Social Distancing with Data Sufficiency Challenge! – Day 24

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This series is designed to help you step up your Data Sufficiency practice while we all spend a little extra time at home during the coronavirus situation; I’m going to publish one practice Data Sufficiency question each day! You can choose to do all of them, or none of them.

Click on the tag “Social Distancing DS Challenge” at the bottom of this post to see all of the questions in this series!

And remember to take whatever precautions you need to stay healthy over the next few weeks!

Question #24

4.7☆◎3

If and each represent single digits in the decimal above, what digit does represent?

(1) When the decimal is rounded to the nearest tenth, 4.8 is the result.

(2) When the decimal is rounded to the nearest hundredth, 4.77 is the result.

Explanation

By statement (1), we know that the hundredths digit (represented by ) must be equal to 5, 6, 7, 8, or 9. We cannot narrow it down further than that, so statement (1) is not sufficient.

Statement (2) shows us the hundredths digit, but it has been rounded. Since we do not know the thousandths digit, we cannot be sure whether the hundredths digit is indeed 7, or if it was rounded up from 6. Because we cannot be sure of ‘s value, this is not sufficient.

Even combined, we do not have enough information to answer the question. The correct answer is (E).