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# If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?

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Intern
Joined: 14 Oct 2014
Posts: 18
If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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Updated on: 12 Mar 2015, 06:39
3
6
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:22) correct 8% (00:43) wrong based on 338 sessions

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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)

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: 8187
Location: Pune, India
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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11 Mar 2015, 20:51
3
2
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

Save up to $1,000 on GMAT prep through 8/20! Learn more here > GMAT self-study has never been more personalized or more fun. Try ORION Free! ##### General Discussion Intern Joined: 14 Oct 2014 Posts: 18 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/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12183 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 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 2 1 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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8187
Location: Pune, India
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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31 Mar 2017, 23:48
1
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 1-k2 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

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Director
Joined: 02 Sep 2016
Posts: 734
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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02 Apr 2017, 23:16
y=2(1+k)
4(1/y)= 4(1/2(1+k))= 2/(1+k)
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Manager
Joined: 23 Dec 2013
Posts: 203
Location: United States (CA)
GMAT 1: 710 Q45 V41
GMAT 2: 760 Q49 V44
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Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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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: 40
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

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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
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ? &nbs [#permalink] 11 Dec 2017, 15:54
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