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Question

In the question below some statements are given two conclusions followed by some statements. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and then decide which of the following statement is true for given conclusions.

Conclusions:

I. Some Bikes are not Cars.

II. Every Cars can be Cycles.

Statements:

A All Cars are Trains. Only a few Cars are Cycles. Some Cycles are Bikes. Correct Answer Incorrect Answer
B All Bikes are Cycles. Only a few Cycles are Trains. Some Trains are Cars. Correct Answer Incorrect Answer
C Only a few Cycles are Cars. No Car is a Train. Few Trains are Bikes. Correct Answer Incorrect Answer
D All Cycles are Trains. No Cycle is a Bike. All Bikes are Cars. Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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.

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