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What is the value of the tenths digit of number x?

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What is the value of the tenths digit of number x? [#permalink] New post 24 Dec 2009, 09:33
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What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5
[Reveal] Spoiler: OA
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Re: Help solve me This [#permalink] New post 24 Dec 2009, 09:42
The correct answer is C, before I give the detailed explanation, can you confirm the OA?
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Re: Help solve me This [#permalink] New post 24 Dec 2009, 09:55
Expert's post
nikhilbajaj wrote:
What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5


x=a.bc --> b=?

(1) x=a.b5. Clearly insufficient to determine b.

(2) x, rounded to nearest tenth is 54.5 --> x can be for example 54.54 (meaning that c<5) OR 54.46 (meaning that c>=5). Not sufficient.

(1)+(2) c=5>=5, hence x=54.45... --> b=4. Sufficient.

Answer: C.
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Re: Help solve me This [#permalink] New post 24 Dec 2009, 09:59
nikhilbajaj wrote:
What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5


Obviously (1) alone is not enough, so is BCE
What is about information (2) rounded to the nearest tenth, is 54,5
So the number no rounded is 54,49X where X integer > 4 or 54,50X where X integer <5
So the the tenth digit can be 4 or 5, the information (2) alone is not enough to answer to this question.
However since in the 1st information the undredths digit of x is 5, so the tenth digit is 4
Therefore the correct answer is C
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Re: Help solve me This [#permalink] New post 24 Dec 2009, 10:21
Thanks Guys :)

OA is C

I was messing up with my rounding off concepts
Now I fixed'em ryt ;)
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Re: Help solve me This [#permalink] New post 24 Dec 2009, 10:52
nikhilbajaj wrote:
Thanks Guys :)

OA is C

I was messing up with my rounding off concepts
Now I fixed'em ryt ;)


hope didnt fix it to any particular value :lol: ....just kidding mate...happens with all of us some or the other time...
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Re: Help solve me This [#permalink] New post 09 May 2010, 11:00
Need a quick clarification on this. (I guess I don't need a clarification anymore, just thought i'd add the note below)

What is Number x, rounded to the nearest tenth here?

if x = 54.550000 ~ 54.6
if x = 54.458000 ~ 54.5

I guess I figured it out as I was typing this itself.

Note: When the digit 5, 6, 7, 8, or 9 appears in the ones place, round up; when the digit 0, 1, 2, 3, or 4 appears in the ones place, round down
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Re: Help solve me This [#permalink] New post 09 May 2010, 12:10
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2
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Re: Help solve me This [#permalink] New post 09 May 2010, 12:22
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gurpreetsingh wrote:
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2


1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
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Re: Help solve me This [#permalink] New post 09 May 2010, 12:28
Bunuel wrote:
gurpreetsingh wrote:
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2


1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


Thanks for clarifying this. :)
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Re: Help solve me This [#permalink] New post 16 May 2010, 10:27
hats off to your mathematics bunuel !!! what so ever type of problem it may be you always have a solution for it.
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Re: Help solve me This [#permalink] New post 22 Jun 2011, 03:04
Bunuel wrote:
gurpreetsingh wrote:
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2


1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


Hi Bunuel,
Sorry for the silly question but how do we know its asking tenths digit after or before decimal?
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Re: Help solve me This [#permalink] New post 22 Jun 2011, 03:19
siddhans wrote:
Bunuel wrote:
gurpreetsingh wrote:
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2


1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


Hi Bunuel,
Sorry for the silly question but how do we know its asking tenths digit after or before decimal?


TENTH digit is Always to the Right of the decimal.
TENS digit is Always to the left of the decimal.
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Re: Help solve me This   [#permalink] 22 Jun 2011, 03:19
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