Question

Statements: All students are hardworking. No hardworking person is lazy. Conclusions: I. No student is lazy. II. Some hardworking persons are students. Which conclusion follows?

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Neither I nor II follows
• D. Both I and II follow

Hint:

Students inherit 'not lazy' from hardworking, and 'All students are hardworking' gives a 'Some' converse.

Answer 1

The Correct Option is D

Step 1: Combine for conclusion I.
All students are hardworking, and no hardworking person is lazy, so no student can be lazy. Conclusion I follows.
Step 2: Convert for conclusion II.
All students are hardworking and students exist, so some hardworking persons are students. Conclusion II follows.
Step 3: Conclude.
Both conclusions follow.