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30 Oct 2019, 02:24
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If N is a positive integer, is N divisible by 12?
(1) N is divisible by 6.
(2) N is divisible by 2.
(1) N is divisible by 6.
(2) N is divisible by 2.
30 Oct 2019, 03:20
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If N is a positive integer, is N divisible by 12?
We need to check if N has factors of the form \((2^2)*3\)
(1) N is divisible by 6.
This tells us that N is of the form 6k. Prime factorization: 2*3k. Hence, Insufficient.
(2) N is divisible by 2.
This tells us that N is of the form 2k. Hence, Insufficient.
Combining (1) and (2), we can't say for sure if N is divisible by 12 (\((2^2)*3\))
Hence, E
We need to check if N has factors of the form \((2^2)*3\)
(1) N is divisible by 6.
This tells us that N is of the form 6k. Prime factorization: 2*3k. Hence, Insufficient.
(2) N is divisible by 2.
This tells us that N is of the form 2k. Hence, Insufficient.
Combining (1) and (2), we can't say for sure if N is divisible by 12 (\((2^2)*3\))
Hence, E
30 Oct 2019, 09:00
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Bunuel
If N is a positive integer, is N divisible by 12?
(1) N is divisible by 6.
(2) N is divisible by 2.
(1) N is divisible by 6.
(2) N is divisible by 2.
#1
n=12,24,36 yes
n=18,30 no
#2
again yes & no
from 1&2
LCM = 6
again yes and no
IMO E
