GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Nov 2019, 15:34 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # GMAT Question Patterns: Absolute Value

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59147
GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

30
112
GMAT Question Patterns: Absolute 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 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 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.

_________________
Director  Joined: 29 Nov 2012
Posts: 685
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

Great Thread! Haven't noticed this one before...
Intern  Joined: 04 May 2013
Posts: 4
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

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 Math Expert V
Joined: 02 Sep 2009
Posts: 59147
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

2
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.
_________________
Intern  B
Joined: 12 Jun 2015
Posts: 37
Schools: Sloan '19
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

Bunuel wrote:
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.

hey Bunuel ,

Many thanks for this wonderful post and can't thank enough for your "tips , approach and concepts" discussed in each question.
My sincere request , please add the link in your signature....may be under new section called "Concept and Practice" as you are currently having "Resources" and "Collection of Questions".

Are there any other threads for GMAT Patterns?

thanks and regards
Intern  B
Joined: 24 Sep 2016
Posts: 33
Location: United States (CT)
GPA: 3.81
WE: Analyst (Venture Capital)
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

Dont worry the GMAT wont give easy ones like this..... or WOULD THEY Intern  B
Joined: 26 Jan 2018
Posts: 6
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

Bunuel wrote:
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.

Hi Bunuel,

Where can I find all other patterns that have been identified by you or others (if any you are aware of)?

Thanks in advance for our help.

Regards.
Intern  B
Joined: 18 Jul 2018
Posts: 17
Re: GMAT Question Patterns: Absolute Value  [#permalink]

### Show Tags

Very helpful. Are there common "strategy patterns" or "solution patterns" to glean from these question patterns? Re: GMAT Question Patterns: Absolute Value   [#permalink] 26 Aug 2019, 22:08
Display posts from previous: Sort by

# GMAT Question Patterns: Absolute Value  