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27 Dec 2016, 09:02
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Difficulty:
25%
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Question Stats:
68% (01:01) correct
32%
(01:03)
wrong
based on 138
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What is the greatest value of x such that 10^x is a factor of 20! ?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
27 Dec 2016, 11:00
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Bunuel
What is the greatest value of x such that 10^x is a factor of 20! ?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
As 10^x=2^x*5^x
thus no. of 5's determine 10's in 20!
20/5=4
thus x=4
Ans D
27 Dec 2016, 11:16
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Bunuel
What is the greatest value of x such that 10^x is a factor of 20! ?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
10 = 2*5
The highest value of 2 in 20! will be - 18
20/2 = 10
10/2 = 5
5/2 = 2
2/2 = 1
The highest value of 5 in 20! will be - 4
20/5 = 4
Since, there are fewer 5's than 2 , the greatest value of x such that 10^x is a factor of 20! will be x = 4
Hence, correct answer will be (D) 4
