6 (6,12,18,24,30), more than 3 are multiples of 3 and m is a multiple of 6
m=3 (3,6,9,12,15) , more than 3 are multiples of 3 but m is not a multiple of 6
Insufficient

from 1:
first 5 positive multiples of m are:m,2m,3m,4m,5m. Of these fewer than 2 are multiples of 12. i.e only 1 or none are multiples of 12.

All multiples of 6 will have more than 1 multiple in the first 5 positive multiples as a multiple of 12. So, if m has fewer than two multiples of 12, it is not a multiple of 6.
Sufficient.

IMO answer B

Let us know OA.

[narisipalli]

Is m a multiple of 6?
1) More than 2 of the first 5 positive integer multiples of m are multiples of 3.
2) Fewer than 2 of the first 5 positive integer multiples of m are multiples of 12.

Is m a multiple of 2 and 3?

from 1:
first 5 positive multiples of m are:m,2m,3m,4m,5m. Of these more than 2 are multiples of 3.

m=6 (6,12,18,24,30), more than 3 are multiples of 3 and m is a multiple of 6
m=3 (3,6,9,12,15) , more than 3 are multiples of 3 but m is not a multiple of 6
Insufficient

from 1:
first 5 positive multiples of m are:m,2m,3m,4m,5m. Of these fewer than 2 are multiples of 12. i.e only 1 or none are multiples of 12.

All multiples of 6 will have more than 1 multiple in the first 5 positive multiples as a multiple of 12. So, if m has fewer than two multiples of 12, it is not a multiple of 6.
Sufficient.

IMO answer B

Let us know OA.

Correct Answer is B