Data Sufficiency

vaibhav101 wrote:If d denotes a decimal, is d greater than or equal to 0.5?

(1) When d is rounded to the nearest tenth, the result is 0.5.
(2) When d is rounded to the nearest integer, the result is 1.[/img][/list]

Statement 1: When d is rounded to the nearest tenth, the result is 0.5.

d can be anything between 0.45 to 0.54. So, the answer cannot be unique yes or no. Insufficient.

Statement 2: When d is rounded to the nearest integer, the result is 1.

d must be 1 the number between 0.5 to 0.9; so in any case, d ≥ 0.5. Sufficient.

The correct answer: B

Hope this helps!

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vaibhav101 wrote:If d denotes a decimal, is d greater than or equal to 0.5?
(1) When d is rounded to the nearest tenth, the result is 0.5.
(2) When d is rounded to the nearest integer, the result is 1.

We are given that d is a decimal, and we need to determine whether d is greater than or equal to 0.5.

Statement One Alone:

When d is rounded to the nearest tenth, the result is 0.5.

Using the information in statement one, we can get a multitude of values for d.

For example, d can be 0.51, and 0.51 is greater than or equal to 0.5.

In another case, d can be 0.49, but 0.49 is not greater than or equal to 0.5.

Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

When d is rounded to the nearest integer, the result is 1.

In order for d to be rounded to 1 (when rounded to the nearest integer), the value of d must be at least 0.5. Statement two is sufficient to answer the question.

Answer: B