Quantitative Aptitude - Arithmetic Ability Questions

What is the largest 4 digit number which is exactly divisible by 81?

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel. 
What is the area of triangle ADC?

At least one diagonal bisects the other in a _____.

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

If x + y = 3, then what is the value of x3 + y3 + 9xy?

Given: x -­ 5 ≤ 2x -­ 3 and 2x - ­1/2 ≥ 5x + 2; then x can take which of the following values?

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?