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27 Apr 2016, 23:32
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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:
15%
(low)
Question Stats:
77% (00:43) correct
23%
(01:01)
wrong
based on 184
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If 5^r is a factor of 30!, which of the following is the maximum possible value of r?
A. 4
B. 5
C. 6
D. 7
E. 8
A. 4
B. 5
C. 6
D. 7
E. 8
28 Apr 2016, 00:37
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Bunuel
5^r is a factor of 30! We need the maximum value of r
Or in other words, we need the maximum power of 5 in 30!
Powers of 5 in 30! = [30/5] + [30/25] = 7, where [x] is the integral part of x
Other way is to calculate the number of 5's in 30!
In the multiplication upto 30, we will encounter: 5, 10, 15, 20, 25, 30
Each of 5, 10, 15, 20, 30 contain one power of 5
25 contains 2 powers of 5.
Hence total powers of 5 in 30!= 5 + 2 = 7
Correct option: D
