What is the value of the tenths digit of number x? : GMAT Data Sufficiency (DS)
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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]

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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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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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24 Dec 2009, 09:55
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.

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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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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]

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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 ....just kidding mate...happens with all of us some or the other time...
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Re: Help solve me This [#permalink]

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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]

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09 May 2010, 12:10
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2
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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]

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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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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]

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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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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: What is the value of the tenths digit of number x? [#permalink]

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What is the value of the tenths digit of number x? [#permalink]

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15 Oct 2015, 04:53
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
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Re: What is the value of the tenths digit of number x? [#permalink]

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15 Oct 2015, 04:55
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Re: What is the value of the tenths digit of number x? [#permalink]

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15 Oct 2015, 18:05
zahraf 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

i think it should be tenth decimal point,
and after rounding off it comes as 54.5 hence tenth decimal 0.5 remained as it is as hundredth digit was less than or equal to 5,
e.g number was 54.55, I round it off , it becomes 54.5, if the number was 54.56, i round it off it becomes 54.6

if you dont consider first statement then there are two possibilities 54.47 will also become 54.5 and 54.52 will also become 54.5
hence we need both statements

Hope i m making sense
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Re: What is the value of the tenths digit of number x? [#permalink]

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15 Oct 2015, 19:15
zahraf 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

we have to find tenths digit of a number x

(1) hundredths digit 0f x is 5
we can not find tenths digit from it, hence insufficient

(2) Number x, rounded to the nearest tenth, is 54.5[/quote]
here, we have two cases, if no is 54.50 to 54.54 then tenths digit is 5
and if no is 54.45 to 54.49 then tenths digit is 4
therefore (2) alone is not sufficient

using (1) and (2) together
we clearly have no as 54.45, giving us tenths digit as 4
both statements together gives a unique answer

Kudos, if you like the explanation
Re: What is the value of the tenths digit of number x?   [#permalink] 15 Oct 2015, 19:15
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