If y = 2 + 2K and y ≠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)
OA B
Source: GMAT Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ?
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Given: y = 2 + 2kBTGmoderatorDC wrote:If y = 2 + 2k and y ≠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)
Rewrite as: y/1 = (2 + 2k)/1
Flip both fractions to get: 1/y = 1/(2 + 2k)
So, 1/y + 1/y + 1/y + 1/y = 1/(2 + 2k) + 1/(2 + 2k) + 1/(2 + 2k) + 1/(2 + 2k)
= 4/(2 + 2k)
= 4/(2)(1 + k)
= 2/(1 + k)
Answer: B
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Let k=0, implying that y = 2 + 2*0 = 2.BTGmoderatorDC wrote:If y = 2 + 2K and y ≠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)
Plugging y=2 into 1/y + 1/y + 1/y + 1/y, we get:
1/2 + 1/2 + 1/2 + 1/2 = 2.
The correct answer must yield a value of 2 when k=0.
Only B works:
2/(1+k) = 2/(1+0) = 2.
The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
fskilnik@GMATH
- GMAT Instructor
- Posts: 1449
- Joined: Sat Oct 09, 2010 2:16 pm
- Thanked: 59 times
- Followed by:33 members
$$\left. \matrix{BTGmoderatorDC wrote:If y = 2 + 2K and y ≠0, then 1/y + 1/y + 1/y + 1/y = ?
A. 1/(8+8k)
B. 2/(1+k)
C. 1/(8+k)
D. 4/(8+k)
E. 4/(1+k)
Source: GMAT Prep
y = 2\left( {k + 1} \right) \hfill \cr
?\,\,:\,\,\,4\left( {{1 \over y}} \right) = {4 \over y}\,\, = f\left( k \right)\,\,\,\,\, \hfill \cr} \right\}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,? = {4 \over {2\left( {k + 1} \right)}} = {2 \over {k + 1}}$$
This solution follows the notations and rationale taught in the GMATH method.
Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
GMAT/MBA Expert
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi All,
We're told that Y = 2 + 2K and Y ≠0. We're asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. This question can be solved in a number of different ways, including by TESTing VALUES. Since we're adding four fractions with the SAME denominator, we can just use some basic Arithmetic and Algebra rules.
To start, when adding fractions with the same denominator, we add the numerators. For example
1/5 + 1/5 + 1/5 = 3/5
Here, we're adding 1/Y + 1/Y + 1/Y + 1/Y, so we end up with 4/Y. We're told that Y = (2 + 2K). Substituting that value in, we get...
4/(2+2K)
We can then simplify that fraction, giving us...
2/(1+K)
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're told that Y = 2 + 2K and Y ≠0. We're asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. This question can be solved in a number of different ways, including by TESTing VALUES. Since we're adding four fractions with the SAME denominator, we can just use some basic Arithmetic and Algebra rules.
To start, when adding fractions with the same denominator, we add the numerators. For example
1/5 + 1/5 + 1/5 = 3/5
Here, we're adding 1/Y + 1/Y + 1/Y + 1/Y, so we end up with 4/Y. We're told that Y = (2 + 2K). Substituting that value in, we get...
4/(2+2K)
We can then simplify that fraction, giving us...
2/(1+K)
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7245
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Adding the given fractions we have:BTGmoderatorDC wrote:If y = 2 + 2K and y ≠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)
OA B
Source: GMAT Prep
4/y
Since y = 2 + 2k, we have:
4/(2 + 2k) = 4/[2(1 + k)] = 2/(1 + k)
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
