Question

Find the number of zeroes in 100!

Solution

Correct option is

24

We know,   10 = 5 × 2. 

So, to form one 10, we need one 2 and one 5. 

Number of 10’s will be same as min{E2(100!), E5(100!)}  

      

                    

      

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SIMILAR QUESTIONS

Q1

There are 15 points in a plane of which exactly 8 are collinear. Find the number of straight lines obtained by joining there points.   

Q2

If n is the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any quation find n/40.

Q3

Find the number of rectangles that you can find on a chessboard.

Q4

Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9, no digit being repeated.

Q5

Ten persons, amongst whom are A, B and C, are to speak at a function. If n is the number of ways in which it can be done if A wants to speak before B, and B wants to speak before C find n/800.

Q6

Find the largest  such that 

      

Q7

Find the largest integer n for which 35! Is divisible by 3n.

Q8

The number of natural numbers which are smaller than 2 × 108 and which can be written by means of the digits and 2 is ………..

Q9

Find the exponent of 2 in 50!?

Q10

A city has 12 gates. In how many ways can a person enter the city through one gate and come out through a different gate?