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How many weeks was the Carnival open last year? (1) The

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How many weeks was the Carnival open last year? (1) The [#permalink] New post 02 Jun 2009, 22:15
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A
B
C
D
E

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How many weeks was the Carnival open last year?

(1) The ratio between the number of weeks it was open and closed last year is 1:3.

(2) The multiple of the number of weeks the Carnival was open and the number of weeks the Carnival was closed is 507.
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Re: Tough DS 5 [#permalink] New post 02 Jun 2009, 22:50
the answer is C,

1, insuffucient X/y = 1/3 =>3X = Y but no idea of the x,y
2, insufficient.. x*y*k = 507 = 3*13*13

when k = 1, x=3 and y = 39 or x = 39 or y = 3

combining 1 and 2 ,

3x^2 K = 507
x^2 K = 169..

when k = 1, X = 13, y = 39/...

Whats the OA ?
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Re: Tough DS 5 [#permalink] New post 02 Jun 2009, 22:52
Hades wrote:
How many weeks was the Carnival open last year?

(1) The ratio between the number of weeks it was open and closed last year is 1:3.

(2) The multiple of the number of weeks the Carnival was open and the number of weeks the Carnival was closed is 507.


C

x=open
y=closed
x/y=1/3
xy=507
3x^2=507
x=13
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Re: Tough DS 5 [#permalink] New post 02 Jun 2009, 22:55
Good attempts 8-)
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Re: Tough DS 5 [#permalink] New post 02 Jun 2009, 23:08
Hades wrote:
Good attempts 8-)


must be E..there are only 52 weeks in a year

52 factors to 13*2*2...no combo will give you 1/3 so cant be A
507 factors to 13*13*3 ...no sum adds to 52, cant be B

did you make this question up?
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Re: Tough DS 5 [#permalink] New post 03 Jun 2009, 08:07
How many weeks was the Carnival open last year?

(1) The ratio between the number of weeks it was open and closed last year is .

(2) The multiple of the number of weeks the Carnival was open and the number of weeks the Carnival was closed is 507.


Answer D
1 - one year -52 weeks
the ratio ==> x:3x

4x=52
x=52/4 =13

2.507=3x13x13
we can derive from B also. Number of weeks when open + number of weeks when closed should be 52 and change the multiples.

As 507 is a multiple 0f 13 and 52 is a multiple of 13, we can solve from stat 2.
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Re: Tough DS 5 [#permalink] New post 03 Jun 2009, 08:30
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X - # of weeks open
Y - # of weeks closed

X + Y = 52 (inferred)

Question:(X?)

(1) X/Y = 1/3

2 linear equations, 2 variables \longrightarrow SUFFICIENT .

(2) XY = 507

Rearrange inferred equation to Y = 52-X and substitute into above

X(52-X) = 507
52X - X^{2} = 507
X^{2} - 52X + 507 = 0
X^{2} - 13X - 39X + 507 = 0
X(X - 13) - 39(X - 13) = 0
(X - 13)(X - 39) = 0

\longrightarrow X=13 or X=39
\longrightarrow INSUFFICIENT.



Final Answer, A.

\surd
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Re: Tough DS 5 [#permalink] New post 03 Jun 2009, 14:57
Thanks amolsk.

And yes bigtreezl, I actually did. My questions are sneaky MF'ers.
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Re: Tough DS 5 [#permalink] New post 03 Jun 2009, 22:04
i am sure i am gonna leave out such ones..

Hades, What is the source of such brilliant questions ..?
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Re: Tough DS 5 [#permalink] New post 03 Jun 2009, 23:00
Neochronic wrote:
i am sure i am gonna leave out such ones..

Hades, What is the source of such brilliant questions ..?


My brain my friend, :)
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Re: Tough DS 5   [#permalink] 03 Jun 2009, 23:00
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