Three 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 metals are gold.
All jewellery are gold.
All gold are ornaments.
Conclusions:
I. Some ornaments are jewellery.
II. Some metals are jewellery.
III. All jewellery are ornaments.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some ornaments are jewellery → True (As all jewellery are gold, and all gold are ornaments, so, some ornaments are jewellery is also true.)
II. Some metals are jewellery → False (It is possible, but no definite conclusion can be drawn.)
III. All jewellery are ornaments → True (As all jewellery are gold, and all gold are ornaments, so, all jewellery are ornaments is also true.)