Straight Lines ...

Find $$x$$, if $$\dfrac {1}{4!}-\dfrac {1}{x}=\dfrac {1}{5!}$$.

Find the sum of first $$15$$ terms of the sequence whose $${n}^{th}$$ term is $$3+4n$$.

solve

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

insert the missing number:  5,8,12,17,23,___,38 

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.

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

Which number replaces the question mark ?

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

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 :