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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Which of the following is an integer?
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13 Feb 2023, 09:15
13 Feb 2023, 09:15
2
Expert Reply
00:00
Question Stats:
50% (00:36) correct
50% (00:43) wrong based on 2 sessions
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Which of the following is an integer?
I. \(\frac{12!}{6!}\)
II. \(\frac{12!}{8!}\)
III. \(\frac{12!}{7!5!}\)
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
I. \(\frac{12!}{6!}\)
II. \(\frac{12!}{8!}\)
III. \(\frac{12!}{7!5!}\)
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
Re: Which of the following is an integer?
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14 Feb 2023, 07:47
14 Feb 2023, 07:47
1
Expert Reply
To me the question looks straight forward.
we know 12! is multiple of all numbers from 1 to 12, so dividing it by 6! or 8! is pretty much sure an integer.
now coming to the 3rd options 12! by 5! leaves 12*11*10*9*8*7*6/1*2*3*4*5*6*7 which results in integer, so the answe E is right
we know 12! is multiple of all numbers from 1 to 12, so dividing it by 6! or 8! is pretty much sure an integer.
now coming to the 3rd options 12! by 5! leaves 12*11*10*9*8*7*6/1*2*3*4*5*6*7 which results in integer, so the answe E is right
gmatclubot
Re: Which of the following is an integer? [#permalink]
14 Feb 2023, 07:47
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