Question
Download Solution PDFDirection: In following question two conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given Conclusions logically follows from the which of the given statements disregarding commonly known facts.
Conclusions:
I. Some Keyboards are Computers.
II. Some Keyboards being Laptops is a possibility.
Statements:
I. Some Computers are Laptops. All Monitor are Keyboards. Some Keyboards are Computers.
II. Some Keyboards are Computers. Some Computers are Laptops. No Monitor are Keyboards.
III. All Keyboards are Computers. All Computers are Laptops. Some Monitor are Keyboards.
IV. Some Computers are Laptops. All Monitor are Keyboards. Some Keyboards are Computers.
V. All Computers are Laptops. No Monitor are Keyboards. No Keyboards are Computers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAccording to the question, minimum possible diagram:
From statement I: Some Computers are Laptops. All Monitor are Keyboards. Some Keyboards are Computers.
I. Some Keyboards are Computers. → False (So it is possible but not definite)
II. Some Keyboards being Laptops is a possibility. → True (As no statement restricts keyboards from being laptop, therefore it is true)
∴ Statement I will not be the result of the given conclusions.
From statement II: Some Keyboards are Computers. Some Computers are Laptops. No Monitor are Keyboards.
I. Some Keyboards are Computers. → False (As restatement is never considered as true conclusion)
II. Some Keyboards being Laptops is a possibility. → True (As no statement restricts keyboards from being laptop, therefore it is true)
∴ Statement II will not be the result of the given conclusions.
From statement III: All Keyboards are Computers. All Computers are Laptops. Some Monitor are Keyboards.
I. Some Keyboards are Computers. → True (As whole keyboards comes in computers, therefore it is true)
II. Some Keyboards being Laptops is a possibility. → True (As no statement restricts keyboards from being laptop, therefore it is true)
∴ Statement III will be the result of the given conclusions.
From statement IV: Some Computers are Laptops. All Monitor are Keyboards. Some Keyboards are Computers.
I. Some Keyboards are Computers. → False (As restatement is never considered as true conclusion)
II. Some Keyboards being Laptops is a possibility. → True (As no statement restricts keyboards from being laptop, therefore it is true)
∴ Statement IV will not be the result of the given conclusions.
From statement V: All Computers are Laptops. No Monitor are Keyboards. No Keyboards are Computers.
I. Some Keyboards are Computers. → False (As direct relation is given between keyboards and computers, therefore it is false)
II. Some Keyboards being Laptops is a possibility. → True (As no statement restricts keyboards from being laptop, therefore it is true)
∴ Statement V will not be the result of the given conclusions.
Thus, Only statement III.
Hence, "Option 3" is the correct answer.