Question

In each question below are two/three statements followed by two conclusions numbered I and II. You have to take the two/three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All squares are triangles.
No triangle is a circle.
All circles are rectangles.

Conclusions
I. No square is circle.
II. At least some circles are squares.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either conclusion I or conclusion II follows
• D. Neither conclusion I nor conclusion II follows
• E. Both conclusion I and conclusion II follow

Answer 1

The correct option is A Only conclusion I follows

All squares are triangles.
No triangle is circle.
$A+E\Rightarrow E$-type of conclusion
No square is a circle. (P)
No triangle is a circle.
All circles are rectangles.
$E+A\Rightarrow O_1$-type of conclusion
Some rectangles are no triangles. (Q)
No square is a circle.
All circles are rectangles.
$E+A\Rightarrow O_1$-type of conclusion.
Some rectangles are not squares. (R)
Conclusion I is the converse of conclusion (P).