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alphonsa
Joined: 22 Jul 2014
Last visit: 25 Oct 2020
Posts: 106
Given Kudos: 196
Concentration: General Management, Finance
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy)
Products:
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
Posts: 106
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
37% (01:47) correct
63%
(02:06)
wrong
based on 38
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What is the value of x^6 + x^(-6) ?
(1) x^6 - x^(-6) = 128
(2) x^3 + x^(-3) = 14
Source: 4Gmat
(1) x^6 - x^(-6) = 128
(2) x^3 + x^(-3) = 14
Source: 4Gmat
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
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18 Aug 2014, 08:45
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In Both STAT1 and STAT2 we need to square both the sides to get the answer
STAT1
Squaring we get
x^12 + x^-12 -2 = 128^2
add 4 on both the sides
x^12 + x^-12 -2 +4 = 128^2 + 4
x^12 + x^-12 + 2 = 128.015^2
=> x^6 + x^-6 = 128.015
STAT2
Squaring we get
X^6 + x^-6 + 2 = 196
=> X^6 + x^-6 = 194
So, Answer will be D
Hope it helps!
@Bunuel: The numerical values in the question options are not consistent so does this constitue a valid gmat question?
STAT1
Squaring we get
x^12 + x^-12 -2 = 128^2
add 4 on both the sides
x^12 + x^-12 -2 +4 = 128^2 + 4
x^12 + x^-12 + 2 = 128.015^2
=> x^6 + x^-6 = 128.015
STAT2
Squaring we get
X^6 + x^-6 + 2 = 196
=> X^6 + x^-6 = 194
So, Answer will be D
Hope it helps!
@Bunuel: The numerical values in the question options are not consistent so does this constitue a valid gmat question?
18 Aug 2014, 09:31
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Bookmarks
What is the value of x^6 + x^(-6) ?
(1) x^6 - x^(-6) = 128 --> square it: \(x^{12} - 2 + x^{-12} = 128^2\) --> add 4 to both sides: \(x^{12} + 2 + x^{-12} = 128^2 + 4\) --> \((x^6 + x^{-6})^2 = 128^2 + 4\) --> \(x^6 + x^{-6} = \sqrt{128^2 + 4}\). Sufficient.
(2) x^3 + x^(-3) = 14 --> square it: \(x^6 + 2 + x^{-6} = 14^2\) --> \(x^6 + x^{-6} = 14^2-2\). Sufficient.
Now, technically answer should be D, as EACH statement ALONE is sufficient to answer the question.
But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
So, the question is flawed. You won't see such a question on the test.
(1) x^6 - x^(-6) = 128 --> square it: \(x^{12} - 2 + x^{-12} = 128^2\) --> add 4 to both sides: \(x^{12} + 2 + x^{-12} = 128^2 + 4\) --> \((x^6 + x^{-6})^2 = 128^2 + 4\) --> \(x^6 + x^{-6} = \sqrt{128^2 + 4}\). Sufficient.
(2) x^3 + x^(-3) = 14 --> square it: \(x^6 + 2 + x^{-6} = 14^2\) --> \(x^6 + x^{-6} = 14^2-2\). Sufficient.
Now, technically answer should be D, as EACH statement ALONE is sufficient to answer the question.
But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
So, the question is flawed. You won't see such a question on the test.
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below
for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum
for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
