Rounding X

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If x denotes a decimal, is ?

(1) When x is rounded to the nearest hundredth, the result is 0.90.

(2) When x is rounded to the nearest tenth, the result is 0.9.

Review: Rounding X




Explanation

In this question, x is a number in decimal form. On to the data statements, evaluating them separately at first, as always.

Statement (1) tells us what happen when we round x. We can analyze by cases: if x rounds to 0.90, then it could be 0.899. Another permitted case is that x equals 0.901. In one case, x is greater than 0.90, and in the other case it's not. Therefore, the statement hasn't given us sufficient information to answer the question definitively. Insufficient.

Statement (2) is similar. In one case, x could be 0.91, and in another it could be 0.89. These permitted cases yield different answers to the question, so we don't have sufficient information. Insufficient.

Combining the statements doesn't change much, because the two cases we considered for Statement (1) alone are both still valid when the statements are combined. Insufficient.

The answer is (E).


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