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

 It is currently 20 Feb 2019, 16:30

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53020
For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh  [#permalink]

### Show Tags

14 Jan 2019, 01:43
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:49) correct 4% (00:59) wrong based on 39 sessions

### HideShow timer Statistics

For all integers m and n, where m ≠ n, $$m↑n = |\frac{m^2 - n^2}{m - n}|$$. What is the value of (–2)↑4?

A. 10
B. 8
C. 6
D. 2
E. 0

_________________
SVP
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh  [#permalink]

### Show Tags

14 Jan 2019, 01:52
Bunuel wrote:
For all integers m and n, where m ≠ n, $$m↑n = |\frac{m^2 - n^2}{m - n}|$$. What is the value of (–2)↑4?

A. 10
B. 8
C. 6
D. 2
E. 0

using the expression solve for values of
we would get
2 IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Manager
Joined: 13 Jan 2018
Posts: 226
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh  [#permalink]

### Show Tags

14 Jan 2019, 03:45
m↑n=|$$\frac{m^2−n^2}{m−n}$$|

(–2)↑4 = $$|\frac{(-2)^2 - (4)^2}{-2 - 4}|$$

= $$|\frac{4 - 16}{-6}|$$

= $$|\frac{-12}{-6}|$$

= |-2|

= 2

OPTION: D
_________________

____________________________
Regards,

Chaitanya

+1 Kudos

if you like my explanation!!!

Manager
Joined: 22 May 2017
Posts: 120
Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh  [#permalink]

### Show Tags

20 Jan 2019, 07:59
simplify the modulus

|(m^2 -n^2) / (m-n)| = |(m+n)(m-n) / m-n| = |m+n| = |-2+4| = |2|
_________________

-------------------------------------------------------------------------------------------------
Don't stop when you are tired , stop when you are DONE .

VP
Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh  [#permalink]

### Show Tags

20 Jan 2019, 08:27
Bunuel wrote:
For all integers m and n, where m ≠ n, $$m↑n = |\frac{m^2 - n^2}{m - n}|$$. What is the value of (–2)↑4?

A. 10
B. 8
C. 6
D. 2
E. 0

Simple expansion of $$m^2 - n^2$$ = (m-n) (m+n), can help us in solving the question

$$m↑n = |\frac{m^2 - n^2}{m - n}|$$

$$m↑n = |\frac{(m-n) (m+n)}{m - n}|$$

$$m↑n = |(m+n)|$$

$$-2 ↑4 = |-2 + 4|$$

_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh   [#permalink] 20 Jan 2019, 08:27
Display posts from previous: Sort by