I don't know where the question is, but I will assume that this is a True or False statement.
If that is the case, this statement is false.
You have the equation Q = mcΔT.
The statement states that if m is doubled, c is doubled as well. This is incorrect, since the specific heat value cannot be changed because it is attributed to the specific substance. If m doubles with the same substance, assuming a constant change in temperature, the only thing that can change is Q, which is the heat energy gained or lost from the substance.