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24 Oct 2019, 01:00
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Difficulty:
45%
(medium)
Question Stats:
63% (01:29) correct
37%
(01:18)
wrong
based on 84
sessions
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Is the integer b divisible by 6 ?
(1) 8b is divisible by 3.
(2) 9b is divisible by 12.
(1) 8b is divisible by 3.
(2) 9b is divisible by 12.
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
24 Oct 2019, 02:25
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Statement 1- 8b is divisible by 3. As 8 is not divisible by 3, b must be a multiple of 3.
But we don't know whether b is divisible by 2.
Insufficient
Statement 2- 9b is divisible by 12.
9 is divisible by 3, but not by 4; hence, b must be a multiple of 4 .
But we don't know whether b is divisible by 3.
Insufficient
Combining both statements
b is divisible by 3 and 4; hence, b must be divisible by 6.
Sufficient
But we don't know whether b is divisible by 2.
Insufficient
Statement 2- 9b is divisible by 12.
9 is divisible by 3, but not by 4; hence, b must be a multiple of 4 .
But we don't know whether b is divisible by 3.
Insufficient
Combining both statements
b is divisible by 3 and 4; hence, b must be divisible by 6.
Sufficient
Bunuel
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