Hi,
At point A and C, the wire is being swung downwards which moves the conductor through equipotential lines; i.e. the B-field strength changes as the conductor is swung at points A and C, as can be seen in the Earth diagram. This is not the case for B and D, where the wire moves along equipotential lines (into/out of the page) and thus moves such that the B-field strength does not change. Thus, we can immediately eliminate B and D, as current is induced when there is a change in flux over change in time; which only occurs during A and C, by Faraday's Law.
To determine between A and C, we must use Lenz's law. By Lenz's law, the induced current must oppose the change in B-field which caused it; or to oppose the direction of motion. Thus, by applying right hand palm rule, we can see that by applying a current from P to Q at C (which interacts with the external Earth's B-field), a force is generated so as to oppose the direction of motion (which is down the page). Thus, it must be C and not A that produces a positive current from P to Q. Thus the answer is C.