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 conclusion/s logically follow/s from the given statements.
Statements:
I. All forests are deserts.
II. Some deserts are valleys.
III. All valleys are hills.
Conclusions:
I. No hill is a forest.
II. Some deserts are hills.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I 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 given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
No Hill is a Forest – According to the Venn diagram, there is no direct relation between hills and forests, it is a possibility but is not definite. So this conclusion is false.
Conclusion II:
Some Deserts are Hills – According to the Venn diagram, the circle of desert and hill intersect and have some common area between them. Therefore, some deserts are hills is a true conclusion.
So, the only conclusion II follows. Hence, the first option is correct.
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