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If J is an integer, then the LEAST possible value of |19-7J| is

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If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 30 Jul 2017, 22:07
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If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5
[Reveal] Spoiler: OA

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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 30 Jul 2017, 22:10
When j is equal to 3 we will have the least posible value of 2

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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 30 Jul 2017, 22:18
Skywalker18 wrote:
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5



|19-7J| represents the distance between 19 and 7J on the number line. Now, the distance will be minimized when 7J, which is multiple of 7, is closest to 19. Multiple of 7 which is closest to 19 is 21 (for J=3), so the least distance is 2: |19-21| = 2.
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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 30 Jul 2017, 22:34
Skywalker18 wrote:
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5

When J \(= 2\)

\(7\)J \(= 7 * 2 = 14\)

\(|19-7\)J\(| = |19-14| = |5| = 5\)

When J \(= 3\)

\(7\)J \(= 7 * 3 = 21\)

\(|19-7\)J\(| = |19-21| = |2| = 2\)

Therefore LEAST possible value of \(|19-7\)J\(| = 2\)

Answer (B)...

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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 01 Aug 2017, 10:36
For the value of |19 - 7J| to be , 7J should take a value close to 19. Using J=3, we get 2 as the lowest value.

Answer is B
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Re: If J is an integer, then the LEAST possible value of |19-7J| is [#permalink]

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New post 01 Aug 2017, 17:12
Skywalker18 wrote:
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5


We need to find a value of |19-7J| that is closest to zero.

When J = 2, |19-7J| = |5| = 5.

When J = 3, |19-7J| = |-2| = 2.

Thus, the least possible value of |19-7J| is 2.

Answer: B
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Re: If J is an integer, then the LEAST possible value of |19-7J| is   [#permalink] 01 Aug 2017, 17:12
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