Quantitative Aptitude - Arithmetic Ability Questions

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

ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium?

Find the total surface area (in cm2 ) of a hemisphere of diameter 42 cm.

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A shopkeeper sells wheat at a profit of 20% and for weighing uses a weight which is 10% less than the actual weight. What is his total profit percentage?

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)