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. No Tree is Garden.
II. Some Plants are Forests.
Statements:
(I) No Forest is a Garden. Some Trees are Plants. All Gardens are Plants.
(II) Some Trees are Plants. No Forest is a Tree. All Plants are Gardens.
(III) No Garden is a Plant. Some Forests are Trees. All Trees are Plants.
(IV) All Gardens are Forests. No Tree is a Garden. Some Trees are Plants.
(V) Some Gardens are Forests. No Tree is a Plant. All Plants are Gardens.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAccording to the question, minimum possible diagram:
From statement I: No Forest is a Garden. Some Trees are Plants. All Gardens are Plants.
I. No Tree is Garden. → False (As no direct relation is given between garden and tree, therefore it is false)
II. Some Plants are Forests. → False (So it is possible but not definite)
∴ Statement I will not be the result of the given conclusions.
From statement II: Some Trees are Plants. No Forest is a Tree. All Plants are Gardens.
I. No Tree is Garden. → False (As some part of trees is common with plants which whole comes in gardens, therefore it is false)
II. Some Plants are Forests. → False (So it is possible but not definite)
∴ Statement II will not be the result of the given conclusions.
From statement III: No Garden is a Plant. Some Forests are Trees. All Trees are Plants.
I. No Tree is Garden. → True (As whole trees comes in plants which cannot be garden, therefore it is true)
II. Some Plants are Forests. → True (As some part of forest is common with trees which whole comes in plants, therefore it is true.)
∴ Statement III will be the result of the given conclusions.
From statement IV: All Gardens are Forests. No Tree is a Garden. Some Trees are Plants.
I. No Tree is Garden. → False (As restatement is never considered as true conclusion)
II. Some Plants are Forests. → False (So it is possible but not definite)
∴ Statement IV will not be the result of the given conclusions.
From statement V: Some Gardens are Forests. No Tree is a Plant. All Plants are Gardens
I. No Tree is Garden. → False (As no direct relation is given between garden and tree, therefore it is false)
II. Some Plants are Forests. → False (So it is possible but not definite)
∴ Statement V will not be the result of the given conclusions.
Thus, Only statement III.
Hence, "Option 1" is the correct answer.