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Is x greater than 3.25?

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Is x greater than 3.25?

by M7MBA » Thu Jun 14, 2018 11:27 pm

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Is x greater than 3.25?

(1) If x were rounded to the nearest thousandth, the result would be 3.254.
(2) If x were rounded to the nearest hundredth, the result would be 3.25.

The OA is the option A.

I am confused. Shouldn't be sufficient the second statement? Please, anyone, clarify this for me. <i class="em em-confused"></i>
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Source: — Data Sufficiency |
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by GMATGuruNY » Fri Jun 15, 2018 2:21 am

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M7MBA wrote:Is x greater than 3.25?

(1) If x were rounded to the nearest thousandth, the result would be 3.254.
(2) If x were rounded to the nearest hundredth, the result would be 3.25.
Statement 1:
3.2535 ≤ x < 3.2545.
When any value in the range above is rounded to the nearest thousandth, the result is 3.254.
Since every value in the range above is greater than 3.25, the answer to the question stem is YES.
SUFFICIENT.

Statement 2:
3.245 ≤ x < 3.255.
When any value in the range above is rounded to the nearest hunredth, the result is 3.25.
If x = 3.245, the answer to the question stem is NO.
If x = 3.2549, the answer to the question stem is YES.
INSUFFICIENT.

The correct answer is A.
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