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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:10) correct
46%
(02:21)
wrong
based on 186
sessions
History
Date
Time
Result
Not Attempted Yet
Is x^2 > 5^2 ?
(1) |x + 5| = 3|x - 5|
(2) |x| > 3
(1) |x + 5| = 3|x - 5|
(2) |x| > 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
10 Jun 2014, 15:41
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Is x^2 > 5^2 ?
(1) |x+5| = 3|x - 5|
If x+5 and x-5 have the same sign, then we'd have \(x+5=3(x-5)\) --> \(x=10\). This value satisfies |x+5| = 3|x - 5|. So. \(x=10\) is a valid solution. This value gives an YES answer to the question.
If x+5 and x-5 have different signs, then we'd have \(-(x+5)=3(x-5)\) --> \(x=2.5\). This value satisfies |x+5| = 3|x - 5|. So. \(x=2.5\) is a valid solution. This value gives a NO answer to the question.
Not sufficient.
(2) |x| > 3. Clearly insufficient, consider x = 4 and x = 10.
(1)+(2) Since from (2) |x| > 3, then from (1) we are left with only x = 10. Therefore x^2 > 25. Sufficient.
Answer: C.
P.S. Please name the topics properly and provides the OA's (rules 3 and 7 here: rules-for-posting-please-read-this-before-posting-133935.html). Thank you.
(1) |x+5| = 3|x - 5|
If x+5 and x-5 have the same sign, then we'd have \(x+5=3(x-5)\) --> \(x=10\). This value satisfies |x+5| = 3|x - 5|. So. \(x=10\) is a valid solution. This value gives an YES answer to the question.
If x+5 and x-5 have different signs, then we'd have \(-(x+5)=3(x-5)\) --> \(x=2.5\). This value satisfies |x+5| = 3|x - 5|. So. \(x=2.5\) is a valid solution. This value gives a NO answer to the question.
Not sufficient.
(2) |x| > 3. Clearly insufficient, consider x = 4 and x = 10.
(1)+(2) Since from (2) |x| > 3, then from (1) we are left with only x = 10. Therefore x^2 > 25. Sufficient.
Answer: C.
P.S. Please name the topics properly and provides the OA's (rules 3 and 7 here: rules-for-posting-please-read-this-before-posting-133935.html). Thank you.
