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19 Dec 2016, 05:29
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:20) correct
32%
(02:29)
wrong
based on 476
sessions
History
Date
Time
Result
Not Attempted Yet
For which of the following values of a does (a + 4)(a + 3)(a + 2)(a + 1) = (a + 1)! ?
A. 9
B. 8
C. 7
D. 6
E. 5
A. 9
B. 8
C. 7
D. 6
E. 5
19 Dec 2016, 06:32
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Bunuel
Or (a + 4)(a + 3)(a + 2) = a!
A) 9 + 4 will give us 13 but 9! does not have 13 as a factor. Impossible
B) 8 + 3 will give us 11 but 8! does not have 11 as a factor. Impossible.
C) Same logic 7 + 4 = 11 and 7! does not have 11 as it’s prime factor.
D) 10*9*8 = 720 = 6!
E) 5+2 will give us 7 and 5! Does not have 7 as its prime factor
Answer D
General Discussion
19 Dec 2016, 09:29
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vitaliyGMAT
Perfect solution...
At this point one can start testing the option...
When \(a = 6\)
\((a + 4)(a + 3)(a + 2) = a!\)
Or, \(10*9*8 = 6!\)
Hence, correct answer must be (D) 6
