Hi All,
We're told that X/|Y| = -1. We're asked which of the following MUST be true (which really means "which of the following is ALWAYS true no matter how many different examples you come up with?"). This question can be solved by TESTing VALUES.
For a fraction to equal -1, the numerator and denominator must be OPPOSITE values: for example, -2 and +2. In this fraction, the denominator is an Absolute Value, so there's no way for the denominator to be negative. Thus, the numerator MUST be negative. Based on that deduction, there are now 2 possibilities:
1) X is negative and Y is positive
2) X is negative and Y is negative (and that negative value will be made positive by the Absolute Value function).
So, which of the 5 answers is ALWAYS true (both when X = -2, Y = +2 AND when X = -2 and Y = -2)? Only one...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★