Question 40

Three statements are given, followed by four conclusions numbered I, II, III, IV.
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: 
Some drums are violins.
Some violins are pianos.
All the pianos are flutes.
Conclusions:
I. Some flutes are violins.
II. Some pianos are drums.
III. No piano is drum.
IV. Some violins are drums.

Solution

According to the Statements given in the question, we get the following Venn Diagram

Conclusion : 

  1. Some flutes are violins : true (follow a direct relation)
  2. Some pianos are drums : cannot say (not following a direct relation)
  3. No piano is a drum : cannot say (not following a direct relation)
  4. Some violins are drum : true(follow a direct relation).

So, conclusion 1 and 4 definitely follows and one follows from 2 and 3. 

Hence, Option A is correct. 


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