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 cupboards are shelves.
All shelves are drawers.
Conclusions:
I. All cupboards are drawers.
II. All drawers are shelves.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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:
All cupboards are drawers –
From the Venn diagram, it is evident that the circle representing cupboards is completely overlapped by the circle representing drawers. Thus, it can be concluded that a
ll cupboards are drawers.
Conclusion II
: All drawers are shelves –
From the Venn diagram, it is evident that some parts of the circle representing drawers lie inside the circle representing shelves while some lie outside. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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