Question
Conclusions: I. All Machines being Tools is a
possibility. II. No screw is a Forks. III. A few Scissors may be Machines. Statements: 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.Solution
From Statement I. Only a few Tools are Machines тЖТ All Machines may be Tools (A). Hence conclusion I follows. Only Scissors is Forks тЖТ All Forks are Scissors and Forks can have negative relation with anyone. Hence conclusion II follows. Only a few Tools are Machines (I) + All Tools are screws (A) тЖТ Some Tools are Screws (I) + Only a few Screws are Scissors (I) тЖТ Probable conclusion тЖТ Some Scissors may be Machines (I). Hence conclusion III follows. ┬а From Statement II. Only Tools are Machines тЖТ All Machines are Tools (A). Hence neither conclusion I nor III follow. Only a few screws are scissors (I) + All scissors are forks (A) тЖТ Some screws are forks(I). Hence conclusion II does not follow. From Statement III. Some Machines are Tools (I) тЖТ Conversion тЖТ Some Tools are Machines (I). Hence conclusion I does not follow. Only a few Screws are Scissors (I) + Some Scissors are Forks (I) тЖТ No conclusion (I). Hence conclusion II does not follow. Some Machines are Tools (I) + All Tools are Screws (A) тЖТ Some Machines are Screws (I) + Only a few Screws are Scissors (I) тЖТ Probable conclusion тЖТ Some Scissors may be Machines (I). Hence conclusion III follows. ┬а From Statement IV. Only a few Machines are Tools тЖТ Some Machines are Tools (A). Hence conclusion I does not follows. Only Scissors are Forks тЖТ All Forks are Scissors and Forks can have negative relation with anyone. Hence conclusion II follows. Some Tools are Screws (I) + Mostly Screws are Scissors (A) тЖТ Some Tools are Scissors (I). Only a few Machines are Tools + Some Tools are scissors (I) тЖТ Probable conclusion тЖТ Some scissors may be Machines (I). Hence conclusion III follows.
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