Last visit was: 10 Jul 2025, 20:08 It is currently 10 Jul 2025, 20:08
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
nikhilbajaj
Joined: 15 Dec 2009
Last visit: 03 Jan 2012
Posts: 5
Own Kudos:
45
 [44]
Posts: 5
Kudos: 45
 [44]
3
Kudos
Add Kudos
41
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 Jul 2025
Posts: 102,631
Own Kudos:
Given Kudos: 98,170
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,631
Kudos: 740,214
 [24]
13
Kudos
Add Kudos
11
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 Jul 2025
Posts: 102,631
Own Kudos:
740,214
 [7]
Given Kudos: 98,170
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,631
Kudos: 740,214
 [7]
2
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
General Discussion
User avatar
ludwigfraboulet
Joined: 17 Dec 2009
Last visit: 21 Dec 2014
Posts: 23
Own Kudos:
Given Kudos: 4
Posts: 23
Kudos: 43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nikhilbajaj
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
User avatar
nikhilbajaj
Joined: 15 Dec 2009
Last visit: 03 Jan 2012
Posts: 5
Own Kudos:
Posts: 5
Kudos: 45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thanks Guys :)

OA is C

I was messing up with my rounding off concepts
Now I fixed'em ryt ;)
User avatar
kp1811
Joined: 30 Aug 2009
Last visit: 05 Sep 2015
Posts: 128
Own Kudos:
Given Kudos: 5
Location: India
Concentration: General Management
Posts: 128
Kudos: 379
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nikhilbajaj
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...
User avatar
firang
Joined: 12 Oct 2009
Last visit: 26 Nov 2011
Posts: 16
Own Kudos:
Given Kudos: 1
Location: I see you
Posts: 16
Kudos: 38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
gurpreetsingh
Joined: 12 Oct 2009
Last visit: 15 Jun 2019
Posts: 2,273
Own Kudos:
Given Kudos: 235
Status:<strong>Nothing comes easy: neither do I want.</strong>
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Products:
Schools: ISB '15 (M)
GMAT 2: 710 Q50 V35
Posts: 2,273
Kudos: 3,855
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2
User avatar
gurpreetsingh
Joined: 12 Oct 2009
Last visit: 15 Jun 2019
Posts: 2,273
Own Kudos:
Given Kudos: 235
Status:<strong>Nothing comes easy: neither do I want.</strong>
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Products:
Schools: ISB '15 (M)
GMAT 2: 710 Q50 V35
Posts: 2,273
Kudos: 3,855
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
gurpreetsingh
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. :)
User avatar
dixitraghav
Joined: 16 Feb 2010
Last visit: 19 May 2017
Posts: 76
Own Kudos:
Given Kudos: 17
GMAT 1: 760 Q50 V41
Posts: 76
Kudos: 141
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hats off to your mathematics bunuel !!! what so ever type of problem it may be you always have a solution for it.
User avatar
siddhans
Joined: 29 Jan 2011
Last visit: 04 Sep 2012
Posts: 158
Own Kudos:
Given Kudos: 87
Posts: 158
Kudos: 761
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
gurpreetsingh
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?
User avatar
fluke
User avatar
Retired Moderator
Joined: 20 Dec 2010
Last visit: 24 Oct 2013
Posts: 1,104
Own Kudos:
Given Kudos: 376
Posts: 1,104
Kudos: 5,005
Kudos
Add Kudos
Bookmarks
Bookmark this Post
siddhans
Bunuel
gurpreetsingh
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.
User avatar
dav90
Joined: 13 Nov 2014
Last visit: 07 Feb 2016
Posts: 34
Own Kudos:
Given Kudos: 105
GMAT 1: 590 Q42 V29
GMAT 2: 630 Q47 V29
GMAT 2: 630 Q47 V29
Posts: 34
Kudos: 18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zahraf
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

is this question asking about tenth digit or decimal point?
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
User avatar
v12345
Joined: 01 Mar 2015
Last visit: 30 May 2025
Posts: 400
Own Kudos:
1,054
 [1]
Given Kudos: 44
Location: India
Posts: 400
Kudos: 1,054
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zahraf
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


Answer C

Kudos, if you like the explanation
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,788
Own Kudos:
12,488
 [1]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,788
Kudos: 12,488
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
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

Final Answer:

GMAT assassins aren't born, they're made,
Rich
avatar
sarathD
Joined: 03 Feb 2018
Last visit: 22 Apr 2018
Posts: 2
Given Kudos: 3
Posts: 2
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
avatar
shivenchy123
Joined: 10 Feb 2019
Last visit: 10 Oct 2020
Posts: 7
Own Kudos:
Given Kudos: 17
Location: India
Schools: YLP '20
Schools: YLP '20
Posts: 7
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
nikhilbajaj
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.



right
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 Jul 2025
Posts: 102,631
Own Kudos:
Given Kudos: 98,170
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,631
Kudos: 740,214
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ishanivarma
Bunuel
nikhilbajaj
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.




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

Please read the whole thread. For example, this post: https://gmatclub.com/forum/what-is-the- ... ml#p722510
User avatar
TumharaFaizal
User avatar
Current Student
Joined: 07 Jul 2019
Last visit: 03 Apr 2021
Posts: 35
Own Kudos:
Given Kudos: 105
Location: India
Concentration: Strategy, Technology
GMAT 1: 710 Q50 V35
GPA: 4
WE:Analyst (Computer Software)
GMAT 1: 710 Q50 V35
Posts: 35
Kudos: 20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It is not mentioned anywhere in the second statement that X was rounded "UP" to the nearest tenths digit.

As per general rules of mathematics, we can round 54.45 & 54.55 both to the 54.5 as there is no mention of rounding "UP" or "Down".

So, In my opinion the answer should be (E).
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,788
Own Kudos:
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,788
Kudos: 12,488
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TumharaFaizal
It is not mentioned anywhere in the second statement that X was rounded "UP" to the nearest tenths digit.

As per general rules of mathematics, we can round 54.45 & 54.55 both to the 54.5 as there is no mention of rounding "UP" or "Down".

So, In my opinion the answer should be (E).

Hi TumharaFaizal,

When using 'rounding rules' the digits 0, 1, 2, 3 and 4 are 'rounded down' while the digits 5, 6, 7, 8 and 9 are 'rounded up.'

Thus, when rounding to the nearest TENTH,
54.45 would become 54.5 but....
54.55 would also be 'rounded up' (and become 54.6).

GMAT assassins aren't born, they're made,
Rich
 1   2   
Moderator:
Math Expert
102631 posts