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:

If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

23 May 2010, 09:06

1

This post received KUDOS

23

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

84% (00:43) correct 16% (00:41) wrong based on 1242 sessions

HideShow timer Statistics

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

(1) 5x + 1 = 3 + 2x

(2) 0 < x < 1

hello GMAT guy!!

well i m confused about a certain problem [ 100th data sufficieny on OG 12th ed] here they define x as a integer but in the explanation they solve it as if x is is a fraction not an integer...can any one have better explanation...

Re: How x become fraction if its been said an integer [#permalink]

Show Tags

23 May 2010, 09:30

1

This post received KUDOS

1

This post was BOOKMARKED

musabber wrote:

hello GMAT guy!!

well i m confused about a certain problem [ 100th data sufficieny on OG 12th ed] here they define x as a integer but in the explanation they solve it as if x is is a fraction not an integer...can any one have better explanation...

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?[data suff prob number 100 from OG 12th edition]

(1) 5x + 1 = 3 + 2x

(2) 0 < x < 1

x is not defined as an integer here. the function [x] is defined as an integer, therefore x can be a fraction

[4] = 4 [4.9] = 4 [3/2] = 1

get it?
_________________

If you like my post, a kudos is always appreciated

well i m confused about a certain problem [ 100th data sufficieny on OG 12th ed] here they define x as a integer but in the explanation they solve it as if x is is a fraction not an integer...can any one have better explanation...

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?[data suff prob number 100 from OG 12th edition]

(1) 5x + 1 = 3 + 2x

(2) 0 < x < 1

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

Here \(x\) is not said to be an integer. Stem defines some function, represented by the symbol \([]\), as the function which rounds down any number to an integer value:

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ? (1) 5x + 1 = 3 + 2x (2) 0 < x < 1

The answer mentions that this [x] = 0 is equivalent to 0 ≤ x < 1.

I have hard time understanding it.

What would be [x] = 5 ?

5 <= x < 6 ???

Merging similar topics. Please refer to the solution above.

As for your question: If \([x]=5\) then yes, \(5\leq{x}<6\), as ANY \(x\) from this range if round down to the integer gives 5. The same way if \([x]=0\) then \(0\leq{x}<1\), as ANY \(x\) from this range if round down to the integer gives 0.

Re: How x become fraction if its been said an integer [#permalink]

Show Tags

29 Oct 2010, 22:02

Thanks Bunuel for the answer & merging my question with other questions. I understand the the lower limit but find it hard to grasp the upper limit. can the upper limit always be x+1 for [x] ?

Thanks Bunuel for the answer & merging my question with other questions. I understand the the lower limit but find it hard to grasp the upper limit. can the upper limit always be x+1 for [x] ?

No upper limit is not x+1 for [x]. For example if [x]=5 then x<6 because if it's more than or equal to 6 then 5 won't be the greatest integer less than or equal to x.

I've seen this exact formula used before. Basically, they are just telling you that the brackets mean to round down to the nearest integer. The solution above is correct. Both statements indicate that x is a fraction between 0 and 1, and would therefore round down to 0.
_________________

Dmitry Farber | Manhattan GMAT Instructor | New York

Pike, you can't rephrase as "is x<1?", or you'll hurt the negative numbers' feelings! For instance, if x = -2.5, then [x] = -3, not 0.
_________________

Dmitry Farber | Manhattan GMAT Instructor | New York

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

18 Dec 2012, 01:12

What value of x would give [x]=0? According to the rule given in the problem: [x] denotes the greatest integer less than or equal to x. \(0<= x < 1\) will give us [x] = 0.

(1) 5x + 1 = 3 + 2x 3x = 2 x = 2/3 which satisfies 0 <= x < 1 Thus SUFFICIENT.

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

21 May 2014, 07:18

Why bother solve statement-1? From st-1 we can tell that we will get the exact value of 'x' for sure and that's all we need to answer the question one way or the other. So sufficient. Is my logic right mods?
_________________

Please contact me for super inexpensive quality private tutoring

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

Why bother solve statement-1? From st-1 we can tell that we will get the exact value of 'x' for sure and that's all we need to answer the question one way or the other. So sufficient. Is my logic right mods?

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

13 Aug 2014, 10:20

1

This post received KUDOS

musabber wrote:

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?

(1) 5x + 1 = 3 + 2x

(2) 0 < x < 1

hello GMAT guy!!

well i m confused about a certain problem [ 100th data sufficieny on OG 12th ed] here they define x as a integer but in the explanation they solve it as if x is is a fraction not an integer...can any one have better explanation...

For what it's worth, I learned the 'greatest integer less than or equal to' function as the 'floor' function, and the 'least integer greater than or equal to' as the 'ceiling' function. It's an image that really helps me.

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

21 Aug 2015, 02:08

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: If [x] denotes the greatest integer less than or equal to x [#permalink]

Show Tags

19 Dec 2015, 06:52

1

This post was BOOKMARKED

Statement 1, on solving, gives x=0.66. The greatest integer smaller than that is 0. Sufficient

Statement 2 implies the value to be any decimal that one can conjure from the imagination with a calue less than 1 and more than 0. In that case too, the greatest integer less than the value is 0. Hence, Sufficient.