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Two pipes 'A' and 'B' can fill a tank in 6 hours and 8 hours respectively and pipe C can empty the full tank in 12 hours. If all the three pipes were opened for 2 hours, what part of the tank is filled?
$$\frac{1}{4}$$
$$\frac{5}{12}$$
$$\frac{3}{4}$$
$$\frac{1}{2}$$
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