GRE Sample Test 1 Quantitative Reasoning 1

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Question : 15 of 20

Marks: +1, -0

If a =

(27)(3^{–2})

and x =

(6)(3^{–1})

, then which of the following is equivalent to

(12)(3^{–x}) × (15)(2^{–a})

?

5(–2245)(320)
2/5
5/2
5(24)(38)
5(2245)(320)

Solution:

a = 27

1/3^2

= 3 and x = 6

1/3

= 2.
Find

(12)3^{-x})(15)(2^{-a})

=

(12)(3^{-2})(2^{-3})

=

{(12)(15)}/{(3^2)(2^3)}

. Now, reduce:

{(2.2.3)(3.5)}/{(3.3)(2.2.2)}

=

5/2

.

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