Explanation

In this question, we need to know the tenths digit of a number--that is, the digit that comes immediately to the right of the decimal point. Let's examine the data statements, separately first.

Statement (1) tells us, in the language of decimals, that this number is less than 0.625. You could do this decimal conversion by memorizing it, doing long division, or thinking of an eighth as a half of a quarter. Anyway, if this number is less than 0.625, than the tenths digit could be 5, 4, or so on. Insufficient.

Statement (2) has a similar problem. The number is greater than , that is, point 5 repeating. That means the tenth digit could be 6, say, or it could be 7. Different possible cases yield different answers, so we don't have sufficient information to answer the question.

Combining the statements, we can apply the takeaways from them together. The number is greater than but less than 0.625. It could be, to take one case, 0.57. But it could also be 0.61. So there are still different possible answers for different cases. We don't have sufficient information.

The correct answer is (E).