Solutions
Get detailed explanations to advanced GMAT questions.
Question
Which of the following is an integer?
I. 12! / 6! II. 12! / 8! III. 12! / 7!5!
Option A:
I only
Option B:
II only
Option C:
III only
Option D:
I and II only
Option E:
I, II, and III
Difficulty Level
25%Solution
Option E is the right answer.
Option Analysis
12!/6! = 12*11*10*9*8*7*6!/6! = Integer.
12!/8! = 12*11*10*9*8!/8! = Integer.
12!/7!*5! = 12*11*10*9*8/5*4*3*2*1 = integer
All 3 options finally yield an integer.
So, the answer is E.
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