If `x ,\ y ,\ z` are three sums of money such that `y` is the simple interest on `x ,\ z` is the simple interest on `y` for the same time and at the same rate of interest, then we have `x^2=y z` (b) `y^2=x z` (c) `z^2=x y` (d) `x y z=1`

Three amounts x, y and z are such that y is the simple interest on x and z is the simple interest on y. If in all the three cases, rate of interest per annum and the time for which interest is calculated is the same, then find the relation between x, y and z.

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then x=y+z (b) 2x=y+z( c) x=2y+2z(d) None of these

If x,y,z are three real numbers of the same sign then the value of (x)/(y)+(y)/(z)+(z)/(x) lies

If x, y and z are three non-zero numbers such that x + y le z -x, y + z le x -y and z + x le y -z , the maximum value of x + y + z is __________.