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Is |m| - (n-p) = 0 ?

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Is |m| - (n-p) = 0 ? [#permalink] New post   21 Oct 2022, 00:49
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Is |m| - (n - p) = 0 ?

(1) \(\frac{m}{p-n} = 1 \)

(2) |n - p| = n - p­
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Re: Is |m| - (n-p) = 0 ? [#permalink] New post   22 Oct 2022, 10:17
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gmatophobia wrote:
Is |m| - (n - p) = 0 ?

1) \(\frac{m}{p-n} = 1 \)

2) |n - p| = n - p



\(|m|-(n-p)=0……|m|=n-p?\)

1) \(\frac{m}{p-n} = 1 \)
\(m=p-n\)
If m<0, then \(|m|=-m=-(p-n)=n-p\)……..Yes.
If m>0, then \(|m|=m=(p-n)\)……..No
Insufficient

2) |n - p| = n - p
This shows n-p is non negative.
Nothing about m.
Insufficient


Combined
m=p-n, and p-n is negative
So |m|=|p-n|=|n-p|=n-p
Sufficient


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Re: Is |m| - (n-p) = 0 ? [#permalink] New post   01 May 2024, 20:43
gmatophobia wrote:
Is |m| - (n - p) = 0 ?

1) \(\frac{m}{p-n} = 1 \)

2) |n - p| = n - p

­
Hi
I have a doubt in this qs. Can you please help me out as to where I am making a mistake here?

The qs is asking me if |m|-(n-p)=0
In other words, It is asking me if |m|=n-p
Thus,
If m>0, m=n-p
If m<0, -m= n-p or m=p-n

Statement 1:
m=p-n
But the statement doesnt tell me if m > or <0.
Only if m were less than 0, would m=p-n.
Since the option doesnt tell me this, it is insufficient

Statement 2:
|n-p|=n-p
This doesnt really tell me much except that n-p is non negative
n-p>=0
p-n<=0

I am stuck how to analyse the 2 options together. @experts, can you please help
MartyMurray KarishmaB
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Re: Is |m| - (n-p) = 0 ? [#permalink] New post   02 May 2024, 00:32
Expert Reply
RenB wrote:
gmatophobia wrote:
Is |m| - (n - p) = 0 ?

1) \(\frac{m}{p-n} = 1 \)

2) |n - p| = n - p

­
Hi
I have a doubt in this qs. Can you please help me out as to where I am making a mistake here?

The qs is asking me if |m|-(n-p)=0
In other words, It is asking me if |m|=n-p
Thus,
If m>0, m=n-p
If m<0, -m= n-p or m=p-n

Statement 1:
m=p-n
But the statement doesnt tell me if m > or <0.
Only if m were less than 0, would m=p-n.
Since the option doesnt tell me this, it is insufficient

Statement 2:
|n-p|=n-p
This doesnt really tell me much except that n-p is non negative
n-p>=0
p-n<=0

I am stuck how to analyse the 2 options together. @experts, can you please help
MartyMurray KarishmaB

­Since statement (1) tells us that \(\frac{m}{p-n} = 1 \), we know that p - n and n - p do not equal 0.

Thus, combining the statements, we know that p - n < 0.

Do  you see the path to the answer now?­
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Is |m| - (n-p) = 0 ? [#permalink] New post   02 May 2024, 00:42
Expert Reply
RenB wrote:
gmatophobia wrote:
Is |m| - (n - p) = 0 ?

1) \(\frac{m}{p-n} = 1 \)

2) |n - p| = n - p

­
Hi
I have a doubt in this qs. Can you please help me out as to where I am making a mistake here?

The qs is asking me if |m|-(n-p)=0
In other words, It is asking me if |m|=n-p
Thus,
If m>0, m=n-p
If m<0, -m= n-p or m=p-n

Statement 1:
m=p-n
But the statement doesnt tell me if m > or <0.
Only if m were less than 0, would m=p-n.
Since the option doesnt tell me this, it is insufficient

Statement 2:
|n-p|=n-p
This doesnt really tell me much except that n-p is non negative
n-p>=0
p-n<=0

I am stuck how to analyse the 2 options together. @experts, can you please help
MartyMurray KarishmaB

­This question is a copy of the following OG question: 

https://gmatclub.com/forum/is-x-y-z-1-x ... 84821.html

P.S. Worth noting though that such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.­

­DS questions in GMAT Focus encompass various types of word problems, such as:
  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won't encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."­

­Check GMAT Syllabus for Focus Edition­

Hope it helps.­
GMAT Club Bot
gmatclubot
Is |m| - (n-p) = 0 ? [#permalink]
02 May 2024, 00:42
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