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

It is currently 09 Dec 2018, 22:29

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Algebra Webinar

     December 09, 2018

     December 09, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.

Which of the following is a solution for 2x^2 + x − 2 = 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51035
Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 19 Feb 2017, 09:10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (00:52) correct 16% (01:15) wrong based on 146 sessions

HideShow timer Statistics

e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2260
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 19 Feb 2017, 09:39
Bunuel wrote:
Which of the following is a solution for 2x^2 + x − 2 = 1?

A. −6
B. −1
C. 1
D. 3/2
E. 3



Hey,

PFB the solution.

    \(2x^2 + x - 2 = 1\)

The above equation can be written as -

    \(2x^2 + x -2 -1 = 0\)
    \(2x^2 + x - 3 = 0\)
    \(2x^2 + 3x - 2x - 3 = 0\)
    \(x( 2x + 3) -1 (2x +3) = 0\)
    \((x - 1) (2x + 3) = 0\)

Therefore either \(x-1 = 0\) which gives \(x =1\) or
\(2x +3 = 0\), which gives \(x = -\frac{3}{2}\)

Since the question asks us, which of the following could be a solution of \(x\), we can confidently say that the answer will be 1, Option C

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)

Image
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Intern
avatar
B
Joined: 07 Apr 2015
Posts: 10
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 19 Feb 2017, 09:41
Move the terms to the left side and set equal to zero------->2x^2+x-3=0

Backsolve for quick solution.

C. 1------>2(1)^2+1-3=0--->2(1)-2=0---->2=2

Answer C.
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2260
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 19 Feb 2017, 09:47
2
For someone who is not comfortable with Quadratic Equations and forming factors, an easy way out would be to use the answer options to get the answer. :)

2x^2 + x -2 = 1

A. \(2(-6)^2 + (-6) - 2\) is not equal to \(1\)
B. \(2(-1)^2 + (-1) - 2\) is not equal to \(1\)
C. \(2(1)^2 + (1) - 2\) is equal to \(1\)
D. \(2(3/2)^2 + (3/2) - 2\) is not equal to \(1\)
E. \(2(3)^2 + (3) - 2\) is not equal to \(1\)

Hence Option C is the correct answer.

Note : Once you confirm that Option C gives us 1, we do not need to check Option D and E. :)

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)

Image
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Intern
User avatar
Joined: 06 Oct 2016
Posts: 4
Location: Germany
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 21 Apr 2017, 01:54
2x2+x−2−1=02x2+x−2−1=0
2x2+x−3=02x2+x−3=0
2x2+3x−2x−3=02x2+3x−2x−3=0
x(2x+3)−1(2x+3)=0x(2x+3)−1(2x+3)=0
(x−1)(2x+3)=0(x−1)(2x+3)=0
x−1=0x−1=0
x=1

Ans:-C
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 25 Apr 2017, 06:54
Bunuel wrote:
Which of the following is a solution for 2x^2 + x − 2 = 1?

A. −6
B. −1
C. 1
D. 3/2
E. 3


Let’s simplify the given equation:

2x^2 + x − 2 = 1

2x^2 + x − 3 = 0

(2x + 3)(x − 1) = 0

2x + 3 = 0

2x = -3

x = -3/2

OR

x - 1 = 0

x = 1

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1202
Re: Which of the following is a solution for 2x^2 + x − 2 = 1?  [#permalink]

Show Tags

New post 01 Nov 2018, 12:58
Bunuel wrote:
Which of the following is a solution for 2x^2 + x − 2 = 1?

A. −6
B. −1
C. 1
D. 3/2
E. 3


\(2x^2 + x − 2 = 1\)

\(2x^2 + x − 2 − 1 = 0\)

\(2x^2 + x − 3 = 0\)

now all i have to do now is test values

clearly only 1 yields 0

\(2 *1^2 + 1 − 3 = 0\)

\(3-3=0\)
GMAT Club Bot
Re: Which of the following is a solution for 2x^2 + x − 2 = 1? &nbs [#permalink] 01 Nov 2018, 12:58
Display posts from previous: Sort by

Which of the following is a solution for 2x^2 + x − 2 = 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.