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Problem Solving (PS) | If x is a number satisfying 2 < x < 3 and y is a number satisfying 7

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Bunuel wrote:

If x is a number satisfying 2 < x < 3 and y is a number satisfying 7 < y < 8, which of the following expressions will have the largest value?

A. \(x^2y\)

B. \(xy^2\)

C. 5xy

D. \(\frac{4x^2y}{3}\)

E. \(\frac{x^2}{y}\)

You can plug in values. There are three choices:

1) mixed (improper) fractions, e.g. for x,\(\frac{5}{2}\) ;

2) decimals, e.g. for x, 2.5 (IMO easier than fractions); or

3) whole numbers, by far the easiest choice. This choice violates the stated conditions.

But all the operations in the answer choices
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