Permutations an...

If $^{8}C_{r}=^{8}C_{3}$, then $r$ is equal to 

Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rahul defeat ?

There is a certain relationship between the pair of figure on either side of ::. Identify the relationship on the left side and find the missing figure.

Which number replaces the question mark ?

When $n!+1$ is divided by any natural number between $2$ and $n$ then remainder obtained is

How many integers are there such that $2 \le n \le 100$ and the highest common factor of $n$ and $36$ is $1$?

If area of a triangle is $35$ square units with vertices $\left( {2, - 6} \right),\,\,\left( {5,\,\,4} \right)$ and $({k},\,\,4)$ then ${k}$ is :

The number of ways in which $9$ persons can be divided into three equal groups, is

What is the next number in the series $2,12,36,80,150?$

The number of permutations which can be formed out of the letters of the word "SERIES" three letters together, is: