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If x = -|w|, which of the following must be true
[#permalink]
17 Jul 2018, 19:01
17 Jul 2018, 19:01
Bunuel,
I couldn't understand OG explanation. Alternatively, if (x, w) is equal to either of the pairs (−1,1) or (−1,−1), then x = −|w| is true. However, each of the answer choices except x2 = w2 is false for at least one of these two pairs.
Could you explain me.
Thanks
adkikani , please try out this one
I couldn't understand OG explanation. Alternatively, if (x, w) is equal to either of the pairs (−1,1) or (−1,−1), then x = −|w| is true. However, each of the answer choices except x2 = w2 is false for at least one of these two pairs.
Could you explain me.
Thanks
adkikani , please try out this one
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Posts: 1316
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Re: If x = -|w|, which of the following must be true
[#permalink]
17 Jul 2018, 19:08
17 Jul 2018, 19:08
1
Kudos
Thanks ammuseeru , I think am better at single modulus 
My approach coincided with OptimusPrepJanielle
Did you care to took x or w as negatives or fractions even if nothing
was mentioned about them in questions stem?
_________________
My approach coincided with OptimusPrepJanielle
Did you care to took x or w as negatives or fractions even if nothing
was mentioned about them in questions stem?
I honestly at time have a disliking for OG sol since at time they are crappy (you may find tons
of issues on verbal forums), I would rather validate my approach
on forums than spending time to understand them.
of issues on verbal forums), I would rather validate my approach
on forums than spending time to understand them.
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It's the journey that brings us happiness not the destination.
Feeling stressed, you are not alone!!
Feeling stressed, you are not alone!!
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Joined: 19 May 2016
Posts: 19
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GPA: 3.1
Re: If x = -|w|, which of the following must be true
[#permalink]
18 Dec 2018, 18:47
18 Dec 2018, 18:47
i just cannot seem to understand the rule of absolutes and always get these questions wrong. Just for absolutes, can someone recommend good studying source?
Re: If x = -|w|, which of the following must be true
[#permalink]
18 Dec 2018, 21:16
18 Dec 2018, 21:16
1
Bookmarks
Expert Reply
anum23 wrote:
i just cannot seem to understand the rule of absolutes and always get these questions wrong. Just for absolutes, can someone recommend good studying source?
10. Absolute Value
- Theory
Math: Absolute value (Modulus)
Absolute Value: Tips and hints
Properties of Absolute Values on the GMAT
Absolute modulus : A better understanding
GMAT Question Patterns: Abolute Value
The Reason Behind Absolute Value Questions on the GMAT
For more check Ultimate GMAT Quantitative Megathread
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Re: If x = -|w|, which of the following must be true
[#permalink]
13 Sep 2019, 22:05
13 Sep 2019, 22:05
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
Given: \(x = –|w|\)
Asked: Which of the following must be true?
\(x = –|w|\)
Taking square of both sides
\(x^2 = w^2\)
IMO D
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Email: kinshook.chaturvedi@gmail.com
Re: If x = -|w|, which of the following must be true
[#permalink]
10 Jan 2020, 04:30
10 Jan 2020, 04:30
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
w =-4 x=-4 X^2 =W^2 i.e 16
so D
Re: If x = -|w|, which of the following must be true
[#permalink]
18 Aug 2020, 10:17
18 Aug 2020, 10:17
D is the answer
when we square, irrespective of sign., we get a positive answer
when we square, irrespective of sign., we get a positive answer
If x = -|w|, which of the following must be true
[#permalink]
22 Nov 2020, 04:55
22 Nov 2020, 04:55
1
Kudos
1
Bookmarks
Top Contributor
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
We can square both sides of \(x = –|w|\); Because \(|w|=\sqrt{w^2}\)
\(x^2 = (–\sqrt{w^2})^2\)
So, \(x^2 = w^2\)
The Answer is D
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Collections:-
PSof OG solved by GC members: https://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: https://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection https://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions https://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: https://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html
PSof OG solved by GC members: https://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: https://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection https://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions https://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: https://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html
Re: If x = -|w|, which of the following must be true
[#permalink]
21 Jan 2021, 12:10
21 Jan 2021, 12:10
1
Kudos
Ndkms wrote:
Corrrect answer D because
\(x^2 = ( - |w|)^ 2\)
DO NOT FORGET THAT by definition |w| = \((\sqrt{w})^2\) therefore
thus x^2 = \((-1)^2\) * \([ (\sqrt{w})^2 ] ^2\) = \(w^2\)
\(x^2 = ( - |w|)^ 2\)
DO NOT FORGET THAT by definition |w| = \((\sqrt{w})^2\) therefore
thus x^2 = \((-1)^2\) * \([ (\sqrt{w})^2 ] ^2\) = \(w^2\)
I think you are mistaken, the definition of absolute value is |w| = \((\sqrt{w^2})\)
if it was the case that the definition of absolute value was \((\sqrt{w})^2\) then you couldn't get the absolute value of any negative number (at least in terms of non-imaginary numbers). And I think that you would agree that for example, |-3| = 3 is a valid expression.
Re: If x = -|w|, which of the following must be true
[#permalink]
29 Jan 2021, 22:30
29 Jan 2021, 22:30
x = -1, w = 1
x = -1, w = -1
Both of the above test values satisfy the stem.
x^2 = w^2 is unequivocally true because the sign is hidden.
Answer is D.
_________________
x = -1, w = -1
Both of the above test values satisfy the stem.
x^2 = w^2 is unequivocally true because the sign is hidden.
Answer is D.
_________________
"Do not pray for an easy life, pray for the strength to endure a difficult one." - Bruce Lee
Re: If x = -|w|, which of the following must be true
[#permalink]
08 Nov 2021, 16:22
08 Nov 2021, 16:22
2
Kudos
Expert Reply
Top Contributor
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)
Let's test some values that satisfy the given equation \(x = –|w|\)
For example, it could be the case that \(x = -2\) and \(w = -2\)
So we'll plug these values into the answer choices to see which ones yield a valid equation.
A. \(-2 = –(-2)\) not true. ELIMINATE.
B. \(-2 = -2\) TRUE
C. \((-2)^2 = -2\) not true. ELIMINATE.
D. \((-2)^2 = (-2)^2\) TRUE
E. \((-2)^3 = (-2)^3\) TRUE
We're down to 3 answer choices.
It could also be the case that \(x = -2\) and \(w = 2\), since those values also satisfy the given equation \(x = –|w|\)
Plug these values into the remaining answer choices....
B. \(-2 = 2\) not true. ELIMINATE.
D. \((-2)^2 = 2^2\) TRUE
E. \((-2)^3 = 2^3\) not true. ELIMINATE.
Answer: D
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Re: If x = -|w|, which of the following must be true
[#permalink]
14 Nov 2022, 11:04
14 Nov 2022, 11:04
1
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Re: If x = -|w|, which of the following must be true [#permalink]
14 Nov 2022, 11:04
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