Quantitative Aptitude - Arithmetic Ability Questions

The least value of tan2x + cot2x is

Two successive discounts of 10% and 20% are equivalent to a single discount of

S does half as much work as T in 1/7 of the time taken by T. If together they take 21 days to complete a work, then how may days shall S take to complete that work alone?

Deepak sells all his goods available in his shop at the cost price, but he cheats his customer and gives 20% less goods as he should give. Find his % profit.

Number of composite numbers lying between 67 and 101 is

An object travels 23 m in 3 s and then another 15 m in 2 s. What is the average speed of the object?

The ratio of speeds of X and Y is 5:7. Y covers a distance of 420 km in 3 hours. What is the speed of X?

A sum of Rs 4000 becomes Rs 6000 in 1 year at a certain rate of compound interest. What will be the sum (in Rs) after 4 years?