Latest TCS Aptitude Question SOLUTION: n!has 13 zeros what is the highest & lowest value of n??

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(#M40011737) TCS question Keep an EYE

n!has 13 zeros what is the highest & lowest value of n??

Asked In TCS Arit (12 years ago)

Unsolved Read Solution (7)

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ankit shukla  (12 years ago)

55/(5^1) + 55 /(5^2) =13 (for 55! value)
so the range lies on btwn 55 ----59

Is this solution Helpfull? Yes (29) | No (1)  

udit narayana  (12 years ago)

5! = 120 (hence one 0)
10! = (there are 2)
15! = 3 zeros
20! = 4
30! = 6
40! = 8
50! = 10
60! = 12
65! = 13
70! = 14

hence highest value is 69!
lowest value is 65!

Is this solution Helpfull? Yes (23) | No (22)  

Divya  (12 years ago)

59 AND 55
ans:
55/5=11
11/5=2
(IT WILL HAVE 13 ZEROS AT THE END)
SIMILARLY FOR 56,57,58,59..

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Sw@ti..  (12 years ago)

min=65
max=69

Is this solution Helpfull? Yes (2) | No (13)  

rama krishna  (9 years ago)

In any product a zero will occur when ever a 2 and a 5 is multiplied. so number of zeros depends on number of 2's and equal number of 5's. As n! has 13 zeros, it must have 13 - 5's and 13 - 2's. 55! has 13 - 5's and 50 - 2's, but, only 13 zero's will occur.so, minimum value of n is 55. The maximum value of n! to get 13 zeros is 59!, because 60! will have 14 - 5's, so will result in 14 zero's.

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Arpit  (12 years ago)

max=54
min=50

Is this solution Helpfull? Yes (1) | No (10)  

niki  (12 years ago)

@ankit: please explain clearly.

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