Question

Statements: No cube is a cuboid.
Some cuboids are rectangles.
All squares are cubes.
Conclusions: I. No rectangle is a square.
II. No cube is a rectangle

• A. if only conclusion I follows.
• B. if only conclusion II follows.
• C. if either conclusion I or conclusion II follows.
• D. if neither conclusion I nor conclusion II follows.
• E. if both conclusion I and conclusion II follow.

Answer 1

Answer: (D)

if neither conclusion I nor conclusion II follows.

There are two cases possible.

Some rectangle can be square.

This is a possibility.

All cubes can be rectangle.

This is possible.

Thus both conclusion I and II are incorrect.

Hence, Option D is correct.