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

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

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New post 15 May 2019, 02:05
12
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

35% (01:20) correct 65% (01:24) wrong based on 164 sessions

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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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New post 15 May 2019, 06:41
|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

B should be the answer.

EgmatQuantExpert, I think the P should be a non-negative number.
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New post 15 May 2019, 07:50
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.
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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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New post 15 May 2019, 10:29
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


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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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

D
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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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New post 15 May 2019, 16:58
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


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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.
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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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New post 20 May 2019, 04:07

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.

Answer: D

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Re: If p is a non-positive number, then for what value of p does the  [#permalink]

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New post 25 May 2019, 06:18
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
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Re: If p is a non-positive number, then for what value of p does the   [#permalink] 25 May 2019, 06:18
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