Quantitative Aptitude - Arithmetic Ability Questions

If the zeroes of the polynomial x2 - ax + b are 3 and 4, then 'a' and 'b' are respectively equal to

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

If tanA + tanB = X, then the value of X is

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

Ramesh uses a weight of 930 gm instead of 1 kg and sells sugar on its cost price. What will be his profit percentage on selling 15 kg sugar?

The simple interest on a sum for 5 years is Rs 16800. The rate of interest for the first 3 years is 8% per annum and for the next 2 years is 12% per annum. What is the value (in Rs) of sum?

K is 5 years older to H. H is 3 years younger to R. R is 6 years older to C. C is 7 years younger to L. Who is the eldest?

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?