GMAT Changed on April 16th - Read about the latest changes here

It is currently 25 May 2018, 05:46

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of the following could be p if |3p – 4| < 1?

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45422
Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 25 Dec 2016, 02:35
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

73% (00:46) correct 27% (00:41) wrong based on 270 sessions

HideShow timer Statistics

1 KUDOS received
Intern
Intern
avatar
B
Joined: 08 Aug 2016
Posts: 18
GMAT ToolKit User Premium Member
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 25 Dec 2016, 02:45
1
This post received
KUDOS
|3p-4| <1
=-1< 3p-4 <1
= 3<3p<5
= 1< P<5/3

So ans is (B) which satisfies the above equation

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
_________________

कर्मणयेवाधिकारस्ते मा फलेषु कदाचन|

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3457
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 15 Jan 2018, 09:48
Bunuel wrote:
Which of the following could be p if |3p – 4| < 1?

A. 1/4
B. 5/4
C. 5/3
D. 0
E. 2

No need to solve this question , just plug in and check ( 10 sec) answer will definitely be (B)

\(\frac{3*5}{4} - 4\)

= \(\frac{1}{4}\), answer will be clearly (B)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Manager
avatar
B
Joined: 02 Jan 2016
Posts: 52
Reviews Badge
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 05 Mar 2018, 09:37
Can someone please, explain my mistake:

Which of the following could be p if |3p – 4| < 1?

A. 1/4 B. 5/4 C. 5/3 D. 0 E. 2

a. |3p – 4| < 1; 3p < 1 + 4; p <5/3

b. |3p – 4| < 1; 3p <-1 + 4; p < 3/3; p < 1

I selected 1/4, being more restricitive.
SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1674
Premium Member CAT Tests
Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 05 Mar 2018, 21:13
1
This post was
BOOKMARKED
hero_with_1000_faces wrote:
Can someone please, explain my mistake:

Which of the following could be p if |3p – 4| < 1?

A. 1/4 B. 5/4 C. 5/3 D. 0 E. 2

a. |3p – 4| < 1; 3p < 1 + 4; p <5/3

b. |3p – 4| < 1; 3p <-1 + 4; p < 3/3; p < 1

I selected 1/4, being more restricitive.

Highlighted part is incorrect.

If you open brackets with a < sign. . .

Case 1: absolute value < RHS
3P - 4 < 1
3P < 5
P < \(\frac{5}{3}\)

Case 2: absolute value > -RHS
3P - 4 > -1
3P > 3
P > 1

and
P < \(\frac{5}{3}\)

1 < P < \(\frac{5}{3}\)

P has to fall between 1 and \(\frac{5}{3}\)

Only \(\frac{5}{4}\) does that.

0 and \(\frac{1}{4}\) are too small.

\(\frac{5}{3}\) and 2 are too great.

Easy mistake to make in the arithmetic. :-) Hope that helps
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Manager
Manager
avatar
B
Joined: 02 Jan 2016
Posts: 52
Reviews Badge
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 05 Mar 2018, 23:33
generis Thank you for your kind explanation. I have read Manhattan, gone through magoosh videos and still had a flawed understanding. Thank You.




generis wrote:
hero_with_1000_faces wrote:
Can someone please, explain my mistake:

Which of the following could be p if |3p – 4| < 1?

A. 1/4 B. 5/4 C. 5/3 D. 0 E. 2

a. |3p – 4| < 1; 3p < 1 + 4; p <5/3

b. |3p – 4| < 1; 3p <-1 + 4; p < 3/3; p < 1

I selected 1/4, being more restricitive.

Highlighted part is incorrect.

If you open brackets with a < sign. . .

Case 1: absolute value < RHS
3P - 4 < 1
3P < 5
P < \(\frac{5}{3}\)

Case 2: absolute value > -RHS
3P - 4 > -1
3P > 3
P > 1

and
P < \(\frac{5}{3}\)

1 < P < \(\frac{5}{3}\)

P has to fall between 1 and \(\frac{5}{3}\)

Only \(\frac{5}{4}\) does that.

0 and \(\frac{1}{4}\) are too small.

\(\frac{5}{3}\) and 2 are too great.

Easy mistake to make in the arithmetic. :-) Hope that helps
Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2442
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]

Show Tags

New post 08 Mar 2018, 11:39
Bunuel wrote:
Which of the following could be p if |3p – 4| < 1?

A. 1/4
B. 5/4
C. 5/3
D. 0
E. 2


Scanning our answer choices, we see that answer choice B is correct.

|3(5/4) - 4| < 1

|15/4 - 4| < 1

|15/4 - 16/4| < 1

|-1/4| < 1

1/4 < 1

Alternate Solution:

In order for the absolute value of an expression to be less than 1, the value of the expression itself must be between -1 and 1; in other words, we must have:

-1 < 3p - 4 < 1

3 < 3p < 5

1 < p < 5/3

5/4 is the only value amongst the answer choices that is included in this interval.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Which of the following could be p if |3p – 4| < 1?   [#permalink] 08 Mar 2018, 11:39
Display posts from previous: Sort by

Which of the following could be p if |3p – 4| < 1?

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


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.