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Is x a negative number? [#permalink] New post 06 Aug 2012, 03:11
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Is x a negative number?

(1) 9x > 10x
(2) x + 3 is positive.

Practice Questions
Question: 13
Page: 276
Difficulty: 550


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[Reveal] Spoiler: OA

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Re: Is x a negative number? [#permalink] New post 06 Aug 2012, 03:11
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Re: Is x a negative number? [#permalink] New post 06 Aug 2012, 07:45
From Statement -1 : 9 X > 10 X
Case -1 :Assuming X > 0
Dividing by X , 9>10 - Which is no true - So X <0 - Sufficient

Case-2 : X+3 >0
i.e X> -3 ....X can be any number greater than -3 -Not sufficient

Answer -
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A
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Re: Is x a negative number? [#permalink] New post 06 Aug 2012, 07:57
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Is x a negative number?

(1) 9x > 10x
(2) x + 3 is positive.

Practice Questions
Question: 13
Page: 276
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


Now let us take it down fat and very fast, cos this is a very wussy question where we have to save time for the other tough problems we should not take more than 10 seconds to solve it .
9x>10x implies x < 0 9 (Awesome )
x+3 > 0 implies x > -3 ( not good )
Answer is A
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Re: Is x a negative number? [#permalink] New post 06 Aug 2012, 08:35
IMO A

st 1: sufficient x is -ve
st 2: not sufficient x can be +ve, -ve or zero
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Re: Is x a negative number? [#permalink] New post 10 Aug 2012, 04:58
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Is x a negative number? [#permalink] New post 22 Sep 2012, 17:08
Is x a negative number?

(1) 9x > 10x
(2) x + 3 is positive.

i would like to know if my process is correct

1) 9x - 10x >0 ----> x (9-10) > 0 -----> x > 0 suff

2) x + 3 = pos x can be a positive value 4 + 3 = 7 or negative -1 + 3 = 2 always positive insuff

In particular I wish to know about the first stat.

Thanks
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Re: Is x a negative number? [#permalink] New post 22 Sep 2012, 22:52
carcass wrote:
Is x a negative number?

(1) 9x > 10x
(2) x + 3 is positive.

i would like to know if my process is correct

1) 9x - 10x >0 ----> x (9-10) > 0 -----> x > 0 suff

2) x + 3 = pos x can be a positive value 4 + 3 = 7 or negative -1 + 3 = 2 always positive insuff

In particular I wish to know about the first stat.

Thanks


Merging similar topics. Please refer to the solutions above and ask if anything remains unclear.
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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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

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Re: Is x a negative number? [#permalink] New post 22 Sep 2012, 23:24
9x>10X only if x is -ve it cant be greater when x is + ve
hence 1 is sufficient
but statement 2 is insufficient as x can hav the value as 0 and any + ve num
zero is neither +ve nor - ve
hence insufficient
A is the answer
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Re: Is x a negative number? [#permalink] New post 23 Sep 2012, 05:00
Bunuel wrote:
SOLUTION

Is x a negative number?

(1) 9x > 10x --> rearrange: 0>10x-9x --> 0>x. Sufficient.
(2) x + 3 is positive --> x+3>0 --> x>-3. Not sufficient.

Answer: A.


Hi Bunuel.

What is unclear for me is not the probelm by itself (I picked the right answer but the first statement

1) 0 > of something then X must be negative. The answer is definitevely YES.

Instead, I have obtained YES too but X is definetevely positive. In this scenario is the same, the most imprtant thing is to have a definitive answer, or is wrong thinking in this way??

Thanks
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Re: Is x a negative number? [#permalink] New post 24 Sep 2012, 04:04
carcass wrote:
Bunuel wrote:
SOLUTION

Is x a negative number?

(1) 9x > 10x --> rearrange: 0>10x-9x --> 0>x. Sufficient.
(2) x + 3 is positive --> x+3>0 --> x>-3. Not sufficient.

Answer: A.


Hi Bunuel.

What is unclear for me is not the probelm by itself (I picked the right answer but the first statement

1) 0 > of something then X must be negative. The answer is definitevely YES.

Instead, I have obtained YES too but X is definetevely positive. In this scenario is the same, the most imprtant thing is to have a definitive answer, or is wrong thinking in this way??

Thanks


Well, from (1) we have that x<0, so x is negative not positive.

As for your question: in a Yes/No Data Sufficiency question, statement(s) is sufficient if the answer is “always yes” or “always no” while a statement(s) is insufficient if the answer is "sometimes yes" and "sometimes no".

Hope it's clear.
_________________

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

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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

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. NEW!!!, 11 New DS set. NEW!!!


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Re: Is x a negative number?   [#permalink] 24 Sep 2012, 04:04
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