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GMAT Question Patterns: Abolute Value

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GMAT Question Patterns: Abolute Value [#permalink] New post 03 Apr 2013, 04:10
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GMAT Question Patterns: Abolute Value

We have gone through the GMAT Prep Tests and OG 13 and analyzed all of the questions to spot the most common patterns. This discussion is dedicated to the types of absolute value problems that could appear on the test.

The idea behind this project is to find as many common question patterns as possible for 3 reasons:
  1. Get a higher score - make sure you know how to answer every pattern and you don't miss one of these in your practice
  2. Save Time - you don't need to solve hundreds of questions; you just need to solve a few questions from each pattern and if you answered them correctly, you can move on
  3. Peace of Mind - know that you have covered all known question patterns

Background
  • Most GMAT absolute value problems are encountered in data sufficiency section.
  • Both number plugging method and algebra are suitable to solve absolute value questions.
  • Usually you get 2-3 questions on absolute values on the test (based on GMAT Prep CATs)

Typical questions:
NOTE:
  • The questions below are from OG13 and GMAT Prep. There are 6 questions on absolute value in OG13.
  • The question patterns are listed from most common to least common.


Pattern #1: Absolute Value and Inequalities.

OG13 Practice Questions, question 159
If x is an integer, is x|x|<2^x ?
(1) x < 0
(2) x = -10

Discussed HERE

Is |x-y|>|x|-|y| ?
(1) y < x
(2) xy < 0

Discussed HERE

Is x> 1?
(1) (x+1) (|x| - 1) > 0
(2) |x| < 5

Discussed HERE

Is |x| > |y|?
(1) x^2 > y^2
(2) x > y

Discussed HERE

If x≠0, is |x| < 1 ?
(1) x^2 < 1
(2) |x| < 1/x

Discussed HERE


Pattern #2: Absolute Value and Algebra.

OG13 Practice Questions, question 1
What is the value of |x| ?
(1) x = - |x|
(2) x^2 = 4

Discussed HERE

If x\neq{0}, then \frac{\sqrt{x^2}}{x}=
A. -1
B. 0
C. 1
D. x
E. \frac{|x|}{x}

Discussed HERE

If x<0, then \sqrt{-x|x|} is:
A. -x
B. -1
C. 1
D. x
E. \sqrt{x}

Discussed HERE

Is \sqrt{(x-3)^2}=3-x?
(1) x\neq{3}
(2) -x|x| >0

Discussed HERE



Pattern #3: Must ot Could be true questions with Absolute Value.

OG13 Practice Questions, question 14
If |y-\frac{1}{2}| < \frac{11}{2}, which of the following could be a value of y?
(A) -11
(B) -11/2
(C) 11/2
(D) 11
(E) 22

Discussed HERE

If |x| > 3, which of the following must be true?

I. x > 3
II. X^2 > 9
III. |x-1|>2


A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

Discussed HERE



Pattern #4: Absolute Value and Distance.

OG13 Practice Questions, question 24
Image
Of the five coordinates associated with points A, B, C, D, and E on the number line above, which has the greatest absolute value?
(A) A
(B) B
(C) C
(D) D
(E) E

Discussed HERE

OG13 Practice Questions, question 143
Image
Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

Discussed HERE

If s and t are two different numbers on the number line, is s + t = 0 ?
(1) Distance between s and 0 is the same as distance between t and 0
(2) 0 is between s and t

Discussed HERE



Pattern #5: Min/Max and Absolute Value.

OG13 Practice Questions, question 51
If y is an integer, then the least possible value of |23 - 5y| is
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Discussed HERE



Theory on absolute value is HERE.
All OG13 questions with solutions are HERE.
PS absolute value questions are HERE.
DS absolute value questions are HERE.
700+ absolute value questions HERE.

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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

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Re: GMAT Question Patterns: Abolute Value [#permalink] New post 21 Jul 2013, 05:35
Great Thread! Haven't noticed this one before...
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Re: GMAT Question Patterns: Abolute Value [#permalink] New post 15 Dec 2013, 05:53
Hi there,

can I just ask you - are there any other threads for GMAT Patterns beside Arithmetic, Absolute value and Reminders? I found them extremely helpful, but cannot find any other topic covered. Thank you for your answer ;)
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Re: GMAT Question Patterns: Abolute Value [#permalink] New post 16 Dec 2013, 01:24
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mayabbi wrote:
Hi there,

can I just ask you - are there any other threads for GMAT Patterns beside Arithmetic, Absolute value and Reminders? I found them extremely helpful, but cannot find any other topic covered. Thank you for your answer ;)


We are working on other patterns. Will publish in a while.
_________________

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: GMAT Question Patterns: Abolute Value   [#permalink] 16 Dec 2013, 01:24
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