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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. All Machines being Tools is a possibility.

II. No screw is a Forks.

III. A few Scissors may be Machines.

Statements:

A Only a few Tools are Machines. All Tools are screws. Only a few Screws are Scissors. Only Scissors are Forks. Correct Answer Incorrect Answer
B Only Tools are Machines. No Tool is a Screw. Only a few Screws are Scissors. All Scissors are Forks. Correct Answer Incorrect Answer
C Some Machines are Tools. All Tools are screws. Only a few Screws are Scissors. Some Scissors are Forks. Correct Answer Incorrect Answer
D Only a few Machines are Tools. Some Tools are screws. Mostly screws are scissors. Only Scissors are Forks. Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

From Statement I. Only a few Tools are Machines → All Machines may be Tools (A). Hence conclusion I follows. Only Scissors is Forks → 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) → Some Tools are Screws (I) + Only a few Screws are Scissors (I) → Probable conclusion → Some Scissors may be Machines (I). Hence conclusion III follows.   From Statement II. Only Tools are Machines → All Machines are Tools (A). Hence neither conclusion I nor III follow. Only a few screws are scissors (I) + All scissors are forks (A) → Some screws are forks(I). Hence conclusion II does not follow. From Statement III. Some Machines are Tools (I) → Conversion → Some Tools are Machines (I). Hence conclusion I does not follow. Only a few Screws are Scissors (I) + Some Scissors are Forks (I) → No conclusion (I). Hence conclusion II does not follow. Some Machines are Tools (I) + All Tools are Screws (A) → Some Machines are Screws (I) + Only a few Screws are Scissors (I) → Probable conclusion → Some Scissors may be Machines (I). Hence conclusion III follows.   From Statement IV. Only a few Machines are Tools → Some Machines are Tools (A). Hence conclusion I does not follows. Only Scissors are Forks → 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) → Some Tools are Scissors (I). Only a few Machines are Tools + Some Tools are scissors (I) → Probable conclusion → Some scissors may be Machines (I). Hence conclusion III follows.

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