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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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04 Nov 2016, 07:33
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Question Stats:

46% (00:45) correct 54% (00:45) wrong based on 378 sessions

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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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Joined: 11 Sep 2015
Posts: 4878
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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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04 Nov 2016, 09:43
3
Top Contributor
4
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

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Joined: 02 Sep 2009
Posts: 64240
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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04 Nov 2016, 07:36
1
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.

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Joined: 12 Aug 2015
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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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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

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

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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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.
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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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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.

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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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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

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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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.

So then if the question is rephrased, such that y is an integer, does C becomes that ans?
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Posts: 64240
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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20 Feb 2017, 23:03
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.

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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02 Apr 2020, 02:45
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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] 02 Apr 2020, 02:45