CUET PG 2023 — Reasoning PYQ

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Question

CUET PG 2023 — Reasoning PYQ

CUET PG | Reasoning | 2023

Observe the following premises and select the correct conclusion:
Major premise: All engineers are innovative
Minor premise: All students are engineers.
Conclusions:

Choose the correct answer:

Explanation

1. Logical Representation

Let:

$S$ = Set of all Students
$E$ = Set of all Engineers
$I$ = Set of all Innovative people

The premises can be written as:

Major Premise: $E \subset I$ (Every engineer is a subset of innovative people)
Minor Premise: $S \subset E$ (Every student is a subset of engineers)

2. The Transitive Property

In logic, if one set is a subset of a second, and that second set is a subset of a third, then the first set is a subset of the third.

The logic follows this equation:

\text{If } (S \subset E) \text{ and } (E \subset I), \text{ then } S \subset I

3. Conclusion

Since all students are engineers and all engineers are innovative, it mathematically follows that:

\text{Conclusion: All students are innovative.}

Summary of the Syllogism:

Therefore, All $C$ are $B$ (All Students are Innovative)