Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We need to determine the tens digit of the positive integer x.
Statement One Alone:
x divided by 100 has a remainder of 30.
Using the information in statement one, we can test some numerical values for x.
x = 30
30/100 = 0 remainder 30
We see that x has a tens digit of 3.
x = 130
130/100 = 1 remainder 30
We see that x has a tens digit of 3.
x = 230
230/100 = 2 remainder 30
We see that x has a tens digit of 3.
We see that regardless of which value we select for x, when x is divided by 100 and yields a remainder of 30, x will always have a tens digit of 3. Statement one is sufficient to answer the question. We can eliminate answer choices B, C and E.
Statement Two Alone:
x divided by 110 has a remainder of 30.
Using the information in statement two we can test some numerical values for x.
x = 30
30/110 = 0 remainder 30
We see that x has a tens digit of 3.
x = 140
140/110 = 1 remainder 30
We see that x has a tens digit of 4.
Statement two is not sufficient to answer the question.
Answer: A
