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This year, a woman has a lucrative one-year position. During this year

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Carcass
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This year, a woman has a lucrative one-year position. During this year [#permalink] New post   24 May 2021, 04:04
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60% (02:47) correct 40% (02:55) wrong based on 25 sessions

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This year, a woman has a lucrative one-year position. During this year, she will give a fraction f of her salary to her husband, a private investor, to invest and they will live this year on the remainder. Through investments, her husband can turn each dollar she gives him into 1 + r, which will be deposited in a bank account. Their goal is to save & invest enough money so they can live off this money for two years following the end of the wife's position. Toward this end, they want to choose f such that the amount in the account at the end of the year is twice what they lived off this year. In terms of r, what should f be?


A. 1/(r+1)

B. 2/(r+2)

C. 2/(2r+1)

D. 2/(r+3)

E. 2/(2r+3)
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D
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Re: This year, a woman has a lucrative one-year position. During this year [#permalink] New post   29 May 2021, 03:09
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Carcass wrote:
This year, a woman has a lucrative one-year position. During this year, she will give a fraction f of her salary to her husband, a private investor, to invest and they will live this year on the remainder. Through investments, her husband can turn each dollar she gives him into 1 + r, which will be deposited in a bank account. Their goal is to save & invest enough money so they can live off this money for two years following the end of the wife's position. Toward this end, they want to choose f such that the amount in the account at the end of the year is twice what they lived off this year. In terms of r, what should f be?


A. 1/(r+1)

B. 2/(r+2)

C. 2/(2r+1)

D. 2/(r+3)

E. 2/(2r+3)


Let her salary be T
Husband receives f
Leftover = (T−f)

As the husband receives (1+r) dollars for each dollar invested. At the end of year, they must have f(1+r) dollars.

Now, as per the question:
f(1+r)=2(T−f)
f(1+r)=2T−2f
f(1+r)+2f=2T
f(3+r)=2T
f=2T(r+3)

Hence, option D
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Re: This year, a woman has a lucrative one-year position. During this year [#permalink] New post   17 Feb 2023, 14:12
Carcass is this really a GRE question??? It took me more than a minute to read it, time management says I must spent 2 minutes to answer such question
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Re: This year, a woman has a lucrative one-year position. During this year [#permalink] New post   17 Feb 2023, 16:49
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This is a really good question.

From the time management standing point, we should keep in mind that time is always on average. So, if you take for example 2.30 minutes is not the end of the world to solve such lengthy questions.

On the other side, I have never seen such kind of question in the entire official material even produced by ETS.

Therefore, If I have to pick a definitive answer to reply to your question, my pick is, in my personal opinion, NO.

Aside from the fact that many words are just filler. We could say the same things with almost half stem
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Re: This year, a woman has a lucrative one-year position. During this year [#permalink] New post   30 May 2024, 12:20
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
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Re: This year, a woman has a lucrative one-year position. During this year [#permalink]
30 May 2024, 12:20
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