Join us for MBA Spotlight – The Top 20 MBA Fair      Schedule of Events | Register

 It is currently 06 Jun 2020, 07:25

### 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

# Given that m = n + 2, what is the value of m^2 − 4m + 4?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64318
Given that m = n + 2, what is the value of m^2 − 4m + 4?  [#permalink]

### Show Tags

24 Jan 2016, 05:19
2
6
00:00

Difficulty:

45% (medium)

Question Stats:

53% (01:10) correct 47% (01:11) wrong based on 174 sessions

### HideShow timer Statistics

Given that m = n + 2, what is the value of m^2 − 4m + 4?

(1) n = 20
(2) n^2 = 400

_________________
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 9032
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Given that m = n + 2, what is the value of m^2 − 4m + 4?  [#permalink]

### Show Tags

25 Jan 2016, 16:54
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Given that m = n + 2, what is the value of m^2 − 4m + 4?

(1) n = 20
(2) n^2 = 400

When you modify the original condition, they become m=n+2 -> m-2=n, which also becomes m^2 − 4m + 4=(m-2)^2=n^2.

-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only \$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4889
GMAT 1: 770 Q49 V46
Re: Given that m = n + 2, what is the value of m^2 − 4m + 4?  [#permalink]

### Show Tags

24 Jan 2018, 14:48
Top Contributor
Bunuel wrote:
Given that m = n + 2, what is the value of m^2 − 4m + 4?

(1) n = 20
(2) n² = 400

Given: m = n+2

Target question: What is the value of m² - 4m + 4?
This is a good candidate for rephrasing the target question.

Aside: We have a video (below) with tips on rephrasing the target question

Take the expression m² - 4m + 4 and factor it to get: (m - 2)(m - 2), which is the same as (m - 2)²
So, the target question is really asking us to find the value of (m - 2)²
However, we can take this even farther.
Since we're told that m = n+2, we can rewrite this equation as m-2 = n
Now take the expression (m - 2)² and replace m-2 with n to get:
Perfect!
Now, we can REPHRASE the target question....
REPHRASED target question: What is the value of n² ?

Statement 1: n = 20
This means n² = (20)² = 400
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: n² = 400
This is EXACTLY what we need!
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Non-Human User
Joined: 09 Sep 2013
Posts: 15104
Re: Given that m = n + 2, what is the value of m^2 − 4m + 4?  [#permalink]

### Show Tags

05 Mar 2019, 06:35
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Given that m = n + 2, what is the value of m^2 − 4m + 4?   [#permalink] 05 Mar 2019, 06:35