Quantitative Aptitude - Arithmetic Ability Questions

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

A sum becomes Rs 1392 in 2 years and Rs 1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

If tan π/3c + cosec π/6c = x, then x is

If x -­ y = ­7 and x + y = 13, then x2 - y2 is

Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).

Find the HCF of 1757, 2259.