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02 Sep 2022, 05:30
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:
35%
(medium)
Question Stats:
67% (01:37) correct
33%
(02:13)
wrong
based on 42
sessions
History
Date
Time
Result
Not Attempted Yet
What is the remainder when positive integer x is divided by 12?
(1) When x is divided by 4, the remainder is 3.
(2) When x is divided by 36, the remainder is 27.
(1) When x is divided by 4, the remainder is 3.
(2) When x is divided by 36, the remainder is 27.
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
02 Sep 2022, 06:43
Kudos
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Bunuel
(1) When x is divided by 4, the remainder is 3.
Generic form p = 4q + 3
Taking a few examples
p can be 3, 7, 11, 15, 19.....
Dividing these numbers by 12 would result in different remainders.
If p = 7, remainder is 7
If p = 15, remainder is 3
--> Not Sufficient
(2) When x is divided by 36, the remainder is 27.
Generic form p = 36q + 27
Mathematically 36q would always be divisible by 12, hence, we only need to check for 27 and that will always leave a remainder of 3
Taking a few examples
p can be 27, 63, 99.....
Dividing these numbers by 12 would result in the same remainder
If p = 27, remainder is 3
If p = 63, remainder is 3
If p = 99, remainder is 3
--> Sufficient
IMHO Option B
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