GRE Sample Test 3 Quantitative Reasoning 2

Question : 20 of 20

Marks: +1, -0

If 0 < a < 1 < b, then which of the following is greatest?

ab
$a/b$
$b/a$
$a/(b^2)$
$b/(a^2)$

Solution:

The easiest way to answer this question is to choose values for a and b. Let a = .5 and b = 2. When we substitute these values into the choices, we arrive at:
a) (0.5)(2) = 1
b)

(0.5)/2

= 0.25
c)

2/{0.5}

= 4
d)

{0.5}/4

= 0.125
e)

2/(0.25)

= 8
Choice E yields the largest value

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