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A capacitor of capacitor of capacitance C discharges through a resistor of resistance R. Which one of the following statements is not true?

After checking the answer, it turned out that answer D which is ''After charging to the same voltage, the initial discharge current will be unaffected if C is increased'' is true, but I don't understand how.

If C = Q/V = IT/V, then current would be proportional to current and so current would increase with it.

Could someone explain why D is true, explaining what I got wrong when trying to solve it?

Thank you physicians.