GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 Feb 2020, 02:16

### 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 p is a non-positive number, then for what value of p does the

Author Message
TAGS:

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3256
If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 01:05
12
00:00

Difficulty:

75% (hard)

Question Stats:

36% (01:19) correct 64% (01:24) wrong based on 173 sessions

### HideShow timer Statistics

NUS School Moderator
Joined: 18 Jul 2018
Posts: 1061
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 05:41
|77-6p| is always positive.
Hence We need a number, which results |77-6p| to zero
Hence P should be 77/6
Then |77-6*77/6| = 0

EgmatQuantExpert, I think the P should be a non-negative number.
Intern
Joined: 02 Mar 2019
Posts: 29
Location: India
GMAT 1: 700 Q49 V36
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 06:50
if p is a non positive number then it can be either negative or zero. if we take a negative value for p then the expression will increase. if p=0 then we get the minimum value of expression as 77.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5911
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 09:29
simply plugin answer options and solve ;
we see at B ; 77/6 we get 0 which is min value..
EgmatQuantExpert
question has mentioned p is a non-+ve number so how come option B is +ve? a non+ve number can be any number from range 0 to -infinity isnt it?
i think it should be non- negative number that way range of p will be from 0 to +ve infinity..

EgmatQuantExpert wrote:
If p is a non-positive number, then for what value of p does the expression |77 – 6p| holds the minimum value?

A. 77/12
B. 77/6
C. 12
D. 0
E. -77/6

Senior Manager
Joined: 12 Sep 2017
Posts: 313
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 14:47
If we consider the question just the way it is stated, then it should be D.

D
ISB School Moderator
Joined: 08 Dec 2013
Posts: 699
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

15 May 2019, 15:58
EgmatQuantExpert wrote:
If p is a non-positive number, then for what value of p does the expression |77 – 6p| holds the minimum value?

A. 77/12
B. 77/6
C. 12
D. 0
E. -77/6

Considering the question is correct, p can have values less than zero. For any non negative p, the answer tends towards maximum value-> (77+6p), hence for p=0 it holds the least value of the expression= l77l=77.
OA D.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3256
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

20 May 2019, 03:07

Solution

Given:
In this question, we are given that
• The number p is a non-positive number.

To find:
We need to determine
• The value of p, for which the expression |77 – 6P| holds the minimum value.

Approach and Working:
As we are trying to minimise the value of the expression |77 – 6p|, our aim should be to minimise the value of 77 – 6p.
• The value of 77 – 6p will be minimum, when 6p will be maximum
• The value of 6p will be maximum, when the value of p will be maximum

Now, we also know that p is a non-positive number.
• Therefore, the maximum value of p = 0

Hence, the correct answer is option D.

_________________
Intern
Joined: 14 Jan 2019
Posts: 12
Re: If p is a non-positive number, then for what value of p does the  [#permalink]

### Show Tags

25 May 2019, 05:18
p has to be negative or zero as per question.

Any negative value will add up on top of 77 will give the results which is greater than 77
Only when p = 0 the value of expression becomes 77- 6*0 = 77 which is lowest.

Hence value of p = 0 when the whole expression is minimum = 77
Re: If p is a non-positive number, then for what value of p does the   [#permalink] 25 May 2019, 05:18
Display posts from previous: Sort by