Bunuel wrote:

If \(x = 10^{-1}\), what is the value of \((x + \frac{1}{x})(\frac{1}{x})\)?

OA:

Nice rule:

1/(a/b) = b/aSo, for example, 1/(2/3) = 3/2

And 1/(1/10) = 10

GIVEN: x = 10^(-1) =

1/10So. let's take (x + 1/x)(1/x) and replace x with

1/10We get: = (x + 1/x)(1/x) = [

1/10 + 1/(

1/10)][1/(

1/10)]

= (1/10 + 10)(10)

[after we apply above rule]= 1 + 100

[after we expand]= 101

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Sign up for our free GRE Question of the Day emails