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If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\)

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If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\)

by VJesus12 » Mon May 11, 2020 6:37 am

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If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\) where \(k\) is the smallest positive integer such that \(n – 5j = k?\)

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
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Re: If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(

by Scott@TargetTestPrep » Wed May 13, 2020 8:17 am
VJesus12 wrote: ↑
Mon May 11, 2020 6:37 am
 If \(n\) is a three-digit prime number and \(j\) is an integer, which of the following is NOT a possible value of \(k,\) where \(k\) is the smallest positive integer such that \(n – 5j = k?\)

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

[spoiler]OA=E[/spoiler]

Since j is an integer, 5j must either end with 0 or 5. However, since n is a three-digit prime and it can’t end with 0 or 5, n - 5j can’t end with 0 or 5. So k can’t be 5.

Answer: E

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