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Intern  Joined: 15 Dec 2009
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What is the value of the tenths digit of number x?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 70% (01:09) correct 30% (01:07) wrong based on 357 sessions

HideShow timer Statistics 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
Math Expert V
Joined: 02 Sep 2009
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What is the value of the tenths digit of number x?  [#permalink]

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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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Math Expert V
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Re: Help solve me This  [#permalink]

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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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Re: Help solve me This  [#permalink]

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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
Intern  Joined: 15 Dec 2009
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Re: Help solve me This  [#permalink]

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Thanks Guys OA is C

I was messing up with my rounding off concepts
Now I fixed'em ryt Senior Manager  Joined: 30 Aug 2009
Posts: 261
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Concentration: General Management
Re: Help solve me This  [#permalink]

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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...
Intern  Joined: 12 Oct 2009
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Re: Help solve me This  [#permalink]

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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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GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Re: Help solve me This  [#permalink]

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hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2
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GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Re: Help solve me This  [#permalink]

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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]

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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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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]

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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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GMAT 1: 590 Q42 V29 GMAT 2: 630 Q47 V29 Re: What is the value of the tenths digit of number x?  [#permalink]

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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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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
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: What is the value of the tenths digit of number x?  [#permalink]

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Hi All,

In this prompt, we're asked for the TENTHS digit of X? This question asks for the digit that is to the IMMEDIATE RIGHT of the decimal point.

Fact 1: The hundredths digit of X is 5

This tells us NOTHING about the tenths digit - that digit could be any integer from 0 to 9, inclusive.

eg.
X = _.05
X = _.15
X = _.25
...
X = _.95
Fact 1 is INSUFFICIENT

Fact 2: Number X, rounded to the nearest tenth, is 54.5

This Fact discusses ROUNDING. If the hundredths digit is 0-4, then we 'round down'; if the hundredths digit is 5-9, then we 'round up.'

eg.
IF.....
X = 54.49, then we would 'round up' to 54.5

X = 54.53, then we would 'round down' to 54.5

Thus, the tenths digit could be 4 or 5.
Fact 2 is INSUFFICIENT

Combined, we know...
The hundredths digit of X is 5
Number X, rounded to the nearest tenth, is 54.5

Since the hundredths digit is 5, that means that we would have to round UP to get to 54.5. Thus, X could only be 54.45
Combined, SUFFICIENT

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

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the key point here is 'number x'.

As it is mentioned that it is a number and not an integer you can assume x = 0.abc and I guess rest of the problem can be referred from any of the well explained answers above.
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Re: What is the value of the tenths digit of number x?  [#permalink]

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Bunuel wrote:
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.

but why is 10th digit after decimal? why not the 10th digit before decimal? how do you get to know if theyre talking about the tenths digit of before or after decimal
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Re: What is the value of the tenths digit of number x?  [#permalink]

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ishanivarma wrote:
Bunuel wrote:
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.

but why is 10th digit after decimal? why not the 10th digit before decimal? how do you get to know if theyre talking about the tenths digit of before or after decimal

_________________ Re: What is the value of the tenths digit of number x?   [#permalink] 23 Jun 2019, 03:25
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