Quantitative Aptitude - Arithmetic Ability Questions

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

Find the sum of interior angles of a dodecagon?

The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

If the ratio of marked price and selling price is 11 : 10, then what is the discount percentage?

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?

Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.