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Bunuel
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Bunuel
For which of the following values of y is \(\frac{2}{3^y}\) greatest?

A. 0
B. 1/2
C. 1
D. 3/2
E. 2

For any value of \(y\), \(\frac{2}{3^{y}}\) will be a fraction with \(denominator > numerator\), except for \(y = 0\), hence Ans - A.
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choice A gives the value of \(\frac{2}{3^y}\) as 2.
Other choices give a value of less than 2 as denominator is greater than numerator, hence A is the answer
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For the value of \(\frac{2}{3^y}\) to be the greatest the denominator has to be the least.

We need to find the value of y for which \(3^y\) is the least. Let us check the options
1. y=0 => \(3^y\)=1
2. y=1/2 => \(3^y\)=\(\sqrt{3}\) = 1.732
3. y=1 => \(3^y\)=3
4. y=3/2 => \(3^y\)=\(\sqrt{3}^3\) > 1.732
5. y=2 => \(3^y\)=9

So for y=0, the value of \(3^y\) is the least and consequently the value of \(\frac{2}{3^y}\) is the greatest.

Answer A
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Hello from the GMAT Club BumpBot!

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