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 500,000 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:

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

19 Sep 2012, 07:25

5

This post received KUDOS

Assume a = x.yz, b = x.t (1) When a is rounded to the nearest integer, the result is less than a => y is equal to or less than 4. INSUFFICIENT. (2) When b is rounded to the nearest integer, the result is greater than b. => t must be at least 5. We cannot find y.

(1) & (2): y must be 4 so that t will be at least 5 when a is rounded to the nearest tenth. => The answer is C.
_________________

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

19 Sep 2012, 07:39

doraemonbeo wrote:

Assume a = x.yz, b = x.t (1) When a is rounded to the nearest integer, the result is less than a => y is equal to or less than 4. INSUFFICIENT. (2) When b is rounded to the nearest integer, the result is greater than b. => t must be at least 5. We cannot find y.

(1) & (2): y must be 4 so that t will be at least 5 when a is rounded to the nearest tenth. => The answer is C.

Thanks.

But when t is 5, if we round it to the nearest integer result will be higher than a.

Think about x.45

Round it to nearest tenth===> x.5 Round it to the nearest integer===>x+1

in that case result is higher than a. Am I missing some point?

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

19 Sep 2012, 09:02

1

This post received KUDOS

frankiegar wrote:

doraemonbeo wrote:

Assume a = x.yz, b = x.t (1) When a is rounded to the nearest integer, the result is less than a => y is equal to or less than 4. INSUFFICIENT. (2) When b is rounded to the nearest integer, the result is greater than b. => t must be at least 5. We cannot find y.

(1) & (2): y must be 4 so that t will be at least 5 when a is rounded to the nearest tenth. => The answer is C.

Thanks.

But when t is 5, if we round it to the nearest integer result will be higher than a.

Think about x.45

Round it to nearest tenth===> x.5 Round it to the nearest integer===>x+1

in that case result is higher than a. Am I missing some point?

t is the tenth digit of b, not a Moreover, you mustn't round it twice. When x.45 is rounded to the nearest tenth, the result is x.5, but when it is rounded to the nearest integer, it is x.
_________________

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

19 Sep 2012, 10:11

doraemonbeo wrote:

frankiegar wrote:

doraemonbeo wrote:

Assume a = x.yz, b = x.t (1) When a is rounded to the nearest integer, the result is less than a => y is equal to or less than 4. INSUFFICIENT. (2) When b is rounded to the nearest integer, the result is greater than b. => t must be at least 5. We cannot find y.

(1) & (2): y must be 4 so that t will be at least 5 when a is rounded to the nearest tenth. => The answer is C.

Thanks.

But when t is 5, if we round it to the nearest integer result will be higher than a.

Think about x.45

Round it to nearest tenth===> x.5 Round it to the nearest integer===>x+1

in that case result is higher than a. Am I missing some point?

t is the tenth digit of b, not a Moreover, you mustn't round it twice. When x.45 is rounded to the nearest tenth, the result is x.5, but when it is rounded to the nearest integer, it is x.

Wow thanks my friend. Is it a rule in GMAT, the one about rounding twice?

Bc in statistics I always regard 0.45 as 1 if I round it

But when t is 5, if we round it to the nearest integer result will be higher than a.

Think about x.45

Round it to nearest tenth===> x.5 Round it to the nearest integer===>x+1

in that case result is higher than a. Am I missing some point?

t is the tenth digit of b, not a Moreover, you mustn't round it twice. When x.45 is rounded to the nearest tenth, the result is x.5, but when it is rounded to the nearest integer, it is x.

Wow thanks my friend. Is it a rule in GMAT, the one about rounding twice?

Bc in statistics I always regard 0.45 as 1 if I round it

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: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

19 Sep 2012, 22:32

frankiegar wrote:

When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a?

(1) When a is rounded to the nearest integer, the result is less than a.

(2) When b is rounded to the nearest integer, the result is greater than b.

Any suggestions?

Best,

Let a = n.xy Let b = n.r (r could be =x or =x+1)

What is x?

(1) a rounded becomes n. This means x is less than 1,2,3,4. (2) b rounded becomes n+1. this means r is equal or greater than 5. Still haven't resolved whether r is equal to x or an increment of x.

Together, (1) x is 1,2,3, or 4 (2) r is equal or greater than 5. But r is either an increment or equal x. It's obvious that r is not equal to its largest possible value 4. Then, r is an increment from 4. So x is 4.
_________________

1/ When a is rounded to the nearest integer, the result is less than a. ->

so a can be x.01 to x.49 so tenths digit of a (i.e y) can be anywer between 0 to 4 NS

2/ When b is rounded to the nearest integer, the result is greater than b.

b=x.y so y can be anywer between 5 to 9.

What's wrong with my interpretation of statement 2? Stat1 gives 0<= y < 4 and stat 2 gives 5 <= y < 9

so a can be x.01 to x.49 - 0<= y <= 4 - y can also be 4

(2) b=x.y - b was obtained by rounding a to the nearest tenth. So, the tenths digit of b isn't necessarily the same as the tenths digit of a. We can just say that the tenths digit of b is at least 5.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

18 Oct 2012, 04:19

2

This post received KUDOS

1) the tenths digit of a could be 0,1,2,3,4. Insufficient 2) the tenths digit of b could be 5,6,7,8,9 and hence the tenths digit of a could be 4,5,6,7,8,9. Insufficient

1 & 2 together. Only one number overlaps both sets. So answer is 4 and hence C.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

18 Oct 2012, 10:37

Sorry, not getting this. if A=X.YZ, 'Y' is the unit place and 'Z' is the tenth place right? if so, why not 'A' be say 5.61, then 'B' will be 5.6 and obviously 5.6<5.61 then 'C' will be 6 and obviously 6>5.6. So it is possible for the tenth place 'Z' from above to be anything from 0 through 4. Right? So the answer is 'E' right? By looking at many of you confirming the answer to be 'C' I'm probably wrong. Please explain.

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

18 Oct 2012, 10:48

1022lapog wrote:

Sorry, not getting this. if A=X.YZ, 'Y' is the unit place and 'Z' is the tenth place right? if so, why not 'A' be say 5.61, then 'B' will be 5.6 and obviously 5.6<5.61 then 'C' will be 6 and obviously 6>5.6. So it is possible for the tenth place 'Z' from above to be anything from 0 through 4. Right? So the answer is 'E' right? By looking at many of you confirming the answer to be 'C' I'm probably wrong. Please explain.

Sorry, not getting this. if A=X.YZ, 'Y' is the unit place and 'Z' is the tenth place right? - NO

X - units Y - tenths Z - hundreths
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

25 Feb 2013, 13:28

When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a?

Let a=x.yz b=x.n

Now, when a is rounded to the nearest tenth, the result is b. So, be must have only the tenth place in the decimal form and no hundreds place.

(1) When a is rounded to the nearest integer, the result is less than a.

Now, if rounding a to the nearest integer should give a value less than a, then y<=4. Consider a=5.41. Rounding a to the nearest tenth would give, a=5. However this is INSUFFICIENT to find the value of the tenth digit of a.

(2) When b is rounded to the nearest integer, the result is greater than b.

Now, when b is rounded to the nearest integer, the result >b. This is possible only if n>=5. Try a similar example as stated above

Together,

We need to find a with y<=4 and b with n>=5 so that when we round a to the nearest tenth, the answer is b.

The tenth value of b >=5. Now what possible value could a's tenth place have so that when it is rounded off, the value must be >=5. We know that the maximum value y could have is 4 and if z>5, then y could be rounded off to 5 right?

Hence, c is the solution.

Hope this helps! Let me know if I could help any further.

mun23 wrote:

i have understand explanation of statement 1 and statement 2 but not understanding how c is answer.can u explain me in details plz

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

11 May 2014, 15:16

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.
_________________

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

26 May 2014, 12:33

MacFauz wrote:

1) the tenths digit of a could be 0,1,2,3,4. Insufficient 2) the tenths digit of b could be 5,6,7,8,9 and hence the tenths digit of a could be 4,5,6,7,8,9. Insufficient

1 & 2 together. Only one number overlaps both sets. So answer is 4 and hence C.

Hi MacFauz,

In statement 2, how do you get a to be 4,5,6,7,8,9 from knowing B? Wouldn't the tenths digit of a just be 4,5,6,7, and 8. It can't have a 9 in there or am I missing something?

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

30 Jun 2015, 10:59

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.
_________________

Re: When the positive number a is rounded to the nearest tenth [#permalink]

Show Tags

27 Aug 2016, 17:53

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.
_________________

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...