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What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9

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What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 04 Nov 2016, 07:33
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A
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 04 Nov 2016, 09:43
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stonecold wrote:
What is least possible value of |23 - 7y| is

(A)0
(B)1
(C)2
(D)5
(E)9


The mistake that some people will make is assuming that y is an integer. These people will incorrectly choose answer choice C.

Since y can be ANY number, we can minimize the value of |23 - 7y| by setting 23 - y equal to zero
If 23 - 7y = 0, then 23 = 7y, which means y = 23/7
In other words, when y = 23/7, we find that |23 - 7y| = 0

Answer:
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 04 Nov 2016, 07:36
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What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 04 Nov 2016, 09:53
GMATPrepNow wrote:
stonecold wrote:
What is least possible value of |23 - 7y| is

(A)0
(B)1
(C)2
(D)5
(E)9


The mistake that some people will make is assuming that y is an integer. These people will incorrectly choose answer choice C.

Since y can be ANY number, we can minimize the value of |23 - 7y| by setting 23 - y equal to zero
If 23 - 7y = 0, then 23 = 7y, which means y = 23/7
In other words, when y = 23/7, we find that |23 - 7y| = 0

Answer:



Hi Brent.!!
Can you share you inputs on this one => if-x-is-divisible-by-2-14-and-11-which-of-the-following-must-be-the-228248.html
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 04 Nov 2016, 10:41
Top Contributor
stonecold wrote:


I just added my response to that thread, but you're not going to like my answer :(

Cheers,
Brent - now with 25% more letters!!
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 07 Nov 2016, 09:00
Hi Experts,

What does it mean by "least possible value of |23 - 7y|"?
As I understood, the question is asking which can produce closest distance from 0.
If we pick 0 then the distance from 0 will be +-23.
However, picking 2 produce +-9. Isn't it closer than +-23.
Please help me correct my mistake.
Thanks in advance.
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 07 Nov 2016, 10:52
stonecold wrote:
What is least possible value of |23 - 7y| is

(A)0
(B)1
(C)2
(D)5
(E)9


The smallest possible value of the absolute value of any linear expression is 0. So the answer is 0. As Brent said, be sure to not fall for the trap of thinking that y must be an integer.

Answer: A
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 09 Nov 2016, 18:26
Question doesn't say anything about y strictly being an integer. Therefore, if y=23/7, we'll get 23-23=0

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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 20 Feb 2017, 13:20
Bunuel wrote:
stonecold wrote:
What is least possible value of |23 - 7y| is

(A)0
(B)1
(C)2
(D)5
(E)9


The absolute value cannot be negative but it can be 0, so the least value of |something| is 0.

Answer: A.


So then if the question is rephrased, such that y is an integer, does C becomes that ans?
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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New post 20 Feb 2017, 23:03
alados14 wrote:
Bunuel wrote:
stonecold wrote:
What is least possible value of |23 - 7y| is

(A)0
(B)1
(C)2
(D)5
(E)9


The absolute value cannot be negative but it can be 0, so the least value of |something| is 0.

Answer: A.


So then if the question is rephrased, such that y is an integer, does C becomes that ans?


Yes. The least value of |23 - 7y| when y is an integer is 2, for y = 3.

Here is a question with that constraint: https://gmatclub.com/forum/if-y-is-an-i ... 39867.html

Hope it helps.
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Re: What is least possible value of |23 - 7y| is (A)0 (B)1 (C)2 (D)5 (E)9  [#permalink]

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