GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2019, 00:50

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

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

If |y /2- 1/6| < 2/3, then y could be all of the following except?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Current Student
Joined: 12 Aug 2015
Posts: 2551
Schools: Boston U '20 (M)
GRE 1: Q169 V154
If |y /2- 1/6| < 2/3, then y could be all of the following except?  [#permalink]

Show Tags

Updated on: 14 Jun 2017, 22:10
1
12
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:59) correct 32% (01:54) wrong based on 334 sessions

HideShow timer Statistics

If $$|\frac{y}{2}- \frac{1}{6}| < \frac{2}{3}$$, then y could be all of the following EXCEPT

A. $$-\frac{4}{3}$$

B. $$-\frac{5}{6}$$

C. 0

D. $$\frac{5}{6}$$

E. $$\frac{4}{3}$$

_________________

Originally posted by stonecold on 14 Jun 2017, 19:05.
Last edited by Bunuel on 14 Jun 2017, 22:10, edited 1 time in total.
Renamed the topic and edited the question.
Director
Joined: 04 Dec 2015
Posts: 734
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: If |y /2- 1/6| < 2/3, then y could be all of the following except?  [#permalink]

Show Tags

14 Jun 2017, 19:37
3
stonecold wrote:

$$|\frac{y}{2} - \frac{1}{6}| < \frac{2}{3}$$

Case 1: $$\frac{y}{2} - \frac{1}{6} <\frac{2}{3}$$
$$\frac{y}{2} < \frac{2}{3} + \frac{1}{6}$$
$$\frac{y}{2} < \frac{4+ 1}{6}$$
$$\frac{y}{2} < \frac{5}{6}$$
$$y<\frac{5}{3}$$

Case 2: $$- (\frac{y}{2} - \frac{1}{6}) < \frac{2}{3}$$
$$-\frac{y}{2} + \frac{1}{6} < \frac{2}{3}$$
$$-\frac{y}{2} < \frac{2}{3} - \frac{1}{6}$$
$$-\frac{y}{2} < \frac{4 - 1}{6}$$
$$-\frac{y}{2} < \frac{3}{6}$$
$$-\frac{y}{2} < \frac{1}{2}$$
$$-y < 1$$
$$y > -1$$

Value of $$y ==> -1 < y < \frac{5}{3}$$

Values which come between this range are $$-\frac{5}{6}, 0, \frac{5}{6}, \frac{4}{3}.$$

Therefore y cannot be $$-\frac{4}{3}$$. Answer A...
Math Expert
Joined: 02 Sep 2009
Posts: 59685
Re: If |y /2- 1/6| < 2/3, then y could be all of the following except?  [#permalink]

Show Tags

14 Jun 2017, 22:11
1
stonecold wrote:
If $$|\frac{y}{2}- \frac{1}{6}| < \frac{2}{3}$$, then y could be all of the following EXCEPT

A. $$-\frac{4}{3}$$

B. $$-\frac{5}{6}$$

C. 0

D. $$\frac{5}{6}$$

E. $$\frac{4}{3}$$

Similar question: https://gmatclub.com/forum/if-y-1-2-11- ... 36878.html
_________________
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2809
Re: If |y /2- 1/6| < 2/3, then y could be all of the following except?  [#permalink]

Show Tags

06 Jul 2017, 17:35
stonecold wrote:
If $$|\frac{y}{2}- \frac{1}{6}| < \frac{2}{3}$$, then y could be all of the following EXCEPT

A. $$-\frac{4}{3}$$

B. $$-\frac{5}{6}$$

C. 0

D. $$\frac{5}{6}$$

E. $$\frac{4}{3}$$

For this absolute value problem, we have two cases to consider: when (y/2 - ⅙) is positive and when (y/2 - ⅙) is negative. Let’s start with the positive case:

Case 1: (y/2 - ⅙) is positive

y/2 - 1/6 < 2/3

Multiplying by 6, we have:

3y - 1 < 4

3y < 5

y < 5/3

Case 2: (y/2 - ⅙) is negative

-(y/2 - ⅙) < 2/3

-y/2 + 1/6 < ⅔

Multiplying by 6, we have:

-3y + 1 < 4

-3y < 3

y > -1

Thus, -1 < y < 5/3. Thus, y cannot be -4/3.

_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 13744
Re: If |y /2- 1/6| < 2/3, then y could be all of the following except?  [#permalink]

Show Tags

19 Mar 2019, 09:21
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 /2- 1/6| < 2/3, then y could be all of the following except?   [#permalink] 19 Mar 2019, 09:21
Display posts from previous: Sort by

If |y /2- 1/6| < 2/3, then y could be all of the following except?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne