Conclusions: I. Some Bikes are not Cars.

Solution

From Statement I. Only a few Cars are Cycles (I) + Some Cycles are Bikes (I) → No conclusion. Hence conclusion I does not follow. Only a few Cars are Cycles → Some Cars are Cycles (I). Hence conclusion II does not follow.   From Statement II. All Bikes are Cycles (A) + Only a few Cycles are Trains (I) → No conclusion. Hence conclusion I does not follow. Only a few Cycles are Trains (I) + Some Trains are Cars (I) → Probable conclusion → All Cars can be Cycles (I). Hence conclusion II follows.   From Statement III. No Car is a Train (E) + Few Trains are Bikes (I) → Some Bikes are not Cars (O*). Hence conclusion I follows. Only a few Cycles are Cars → All Cars can be Cycles (I). Hence conclusion II follows. From Statement IV. All Bikes are Cars (A) → I.I. → Some Bikes are Cars (I). Hence conclusion I does not follow. No Cycle is a Bike (E) + All Bikes are Cars (A) → Some Cars are not Cycles (O*) + All Cycles are Trains (A) → Probable conclusion → All Cars can be Cycles (I). Hence conclusion II follows.