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02 May 2016, 22:16
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A
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:
80% (01:35) correct
20%
(02:12)
wrong
based on 10
sessions
History
Date
Time
Result
Not Attempted Yet
If n is an integer and (9! + 8! +7!)/3^n is an integer, what is the largest possible value of n?
A. 6
B. 5
C. 4
D. 3
E. 2
A. 6
B. 5
C. 4
D. 3
E. 2
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Hi there,
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02 May 2016, 22:36
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Bunuel
Hi all,
As I had mentioned in a similar type of Q, do NOT find the minimum of three in any single term and take the answer..
here in that case we will have 3s least in 7! or 8! so 7/3 =2.. ans would be 2.. BUT we have to add and take out COMMON factor to see if by addition is there any extra 3s being added..
so (9! + 8! +7!) = 7!(9*8+8+1) = 7!*81 ..
so number of 3s in 7!*81 = 2+4 = 6------ 2 in 7! and 4 in 81
ans 6..
A
Abhishek009 refer that healthy discssion on 49! and 50!, where there was a post that take the lowest as it was an easy approach...
bethebest
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04 May 2016, 12:39
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chetan2u
How did you get 18??? (red part above) I tried solving this question by finding the maximum nos. of 3 in any one. Can you please explain this? Thank you.!
