Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements.
Statements:
(I) All tulips are lilies.
(II) All orchids are lilies.
(III) No lily is a rose.
Conclusions:
(I) Some tulips are orchids.
(II) No orchid is a rose.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the statements given in the question is –
Let's check each conclusion –
Conclusion (I):
Some tulips are orchids – According to the Venn diagram, there is no definite relation between tulips and orchids. So, this conclusion is false.
Conclusion (II):
No orchid is a rose – According to the Venn diagram, no lilies are roses and an orchid is part of the lilies. So, this conclusion is true.
So, only conclusion II follows. Hence the first option is correct.
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