Quantitative Aptitude - Arithmetic Ability Questions

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

What is the area (in square units) of the figure enclosed by the x-axis, the y-axis and the line x + 2y = 6 ?

Find the value of p if ­-3x -­ 11, x + p and 5x + 7 are in arithmetic progression.

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

If 2pp2-2p+1 = 14, then the value of (p + 1/p) will be

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?

How much does one need to add to 2/3 to obtain 3/2?