Jeff Miller

GMAT OFFICIAL GUIDE DS – What is the tens digit…

What is the tens digit…

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

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