Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE DS
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
