Quantitative Aptitude Quest
Number Systems
If x and y are negative numbers, which of the following statements is (are) always true?
I. x - y is negative
II. -x is positive
III. (-x) (-y) is positive
1. I only
2. II only
3. I and II only
4. II and III only
Statement I is false since if x = -5 and y=-6, then x - y = 1, which is not negative.
Statement II is true since - a negative number is always a positive number.
Statement III is true since (-x) and (-y) are both positive, and the product of two positive numbers is a positive number.