Wilson's Theorem

Q. The number of positive integers not greater than 100, which are not divisible by 2, 3 or 5 is: (CAT 1993)

1. None of these
2. 26
3. 18
4. 31

Q.

What is the remainder obtained when 96! is divided by 97 ?

1. 1

2. 96

3. -1

4. 0

Q. $10000!=(100!{)}^K\ast P$, where K and P are integers. Then what is the maximum value of K?

1. 103
2. 105
3. 102
4. 104
5. 100

Q. $\begin{array}{ccc}2& 19& 13\\ 7& 11& 3\\ 23& 5& ....\end{array}$