Read the given statements and conclusions carefully. Assuming that the…
2024
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 conclusions logically follow(s) from the statements.
Statements: Some boxes are cartons. All cartons are papers. Some cartons are utensils.
Conclusion (I): No box is a utensil.
Conclusion (II): Some papers are utensils.
- A.
Both conclusions (I) and (II) follow
- B.
Neither conclusion (I) nor (II) follows
- C.
Only conclusion (II) follows
- D.
Only conclusion (I) follows
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Statement Analysis
Some boxes are cartons. (Overlap between Boxes and Cartons)
All cartons are papers. (Cartons set is entirely inside the Papers set)
Some cartons are utensils. (Overlap between Cartons and Utensils)
Evaluating Conclusions
Conclusion (I): No box is a utensil. The statements show that boxes overlap with cartons, and cartons overlap with utensils. However, this does not explicitly forbid boxes from also overlapping with utensils. Therefore, this conclusion is not definitely true.
Conclusion (II): Some papers are utensils. We know "all cartons are papers" and "some cartons are utensils." Since the utensils that are cartons must also be part of the larger "papers" set (because all cartons are papers), it logically follows that those specific utensils are indeed papers. Therefore, this conclusion logically follows.