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26 Feb 2013, 16:14
Kudos
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C
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Difficulty:
15%
(low)
Question Stats:
75% (01:24) correct
25%
(01:25)
wrong
based on 211
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If x is not = to 0, what is the value of (x^m/x^n)^5?
(1) n - m = 2
(2) x^2 = 1/4
(1) n - m = 2
(2) x^2 = 1/4
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
26 Feb 2013, 16:23
Kudos
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If x is not = to 0, what is the value of (x^m/x^n)^5?
\((\frac{x^m}{x^n})^5=(x^{m-n})^5=?\)
(1) n - m = 2 --> m - n = -2 --> \((x^{m-n})^5=(x^{-2})^5\). Not sufficient.
(2) x^2 = 1/4. Not sufficient.
(1)+(2) From (2) we have that \(x^{-2}=4\), thus from (1) \((x^{-2})^5=4^5\). Sufficient.
Answer: C.
\((\frac{x^m}{x^n})^5=(x^{m-n})^5=?\)
(1) n - m = 2 --> m - n = -2 --> \((x^{m-n})^5=(x^{-2})^5\). Not sufficient.
(2) x^2 = 1/4. Not sufficient.
(1)+(2) From (2) we have that \(x^{-2}=4\), thus from (1) \((x^{-2})^5=4^5\). Sufficient.
Answer: C.
26 Feb 2013, 16:49
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Bunuel
Sorry Bunuel I understand all the situation but in stat 2) we have x = + - 1/2 ???? or in this case we take the value as such ?? x^2=1/4 and why in the latter case ??
