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freetheking
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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 14:19
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A person works 4 days and then takes 2 days break, then the same pattern. If his birthday was 257 days ago, did he work on his birthday?

S1. Today is the second day of his break.
S2. He worked 5 days ago.



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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 14:38
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D

Today is 258th day after his birthday

St1: 258th day - 2nd work day
252nd day - 2nd work day....
Second work days {258,252,..........0}
So on his birthday it was his 3rd work day.: SUFF

St2:
He was working on day 253.
There are two cases
1. When 253 is his first work day
First work days = {253,247......1}. So it was his first work day on his birthday.
2. When 253 is his 4th work day
4th work days = {253,247.......1}. So it was his fourth work day on his birthday.
SUFF
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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 14:57
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What if his birthday was 260days ago??
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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 15:28
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freetheking
What if his birthday was 260days ago??
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But its written in the question:

"If his birthday was 257 days ago"
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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 15:32
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ps_dahiya
freetheking
What if his birthday was 260days ago??
But its written in the question:

"If his birthday was 257 days ago"
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Yeah, you got it right..Great work... I spent some time to figure out how to solve this kind of question..
OA is indeed D..



I was just curious... my guess is if his birth day was 260days ago.. then ans will be A...
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A person works 4 days and then takes 2 days break, then the Updated on: 05 Aug 2006, 00:54
Originally posted by kevincan on 04 Aug 2006, 15:33.
Last edited by kevincan on 05 Aug 2006, 00:54, edited 1 time in total.
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Let's redefine the week, the 6 days are w1, w2, w3, w4, r1 and r2, w- work, r-rest

His birthday was 42 "weeks" and 5 days ago, so if we know what day it is today, his birthday was the next day of the "week" (or the first day of the week if today is the last).

(1) Today was r2, so his birthday was w1- suff

(2) He worked 5 days ago - and as his birthday was exactly 42 "weeks" before 5 days ago, he worked on his birthday, too.

I get that the answer is D. I love this question! Did you make it up?
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A person works 4 days and then takes 2 days break, then the 04 Aug 2006, 16:15
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Source =>my friend.. he took GMAT last week..
freetheking
A person works 4 days and then takes 2 days break, then the same pattern. If his birthday was 257 days ago, did he work on his birthday?

S1. Today is the second day of his break.
S2. He worked 5 days ago.
Show more

I think we can approach this as remainder problem.

w1,w2,w3,w4,b1,b2 => 6

S1. Today is the second day of his break. => sufficient
S2. He worked 5days ago..then his birthday was 257-5=252days ago from that day.
252/6 = 42*6 + 0.. thus sufficient....

D is OA.

4 possible scenarios
1 　　2 　　3 　　4
w1　w2　w3　w4 : w => if a person worked a day, he worked 6n days ago from that day.
w2　w3　w4　b1 : w or b
w3　w4　 b1　b2 : w or b
w4　 b1　 b2　w1 : w or b
b1 　 b2　w1　w2 : w or b
b2　 w1　w2　w3 : w or b　
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A person works 4 days and then takes 2 days break, then the 05 Aug 2006, 16:07
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freetheking
A person works 4 days and then takes 2 days break, then the same pattern. If his birthday was 257 days ago, did he work on his birthday?

S1. Today is the second day of his break.
S2. He worked 5 days ago.
Show more


W W W W B B
Bday 257 days W W W W B B
(1) 252 days are evenly divisble by 6 --> W W W W B B(today)
remaining 5 days W W W B B

Hence his B day was on a work day

AD

(2) He worked 5 days ago W W W W W B(today)
or W W W W W B B(today)

guessing D

Heman
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A person works 4 days and then takes 2 days break, then the 05 Aug 2006, 16:23
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Wow dude I wouldn' get this one right on an exam
Lord have mercy:(



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