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655-705 (Hard)|   Algebra|      
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gmatophobia
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Is |m| - (n-p) = 0 ? 21 Oct 2022, 00:49
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Difficulty:

65% (hard)

Question Stats:

47% (01:33) correct 53% (01:43) wrong based on 135 sessions

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

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

(2) |n - p| = n - p­
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Is |m| - (n-p) = 0 ? 22 Oct 2022, 10:17
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Is |m| - (n - p) = 0 ?

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

2) |n - p| = n - p
Show more


\(|m|-(n-p)=0……|m|=n-p?\)

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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Is |m| - (n-p) = 0 ? 01 May 2024, 20:43
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Is |m| - (n - p) = 0 ?

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

2) |n - p| = n - p
Show more
­
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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Is |m| - (n-p) = 0 ? 02 May 2024, 00:32
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gmatophobia
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
Show more
­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 ? 02 May 2024, 00:42
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RenB

gmatophobia
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
Show more
­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.­
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