Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:18) correct
9%
(01:44)
wrong
based on 2135
sessions
History
Date
Time
Result
Not Attempted Yet
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
_________________
A. R+S-4
B. R+2S -4
C. 2R - S -4
D. 2R + S - 4
E. R + S
_________________
Free Materials for the GRE General Exam - Where to get it!!
GMAT FE - COLLECTION OF QUESTIONS AND RESOURCES
QUANT: 1. ALL GMATPrep questions Quant/Verbal-2. Bunuel Signature Collection - The Next Generation-3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS
4. MGMAT Study Hall Thursdays with Ron Quant Videos
VERBAL:1. Verbal question bank and directories by Carcass-2. Critical Reasoning_Oldy but goldy question banks-3. Reading-comprehension_Oldy but goldy question banks
GMAT FE - COLLECTION OF QUESTIONS AND RESOURCES
QUANT: 1. ALL GMATPrep questions Quant/Verbal-2. Bunuel Signature Collection - The Next Generation-3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS
4. MGMAT Study Hall Thursdays with Ron Quant Videos
VERBAL:1. Verbal question bank and directories by Carcass-2. Critical Reasoning_Oldy but goldy question banks-3. Reading-comprehension_Oldy but goldy question banks
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
\((x-2)(y+2)=xy +2x-2y-4=xy+2(x-y)-4=S+2R-4\).
Answer: D.
_________________
A. R+S-4
B. R+2S -4
C. 2R - S -4
D. 2R + S - 4
E. R + S
\((x-2)(y+2)=xy +2x-2y-4=xy+2(x-y)-4=S+2R-4\).
Answer: D.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Posts: 6,727
Updated on: 19 Jan 2020, 12:48
Originally posted by BrentGMATPrepNow on 18 Mar 2018, 11:15.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 12:48, edited 1 time in total.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 12:48, edited 1 time in total.
carcass
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
Answer: D
General Discussion
Skywalker18
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 1,969
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
Posts: 1,969
carcass
(x-2)(y+2) = xy +2x - 2y -4
=xy +2(x-y) -4
=S + 2R - 4
Answer D
Posts: 237
(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.
x-y = R, xy = S
xy - 2y + 2x - 4 = S + 2(x-y) - 4 = S + 2R - 4. Ans - D.
shashankism
Joined: 13 Mar 2017
Last visit: 29 Jun 2026
Posts: 612
Affiliations: IIT Dhanbad
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Posts: 612
carcass
x-y = R
xy = S
(x-2)(y+2) = xy - 2y + 2x -4 = xy + 2(x-y) - 4
= S + 2R - 4
Answer D
_________________
Nothing is Impossible, Even Impossible says I'm possible.
ScottTargetTestPrep
Expert
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 11 Sep 2026
Posts: 22,738
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Posts: 22,738
carcass
(x-2)(y+2)
= xy + 2x - 2y - 4
= xy + 2(x - y) - 4
= S + 2R - 4
Answer: D
_________________
Scott Woodbury-Stewart | Founder and
CEO |
[email protected]
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
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.
I solved xy+2(x-y)-4
But in hurry picked R+2S-4 Instead of S+2R-4.
Posts: 56
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
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
HasnainAfxal
Joined: 06 Sep 2018
Last visit: 12 Mar 2022
Posts: 124
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
WE:Engineering (Other)
Products:
Posts: 124
\((x-2)(y+2)=xy+2x-2y-4\)
\(xy+2(x-y)-4\)
\(S+2R-4\)
\(2R+S-4\)
Answer D
\(xy+2(x-y)-4\)
\(S+2R-4\)
\(2R+S-4\)
Answer D
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.
(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.
Why are (y=2 and x=1) not working?
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,880
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,880
carcass
Plug in and solve
Let x = 3 & y = 1 , So R = 2 & S = 3
Thus, (x-2)(y+2) = 1*3 => 3
Now, check the options -
(A) R+S-4 = 1
(B) R+2S -4 = 4
(C) 2R - S -4 = -3
(D) 2R + S - 4 = 3
(E) R + S = 5
Thus, Answer must be (D) 3
_________________
Kinshook
Major Poster
Joined: 03 Jun 2019
Last visit: 12 Sep 2026
Posts: 6,128
Location: India
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
carcass
Asked: If x-y= R and xy=S, then (x-2)(y+2)=
(x-2)(y+2)= xy + 2x - 2y - 4 = S + 2R - 4
IMO D
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
If this question felt shaky,
try an adaptive mini quiz of similar problems in
GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.