Last Updated on May 11, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are given that r and t are three-digit positive integers and need to determine whether r is greater than t.
Statement One Alone:
The tens digit of r is greater than each of the three digits of t.
Statement one alone is not sufficient to answer the question. For example, if r = 190 and t = 180, then r is greater than t; however, if r = 190 and t = 210, then r is less than t.
Statement Two Alone:
The tens digit of r is less than either of the other two digits of r.
Since we know nothing about t, statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using statements one and two, we see that the tens digit of r is greater than each of the three digits of t and that the tens digit of r is less than either of the other two digits of r.
Thus, we can say that all digits of r must be greater than all digits of t, so we can say that r is greater than t.
Answer: C
