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:
Some mice are keyboards.
All keyboards are CPUs.
All mice are webcams.
Conclusions:
I. Some CPUs are mice.
II. Some webcams are keyboards.
III. Some webcams are CPUs.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some CPUs are mice → True (As some mice are keyboards, and all keyboards are CPUs, so, some CPUs are mice is also true.)
II. Some webcams are keyboards → True (As all mice are webcams, and some mice are keyboards, so, some webcams are keyboards is also true.)
III. Some webcams are CPUs → True (As some mice are keyboards, and all keyboards are CPUs, and all mice are webcams, so, some webcams are CPUs is also true.)