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

 It is currently 20 Mar 2019, 17:08 ### 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. ### Request Expert Reply # If x-y= R and xy=S, then (x-2)(y+2)=

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

### Hide Tags

Board of Directors P
Joined: 01 Sep 2010
Posts: 3367
If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

2
Top Contributor
8 00:00

Difficulty:   5% (low)

Question Stats: 87% (01:18) correct 13% (01:45) wrong based on 608 sessions

### HideShow timer Statistics

If x-y= R and xy=S, then (x-2)(y+2)=

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 53738
Re: If x-y= R and xy=S, then (x-2)(y-2)=  [#permalink]

### Show Tags

2
1
If x-y= R and xy=S, then (x-2)(y+2)=

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

$$(x-2)(y+2)=xy +2x-2y-4=xy+2(x-y)-4=S+2R-4$$.

_________________
Verbal Forum Moderator V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2234
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

1
carcass wrote:
If x-y= R and xy=S, then (x-2)(y+2)=

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

(x-2)(y+2) = xy +2x - 2y -4
=xy +2(x-y) -4
=S + 2R - 4

_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Senior Manager  B
Joined: 28 Jun 2015
Posts: 290
Concentration: Finance
GPA: 3.5
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

(x-2) (y+2) = xy - 2y + 2x - 4

x-y = R, xy = S

xy - 2y + 2x - 4 = S + 2(x-y) - 4 = S + 2R - 4. Ans - D.
_________________

I used to think the brain was the most important organ. Then I thought, look what’s telling me that.

Director  P
Joined: 13 Mar 2017
Posts: 704
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

1
carcass wrote:
If x-y= R and xy=S, then (x-2)(y+2)=

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

x-y = R
xy = S
(x-2)(y+2) = xy - 2y + 2x -4 = xy + 2(x-y) - 4
= S + 2R - 4

_________________

CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Target Test Prep Representative P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5375
Location: United States (CA)
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

carcass wrote:
If x-y= R and xy=S, then (x-2)(y+2)=

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

(x-2)(y+2)

= xy + 2x - 2y - 4

= xy + 2(x - y) - 4

= S + 2R - 4

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Manager  B
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

I made a frivulous mistake in hurry and picked B.

I solved xy+2(x-y)-4
But in hurry picked R+2S-4 Instead of S+2R-4.
Manager  B
Joined: 21 Jun 2017
Posts: 83
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

1. (x-2)(y+2)
2. xy + 2x -2y - 4 (order of operations/multiplication/parenthesis)

3. xy = S; 2x - 2y = 2R, for R = x - y; and - 4 stays the same
4. xy + 2x - 2y - 4 ----> S + 2R - 4

Ans = (D) 2R + S - 4
CEO  V
Joined: 12 Sep 2015
Posts: 3513
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

Top Contributor
carcass wrote:
If x-y= R and xy=S, then (x-2)(y+2) =

A. R+S-4

B. R+2S -4

C. 2R - S -4

D. 2R + S - 4

E. R + S

Another approach is to assign some values for x and y.

Let's say that x = 5 and y = 2
This means R = 3 and S = 10

We must determine the value of (x - 2)(y + 2)
Plug in x = 5 and y = 2 to get: (x - 2)(y + 2) = (5 - 2)(2 + 2) = (3)(4) = 12

Now take each answer choices to see which one gives us an OUTPUT of 12.

A. R + S - 4 = 3 + 10 - 4 = 9. ELIMINATE

B. R + 2S - 4 = 3 + 2(10) - 4 =19. ELIMINATE

C. 2R - S - 4 = 2(3) - 10 - 4 = -8. ELIMINATE

D. 2R + S - 4 = 2(3) + 10 - 4 = 12 KEEP

E. R + S = 3 + 10 = 13. ELIMINATE

RELATED VIDEO

_________________

Test confidently with gmatprepnow.com Manager  G
Joined: 06 Sep 2018
Posts: 175
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
WE: Engineering (Other)
Re: If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

$$(x-2)(y+2)=xy+2x-2y-4$$
$$xy+2(x-y)-4$$
$$S+2R-4$$
$$2R+S-4$$

_________________

Hitting Kudos is the best way of appreciation. Eric Thomas, "When you want to succeed as bad as you want to breathe, then you'll be successful."

Senior Manager  G
Joined: 29 Dec 2017
Posts: 385
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37 GPA: 3.25
WE: Marketing (Telecommunications)
If x-y= R and xy=S, then (x-2)(y+2)=  [#permalink]

### Show Tags

Let x=2 and y=1. Then: 2-1=1 (R) and 2*1=2 (S).

(x−2)(y+2) = (2−2)(1+2) = 0.

So we know that when 1 = (R) and 2 = (S), the equation = 0. Option D: 2R+S−4 = 2*1+2-4 = 0. If x-y= R and xy=S, then (x-2)(y+2)=   [#permalink] 08 Sep 2018, 17:19
Display posts from previous: Sort by

# If x-y= R and xy=S, then (x-2)(y+2)=

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