Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
I. Some violins are pianos.
II. All violins are flutes.
III. No violin is a guitar.
Conclusions:
I. No guitar is a piano.
II. Some flutes are pianos.
III. All flutes are guitars.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No guitar is a piano→ False (It is possible, but no definite conclusion can be drawn.)
II. Some flutes are pianos → True (As all violins are flutes and some violins are pianos, so, some flutes are pianos is also true.)
III. All flutes are guitars → False (It is possible, but no definite conclusion can be drawn.)