**Post: Did You Know these Facts about GRE Math?**

**Question:** How many positive integers, less than 20, are either an even multiple of 2 or, a multiple of 9 or, the sum of a positive multiple of 2 and a positive multiple of 9?

**Answer:** There are 11 such integers:

- Multiples of 2 – 4, 8, 12, 16 (total 4)
- Multiples of 9 – 9, 18 (total 2)
- Sums of a positive multiple of 2 and a positive multiple of 9 – 11, 13, 15, 17, 19 (total 5)

**Post: ****Quantitative Comparison Questions: Doubtful D!**

**Question**:

*X < (1/X)*

*Column A Column B*

* X X ^{2}*

**Answer:**: (D)

The given inequality is X< (1/X).

This is possible only in two cases:

(1) If 0 < X < 1 OR

(2) X < -2