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Direction: 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 Cat are not Mouse.
II. All Mouse Can be Horse.
Statements:
I. Some Horse is mouse. Some Mouse are not Dog. All Horse are Cat.
II. Only a few Horse is mouse. Some Mouse are not Dog. All Horse are Cat.
III. No Horse is mouse. Some Mouse are not Dog. All Horse are Cat.
IV. Some Mouse are not Dog. Some Horse are Cat. Some Horse is mouse.
V. Some Mouse are not Dog. No Horse are Cat. Some Horse is mouse.
Only statement IV
Only statement II
Both statement I and II
Both statement I and III
Both statement II and IV
Correct Option is 2 : Only statement.
Explanation
From statement 1,
Some horse is mouse. Some mouse are not dog. All horse are cat.
Minimum possible diagram,
1) Some Cat are not Mouse. → False (it is possible but not true) II) All Mouse Can be Horse → True (It is possible) Therefore, Statement I will not be the result of the given conclusions. From Statement II: Only a few Horse is mouse. Some Mouse are not Dog. All Horse are Cat.
1) Some Cat are not Mouse → True (because only a few horse is mouse which means some horse is mouse and some horse is not mouse) II) All Mouse Can be Horse → True (it is possible) Therefore, Statement II will be the result of the given conclusions. From Statement III: No Horse is mouse. Some Mouse are not Dog. All Horse are Cat.
1) Some Cat are not Mouse - True (because no horse is mouse) II) All Mouse Can be Horse → False Therefore, Statement III will not be the result of the given conclusions.
From Statement IV: Some Mouse are not Dog. Some Horse are Cat. Some Horse is mouse.
1) Some Cat are not Mouse → False (it is possible but not definite) II) All Mouse Can be Horse → True (It is possible) Therefore, Statement IV will not be the result of the given conclusions.
From Statement V: Some Mouse are not Dog. No Horse are Cat. Some Horse is mouse.
1) Some Cat are not Mouse. → False (No relation between cat and mouse) II) All Mouse Can be Horse → True (It is possible) Therefore, Statement V will not be the result of the given conclusions.
Hence, Only statement II is the correct answer.
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