GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Sep 2018, 10:48

### 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

# To be eligible for retirement benefits at the Omega

Author Message
TAGS:

### Hide Tags

Intern
Joined: 15 Oct 2007
Posts: 14
To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

Updated on: 26 Nov 2012, 03:29
2
9
00:00

Difficulty:

65% (hard)

Question Stats:

52% (01:14) correct 48% (01:26) wrong based on 295 sessions

### HideShow timer Statistics

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?

A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

Originally posted by mistahfold on 15 Oct 2007, 23:30.
Last edited by Bunuel on 26 Nov 2012, 03:29, edited 2 times in total.
Intern
Joined: 27 Sep 2007
Posts: 16

### Show Tags

16 Oct 2007, 10:22
1
in task they are talking about present age, but x is defined as age when hired. You have to add y to x to receive the present age and once more to add y to receive 70.
So that's D.
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 542
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

23 Jan 2012, 13:34
1
Employee's age + years of employment = 70
At the joining his age was y years and he did job y years. So, the employee's current age = y+y = 2y
(employee's age when hired + years of employment) + years of employment = 70
(x + y ) + y =70
x + 2y =70
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Intern
Joined: 19 Jun 2011
Posts: 35
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

23 Jan 2012, 15:05
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins
Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

23 Jan 2012, 18:04
3
1
AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

_________________
Manager
Joined: 20 Jul 2012
Posts: 140
Location: India
WE: Information Technology (Computer Software)
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

14 Oct 2013, 10:33
Bunuel wrote:
AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

Hi Bunuel.. I couldn't understand that after having y years of experience how is the person left with y employment years only..If we take numerical values how can both the 'y' be same? Guess i din't understand the question well..Can you please explain it a bit more
Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

17 Oct 2013, 03:42
akankshasoneja wrote:
Bunuel wrote:
AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

Hi Bunuel.. I couldn't understand that after having y years of experience how is the person left with y employment years only..If we take numerical values how can both the 'y' be same? Guess i din't understand the question well..Can you please explain it a bit more

Let me ask you a question: if a person was hired y years ago, how many years of employment does he have NOW?

Similar questions to practice:
for-an-employee-to-qualify-for-early-retirement-at-a-certain-143060.html
a-certain-company-retirement-plan-has-a-rule-of-109708.html

Hope this helps.
_________________
Manager
Joined: 20 Jul 2012
Posts: 140
Location: India
WE: Information Technology (Computer Software)
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

21 Oct 2013, 10:40
Bunuel wrote:

Let me ask you a question: if a person was hired y years ago, how many years of employment does he have NOW?

Similar questions to practice:
for-an-employee-to-qualify-for-early-retirement-at-a-certain-143060.html
a-certain-company-retirement-plan-has-a-rule-of-109708.html

Hope this helps.

he will have y yrs of employment... got the question... thanks..
Intern
Joined: 22 Feb 2017
Posts: 15
Location: India
GPA: 3.6
WE: Engineering (Manufacturing)
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

28 Apr 2017, 07:16
mistahfold wrote:
To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?

A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

D is the answer.. x is the age when employee was hired & y is no. of minimum years he must serve to get the benefits...so, present age of the employee=x+y...now, according to the the question the eligibility criteria to get benefits is sum of present age & years of service ,i.e, (x+y)+y =>x+2y... hope it helps
Manager
Joined: 14 May 2015
Posts: 52
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

03 May 2017, 15:37
x=age when he started work
y=work experience
employee present age+ work experience=70
(x+y)+y=70
x+2y=70
Senior Manager
Joined: 29 Jun 2017
Posts: 487
GPA: 4
WE: Engineering (Transportation)
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

04 Sep 2017, 08:57
Ans is D:

current age $$= x$$
age at retirement = current age + number of years worked $$= x+ y$$
for benefit employer age + number of year worked $$>= 70$$
which implies , $$x+y + y >= 70$$
therefore $$x+2y >=70$$
Hence Option D
_________________

Give Kudos for correct answer and/or if you like the solution.

Senior Manager
Joined: 02 Jul 2017
Posts: 294
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

04 Sep 2017, 09:34
Given age at time of employment = x
person need to have y years of experience to gain benefit.

Now->
at age x time of employment exp = 0 years

at age x -> exp =0
at age x+1 -> exp =1
at age x+2 -> exp =2
|
so on
|
at age x+y -> exp =y

As minimum exp required for benefit is y..... that time employee age becomes x+y

Now given age of employee +experience years = 70
(x+y) + y = 70
x+2y = 70

Intern
Joined: 26 Jul 2014
Posts: 6
To be eligible for retirement benefits at the Omega  [#permalink]

### Show Tags

08 Jan 2018, 10:44
Hi Bunuel,

I am having trouble with this question.
I understand that x stays for y years, x will be x+y years old and x stayed y years, hence the equation x+2y.
But isnt x+2y always greater than 70?

To sum up my question, shouldn't the answer be x+2y > 70.
To be eligible for retirement benefits at the Omega &nbs [#permalink] 08 Jan 2018, 10:44
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.