Question : Directions: In the following question, three statements are given followed by three conclusions I, II and III. You have to consider the three statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
Some hills are rivers.
Some rivers are deserts.
All deserts are roads.
Conclusions:
I. Some roads are rivers.
II. Some roads are hills.
III. Some deserts are hills.
Option 1: Only conclusion I follows
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: None follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some roads are rivers
–
From the diagram, it is evident that the circles representing roads and rivers overlap and have a part of their areas in common. So, from this, it can be concluded that some roads are rivers. Thus, this conclusion follows.
Conclusion (II):
Some roads are hills
–
From, the Venn diagram, it is evident that there is no direct relation between roads and hills. So, no definite relation can be drawn. Therefore, this conclusion doesn't follow.
Conclusion (III):
Some deserts are hills
–
From, the Venn diagram, it is evident that there is no direct relation between deserts and hills. So, no definite relation can be drawn. Therefore, this conclusion doesn't follow.
So, only the conclusion I follows. Hence, the first option is correct.
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