Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 14 Oct 2014
Posts: 19

If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
Updated on: 12 Mar 2015, 06:39
Question Stats:
91% (00:48) correct 9% (01:19) wrong based on 276 sessions
HideShow timer Statistics
If y = 2 + 2K and \(y\neq{0}\), then 1/y + 1/y + 1/y + 1/y = ? A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k)
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by zatspeed on 11 Mar 2015, 20:39.
Last edited by Bunuel on 12 Mar 2015, 06:39, edited 3 times in total.
Renamed the topic, edited the question and added the OA.




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9695
Location: Pune, India

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
11 Mar 2015, 20:51
zatspeed wrote: If Y = 2 + 2K and Y(not equal to) 0 , Then 1/Y + 1/Y + 1/Y + 1/Y = ? You should give the options. 1/Y + 1/Y + 1/Y + 1/Y = 4/Y = 4/(2 + 2K) = 2/(1 + K)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >




Intern
Joined: 14 Oct 2014
Posts: 19

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
11 Mar 2015, 21:18
VeritasPrepKarishma wrote: zatspeed wrote: If Y = 2 + 2K and Y(not equal to) 0 , Then 1/Y + 1/Y + 1/Y + 1/Y = ? You should give the options. 1/Y + 1/Y + 1/Y + 1/Y = 4/Y = 4/(2 + 2K) = 2/(1 + K) Sorry, I have updated it now.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15225
Location: United States (CA)

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
11 Mar 2015, 22:58
Hi zatspeed, This prompt can be solved in a couple of different ways. While most Test Takers would probably take an Algebraic approach, you can solve it by TESTing VALUES. We're told that Y = 2 + 2K. We're asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. While I normally would NOT TEST 0 or 1, the answer choices are sufficiently different from one another that using those numbers would not be a problem here.... IF.... K = 0 Y = 2+0 = 2 The answer to the question is 1/2 + 1/2 + 1/2 + 1/2 = 2 So we're looking for an answer that = 2 when K = 0. Answer A: 1/(8+0) = 1/8 This is NOT a match Answer B: 2/(1+0) = 2 This IS a match Answer C: 1/(8+0) = 1/8 This is NOT a match Answer D: 4/(8+0) = 1/2 This is NOT a match Answer E: 4/(1+0) = 4 This is NOT a match Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9695
Location: Pune, India

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
31 Mar 2017, 23:48
VeritasPrepKarishma wrote: zatspeed wrote: If Y = 2 + 2K and Y(not equal to) 0 , Then 1/Y + 1/Y + 1/Y + 1/Y = ? You should give the options. 1/Y + 1/Y + 1/Y + 1/Y = 4/Y = 4/(2 + 2K) = 2/(1 + K) Responding to a pm: Quote: For you last two steps, this involves using the conjugate of the denominator and then recognizing that 1k2 can be expressed as a difference of squares, correct?
The question gives you that \(Y = 2 + 2K\) So you simply substitute that in place of Y in the denominator. \(\frac{4}{Y} = \frac{4}{(2 + 2K)}\) Then just take 2 common from the numerator and denominator to get: \(\frac{4}{(2 + 2K)} = \frac{2*2}{2(1 + K)}\) Cancel off the 2 of the numerator with the 2 of the denominator to get: \(\frac{2*2}{2(1 + K)} = \frac{2}{(1 + K)}\)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Director
Joined: 02 Sep 2016
Posts: 649

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
02 Apr 2017, 23:16
y=2(1+k) 4(1/y)= 4(1/2(1+k))= 2/(1+k)
_________________
Help me make my explanation better by providing a logical feedback.
If you liked the post, HIT KUDOS !!
Don't quit.............Do it.



Manager
Joined: 23 Dec 2013
Posts: 138
Location: United States (CA)
GMAT 1: 710 Q45 V41 GMAT 2: 760 Q49 V44
GPA: 3.76

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
22 Jul 2017, 18:04
zatspeed wrote: If y = 2 + 2K and \(y\neq{0}\), then 1/y + 1/y + 1/y + 1/y = ?
A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) y = 2+2k 1/y +1/y + 1/y+1/y = 4/y 4/(2+2k) = 2/(1+k)



Intern
Joined: 18 Jan 2017
Posts: 29

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
11 Dec 2017, 15:54
zatspeed wrote: If y = 2 + 2K and \(y\neq{0}\), then 1/y + 1/y + 1/y + 1/y = ?
A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) y= 2+ 2k 1/y+1/y+1/y+1/y= 4/y plug 2+2k in for y 4/2+2k> simplify to 2/1+K



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8019
Location: United States (CA)

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
01 Feb 2019, 19:13
zatspeed wrote: If y = 2 + 2K and \(y\neq{0}\), then 1/y + 1/y + 1/y + 1/y = ?
A. 1/(8+8k) B. 2/(1+k) C. 1/(8+k) D. 4/(8+k) E. 4/(1+k) Adding the given fractions we have: 4/y Since y = 2 + 2k, we have: 4/(2 + 2k) = 4/[2(1 + k)] = 2/(1 + k) Answer: B
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Manager
Joined: 22 Dec 2018
Posts: 58
Concentration: Healthcare, International Business
WE: Medicine and Health (Health Care)

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
12 Oct 2019, 10:53
BunuelThis question is from gmatprep. Please tag this one. Thank you!



Math Expert
Joined: 02 Sep 2009
Posts: 58335

Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
Show Tags
12 Oct 2019, 12:05
________________ Done. Thank you.
_________________




Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?
[#permalink]
12 Oct 2019, 12:05






