|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
C
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% (01:15) correct
33%
(01:01)
wrong
based on 325
sessions
History
Date
Time
Result
Not Attempted Yet
Is J divisible by 24?
(1) J is divisible by both 12 and 20.
(2) J is divisible by 8.
(1) J is divisible by both 12 and 20.
(2) J is divisible by 8.
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 Aug 2012, 02:36
Kudos
Bookmarks
Is J divisible by 24?
(1) J is divisible by both 12 and 20 --> J is divisible by the least common multiple of 12 and 20, so by 60. Now, if J=60, then the answer is NO but if J=120, then the answer is YES. Not sufficient.
(2) J is divisible by 8. If J=8, then the answer is NO but if J=24, then the answer is YES. Not sufficient.
(1)+(2) Since from (1) J is divisible by 3 and from (2) J is divisible by 8, then it's divisible by the least common multiple of 3 and 8, so by 24. Sufficient.
Answer: C.
Hope it's clear.
(1) J is divisible by both 12 and 20 --> J is divisible by the least common multiple of 12 and 20, so by 60. Now, if J=60, then the answer is NO but if J=120, then the answer is YES. Not sufficient.
(2) J is divisible by 8. If J=8, then the answer is NO but if J=24, then the answer is YES. Not sufficient.
(1)+(2) Since from (1) J is divisible by 3 and from (2) J is divisible by 8, then it's divisible by the least common multiple of 3 and 8, so by 24. Sufficient.
Answer: C.
Hope it's clear.
14 Apr 2017, 05:52
Kudos
Bookmarks
conty911
We need to determine whether J/24 = integer.
Statement One Alone:
J is divisible by both 12 and 20.
If J is divisible by both 12 and 20, then J is divisible by the LCM of 12 and 20, which is 60. Furthermore, J will be divisible by any factors of 60. However, since 24 is not a factor of 60, J may or may not be divisible by 24. For example, if J = 120, then J is divisible by 24. On the other hand, if J = 60, then J is not divisible by 24. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
J is divisible by 8.
Statement two alone is not sufficient to answer the question. For example, when J = 8, J/24 is NOT an integer, but when J = 24, J/24 IS an integer.
Statements One and Two Together:
From statements one and two, we know that J is divisible by both 8 and 60. Thus, J is divisible by the LCM of 8 and 60, which is 120. Since 24 is a factor of 120, J is also divisible by 24.
Answer: C
