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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.

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.

Re: GMAT Prep DS: When X is rounded [#permalink]
02 Jan 2010, 08:14

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!

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?

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.

Re: GMAT Prep DS: When X is rounded [#permalink]
27 Oct 2011, 19:58

2

This post received KUDOS

Expert's post

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 _________________

Re: GMAT Prep DS: When X is rounded [#permalink]
28 Oct 2011, 20:26

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.

Re: GMAT Prep DS: When X is rounded [#permalink]
28 Oct 2011, 21:40

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. _________________

Re: GMAT Prep DS: When X is rounded [#permalink]
18 Jun 2013, 07:59

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! _________________

Re: GMAT Prep DS: When X is rounded [#permalink]
18 Jun 2013, 08:30

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!

Re: GMAT Prep DS: When X is rounded [#permalink]
18 Jun 2013, 08:48

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!

Re: What is the result when x is rounded to the nearest hundredt [#permalink]
31 Jul 2014, 02:25

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. _________________

Hey, Last week I started a few new things in my life. That includes shifting from daily targets to weekly targets, 45 minutes of exercise including 15 minutes of yoga, making...

This week went in reviewing all the topics that I have covered in my previous study session. I reviewed all the notes that I have made and started reviewing the Quant...

I started running as a cross country team member since highshcool and what’s really awesome about running is that...you never get bored of it! I participated in...