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What is the difference of the integers m and n ?

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What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 14:41
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

47% (01:56) correct 53% (01:02) wrong based on 125 sessions
What is the difference of the integers m and n ?

(1) m = -n
(2) |m|= - |n|
[Reveal] Spoiler: OA
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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 14:50
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What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

Answer: B.
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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 14:55
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guerrero25 wrote:
What is the difference of the integers m and n ?

(1) m = -n
(2) |m|= - |n|


Similar questions to practice:
what-is-the-value-of-ab-151880.html
what-is-the-sum-of-integers-a-and-b-1-a-b-2-b-47089.html
is-xy-132217.html
is-x-y-134781.html
is-x-y-108977.html

Hope it helps.
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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 16:54
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!


Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

Answer: B.
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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 16:56
Expert's post
WholeLottaLove wrote:
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!


Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

Answer: B.


How are they similar?

(1) m + n = 0.
(2) |m| + |n| = 0.
_________________

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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 17:04
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?

Bunuel wrote:
WholeLottaLove wrote:
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!


Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

Answer: B.


How are they similar?

(1) m + n = 0.
(2) |m| + |n| = 0.
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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 17:10
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WholeLottaLove wrote:
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?


|m| and |n| are non-negative, not positive. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0.

As for m = -n. Infinitely many case are possible, m=n=0, m=-n=1, m=-n=2, ...
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the difference of the integers m and n ? [#permalink] New post 18 Jun 2013, 17:41
Got it. The similarity between this and the other question I just asked was throwing me off. Thanks.

Bunuel wrote:
WholeLottaLove wrote:
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?


|m| and |n| are non-negative, not positive. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0.

As for m = -n. Infinitely many case are possible, m=n=0, m=-n=1, m=-n=2, ...
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Re: What is the difference of the integers m and n ? [#permalink] New post 21 Jan 2014, 05:18
Stmt 1: m =-n then difference between m&n is m-n = -2n or 2m this value can be anything. NOT SUFFICIENT.
Stmt 2: |m|=-|n| now regardless of whether m is +ve or -ve
|m| is always >=0.
Similarly |n| is always >=0 hence -|n| is always <=0.
Combining m=n=0 and difference is 0.

B is the answer.
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Re: What is the difference of the integers m and n ?   [#permalink] 21 Jan 2014, 05:18
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