Statements: All cups are glasses. All glasses are containers. Conclusions: I. All cups are containers. II. Some containers are cups. III. All containers are cups.
Correct answer: A. Only I and II
- A. Only I and II
- B. Only I
- C. All follow
- D. Only II and III
Explanation
The correct answer is Option A: Only I and II. Let's analyze each conclusion:Conclusion I: 'All cups are containers' is true. Since all cups are glasses and all glasses are containers, by transitive property, all cups are containers.Conclusion II: 'Some containers are cups' is true. Since all cups are containers, it implies that at least some of the containers are cups.Conclusion III: 'All containers are cups' is false. The given statements do not support this conclusion because containers include more than just cups.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
Practise Logical Deductions
240 free Logical Deductions MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Logical Deductions questions
Statements: Some players are athletes. All athletes are winners. Conclusions: I. Some players are winners. II. All players are winners. III. Some winners are players.
Statements: All humans are mammals. Some mammals are not animals. Conclusions: I. Some humans are not animals. II. All animals are mammals. III. All humans are animals.
Statements: Some tables are chairs. No chair is wood. Conclusions: I. Some tables are not wood. II. Some tables are not chairs.
Statements: Some pens are pencils. All pencils are erasers. Conclusions: I. Some pens are erasers. II. All pens are erasers. III. Some erasers are pens
Statements: No apple is banana. Some bananas are mangoes. Conclusions: I. Some apples are mangoes. II. No apple is mango. III. All mangoes are bananas.
Statements: Some oranges are fruits. All fruits are healthy. Conclusions: I. Some oranges are healthy. II. All oranges are healthy. III. All healthy things are fruits.