Quantitative Aptitude - Arithmetic Ability Questions

There are red (A), yellow(B) and green (C) tokens in a bag. A : B :: 3 : 8, B : C :: 6 : 13. A : B : C is given by

The length of the diagonal and the breadth of a rectangle are 26 cm and 10 cm respectively. Find its perimeter (in cm).

If x - y = -6 and x + y = 16, then x2- y2 is?

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

If a + b = 3 and ab = -4, then what is the value of a3 + b3?

The value of 2.33+0.0272.33-0.69+0.09

If a+1b= b+1c = c+1a (a , b, c are not equal) then the value of abc = 

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)