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:
No card is a picture.
Some pictures are frames.
No frame is a lens.
Conclusions:
I. No card is a frame.
II. All pictures can never be lenses.
III. At least some cards are lenses.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No card is a frame → False (It is possible, but no definite conclusion can be drawn.)
II. All pictures can never be lenses → True (As some pictures are frames, and no frames are lenses, so, all can never be lenses is true.)
III. At least some cards are lenses → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusion II follows.