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What is least possible value of |23 - 7y| is
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22 Jul 2022, 06:33
22 Jul 2022, 06:33
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50% (00:35) correct
50% (00:43) wrong based on 22 sessions
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The least possible value of |23 - 7y| is
(A)0
(B)1
(C)2
(D)5
(E)9
(A)0
(B)1
(C)2
(D)5
(E)9
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: What is least possible value of |23 - 7y| is
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22 Jul 2022, 06:44
22 Jul 2022, 06:44
3
Carcass wrote:
The least possible value of |23 - 7y| is
(A)0
(B)1
(C)2
(D)5
(E)9
(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: A
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Re: What is least possible value of |23 - 7y| is
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26 Aug 2022, 08:34
26 Aug 2022, 08:34
1
We need to find the least possible value of |23 - 7y|
Now, |23 - 7y| is Absolute Value/Modulus of a number and we know that Absolute Value of any number is always ≥ 0
=> Minimum value of |23 - 7y| will be close to zero
=> 23 - 7y should be close to 0
Since, it is NOT given that y is an integer so y can take fractional values too
=> 23 - 7y = 0
=> y = \(\frac{23}{7}\)
=> Minimum value of |23 - 7y| = | 0| = 0 when y = \(\frac{23}{7}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Absolute Value Problems
Now, |23 - 7y| is Absolute Value/Modulus of a number and we know that Absolute Value of any number is always ≥ 0
=> Minimum value of |23 - 7y| will be close to zero
=> 23 - 7y should be close to 0
Since, it is NOT given that y is an integer so y can take fractional values too
=> 23 - 7y = 0
=> y = \(\frac{23}{7}\)
=> Minimum value of |23 - 7y| = | 0| = 0 when y = \(\frac{23}{7}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Absolute Value Problems
