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If x and n are integers is the sum of x and n less than zero

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If x and n are integers is the sum of x and n less than zero [#permalink] New post 19 Feb 2012, 04:29
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If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1
(2) -10x > 10n
[Reveal] Spoiler: OA

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Re: If x and n are integers is the sum of x and n less than zero [#permalink] New post 19 Feb 2012, 04:41
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If x and n are integers, is the sum of x and n less than zero?

Question: is x+n<0?

(1) x + 3 < n – 1 --> x-n<-4. Plugging numbers is probably the best way to prove that this statement is not sufficient: x=0 and n=5 then the answer is NO but if x=-5 and n=0 then the answer is YES. Not sufficient.

(2) -10x > 10n --> 10x+10n<0 --> reduce by 10: x+n<0, hence the answer to the question is YES. Sufficient.

Answer: B.
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Re: If x and n are integers is the sum of x and n less than zero [#permalink] New post 21 Feb 2012, 04:06
+1 B

Almost choose E :-(
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If x and n are integers, is the sum of x and n less than [#permalink] New post 01 Jun 2012, 13:59
[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]
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Re: If x and n are integers, is the sum of x and n less than [#permalink] New post 02 Jun 2012, 03:22
Using statement 1, x < n-4. x+n can thus be <0 if x and n are both <0 or it can be >0 if x and n are both >0. Insufficient.

Using statement 2, -2x>2n
=> x<-n
=> x+n<0. Sufficient.

B it is.
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Re: If x and n are integers, is the sum of x and n less than [#permalink] New post 02 Jun 2012, 05:03
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BDSunDevil wrote:
[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]


Merging similar topics. Please ask if anything remains unclear.
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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: If x and n are integers is the sum of x and n less than zero [#permalink] New post 05 Jun 2012, 03:54
Thanks Bunel for the solution.
Re: If x and n are integers is the sum of x and n less than zero   [#permalink] 05 Jun 2012, 03:54
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