Statements: 1. No student is a teacher. 2. All teachers are principals. Conclusions: I. No student is a principal. II. Some principals are teachers. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. No student is a teacher.
2. All teachers are principals.
Conclusions:
I. No student is a principal.
II. Some principals are teachers.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Neither I nor II follows
C. Only conclusion II follows
D. Only conclusion I follows
Answer: Option C
Solution (By JKExamLibrary)
While no student is a teacher, the principal category could still encompass students outside of the teacher category. Therefore, I does not strictly follow. Since all teachers are principals, it is a fact that some principals are teachers (Conclusion II).
Explanation:
Since some A are C, and all A are inside B, the intersection of A and C must also be inside B, meaning some B are C (I). 'Some A are C' directly implies its reverse 'Some C are A' (II). Both follow.
Statements:
1. Some musicians are singers.
2. All singers are dancers.
Conclusions:
I. Some musicians are dancers.
II. No musician is a dancer.
Which conclusion(s) logically follow?
Explanation:
The musicians who are singers must also be dancers because all singers are dancers. Therefore, some musicians are definitely dancers. Conclusion I is true, and Conclusion II is false.
No comments yet. Be the first to start the discussion!