Question 37

Logical Reasoning Statement and Conclusions Hard

Statements:Most teachers are boys.Some boys are students.Conclusion:I. Some students are boys.II. Some teachers are students.

(A) Either I or II follows
(B) Only I follows
(C) Only II follows
(D) Neither I nor II follows
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

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Logical Reasoning Question

Logical Reasoning Question


Statements:


  1. Most teachers are boys.
  2. Some boys are students.

Conclusions:


  1. Some students are boys.
  2. Some teachers are students.

Analysis:

Conclusion I: "Some students are boys."

Statement 2 explicitly states, "Some boys are students." This directly implies that
there are individuals who are both boys and students. Therefore, "Some students are boys"
is a valid conclusion and logically follows from the given statements.

Conclusion II: "Some teachers are students."

We know "Most teachers are boys" and "Some boys are students." While there is an overlap
between teachers and boys, and an overlap between boys and students, there is no direct
or guaranteed overlap between teachers and students. It's possible that the "some boys"
who are students are not among the "most teachers" who are boys. Therefore, we cannot
definitively conclude that "Some teachers are students."

Final Answer:

Based on the analysis, only conclusion I follows.

The correct option is (B) Only I follows.


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