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05 Apr 2022, 07:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:01) correct
27%
(01:26)
wrong
based on 210
sessions
History
Date
Time
Result
Not Attempted Yet
What is the largest positive integer n for which 20! is a multiple of 2^n ?
(A) 10
(B) 15
(C) 17
(D) 18
(E) 20
(A) 10
(B) 15
(C) 17
(D) 18
(E) 20
05 Apr 2022, 07:25
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20/2 = 10
20/4 = 5
20/8 = 2
20/16 = 1
Total = 18
Posted from my mobile device
20/4 = 5
20/8 = 2
20/16 = 1
Total = 18
Posted from my mobile device
05 Apr 2022, 09:45
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Bunuel
The question basically asks for the number of 2's in 20!
Power 2^1 - 20/2 = 10
Power 2^2 - 20/4 = 5
Power 2^3 - 20/8 = 2
Power 2^4 - 20/16 = 1
Power 2^5 is 32 that is greater than 20. So the answer is 18 (C)
