GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2019, 07:01

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

What is the result when x is rounded to the nearest hundredt

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 21 Feb 2009
Posts: 77
What is the result when x is rounded to the nearest hundredt  [#permalink]

Show Tags

New post 03 Aug 2009, 12:58
2
29
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (01:28) correct 49% (01:19) wrong based on 635 sessions

HideShow timer Statistics

What is the result when x is rounded to the nearest hundredth?

(1) When x is rounded to the nearest thousandth the result is 0.455.
(2) The thousandth digit of x is 5.
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 27 Oct 2011, 20:58
4
3
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Most Helpful Community Reply
Manager
Manager
avatar
Joined: 11 Sep 2009
Posts: 115
Re: DS - Digits  [#permalink]

Show Tags

New post 26 Oct 2009, 16:47
1
4
I believe the answer is C.

Statement 1: When x is rounded to the nearest thousandth the result is 0.455.

Two cases.

Case 1: Thousandths digit is 5 (0.4550 <= x < 0.4555). Then x rounded to the nearest hundredth would be 0.46.
Case 2: Thousandths digit is 4 (0.4545 < x < 0.4550). Then x rounded to the nearest hundredth would be 0.45.

Therefore, insufficient.

Statement 2: The thousandths digit of x is 5.

Doesn't give any information about any of the other digits of x. Insufficient.

Evaluting Both Statements.

Since we know that the thousandths digit of x is 5, this falls under Case 1. X rounded to the nearest hundredths digit if 0.46. Therefore, sufficient.
General Discussion
Manager
Manager
User avatar
Joined: 08 Oct 2009
Posts: 65
Location: Denmark, Europe
Schools: Darden Class of 2012
Re: DS - Digits  [#permalink]

Show Tags

New post 26 Oct 2009, 16:49
1
phoenixgmat wrote:
hey, can anybody help me? ;)

What is the result when x is rounded to the nearest hundredth?
1) When x is rounded to the nearest thousandth the result is 0.455.
2) The thousandths digit of x is 5.

Isn't 0,455 rounded 0,46?


No.
If the thousandths digit is 4, e.g. 0.4549, the nearest thousandth is 0.455 and the nearest hundredth is 0.45
If the thousandths digit is 5, e.g. 0.4551, the nearest thousandth is 0.455 and the nearest hundredth is 0.46.

Therefore we need the information from (2) to state that x rounded to the nearest hundredth is 0.46, so the answer is C.
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7987
What is the result when x is rounded to the nearest hundredt  [#permalink]

Show Tags

New post 02 Jan 2010, 09:14
3
C
..
(1) when x is rounded to the nearest thousandth, the result is .455 ....
means the no could be .4546 or .4552...
ans in first case will be .45 and in 2nd case .46

not suff..
(2) the thousandths digit of x is 5 ....
nothing given abt hundredths digit....
not suff

combined
we know the no is .4551,.4552,.4553,.4554... in each case ans is .46 so hundredth digit is 6..
.suff
hope it helped!
_________________
Manager
Manager
avatar
Joined: 13 May 2010
Posts: 86
Re: Rounded X  [#permalink]

Show Tags

New post 19 Jun 2010, 06:01
Apology for repeat query.

But I still feel the OA should A. Look at the Q. What is the result after X rounded off to nearest hundredth ie. Two digits after the decimal.
As explained by many, it is possible to ans this using only Statement 1 as follows:
Cases:
1. If the number is 0.4549 after rounding off to nearest hundredth it is 0.46
2. If the number 0.455 after rounding off to nearest hundredth it is 0.46
3. If the number 0.455 after rounding off to nearest hundredth it is 0.46
In any of the above cases the final rounding number remains same ie. 0.455. Is my logic correct or am I missing something?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58434
Re: Rounded X  [#permalink]

Show Tags

New post 19 Jun 2010, 06:09
1
4
gmatcracker2010 wrote:
Apology for repeat query.

But I still feel the OA should A. Look at the Q. What is the result after X rounded off to nearest hundredth ie. Two digits after the decimal.
As explained by many, it is possible to ans this using only Statement 1 as follows:
Cases:
1. If the number is 0.4549 after rounding off to nearest hundredth it is 0.46
2. If the number 0.455 after rounding off to nearest hundredth it is 0.46
3. If the number 0.455 after rounding off to nearest hundredth it is 0.46
In any of the above cases the final rounding number remains same ie. 0.455. Is my logic correct or am I missing something?


Red part is not correct: 0.4549 rounded to the nearest hundredth = 0.45, since the first dropped 4 is less than 5.

Rounding rules

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, round up the last digit that you keep. If the first dropped digit is 4 or smaller, round down (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

Hope it helps.
_________________
Manager
Manager
avatar
Joined: 25 Dec 2010
Posts: 59
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 28 Oct 2011, 21:26
Karishma , I may be little off on this one but as per stm1 : whatever was the value of X , when it was rounded to nearest thousandth it became .455 so when i round this to nearest hundredth shoudn't it become .46 ?

suppose X was .4549 so when it is rounded(round up ) to the nearest thousandth it becomes .455 and when finally rounded to nearest hundredth it becomes .46

suppose X was .4554 so when it is rounded( round down) to the nearest thousandth it becomes .455 and when finally rounded to nearest hundredth it becomes .46

Am is missing something here ? can you please elaborate a bit as to why both statements are needed.

I guess , my Question is why should we bother about the digit after the Thousandth digit when stmt1 clearly says that the thousandth digit (post round off) is 5 and asks about the Hundreth digit.
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 28 Oct 2011, 22:40
shashankp27 wrote:
Karishma , I may be little off on this one but as per stm1 : whatever was the value of X , when it was rounded to nearest thousandth it became .455 so when i round this to nearest hundredth shoudn't it become .46 ?

suppose X was .4549 so when it is rounded(round up ) to the nearest thousandth it becomes .455 and when finally rounded to nearest hundredth it becomes .46

suppose X was .4554 so when it is rounded( round down) to the nearest thousandth it becomes .455 and when finally rounded to nearest hundredth it becomes .46

Am is missing something here ? can you please elaborate a bit as to why both statements are needed.

I guess , my Question is why should we bother about the digit after the Thousandth digit when stmt1 clearly says that the thousandth digit (post round off) is 5 and asks about the Hundreth digit.


When you have to round a number to the hundredth, you do not have to first round it off to thousandth and then to hundredth. You have to directly round it off to the hundredth.
Forget process. Think logic. Is 0.4549 closer to .45 or .46? It is closer to 0.45 so you will round it off to 0.45
The digit right next to the last digit you want is the only important one. It is incorrect to round off numbers in steps. If you want to round off till hundredth, it has to be done in a single step.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Retired Moderator
avatar
B
Joined: 27 Aug 2012
Posts: 1050
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 18 Jun 2013, 08:59
VeritasPrepKarishma wrote:
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46



Hi Karishma,
So answer would be C I think...Please confirm!
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58434
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 18 Jun 2013, 09:30
debayan222 wrote:
VeritasPrepKarishma wrote:
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46



Hi Karishma,
So answer would be C I think...Please confirm!


Merging topics.

Yes, the correct answer is C.
_________________
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: GMAT Prep DS: When X is rounded  [#permalink]

Show Tags

New post 18 Jun 2013, 09:48
debayan222 wrote:
VeritasPrepKarishma wrote:
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46



Hi Karishma,
So answer would be C I think...Please confirm!


Yes, that's correct.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9704
Location: Pune, India
Re: What is the result when x is rounded to the nearest hundredt  [#permalink]

Show Tags

New post 03 Feb 2016, 00:03
VeritasPrepKarishma wrote:
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46



Quote:
Does it mean that its always necessary to know the orignial value if X in this case and not the rounded value?


Responding to a pm:

You do need the original value to get the "further rounded" value in this case. But it will not always be so.

If you are given that rounded to the nearest thousandth, x = 0.452.
Here, it doesn't matter what the original value of x is.
Rounded to the nearest hundredth, the value of x will be 0.45.

Why? Because the actual value of x could be something like 0.4517 or 0.4523. The thousandth digit will be either 1 or 2. In either case, the hundredth digit will remain 5.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: What is the result when x is rounded to the nearest hundredt  [#permalink]

Show Tags

New post 25 Aug 2016, 21:29
nitindas wrote:
What is the result when x is rounded to the nearest hundredth?

(1) When x is rounded to the nearest thousandth the result is 0.455.
(2) The thousandth digit of x is 5.



Please find the solution as attached.
Attachments

File comment: www.GMATinsight.com
1112.jpg
1112.jpg [ 106.46 KiB | Viewed 10137 times ]


_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13315
Re: What is the result when x is rounded to the nearest hundredt  [#permalink]

Show Tags

New post 20 Oct 2018, 21:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: What is the result when x is rounded to the nearest hundredt   [#permalink] 20 Oct 2018, 21:44
Display posts from previous: Sort by

What is the result when x is rounded to the nearest hundredt

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne