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Updated on: 06 Aug 2012, 00:21
Originally posted by ananthpatri on 05 Aug 2012, 23:12.
Last edited by Bunuel on 06 Aug 2012, 00:21, edited 1 time in total.
Last edited by Bunuel on 06 Aug 2012, 00:21, edited 1 time in total.
OA added.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:28) correct
33%
(02:12)
wrong
based on 375
sessions
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Time
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Is the tens digit of a two digit integer k divisible by 3?
(1) k-5 is a multiple of 3
(2) k-11 is a multiple of 3
(1) k-5 is a multiple of 3
(2) k-11 is a multiple of 3
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
05 Aug 2012, 23:43
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The Answer is E.
For the first statement, select k as 44. k-5=39 which is divisible by 3, the tens digit is 4 which is not divisible by 3. Then select k as 38. k-5=33 which is divisible by 3 and tens digit of 38 is divisible by 3. As both yes and no possible, insufficient.
Similarly, for statement 2 both yes and no are possible.
If we take 1 and 2 together still both outcomes are possible.
Hence, answer is E.
For the first statement, select k as 44. k-5=39 which is divisible by 3, the tens digit is 4 which is not divisible by 3. Then select k as 38. k-5=33 which is divisible by 3 and tens digit of 38 is divisible by 3. As both yes and no possible, insufficient.
Similarly, for statement 2 both yes and no are possible.
If we take 1 and 2 together still both outcomes are possible.
Hence, answer is E.
06 Aug 2012, 00:30
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Is the tens digit of a two digit integer k divisible by 3?
(1) k-5 is a multiple of 3 --> \(k-5=3m\) --> \(k=3m+5=3(m+1)+2\). So, we have that \(k\) is 2 more than a multiple of 3. Now, if \(k=11\) (2 more than 9), then the answer is NO, but if \(k=32\) (2 more than 30), then the answer is YES. Not sufficient.
(2) k-11 is a multiple of 3 --> \(k-11=3n\) --> \(k=3n+11=3(n+3)+2\). The same info as above: \(k\) is 2 more than a multiple of 3. Not sufficient.
(1)+(2) Nothing new. Not sufficient.
Answer: E.
P.S. Please provide OA's for the questions you post. Rule #7 here: rules-for-posting-please-read-this-before-posting-133935.html If you don't have OA you must indicate that in the post.
(1) k-5 is a multiple of 3 --> \(k-5=3m\) --> \(k=3m+5=3(m+1)+2\). So, we have that \(k\) is 2 more than a multiple of 3. Now, if \(k=11\) (2 more than 9), then the answer is NO, but if \(k=32\) (2 more than 30), then the answer is YES. Not sufficient.
(2) k-11 is a multiple of 3 --> \(k-11=3n\) --> \(k=3n+11=3(n+3)+2\). The same info as above: \(k\) is 2 more than a multiple of 3. Not sufficient.
(1)+(2) Nothing new. Not sufficient.
Answer: E.
P.S. Please provide OA's for the questions you post. Rule #7 here: rules-for-posting-please-read-this-before-posting-133935.html If you don't have OA you must indicate that in the post.
