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15 May 2018, 01:47
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:56) correct
26%
(01:55)
wrong
based on 284
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If x and y are positive, what is the value of y ?
(1) xy is the square of an integer.
(2) 600 percent of x equals 200 percent of y.
(1) xy is the square of an integer.
(2) 600 percent of x equals 200 percent of y.
15 May 2018, 02:07
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Bunuel
Statement 1: implies \(x*y=k^2\), for some integer \(k\). But from this we cannot calculate the value of \(k\). Insufficient
Statement 2: implies \(600\)%\(*x=200\)%\(*y =>y=3x\).
but we don't know the value of \(x\), hence \(y\) cannot be calculated. Insufficient
Combining 1 & 2: we cannot get the value of \(x\), hence the value of \(y\). Insufficient
Option E
15 May 2018, 02:21
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Statement 1: -
the statement says \(xy = integer^2\)
If x is 2 and y is 2, then xy = 4
But if x is 28 and y is 7, then xy = 196
Clearly we can have multiple values of y, hence INSUFFICIENT
Statement 2: -
\(600/100*x\) = \(200/100*y\)
\(3x=y\)
clearly, we can have multiple values of y, hence INSUFFICIENT
Combining statement 1 and statement 2
\(3x^2 = integer^2\)
Now if x is 3, then \(3^3 = integer^2\) ---> which is not possible
if x is \(3^2\), then \(3^5 = integer^2\) ---> which is not possible
Therefore x has to be \(\sqrt{3}\) and y is \(3*\sqrt{3}\)
Answer is C. SUFFICIENT
the statement says \(xy = integer^2\)
If x is 2 and y is 2, then xy = 4
But if x is 28 and y is 7, then xy = 196
Clearly we can have multiple values of y, hence INSUFFICIENT
Statement 2: -
\(600/100*x\) = \(200/100*y\)
\(3x=y\)
clearly, we can have multiple values of y, hence INSUFFICIENT
Combining statement 1 and statement 2
\(3x^2 = integer^2\)
Now if x is 3, then \(3^3 = integer^2\) ---> which is not possible
if x is \(3^2\), then \(3^5 = integer^2\) ---> which is not possible
Therefore x has to be \(\sqrt{3}\) and y is \(3*\sqrt{3}\)
Answer is C. SUFFICIENT
