Quantitative Aptitude - Arithmetic Ability Questions

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is

What is the value of (tan45° + 1/√2) ?

If PA and PB are two tangents to a circle with centre O such that ∡APB = 80°. Then ∡AOP = 

A mixture contains acid and water in the ratio of 7 : 3. If 4 litres of water is added to it, then the ratio of acid and water becomes 7 : 4. What is the quantity (in litres) of acid in the mixture?

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A

A satellite airtime bill costs Rs. 8 for 5 minutes 40 seconds. What is the cost in rupees for 4 minutes 20 seconds? (Round upto one decimal).

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).