NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 08:24 It is currently 25 Apr 2024, 08:24
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 618955 [7]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Which of the following could be p if |3p – 4| < 1? [#permalink] New post   25 Dec 2016, 02:35
3
Kudos
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

70% (01:08) correct 30% (01:09) wrong based on 471 sessions
Hide Show timer Statistics
Which of the following could be p if |3p – 4| < 1?

A. 1/4
B. 5/4
C. 5/3
D. 0
E. 2
ShowHide Answer
Official Answer
B
User avatar
B
theLucifer
Intern
Intern
Joined: 08 Aug 2016
Posts: 17
Own Kudos [?]: 12 [1]
Given Kudos: 7
Send PM
GMAT ToolKit User
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] New post   25 Dec 2016, 02:45
1
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
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] 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)
User avatar
P
hero_with_1000_faces
Senior Manager
Senior Manager
Joined: 02 Jan 2016
Status:Studying 4Gmat
Posts: 366
Own Kudos [?]: 96 [1]
Given Kudos: 314
Location: India
Concentration: Strategy, Entrepreneurship
Schools: Darden '22 Marshall '22 AGSM '23
GMAT 1: 590 Q37 V33
GPA: 4
WE:Law (Manufacturing)
Send PM
Reviews Badge
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] New post   05 Mar 2018, 09:37
1
Bookmarks
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.
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35490 [2]
Given Kudos: 9464
Send PM
CAT Tests
Which of the following could be p if |3p – 4| < 1? [#permalink] New post   05 Mar 2018, 21:13
2
Bookmarks
Expert Reply
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
User avatar
P
hero_with_1000_faces
Senior Manager
Senior Manager
Joined: 02 Jan 2016
Status:Studying 4Gmat
Posts: 366
Own Kudos [?]: 96 [0]
Given Kudos: 314
Location: India
Concentration: Strategy, Entrepreneurship
Schools: Darden '22 Marshall '22 AGSM '23
GMAT 1: 590 Q37 V33
GPA: 4
WE:Law (Manufacturing)
Send PM
Reviews Badge
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] 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
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6273 [0]
Given Kudos: 1646
Send PM
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] New post   08 Mar 2018, 11:39
Expert Reply
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
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32676
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Which of the following could be p if |3p – 4| < 1? [#permalink] New post   30 Oct 2019, 01:49
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.
GMAT Club Bot
gmatclubot
Re: Which of the following could be p if |3p – 4| < 1? [#permalink]
30 Oct 2019, 01:49
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions