Quantitative Aptitude - Arithmetic Ability Questions

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?

What is the value of tanπ4+A×tan3π4+A ?

If 7x ­- 5y = 13 and 2x -­ y = 5, then (x -­ y) is

If sin ­- 5π/3 = x, then the value of x is

Two cars travel from city A to city B at a speed of 60 and 108 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B?

By selling an item for Rs. 696 Unnati incurred a loss of 13%. By how much should she have raised the price to gain a profit of 10%?

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m