Source: Official Guide for GMAT Review 2016 Data Sufficiency ; #58

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# What is the tenths digit in the

What is the tenths digit in the decimal representation of a certain number?

### 1 Explanation

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Ajoke Emekene

Between any two points on the number line, there's an infinity of numbers. The question demands that we know something specific about the value of the certain number which is the tenth digits.

Statement one merely tells us that the number is less that 1/3 so it's not sufficient. Statement 2 also tells us that the number is above 1/4 so that's also not sufficient/ When both statements are combined we still know nothing about the value. Yes it must between 1/3 and 1/4 but as there's an infinite number of values between both points we cannot determine it and so our answer is E.

Dec 11, 2016 • Comment

Cydney Seigerman, Magoosh Tutor

Nice work, Ajoke, in determining that the two statements, even when combined, are insufficient. That said, I'd like to point out that while it's true that there are an infinite number of values between the points, the possible value of the tenths digit is more limited. When we combine the two statements, we can express the value of x as the following range.

0.25