GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 02 Jul 2020, 05:31 ### 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.  # If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?

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

3
10 00:00

Difficulty:   5% (low)

Question Stats: 91% (00:48) correct 9% (01:19) wrong based on 309 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)

Originally posted by zatspeed on 11 Mar 2015, 19:39.
Last edited by Bunuel on 12 Mar 2015, 05:39, edited 3 times in total.
Renamed the topic, edited the question and added the OA.
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 10623
Location: Pune, India
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

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

##### General Discussion
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

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)

Sorry, I have updated it now.
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16983
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

3
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

GMAT assassins aren't born, they're made,
Rich
_________________
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 10623
Location: Pune, India
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

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

Director  G
Joined: 02 Sep 2016
Posts: 621
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

y=2(1+k)
4(1/y)= 4(1/2(1+k))= 2/(1+k)
Current Student B
Joined: 23 Dec 2013
Posts: 132
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

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  B
Joined: 18 Jan 2017
Posts: 26
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

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 V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10998
Location: United States (CA)
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

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)

_________________

# 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

Non-Human User Joined: 09 Sep 2013
Posts: 15359
Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: If y = 2 + 2K and y#0, then 1/y + 1/y + 1/y + 1/y = ?   [#permalink] 01 Jul 2020, 04:39

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