Maths Series Questions with Answers

There is a difference of 8 years between the ages of Waqar and Naseema. When they were married 30 years ago. So 4 times Waqar's age was equal to 5 times Nasima's age. What is the sum of his present age?

Neetu is 11 years younger than Bharti. Fifteen years later Bharti Neetu's age will be 1.2 times. What is Neetu's present age?

Tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, in how many hours will the leak empty it? 

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 10 hours – pipe A, B, C together can fill the same tank in 12 hours. In how many hours pipe C can fill the tank alone?

If $$ a={{\sqrt{3}+\sqrt{2}}\over {\sqrt{3}-\sqrt{2}}}$$ and $$ b={{\sqrt{3}-\sqrt{2}}\over {\sqrt{3}+\sqrt{2}}}$$, then find the value  of $$ {a^2\over b}+{b^2\over a}=?$$