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# For an employee to qualify for early retirement at a certain

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For an employee to qualify for early retirement at a certain [#permalink]

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25 Nov 2012, 23:12
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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)
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Oct 2013, 02:37, edited 1 time in total.
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Re: For an employee to qualify for early retirement [#permalink]

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26 Nov 2012, 02:48
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.

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
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Re: For an employee to qualify for early retirement [#permalink]

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26 Nov 2012, 03:59
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 ?
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Re: For an employee to qualify for early retirement [#permalink]

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26 Nov 2012, 04:28
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.
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Re: For an employee to qualify for early retirement [#permalink]

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26 Nov 2012, 21:18
This link is really very helpful sir... thanks for this awesome link...
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Re: For an employee to qualify for early retirement at a certain [#permalink]

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17 Feb 2016, 19:41
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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.
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For an employee to qualify for early retirement at a certain [#permalink]

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17 Feb 2016, 19:57
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
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For an employee to qualify for early retirement at a certain   [#permalink] 17 Feb 2016, 19:57
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