Question

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

• 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

The correct option is E if both conclusion I and conclusion II follow.

There are two cases possible.

No Square can be cuboid in both the cases.

All cubes can be rectangle.

This is possible.

Thus both conclusion I and II are correct.

Hence, Option E is correct.