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05 Jul 2018, 23:38
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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
A) 10
B) 12
C) 14
D) 15
E) 18
06 Jul 2018, 01:17
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GyMrAT
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
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
13 Jun 2019, 00:35
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Bunuel
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
(A) 10
(B) 12
(C) 14
(D) 15
(E) 18
(A) 10-5*2
(B) 12-3*2^2
(C) 14-7*2
(D) 15-5*3
(E) 18-3^2*2
IMO C
