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:

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 03:58

1

This post received KUDOS

Expert's post

3

This post was BOOKMARKED

SOLUTION

If y is an integer, then the least possible value of |23 - 5y| is

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

\(|23-5y|\) represents the distance between 23 and \(5y\) on the number line. Now, the distance will be minimized when \(5y\), which is multiple of 5, is closest to 23. Multiple of 5 which is closest to 23 is 25 (for \(y=5\)), so the least distance is 2: \(|23-25|=2\).

This is a rather simple problem that can be figured out well under the 2 minute allowance - that said, it is a bit of a trap if you're not paying attention, and mark 5 instead of 2, as 5 is the value of y that yields the answer of 2. _________________

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

\(|23-5y|\) is the distance between \(23\) and the integer multiple of \(5\), \(5y\). So, the question is asking for the smallest distance between a multiple of \(5\) and \(23\). Since \(20=4\cdot5<23<5\cdot5=25\) and \(23\) is closer to \(25\) than to \(20\), the answer is \(|23-25|=2\).

Answer B. _________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 18:40

2

This post received KUDOS

1

This post was BOOKMARKED

If y is an integer, then the least possible value of |23 - 5y| is (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

The integers which are multiple of 5 & closest to 23 on the number line are either 20 or 25. Thus the minimum distance possible is 2 units Answer B _________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
02 Oct 2012, 05:14

1

This post received KUDOS

1

This post was BOOKMARKED

Since absolute value stands for the distance on the number line. The question asks for a shortest distance between 23 and a multiple of 5. 25 is the multilple of 5 that is closest to 23 with a shortest distance of 2. 5 is the value of y that shall yield 25 and hence the answer is E

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
04 Oct 2012, 12:55

Expert's post

SOLUTION

If y is an integer, then the least possible value of |23 - 5y| is

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

\(|23-5y|\) represents the distance between 23 and \(5y\) on the number line. Now, the distance will be minimized when \(5y\), which is multiple of 5, is closest to 23. Multiple of 5 which is closest to 23 is 25 (for \(y=5\)), so the least distance is 2: \(|23-25|=2\).

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone. _________________

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
09 Nov 2013, 23:29

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 y is an integer, then the least possible value of |23-5| [#permalink]
24 Nov 2014, 09:22

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 y is an integer, then the least possible value of |23-5| [#permalink]
17 Feb 2015, 19:16

for this question i just asked myself, what multiple of 5 is closest to 23, which would be 25 and that is 2 digits away from 23 hence the answer is 2 . when i see an abs() question i always think in terms of distance

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
26 May 2015, 04:50

When they asked least possible value, I was thinking of the value with the lowest probability and figured it could either be 1 4 and 5. Didnt think that they were asking what is the closest value

Re: If y is an integer, then the least possible value of |23-5| [#permalink]
26 May 2015, 09:21

Expert's post

Hi Psy881212,

GMAT writers are never trying to 'trick' you, so 'Probability' questions on the GMAT almost always include the word "probability" in the prompt. Here, the phrase "least possible value" means "smallest value that you can possibly end with given the restrictions in the prompt" (it does NOT mean "least likely value"). As you continue to practice with Official materials, you'll get a better sense of the 'style' that GMAT writers use (and that familiarity will lead to certain advantages on Test Day).

Interested in applying for an MBA? In the fourth and final part of our live QA series with guest expert Chioma Isiadinso, co-founder of consultancy Expartus and former admissions...