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What is the value of a two-digit positive integer n, where i
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Updated on: 17 Jun 2013, 02:19
Updated on: 17 Jun 2013, 02:19
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Difficulty:
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Question Stats:
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56%
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based on 171
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What is the value of a two-digit positive integer n, where is n<=85.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
Re: What is the value of a two-digit positive integer n, where i
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17 Jun 2013, 02:11
17 Jun 2013, 02:11
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fozzzy
What is the value of a two-digit positive integer n, where is n<=85.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
From F.S 1 , for n = \(2^2*3*5\), the number of factors = 3*2*2 = 12
Again, for n = \(2^3*3^2\), the number of factors = 4*3 = 12
Insufficient.
F. S 2 is clearly Insufficient.
Both combined together, we can use the above 2 examples only, it is again Insufficient.
E.
General Discussion
Re: What is the value of a two-digit positive integer n, where i
[#permalink]
17 Jun 2013, 02:18
17 Jun 2013, 02:18
Expert Reply
mau5
fozzzy
What is the value of a two-digit positive integer n, where is n<=85.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
(1) n has 12 factors, inclusive of 1 and n itself
(2) n is a multiple of 3.
From F.S 1 , for n = \(2^2*3*5\), the number of factors = 3*2*2 = 12
Again, for n = \(2^3*3^2\), the number of factors = 4*3 = 12
Insufficient.
F. S 2 is clearly Insufficient.
Both combined together, we can use the above 2 examples only, it is again Insufficient.
E.
Yes, the answer is E: n could be 60 or 72.
