X can finish a work in 25 days. Y can do the same work in 20 days. Together they work for 5 days and then X leaves. In how many days can Y alone complete the remaining work?

Which of the following options has the greatest value?

Given that x³ + y³ = 72 and xy = 6 with x > y. Then the value of (x – y) is

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:

The cube of 997 is

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-