NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 16:14 It is currently 25 Apr 2024, 16:14
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

For an employee to qualify for early retirement at a certain

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
avatar
ritumaheshwari02
Intern
Intern
Joined: 24 Nov 2012
Posts: 21
Own Kudos [?]: 213 [10]
Given Kudos: 0
Send PM
For an employee to qualify for early retirement at a certain [#permalink] New post   Updated on: 17 Oct 2013, 03:37
10
Bookmarks
00:00
A
B
C
D
E

Difficulty:

75% (hard)

Question Stats:

55% (02:12) correct 45% (02:13) wrong based on 158 sessions
Hide Show timer Statistics
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)
ShowHide Answer
Official Answer
C

Originally posted by ritumaheshwari02 on 26 Nov 2012, 00:12.
Last edited by Bunuel on 17 Oct 2013, 03:37, edited 1 time in total.
Added the OA.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619022 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: For an employee to qualify for early retirement [#permalink] New post   26 Nov 2012, 03:48
1
Bookmarks
Expert Reply
ritumaheshwari02 wrote:
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)


Say Sue was hired when she was already 70 years old (k=70), then she could retire right away, at the age of 70. Now, plug k=70 in the answer choices and see which yields 70. Only C fits.

Answer: C.

Similar questions to practice:
a-certain-company-retirement-plan-has-a-rule-of-109708.html
to-be-eligible-for-retirement-benefits-at-the-omega-53970.html
avatar
ritumaheshwari02
Intern
Intern
Joined: 24 Nov 2012
Posts: 21
Own Kudos [?]: 213 [0]
Given Kudos: 0
Send PM
Re: For an employee to qualify for early retirement [#permalink] New post   26 Nov 2012, 04:59
Thank You Sir... I got it.

Sir please let me know is there any short cut method to slove below problem.

How many different positive factors does the integer 360 have, including 1 and 360 ?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619022 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: For an employee to qualify for early retirement [#permalink] New post   26 Nov 2012, 05:28
Expert Reply
ritumaheshwari02 wrote:
Thank You Sir... I got it.

Sir please let me know is there any short cut method to slove below problem.

How many different positive factors does the integer 360 have, including 1 and 360 ?


360=2^3*3^2*5 --> the number of factor is (3+1)(2+1)(1+1)=24. Check here: math-number-theory-88376.html

Also, please post new questions in separate topics.
avatar
ritumaheshwari02
Intern
Intern
Joined: 24 Nov 2012
Posts: 21
Own Kudos [?]: 213 [0]
Given Kudos: 0
Send PM
Re: For an employee to qualify for early retirement [#permalink] New post   26 Nov 2012, 22:18
This link is really very helpful sir... thanks for this awesome link...
User avatar
P
mvictor
Board of Directors
Joined: 17 Jul 2014
Posts: 2163
Own Kudos [?]: 1180 [2]
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
Send PM
GMAT ToolKit User Reviews Badge
Re: For an employee to qualify for early retirement at a certain [#permalink] New post   17 Feb 2016, 20:41
1
Kudos
1
Bookmarks
what a tough one..took me some time to solve.
suppose
k=20
after 10 years of experience:
30 years, 10 experience = 40 - not enoguh
10 more years
40 years, 20 years experience = 60 total - not enough
5 more years
45 years, 25 experience = 70 total.
so at 45 she can retire.

plug in values
A: K+35 = 55. out
B: 2K+35 = 75 - out
C: (70+20)/2 = 45 - hold
D: (70-20)/2 = 25 - out
E: 2(70-20)=100 - OUT.

only C works.
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31933 [1]
Given Kudos: 290
Send PM
Reviews Badge
For an employee to qualify for early retirement at a certain [#permalink] New post   17 Feb 2016, 20:57
1
Kudos
Expert Reply
ritumaheshwari02 wrote:
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)


HI,
If we get hang of what is asked, we can easily do the Q..

INFO FROM Q


1) the sum of age and service should be atleast 70
2) Sue was K yrs old when hired..

WHAT has to be found


minimum age when Sue can retire?
what does this mean- it means she retires at exactly when total is 70.....

SOLUTION


1. Sue's age= k..
so she has to cover remaining period 70-k..

2. in how much time can she cover this= (70-k)/2
WHY?..
because EACH year accounts for TWO years increase, one in AGE and one in SERVICE...

3. so Sue after joining at age of K years can take earliest retirement after (70-k)/2 years..

4. what will be her age then--
k+ (70-k)/2 = (2k+70-k)/2= (70+k)/2..

C
User avatar
G
RMD007
Manager
Manager
Joined: 03 Jul 2016
Status:Countdown Begins...
Posts: 242
Own Kudos [?]: 144 [3]
Given Kudos: 80
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User Reviews Badge
Re: For an employee to qualify for early retirement at a certain [#permalink] New post   08 Mar 2017, 07:42
2
Kudos
1
Bookmarks
Tricky question!!

Lets say sue served for x years to qualify for early retirement.

so sue's age at that time is - k+x

As per the given rule - Age (k+x) + year of service(x) = 70
k+x+x = 70
k+2x = 70
x =\(\frac{(70-k)}{2}\)

But we need sue's age not the minimum number of year of service.
age = k+x = k+\(\frac{(70-k)}{2}\)=\(\frac{(70+k)}{2}\).
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6275 [0]
Given Kudos: 1646
Send PM
Re: For an employee to qualify for early retirement at a certain [#permalink] New post   10 Mar 2017, 10:38
Expert Reply
ritumaheshwari02 wrote:
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)


If we let n = the number of years Sue works at the company that could qualify her for early retirement, then her minimum retirement age is K + n and we see that:

(K + n) + n = 70

Note that n is doubled in the equation; this is due to the fact that for each additional year that she works for the company, her age has one more year, but so does the number of years she has worked for the company.

K + 2n = 70

n = (70 - K)/2

Thus, Sue’s minimum age is:

K + (70 - K)/2 = 2K/2 + (70 - K)/2 = (70 + K)/2

Answer: C
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7627 [0]
Given Kudos: 215
Location: India
Send PM
Re: For an employee to qualify for early retirement at a certain [#permalink] New post   10 Mar 2017, 12:00
Top Contributor
Hi Ritumaheshwari02,

This question can be easily solved by using simple logic. The question states that an employee qualifies for early retirement if the sum of the employee’s age and years of service must be at least 70.

To qualify for early retirement

Age of employee now + Years of Service >= 70 ------> 1

Now think about what exactly is Years of Service,

Years of service = Age of the employee now - Age of the employee at the time of Joining -----> 2

Substituting 2 in 1 we get

Age of employee now + Age of employee now - Age of employee at the time of joining >= 70

2 Age of employee now - Age of employee at the time of joining >= 70

We have been given the age of Sue at the time of joining as 'K'

2 Age of employee now - K >= 70

2Age of employee now >= 70 + K -----> Age of employee now > = (70 + K)/2

Hope this helps!

CrackVerbal Academics Team
avatar
Mia961
Intern
Intern
Joined: 12 Feb 2020
Posts: 6
Own Kudos [?]: 2 [0]
Given Kudos: 16
Send PM
Re: For an employee to qualify for early retirement at a certain [#permalink] New post   17 Feb 2020, 04:56
ritumaheshwari02 wrote:
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)


If sue is 10 years old when she started working -->
k=10
Shes still needs 70-10 = 60 years <=> 70-k
During these 60 years she grows n years and gain n years of experience
--> 2n= 60 n= 30 and <=> (70-k)/2
her age by the time is
k'=10+30= 40 <=> k + (70-k)/2 = (2k+70-k)/2 = (70+k)/2

Answer C
GMAT Club Bot
gmatclubot
Re: For an employee to qualify for early retirement at a certain [#permalink]
17 Feb 2020, 04:56
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions