Let the integers be a, b, c ,d ,e, f, g
Median = d = 240
Range = (g - a) = 80

Now, Median of a, b, c is b = 180
We need to find the Range of e, f, g i.e (g - e)

We have 7 integers as: a, 180, c, 240, e, f, g

To find the greatest value of g, we can take a = 180
so, g - a = 80
g - 180 = 80
g = 260

Now, e can have a mimimum value equal to d i.e 240. The value of e cannot be less than d = 240 (as the median will shift to right and e will become the new median).

So, Maximum value of (g - e) = \(g_{max} = e_{min.} = 260 - 240 = 20\)
This means that the range of g and e lies between 0 and 20

Therefore, the only option choice which matches is 0
Hence, option E