Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [tan2 (90 – θ) – sin2 (90 – θ)] cosec2 (90 – θ) cot2 (90 – θ)?

If 1/(cosecA ­ cotA) = x, then the value of x is

Lokesh starts a business with Rs 240000. After 3 months Vishal joins him with Rs 210000. At the end of the year what will be the ratio of their profit?

Two cars travel from city A to city B at a speed of 30 and 36 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

Of the 5 numbers whose average is 78, the first is 2/11 times the sum of other 4. The first number is

A train is moving at the speed of 72 km/hr. How many seconds will it take to cover a distance of 1400 m ?

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?