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:
Some teeth are colours.
Some colours are objects.
Conclusions:
I. All objects are teeth.
II. Some colours are teeth.
III. Some objects are colours.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All objects are teeth → False (As all bananas are avocados, so, some avocados are bananas is also true.)
II. Some colours are teeth → True (As some teeth are colours, so, some colours are teeth is also true.)
III. Some objects are colours → True (As some colours are objects, so, some objects are colours is also true.)
Hence, Only conclusions II and III follow.