Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Apr 2016, 15:55
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 21 Feb 2009
Posts: 108
Followers: 1

Kudos [?]: 53 [0], given: 4

What is the result when x is rounded to the nearest hundredt [#permalink]

Show Tags

New post 03 Aug 2009, 12:58
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (01:51) correct 52% (00:51) wrong based on 293 sessions

HideShow timer Statictics

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.
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 11 Sep 2009
Posts: 129
Followers: 5

Kudos [?]: 277 [0], given: 6

Re: DS - Digits [#permalink]

Show Tags

New post 26 Oct 2009, 16:47
1
This post was
BOOKMARKED
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.
Manager
Manager
User avatar
Joined: 08 Oct 2009
Posts: 71
Location: Denmark, Europe
Schools: Darden Class of 2012
Followers: 2

Kudos [?]: 23 [0], given: 6

Re: DS - Digits [#permalink]

Show Tags

New post 26 Oct 2009, 16:49
1
This post was
BOOKMARKED
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.
Expert Post
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 02 Aug 2009
Posts: 3165
Followers: 170

Kudos [?]: 1663 [1] , given: 75

Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 02 Jan 2010, 09:14
1
This post received
KUDOS
Expert's post
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!
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Manager
Manager
avatar
Joined: 13 May 2010
Posts: 110
Followers: 2

Kudos [?]: 51 [0], given: 7

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?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32549
Followers: 5631

Kudos [?]: 68313 [0], given: 9797

Re: Rounded X [#permalink]

Show Tags

New post 19 Jun 2010, 06:09
Expert's post
3
This post was
BOOKMARKED
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.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [2] , given: 205

Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 27 Oct 2011, 20:58
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
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
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 25 Dec 2010
Posts: 84
Followers: 0

Kudos [?]: 55 [0], given: 2

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.
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [0], given: 205

Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 28 Oct 2011, 22:40
Expert's post
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
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Expert Post
BSchool Forum Moderator
avatar
Joined: 27 Aug 2012
Posts: 1187
Followers: 117

Kudos [?]: 1126 [0], given: 141

Premium Member
Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 18 Jun 2013, 08:59
Expert's post
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!
_________________

UPDATED : e-GMAT SC Resources-Consolidated || ALL RC Resources-Consolidated || ALL SC Resources-Consolidated || UPDATED : AWA compilations-109 Analysis of Argument Essays || NEW !!! GMAC's IR Prep Tool

GMAT Club guide - OG 11-12-13 || Veritas Blog || Manhattan GMAT Blog


KUDOS please, if you like the post or if it helps :-)

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32549
Followers: 5631

Kudos [?]: 68313 [0], given: 9797

Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 18 Jun 2013, 09:30
Expert's post
1
This post was
BOOKMARKED
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.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [0], given: 205

Re: GMAT Prep DS: When X is rounded [#permalink]

Show Tags

New post 18 Jun 2013, 09:48
Expert's post
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
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9242
Followers: 454

Kudos [?]: 115 [0], given: 0

Premium Member
Re: What is the result when x is rounded to the nearest hundredt [#permalink]

Show Tags

New post 31 Jul 2014, 03:25
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9242
Followers: 454

Kudos [?]: 115 [0], given: 0

Premium Member
Re: What is the result when x is rounded to the nearest hundredt [#permalink]

Show Tags

New post 24 Aug 2015, 02:53
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [0], given: 205

Re: What is the result when x is rounded to the nearest hundredt [#permalink]

Show Tags

New post 03 Feb 2016, 00:03
Expert's post
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
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Re: What is the result when x is rounded to the nearest hundredt   [#permalink] 03 Feb 2016, 00:03
    Similar topics Author Replies Last post
Similar
Topics:
3 If when k is rounded to the nearest unit, the result is equal to the e goodyear2013 4 11 Oct 2014, 12:58
11 Experts publish their posts in the topic If x=y, is it true that x rounded to the nearest tenths is goodyear2013 4 24 Jun 2014, 15:35
9 Experts publish their posts in the topic What number results if the number x is rounded to the Jp27 7 06 Nov 2012, 01:23
21 Experts publish their posts in the topic When the positive number a is rounded to the nearest tenth frankiegar 18 19 Sep 2012, 06:11
2 If x is a positive number, rounded to the nearest integer, banksy 8 14 Feb 2011, 15:44
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.