Statements: All squares are circles. No circle is cone. Some cones are…
2025
Statements: All squares are circles. No circle is cone. Some cones are spheres. Some rectangle are circles
Conclusions:
I. All rectangles being cones is a possibility
II. All rectangle being sphere is a possibility
- A.
only 1st follows
- B.
only 2nd follows
- C.
either 1st or 2nd
- D.
neither 1st nor 2nd
Attempted by 1104 students.
Show answer & explanation
Correct answer: B
Answer: Only the conclusion "All rectangles being sphere is a possibility" follows.
Given:
All squares are circles.
No circle is cone.
Some cones are spheres.
Some rectangles are circles.
Reasoning:
From 'No circle is cone' we know circles and cones are mutually exclusive; no element can be both a circle and a cone.
Because 'Some rectangles are circles', if all rectangles were cones then those rectangle-members that are circles would have to be cones as well, which contradicts that circles cannot be cones. Therefore the conclusion that all rectangles could be cones is impossible.
There is nothing in the statements that prevents rectangles from being spheres. The statement 'Some cones are spheres' does not exclude rectangles from being spheres, and circles can overlap with spheres unless explicitly forbidden. Hence it is possible for all rectangles to be spheres.
Conclusion: Only the conclusion that all rectangles being spheres is a possibility follows from the given statements.