Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All rivers are lakes.
Some seas are rivers.
Conclusions:
I) Some seas are lakes.
II) All lakes are rivers.
Option 1: Neither Conclusion I nor II follows
Option 2: Only Conclusion II follows
Option 3: Only Conclusion I follows
Option 4: Both Conclusions I and II follow
Correct Answer: Only Conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion I:
Some seas are lakes – From the Venn diagram, it is evident that the circles representing seas and lakes overlap and have some parts of their area in common. Thus, it can be concluded that some seas are lakes.
Conclusion II:
All lakes are rivers – From the Venn diagram, it is evident that some parts of the circle representing lakes lie inside the circle representing rivers while some lie outside. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the
third option
is correct.
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