Last visit was: 03 Oct 2024, 19:29 It is currently 03 Oct 2024, 19:29
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
User avatar
Joined: 15 Dec 2009
Posts: 5
Own Kudos [?]: 42 [41]
Given Kudos: 0
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 95922
Own Kudos [?]: 664877 [22]
Given Kudos: 87494
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 95922
Own Kudos [?]: 664877 [7]
Given Kudos: 87494
Send PM
General Discussion
User avatar
Joined: 17 Dec 2009
Posts: 23
Own Kudos [?]: 38 [0]
Given Kudos: 4
Send PM
Re: Help solve me This [#permalink]
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
Joined: 15 Dec 2009
Posts: 5
Own Kudos [?]: 42 [0]
Given Kudos: 0
Send PM
Re: Help solve me This [#permalink]
Thanks Guys :)

OA is C

I was messing up with my rounding off concepts
Now I fixed'em ryt ;)
User avatar
Joined: 30 Aug 2009
Posts: 131
Own Kudos [?]: 368 [0]
Given Kudos: 5
Location: India
Concentration: General Management
Send PM
Re: Help solve me This [#permalink]
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
Joined: 12 Oct 2009
Posts: 16
Own Kudos [?]: 36 [0]
Given Kudos: 1
Location: I see you
Send PM
Re: Help solve me This [#permalink]
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
Joined: 12 Oct 2009
Status:<strong>Nothing comes easy: neither do I want.</strong>
Posts: 2279
Own Kudos [?]: 3714 [0]
Given Kudos: 235
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Send PM
Re: Help solve me This [#permalink]
hundredth digit is after decimal??? 132===> hundredths is 1, tenth 3 and one-2
User avatar
Joined: 12 Oct 2009
Status:<strong>Nothing comes easy: neither do I want.</strong>
Posts: 2279
Own Kudos [?]: 3714 [0]
Given Kudos: 235
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Send PM
Re: Help solve me This [#permalink]
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
Joined: 16 Feb 2010
Posts: 76
Own Kudos [?]: 133 [0]
Given Kudos: 17
Send PM
Re: Help solve me This [#permalink]
hats off to your mathematics bunuel !!! what so ever type of problem it may be you always have a solution for it.
User avatar
Joined: 29 Jan 2011
Posts: 158
Own Kudos [?]: 742 [0]
Given Kudos: 87
Send PM
Re: Help solve me This [#permalink]
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
Retired Moderator
Joined: 20 Dec 2010
Posts: 1107
Own Kudos [?]: 4810 [0]
Given Kudos: 376
Send PM
Re: Help solve me This [#permalink]
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
Joined: 13 Nov 2014
Posts: 34
Own Kudos [?]: 18 [0]
Given Kudos: 105
GMAT 1: 590 Q42 V29
GMAT 2: 630 Q47 V29
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
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
Joined: 01 Mar 2015
Posts: 408
Own Kudos [?]: 957 [1]
Given Kudos: 43
Location: India
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
1
Kudos
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
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21831
Own Kudos [?]: 11911 [1]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
1
Bookmarks
Expert Reply
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
Joined: 03 Feb 2018
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
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.
Joined: 10 Feb 2019
Posts: 7
Own Kudos [?]: 1 [0]
Given Kudos: 17
Location: India
Schools: YLP '20
Send PM
What is the value of the tenths digit of number x? [#permalink]
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

Originally posted by shivenchy123 on 23 Jun 2019, 03:17.
Last edited by shivenchy123 on 17 Sep 2019, 07:41, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 95922
Own Kudos [?]: 664877 [0]
Given Kudos: 87494
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
Expert Reply
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
Current Student
Joined: 07 Jul 2019
Posts: 35
Own Kudos [?]: 20 [0]
Given Kudos: 105
Location: India
Concentration: Strategy, Technology
GMAT 1: 710 Q50 V35
GPA: 4
WE:Analyst (Computer Software)
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
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).
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21831
Own Kudos [?]: 11911 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: What is the value of the tenths digit of number x? [#permalink]
Expert Reply
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
GMAT Club Bot
Re: What is the value of the tenths digit of number x? [#permalink]
 1   2   
Moderator:
Math Expert
95922 posts