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29 Jun 2023, 01:30
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (00:39) correct
22%
(00:46)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
Is the positive integer z divisible by 12?
(1) z is divisible by 3.
(2) z is not divisible by 2.
(1) z is divisible by 3.
(2) z is not divisible by 2.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
29 Jun 2023, 02:51
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Bunuel
What do we need to find?
Is positive integer z divisible by 12?
For any integer to be divisible by 12, that integer has to be divisible by all the factors of 12. Therefore, for z to be divisible by 12, z must be divisible by 2x2x3
(1) z is divisible by 3.
This information is not sufficient because a number can be divisible by 3 and still not be divisible by 12. Eg. - 6 is divisible by 3 but not by 12, whereas 24 is divisible by 3 as well as 12.
Since we do not have a clear YES or NO to the question asked, therefore (1) alone is not sufficient
(2) z is not divisible by 2.
As per our analysis, since z is not divisible by 2, it can never be divisible by 12.
This statement is sufficient to answer NO to the question asked. Therefore, (2) alone is sufficient.
Therefore, the answer is (B)
29 Jun 2023, 04:38
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(1) Only
z can be 3, or 12.
Not sufficient
(2) Only
z is an odd number.
An odd number cannot be divisible by 12.
Sufficient
The answer is thus (B).
z can be 3, or 12.
Not sufficient
(2) Only
z is an odd number.
An odd number cannot be divisible by 12.
Sufficient
The answer is thus (B).
