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The “primeness” of a positive integer x is defined as

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The “primeness” of a positive integer x is defined as  [#permalink]

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New post 05 Jul 2018, 23:38
2
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (00:46) correct 23% (01:04) wrong based on 31 sessions

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The “primeness” of a positive integer x is defined as the positive difference between its largest and smallest prime factors. Which of the following has the greatest primeness?

A) 10

B) 12

C) 14

D) 15

E) 18

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Re: The “primeness” of a positive integer x is defined as  [#permalink]

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New post 06 Jul 2018, 01:17
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GyMrAT wrote:
The “primeness” of a positive integer x is defined as the positive difference between its largest and smallest prime factors. Which of the following has the greatest primeness?

A) 10

B) 12

C) 14

D) 15

E) 18


Greatest primeness=Largest prime factor-smallest prime factor.

Among the options,14 has the largest prime factor as 7 & smallest prime factor as 2

So, greatest primeness=7-2=5

Ans. (C)

A quick check,
A. 5-2=3
B.3-2=1
C.7-2=5
D.5-2=3
E.3-2=1
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Re: The “primeness” of a positive integer x is defined as &nbs [#permalink] 06 Jul 2018, 01:17
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