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Mason and Kathy, who both work in the evening

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sarahl
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Mason and Kathy, who both work in the evening [#permalink] New post   Updated on: 20 Oct 2018, 00:33
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Mason and Kathy, who both work in the evening wish to arrange for an evening off together. Each evening that Mason is off is followed by 3 evenings that he is a work, and each evening that Kathy is off is followed by 5 evenings that she is at work. If Mason will be off this evening, and Kathy will be off tomorrow evening, how many evenings must pass before they have an evening off together?

(A) 10
(B) 12
(C) 24
(D) 28
(E) So long as they continue this working pattern, they will never have the same evening off.
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E

Originally posted by sarahl on 19 Oct 2018, 16:43.
Last edited by Carcass on 20 Oct 2018, 00:33, edited 1 time in total.
Edited by Carcass
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sarahl
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Re: Word Problem! [#permalink] New post   19 Oct 2018, 17:52
I have a problem with this question. any help?
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chetan2u
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Re: Word Problem! [#permalink] New post   19 Oct 2018, 19:50
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sarahl wrote:
Mason and Kathy, who both work in the evening wish to arrange for an evening off together.
Each evening that Mason is off is followed by 3 evenings that he is a work, and each evening
that Kathy is off is followed by 5 evenings that she is at work. If Mason will be off this
evening, and Kathy will be off tomorrow evening, how many evenings must pass before they
have an evening off together?
(A) 10
(B) 12
(C) 24
(D) 28
(E) So long as they continue this working pattern, they will never have the same evening off.


Hi..
There is nothing wrong in it..
Say today is 0th day so , M will be off on 4th day and then on 8th and so on , so multiple of 4 so always EVEN day if today is 0
If today is 0th, tomorrow is 1st and K is off thereafter K is off on each 6th day, so 1,1+6,1+6+6...
Or 1,7,15 thus she is off on ODD days..

So they will never mat h their off days as Even and Odd can never be same

Thus E
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Re: Mason and Kathy, who both work in the evening [#permalink] New post   20 Oct 2018, 00:35
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Please follow the rules for posting https://gre.myprepclub.com/forum/rules-for ... -1083.html AND how to format a question and the use of the timer/OA

https://gre.myprepclub.com/forum/qq-how-to ... -2357.html

Thank you
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Re: Mason and Kathy, who both work in the evening [#permalink] New post   07 Nov 2021, 09:04
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).

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Re: Mason and Kathy, who both work in the evening [#permalink]
07 Nov 2021, 09:04
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