Quantitative Aptitude - Arithmetic Ability Questions

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2) – 1]?

The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

A factory buys 7 machines. 2 Machine A, 2 Machine B and rest Machine C. Prices of the machines are Rs 95000, Rs 75000 and Rs 43000 respectively. Calculate the average cost of these machines?

To cover a distance of 225 km in 2.5 hours what should be the average speed of the car in meters/second?

The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

What is the compound interest (in Rs) for 1 year on a sum of Rs 20000 at the rate of 40% per annum compounding half yearly?

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

Rs 18200 is divided among X, Y and Z in the ratio of 1/3 : 1/4 : 1/2. What is the share (in Rs) of X ?