# What is the tenths digit in the decimal representation…

## Solution:

We need to determine the value of the tenths place of a particular number.

**Statement One Alone:**

The number is less than 1/3.

Since the number is less than 1/3, it is less than 0.333…. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.2 (with a tenths place of 2). Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

**Statement Two Alone:**

The number is greater than 1/4.

Since the number is greater than 1/4, it is greater than 0.25. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.4 (with a tenths place of 4). Statement two does not provide enough information to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two we know that the decimal value is between 0.25 and 0.333…. We could still have decimals values with different tenths places, such as 0.28 or 0.3.

**Answer: E**