Quantitative Aptitude - Arithmetic Ability Questions

PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:

A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is:

The marked price of an article is 20% more than its cost price. If 5% discount is given on the marked price, then what is the profit percentage?

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

If 1/(tanA + cotA) = x, then value of x is

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

What is the simplified value of sec6 A – tan6 A – 3 sec2 A tan2 A?