Latest help Aptitude Question SOLUTION: What is the greatest positive power of 5 that divides 30! exactly? Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

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What is the greatest positive power of 5 that divides 30! exactly?
Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

Asked In help shree (7 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Dinesh  (6 years ago)

The question says how many powers of 5 are there in 30!

Only the numbers 5,10,15,20, 25, 30 are divisors of 5 and 25 is divisible by 5^2 ( 5*5)

Therefore the total number of five's are 7.

Hence the greatest positive power of 5 that divides 30! is 7.

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simran  (7 years ago)

5, 10,15,20,25,30.

5 has one 5 --->means 5*1
10 has one common five ---->means 5*2
15 has one common five ---> means 5*3
20 has one common five ---> means 5*4
25 has TWO common fives --->means 5*5
30 has one common 5 ----->means 5*6
so total no of 5 in all the multiples is counted to be 7
Answer is 5 ^ 7th power.

Is this solution Helpfull? Yes (1) | No (2)  

brijesh kumar  (7 years ago)

divide 30/5 you vl get 1.
then again divide 6/5 you vl get 1
so ans is 6+1=7
do it for any number it you get 1
and add them except the number itself

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