Quantitative Aptitude - Arithmetic Ability Questions

If cot(A/2) = x, then x is equal to

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

Azhar can complete a journey in 10 hours. He travels the first half of the journey at a speed of 21 km/hr and the balance at 24 km/hr. Find the total distance in km?

When Amar walk from P to Q and return from Q to P on cycle, it takes him 29 minutes. By walking both ways, it takes him 49 minutes. If he rides cycle both ways then what will be the total time (in minutes)?

A vendor buys 12 bananas for Rs 60 and sells 5 bananas for Rs 32. What will be his gain (in %)?

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A solid has 12 vertices and 30 edges. How many faces does it have?