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Which of the following conclusions can be drawn from the given statements?
Statements:
All mangoes are apples.
Some apples are bananas.
No banana is an orange.
Conclusions:
I) Some mangoes are bananas.
II) No orange is an apple.
III) Some mangoes are not apples.
The following diagram is a possible diagram according to the statements given.
Based on the above Venn diagram-
I) Some mangoes are bananas - False
II) No orange is an apple - False
III) Some mangoes are not apples - False
Hence, none of the conclusions follows.
Which of the following conclusions can be made from the given statements.
Statements:
All cats are mammals.
Some dogs are mammals.
Some tigers are cats.
Conclusions:
I) Some dogs are tigers.
II) Some cats are dogs.
III) Some tigers are mammals.
Only Conclusion 3, i.e. Some tigers are mammals, follows.
Some statements are given below and these are followed by some conclusions. Assume the given statements to be true even if they seem to be at variance with the commonly observed facts. Decide which conclusions logically follow from the given statements and then choose the answer accordingly.
Statements:
I: Some apples are mangoes
II: All mangoes are guavas
III: All guavas are grapes
IV: Some grapes are sour
Conclusions:
I All mangoes are grapes
II Some apples are sour
All mangoes are guavas and all guavas are grapes. Hence, all mangoes are also grapes. Thus, conclusion I logically follows from the given statement. Conclusion II does not follow from the given statements as all apples may not be sour. Thus, only conclusion I follows. Hence, option A is the correct answer.
Statements:
All cats are dogs.
All dogs are tigers.
No tiger is a lion.
Conclusions:
1. No dog is a lion.
2. Some cats being lions is a possibility.
Since dogs is a subset of tigers and no tiger is a lion, it follows that no dog is a lion. So, conclusion 1 is true. Also, since cats is a subset of tigers and no tiger is a lion, so it follows that no cat is a lion. So, conclusion 2 need not be true.
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