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

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Intern
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What is the result when x is rounded to the nearest [#permalink]  10 Sep 2005, 12:33
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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 thousandths digit of x is 5
Senior Manager
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[#permalink]  10 Sep 2005, 14:46
Agree with C.

Without statement 2, the answer could be 0.44 because the thousandth digit could be 4, rounded up to 5 by a higher subsequent digit. For example, in the number 0.4546.

But statement 2 tells us that the thousandth digit is indeed 5, so the answer has to be C.
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[#permalink]  10 Sep 2005, 15:13
I still can get it ... Can you explain a little more please ?
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Re: DS - digit prob [#permalink]  10 Sep 2005, 16:36
Zoom, here is my explanation:

For statement one, x can be either .4545, .4546, .4547, .4548, .4549 OR .4551, .4552, .4553, .4554. These are the only values that will give us .455. Thus, (1) is not sufficient.

Statement two tells us nothing because we have no idea what the preceding numbers are before the thousandths digit.

If we combine both statements together, refer back to the possible values of x from statement 1. The only value with "5" in the thousandth's place is .4545. Thus, the result when x is rounded to the nearest hundredth is .46.

Make sense?

zoom wrote:
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 thousandths digit of x is 5
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[#permalink]  10 Sep 2005, 21:55
Agree with the method. Same way and same result for me
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[#permalink]  11 Sep 2005, 02:48
Many thanks ... it's better for me now
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Re: DS - digit prob [#permalink]  11 Sep 2005, 02:57
[quote="trulyblessed"]Zoom, here is my explanation:

The only value with "5" in the thousandth's place is .4545.

quote]

The thing that I was doing wrong is for me the thousandth's place in a number 0.XYZ is Z. So I had like 4 differents possible values 0.4551, 0.4552, 0.4553 and 0.4554.

Was I wrong ?
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Re: DS - digit prob [#permalink]  11 Sep 2005, 14:27
Zoom, you are correct, however, keep in mind that there are more ways to get a .455 roundoff than what you list below. For example, if the thousandth's digit is greater than 5, but your hundredth place is less than 5, you can also round up to .455. Example, .4545 = .455.

zoom wrote:
trulyblessed wrote:
Zoom, here is my explanation:

The only value with "5" in the thousandth's place is .4545.

quote]

The thing that I was doing wrong is for me the thousandth's place in a number 0.XYZ is Z. So I had like 4 differents possible values 0.4551, 0.4552, 0.4553 and 0.4554.

Was I wrong ?
Re: DS - digit prob   [#permalink] 11 Sep 2005, 14:27
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# What is the result when x is rounded to the nearest

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