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How many weeks was the Carnival open last year? (1) The [#permalink]
 02 Jun 2009, 23:15
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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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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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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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Good attempts 
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Hades wrote: Good attempts 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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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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X - # of weeks open Y - # of weeks closed X + Y = 52 (inferred) Question: (X?)(1) X/Y = 1/32 linear equations, 2 variables \longrightarrow SUFFICIENT . (2) XY = 507Rearrange inferred equation to Y = 52-X and substitute into above X(52-X) = 50752X - X^{2} = 507X^{2} - 52X + 507 = 0X^{2} - 13X - 39X + 507 = 0X(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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Thanks amolsk. And yes bigtreezl, I actually did. My questions are sneaky MF'ers.
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i am sure i am gonna leave out such ones..
Hades, What is the source of such brilliant questions ..?
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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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close
