Q) 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?

  • Only I and II
  • Only II and III
  • Only I and III
  • Only III
Solution:

The correct answer is B. Only II and III.

Explanation:
From the statements:

  1. All heroes are winners.
  2. All winners are lucky people.
  • Inference I (All lucky people are heroes) cannot be deduced because not all lucky people are necessarily heroes.
  • Inference II (Some lucky people are heroes) is valid because all heroes are winners, and all winners are lucky people, so some lucky people must be heroes.
  • Inference III (Some winners are heroes) is valid because all heroes are winners.

Thus, only inferences II and III can be logically deduced.

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