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01 Dec 2022, 10:49
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
59% (01:18) correct
41%
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Set S consists of n distinct positive integers, none of which is greater than 12. What is the greatest possible value of n if no two integers in S have a common factor greater than 1?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 11
(A) 4
(B) 5
(C) 6
(D) 7
(E) 11
01 Dec 2022, 13:26
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Bunuel
Set S consists of n distinct positive integers, none of which is greater than 12. What is the greatest possible value of n if no two integers in S have a common factor greater than 1?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 11
(A) 4
(B) 5
(C) 6
(D) 7
(E) 11
As no two integers in S have a common factor greater than 1, the set as all co-prime numbers. All the prime numbers can be the member of the set, also 1 can be the member of the set
S = { 1, 2, 3, 5, 7, 11 }
n = 6
Option C
29 May 2023, 20:56
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Take all numbers from (1-12)
{1,2,3,4,5,6,7,8,9,10,11,12)
From here start taking numbers that are co-primes.
Eg: {1,2,3,5,7,11}
{1,2,3,4,5,6,7,8,9,10,11,12)
From here start taking numbers that are co-primes.
Eg: {1,2,3,5,7,11}
