Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 02:12

### 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

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56261
Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

25 Dec 2016, 02:35
3
2
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:03) correct 23% (01:10) wrong based on 329 sessions

### HideShow 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

_________________
Intern
Joined: 08 Aug 2016
Posts: 18
Re: Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

25 Dec 2016, 02:45
1
|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
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

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
Joined: 02 Jan 2016
Posts: 124
Re: Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

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.
Senior SC Moderator
Joined: 22 May 2016
Posts: 3076
Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

05 Mar 2018, 21:13
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
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Manager
Joined: 02 Jan 2016
Posts: 124
Re: Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

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
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: Which of the following could be p if |3p – 4| < 1?  [#permalink]

### Show Tags

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.

_________________

# Jeffrey Miller

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.

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