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PS questions and question about the gmat books !

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PS questions and question about the gmat books ! [#permalink] New post 10 Sep 2010, 10:04
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Hi everyone!
First of all, I would like to say that it's my first post ont he website! However I am registered to the gmatclub for 3 or 4 months now. Oh and also, I am french (that might explain some english mistake I could do ....)

I have 2 questions:

1) gmat quantitative review 2nd edition question 156 (PS)

"If 4< \frac{(7-x)}{3}, which of the following must be true?

I. 5 < x
II. |x+3| > 2
III. -(x+5) >0
"

Answer :
First of all let's simplify the expression. We obtain : x < -5

I. Obvious that it is not true.
III. Obivous that it is true

II. For me |x + 3| > 2 means that x is in [ -inf; -5] U [-1; +inf]. i.e we don't only have x < -5 which would mean that it is not true (I think).
But as you can see it coming, the answer is that the statement is TRUE. WHY ?????????

I hope I made myself as clear as possible on this question....

2) As I am very studuous, I am working with the three gmat books and the gmatclub tests.
For all the questions of the "gmat quantitative 2nd edition" I got 272/300, i.e. 90.6% (and I am working on a train) which does not seem that bad.
However for the gmatclub test, I am often less than 50% (percentile) and around 9/10 mistakes. My best score is 75%. So as soon as I start doing the gmatclub tests I am feeling really bad, like if I was hopeless....

Is this range normal? Am I hopeless? Could you give me some advice? I am trying to follow some guide posted on the gmat forum as hard as possible but even if I can see some improvements I just reduce my mistakes from 12 to 8 when.

Thank you in advance if you can answer my questions,

Alex
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Re: PS questions and question about the gmat books ! [#permalink] New post 10 Sep 2010, 10:26
Expert's post
alexn49 wrote:
Hi everyone!
First of all, I would like to say that it's my first post ont he website! However I am registered to the gmatclub for 3 or 4 months now. Oh and also, I am french (that might explain some english mistake I could do ....)

I have 2 questions:

1) gmat quantitative review 2nd edition question 156 (PS)

"If 4< \frac{(7-x)}{3}, which of the following must be true?

I. 5 < x
II. |x+3| > 2
III. -(x+5) >0
"

Answer :
First of all let's simplify the expression. We obtain : x < -5

I. Obvious that it is not true.
III. Obivous that it is true

II. For me |x + 3| > 2 means that x is in [ -inf; -5] U [-1; +inf]. i.e we don't only have x < -5 which would mean that it is not true (I think).
But as you can see it coming, the answer is that the statement is TRUE. WHY ?????????

I hope I made myself as clear as possible on this question....

2) As I am very studuous, I am working with the three gmat books and the gmatclub tests.
For all the questions of the "gmat quantitative 2nd edition" I got 272/300, i.e. 90.6% (and I am working on a train) which does not seem that bad.
However for the gmatclub test, I am often less than 50% (percentile) and around 9/10 mistakes. My best score is 75%. So as soon as I start doing the gmatclub tests I am feeling really bad, like if I was hopeless....

Is this range normal? Am I hopeless? Could you give me some advice? I am trying to follow some guide posted on the gmat forum as hard as possible but even if I can see some improvements I just reduce my mistakes from 12 to 8 when.

Thank you in advance if you can answer my questions,

Alex


Hi, and welcome to Gmat Club.

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

Pleas post general math questions in the GMAT Math Questions and Intellectual Discussions subforum: gmat-math-questions-and-intellectual-discussions-7/

I split your post. Second part of your question is at: ps-questions-and-question-about-the-gmat-books-100808.html#p779132

As for your PS question:


If 4< \frac{(7-x)}{3}, which of the following must be true?

I. 5 < x
II. |x+3| > 2
III. -(x+5) >0
"

4< \frac{(7-x)}{3} --> x<-5. This info is given to be TRUE.
The question is: which of the following statements MUST be true, taking into the consideration that x<-5.

I. 5 < x --> never true;
III. -(x+5) >0 --> x<-5 always true;

As for II. |x+3|>2: you correctly found the ranges of x for which this inequality holds true: x<-5 or x>-1. So if x<-5 or x>-1 then this inequality holds true. Now, we are told in the stem that x<-5, so this inequality holds true. Or in another words: x could be for example: -6, -7, -10, -11.5, ... ANY such x, which is less than -5, will satisfy |x+3|>2.

Answer: II and III.

Hope it's clear.
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Joined: 18 Jul 2010
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Kudos [?]: 12 [0], given: 6

Re: PS questions and question about the gmat books ! [#permalink] New post 10 Sep 2010, 10:39
Thanks for the quick answer! I thought the statement had to be true over the whole set! Good to know!
And thanks for splitting my subject, sorry for the inconvenience
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Re: PS questions and question about the gmat books ! [#permalink] New post 10 Sep 2010, 10:51
Expert's post
alexn49 wrote:
Thanks for the quick answer! I thought the statement had to be true over the whole set! Good to know!
And thanks for splitting my subject, sorry for the inconvenience


To elaborate more. We could rephrase the question as "does inequality |x+3| > 2 hold true for x<-5?" The answer is YES, so |x+3| > 2 is true for x<-5.
_________________

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: PS questions and question about the gmat books !   [#permalink] 10 Sep 2010, 10:51
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