Quantitative Aptitude - Arithmetic Ability Questions

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

If the perimeter of a semicircle is 108 cm, then find its area (in cm²).

If xy+yz+zx = 1, then the value of (1+y2)(x+y)(y+z) ?

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

If cosπ/4c - tanπ/4c = x, then x is

If x , y, and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0 then (x+y+z) is equal to

In the following question, select the odd letter/letters from the given alternatives.