Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. 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 photographs are newspapers.
Some photographs are computers.
Conclusions:
I. Some computers are photographs.
II. Some computers are newspapers.
III. Some newspapers are photographs.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I):
Some computers are photographs –
From the Venn diagram, it is evident that the circles representing computers and photographs overlap and have some parts of their area in common. Thus, it can be concluded that some computers are photographs.
Conclusion (II):
Some computers are newspapers –
From the Venn diagram, it is evident that the circles representing computers and newspapers overlap and have some parts of their area in common. Thus, it can be concluded that some computers are newspapers.
Conclusion (III):
Some newspapers are photographs –
From the Venn diagram, it is evident that some parts of the circle representing newspapers lie inside the circle representing photographs while some lie outside. Thus, it can be concluded that some newspapers are photographs.
So, all of the conclusions follow. Hence, the third option is correct.
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