# If a and b are positive integers, is a/b…

# Solution:

We are given that a and b are positive integers and we must determine:

Is a/b < 9/11?

or

Is a/b <0.818181…?

**Statement One Alone: **

a/b < 0.818

Using the information in statement one we know that a/b < 0.818, so a/b < .818181… and we can answer YES to the question. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

**Statement Two Alone: **

b/a > 1.223

To better analyze statement two, we can rephrase the question by reciprocating both sides of the inequality (but remember to flip the inequality sign):

Is a/b < 9/11?

to

Is b/a > 11/9?

i.e.,

Is b/a > 1.222…?

Using the information in statement two, we know that b/a > 1.223, so b/a > 1.222… and we can again answer YES to the question. Statement two alone is sufficient to answer the question.

**Answer: D **