Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the

statements.

Statements:

All stoves are cylinders.

All cylinders are mixers.

Some cylinders are grinders.

Conclusions:

(I) Some grinders are cylinders.

(II) Some mixers are grinders.

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

Answer 1

Answer:

D. Both conclusions (I) and (II) follow.

Both conclusions (I) and (II) logically follow from the given statements.

Let's evaluate each conclusion based on the statements:

• Conclusion (I): Some grinders are cylinders.

  • Statement 3 explicitly tells us that "Some cylinders are grinders."

  • If some cylinders are grinders, then it naturally follows by simple conversion that some grinders must be cylinders.

  • Therefore, Conclusion I follows.

• Conclusion (II): Some mixers are grinders.

  • Statement 2 states "All cylinders are mixers," and Statement 3 states "Some cylinders are grinders."

  • Since every single cylinder is part of the "mixers" group, any part of the cylinders that overlaps with "grinders" will also overlap with "mixers".

  • Therefore, Conclusion II follows.

Final Conclusion

Both conclusion I and conclusion II follow.