For a given closed circuit the current voltage and resistance of circuit is related with ohm's law
here
V = voltage difference due to battery
i = current flow in the circuit
R = resistance
so from above equation
so in order to decrease the current in the circuit we can either increase the resistance of the circuit or decrease the voltage
Now the formula of resistance is
here
= resistivity of material of resistance
A = crossectional area
a) if we use a thick wire the as per above formula of resistance the value of resistance will decrease.
And hence the current will increase in the circuit so it is not correct option
b) If 6V battery is replaced by 12 V battery then due to increase in potential difference the current in the circuit will also increase, so this is not correct answer.
c)Opening the switch will decrease the voltage from 6 V to 0 Volt
due to this decrease in potential difference the current in the circuit will also decrease. So by Opening the switch the current will be decreased in this circuit.