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01 Jul 2018, 02:38
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:31) correct
21%
(01:54)
wrong
based on 188
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For a positive inteer n, if p is the product of all the integers from 1 to n, inclusive, and is divisible by 1,560, what is the least possible value of n?
A. 9
B. 10
C. 11
D. 12
E. 13
A. 9
B. 10
C. 11
D. 12
E. 13
I was able to find out that n at least must be a 13 to have a product that is divisible by 1560 but then the question what is the LEAST possible value made me understand that they are asking for the n that is unlikely to get us such number. I was completely lost because all ABCD are correct answers. I just picked the smallest and looked at the answer which indicated the answer as E.
If answer is E, then the question probably should have sounded like "What is the smallest possible value of n"
Am I right? Please advise.
Alex
If answer is E, then the question probably should have sounded like "What is the smallest possible value of n"
Am I right? Please advise.
Alex
01 Jul 2018, 03:34
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alexlearning17
\(p = n!\)
\(1560 = 2^3 * 3 * 5 * 13\)
For \(p\) to be divisible by 1560, \(n!\) must include 13.
A, B, C and D imply that n! = 9!, 10!, 11! or 12!.
Since none of these options for n! will include 13, eliminate A, B, C and D.
Quote:
least possible value is common wording and conveys the same meaning as smallest possible value.
An OG problem that asks for the least possible value:
https://gmatclub.com/forum/if-y-is-an-i ... 39867.html
