In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

Directions : The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions. 

In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?  

A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $$2\over 3$$ part of the tank, if the internal radius of the tank is 10.5 m?

By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is-

The base of a triangle is 16 cm and its area is $${144cm^2}$$. Find its corresponding height, with respect to the given base.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 19x + 90 = 0

II. y²+ 13y + 36 = 0

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

The radii of two right circular cylinders are in the ratio 3:2 and the ratio of their volumes is 27: 16. What is the ratio of their heights?