GATE Civil 2024 Set 2 | GA | Question: 2

Question

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 $2$?

• A. Only $\text{I}$ and $\text{II}$
• B. Only $\text{II}$ and $\text{III}$
• C. Only $\text{I}$ and $\text{III}$
• D. Only $\text{III}$

Answer 1

here is the venn-diagram, based on the given information,

I. All lucky people are heroes.
False.

II. Some lucky people are heroes.
True.

III. Some winners are heroes.
True.

Correct answer :- Option B) 

Answer 2

Option B)