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OG 11; data sufficiency; problem 58

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by Pugalenthi » Mon May 21, 2012 6:37 am
If d denotes a decimal, is d >=0.5?
(1) when d is rounded to the nearest 10th, the result is 0.5
(2) when d is rounded to the nearest integer, the result is 1

The answer is B. here is my question...if d = 0.49 then by rounding to the nearest integer, the answer is 1 but d < 0.5. What am I missing? Please let me know
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Source: — Data Sufficiency |
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by mathbyvemuri » Mon May 21, 2012 6:58 am
statement(1): possibilities=> if two decimal diqits are considered, the possible range is 0.41 to 0.50
There is an ambiguity in the value of d. It may be less than 0.5 or equal to 0.5. So the statement alone is not suff

statement(2): possibilities=> d is greater than or equal to 0.5
Exactly suits the requirement and the stmt alone is suff.
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by Pugalenthi » Mon May 21, 2012 8:30 am
Does this mean... For stmt 2, I should apply only the numbers >=0.5 and not numbers like 0.49? I am looking for the reasoning here and not just the answer. Please let me know
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by mathbyvemuri » Mon May 21, 2012 5:50 pm
If the value is less than half (0.5), the nearest integer value to be taken is zero. or else, it is taken as 1.
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