GATE 2024 IN – Question 2
Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2?
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Correct answer: (B) Only II and III
Explanation
The inclusions are heroes⊆winners⊆lucky people.
Under the conventional syllogism assumption that heroes exist, some winners and some lucky people are heroes, giving II and III.
The reverse universal inclusion in I is not warranted.
Thus **B**.