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

Question

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 .

Neochronic · Answer

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 ?

bigtreezl · Answer

C

x=open
y=closed
x/y=1/3
xy=507
3x^2=507
x=13

Hades · Answer

Good attempts 8-)

bigtreezl · Answer

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?

vannu · Answer

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.

Hades · Answer

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

Hades · Answer

Thanks amolsk.

And yes bigtreezl, I actually did. My questions are sneaky MF'ers.

Neochronic · Answer

i am sure i am gonna leave out such ones..

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

Hades · Answer

My brain my friend,

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