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# What is the result when x is rounded to the nearest

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Senior Manager
Joined: 23 May 2005
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What is the result when x is rounded to the nearest [#permalink]  20 Oct 2006, 01:05
What is the result when x is rounded to the nearest hundredth?

(1) when x is rounded to the nearest thousandth the result is 0.455

(2) the thousandth digit of x is 5

OA is C. Isn't (1) sufficient?
Manager
Joined: 12 Sep 2006
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No, it's not sufficient

0.455 could be either 0.4545(or any number greater than 5) or 0.4551(or anything smaller than 5)

depending on that number, the hundredth digit is 5 or 6
Director
Joined: 05 Feb 2006
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keeeeeekse wrote:
No, it's not sufficient

0.455 could be either 0.4545(or any number greater than 5) or 0.4551(or anything smaller than 5)

depending on that number, the hundredth digit is 5 or 6

Not sure....

The end results for both examples is 0,46.... I think the question is not properly drawn here....
Manager
Joined: 12 Sep 2006
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SimaQ

consider this 1.12578, would you round it up to 1.1 or 1.2? i think when you are rounding up a decimal, you should only look at the next digit, otherwise the figure will not be accurate
Senior Manager
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keeeeeekse wrote:
No, it's not sufficient

0.455 could be either 0.4545(or any number greater than 5) or 0.4551(or anything smaller than 5)

depending on that number, the hundredth digit is 5 or 6

Yes - great explanation and example.
_________________

"Never let the fear of striking out get in your wayâ€

Director
Joined: 05 Feb 2006
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keeeeeekse wrote:
SimaQ

consider this 1.12578, would you round it up to 1.1 or 1.2? i think when you are rounding up a decimal, you should only look at the next digit, otherwise the figure will not be accurate

In that case i would agree, but i still think this question is strange....
I have seen similar on Gmat prep i think, that was crystal clear....
Intern
Joined: 10 Apr 2006
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decimal [#permalink]  20 Oct 2006, 09:40

If we know that
the thousandth digit of x is 5

then hundredth digit will always round off to 6

what am I missing ?
SVP
Joined: 05 Jul 2006
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What is the result when x is rounded to the nearest hundredth?

(1) when x is rounded to the nearest thousandth the result is 0.455

(2) the thousandth digit of x is 5

from one x could have been 0.4545 or 0.4553......insuff

from two

clearly insuff

both

C is my answer X = 0.46
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