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.
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Factors & multiples question
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narisipalli
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gmatmachoman
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akdayal wrote:ANS : E
Why cant B???
Did u check for m = 20 or 21?
Last edited by gmatmachoman on Sat May 08, 2010 12:24 pm, edited 1 time in total.
Is m a multiple of 2 and 3?narisipalli wrote: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.
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.
"Choose to chance the rapids and dance the tides"
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narisipalli
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Correct Answer is Biamseer wrote:Is m a multiple of 2 and 3?narisipalli wrote: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.
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.
