Statements: 1. All squares are triangles. 2. No triangle is a circle. Conclusions: I. No square is a circle. II. No circle is a square. Which conclusion(s) logically follow? MCQ with Answer and Explanation

Statements:
1. All squares are triangles.
2. No triangle is a circle.
Conclusions:
I. No square is a circle.
II. No circle is a square.
Which conclusion(s) logically follow?
A. Only conclusion I follows
B. Only conclusion II follows
C. Both I and II follow
D. Neither I nor II follows
Answer: Option C
Solution (By JKExamLibrary)
Since all squares are inside the triangle category, and nothing in the triangle category touches the circle category, squares and circles can never overlap. Therefore, both 'No square is a circle' and 'No circle is a square' are true.

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Practice More Statement and Conclusion Questions

Question #1
Statement:
Quality has a price tag. India is allocating plenty of funds to education.
Conclusions:
I. Quality of education in India would improve.
II. Funding alone can enhance the quality of education.
Which conclusion(s) logically follow?
A. Only conclusion II follows
B. Both I and II follow
C. Only conclusion I follows
D. Neither I nor II follows

Correct Answer: Option C


Explanation:
The statement sets up a correlation between price (funds) and quality. If India is allocating funds to education, it logically follows that the intended quality would improve (I). However, the statement doesn't claim funding *alone* is sufficient without proper execution (II does not follow).

This question belongs to: Reasoning Statement and Conclusion
Question #2
Statement: Hard work is the key to success. Conclusions: I. All successful people are hardworking. II. Laziness leads to failure.
A. Only II follows
B. Only I follows
C. Neither I nor II follows
D. Both I and II follow

Correct Answer: Option C


Explanation:
I does not follow: the statement does not say that all successful people are hardworking (there could be other factors). II is an assumption not directly stated. Neither follows.

This question belongs to: Reasoning Statement and Conclusion
Question #3
Statement: The team won the championship. Conclusions: I. They practiced hard. II. They received a trophy.
A. Only I follows
B. Both I and II follow
C. Only II follows
D. Neither I nor II follows

Correct Answer: Option C


Explanation:
Winning does not prove hard practice (I). Typically, winning a championship means getting a trophy (II). So II follows.

This question belongs to: Reasoning Statement and Conclusion