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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 Barbers are not Carpenters.

II. Every Carpenters can be Trainers.

Statements:

A All Carpenters are Painter. Only a few Carpenters are Trainers. Some Trainers are Barbers. Correct Answer Incorrect Answer
B All Barbers are Trainers. Only a few Trainers are Painter. Some Painter are Carpenters. Correct Answer Incorrect Answer
C Only a few Trainers are Carpenters. No Carpenter is a Painter. Few Painter are Barbers. Correct Answer Incorrect Answer
D All Trainers are Painter. No Trainer is a Barber. All Barbers are Carpenters. Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

From Statement I. Only a few Carpenters are Trainers (I) + Some Trainers are Barbers (I) → No conclusion. Hence conclusion I does not follow. Only a few Carpenters are Trainers → Some Carpenters are Trainers (I). Hence conclusion II does not follow.   From Statement II. All Barbers are Trainers (A) + Only a few Trainers are Painter (I) → No conclusion. Hence conclusion I does not follow. Only a few Trainers are Painter (I) + Some Painter are Carpenters (I) → Probable conclusion → All Carpenters can be Trainers (I). Hence conclusion II follows.   From Statement III. No Carpenter is a Painter (E) + Few Painter are Barbers (I) → Some Barbers are not Carpenters (O*). Hence conclusion I follows. Only a few Trainers are Carpenters → All Carpenters can be Trainers (I). Hence conclusion II follows. From Statement IV. All Barbers are Carpenters (A) → I.I. → Some Barbers are Carpenters (I). Hence conclusion I does not follow. No Trainer is a Barber (E) + All Barbers are Carpenters (A) → Some Carpenters are not Trainers (O*) + All Trainers are Painter (A) → Probable conclusion → All Carpenters can be Trainers (I). Hence conclusion II follows.

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