Quantitative Aptitude - Arithmetic Ability Questions

If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

If P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812, then what is the value of P – Q?

If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?

What is the area (in sq cm) of a rectangle if its diagonal is 25 cm and one of its sides is 24 cm?

Area of _____ equals square of its side.

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is