gmatforce wrote:

If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

This is my most feared question type because it requires you to try out values but practice truly reduces that anxiety...1.

Test x=2: 1 < 2 (This works for the equation but |x| is not less than 1) NO!

Test x=-1/4: -1 < -1/4 (This works for the equation and |x| is less than 1) YES!

INSUFFICIENT.

2. |x| > x

This means x is negative value.

x = -1: |x| is not less than 1 NO!

x = -1/4: |x| is less than 1 YES!

INSUFFICIENT!

Together: We only test (-) values with x/|x| < x

x=-1: No!

x=-1/4: Yes!

So the only valid solution for x/|x| < x that is negative is a fraction.

Fractions are |x| less than 1. YES!

Answer: C

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Impossible is nothing to God.