Question

Identify the conclusions which can be concluded by given statements

Statement.I All squares are quadrilaterals.
Statement. II Some quadrilaterals are rectangles.
Conclusion A All rectangles are quadrilaterals.
Conclusion B All squares are rectangles.

• A. If only conclusion A follows
• B. If only conclusion B follows
• C. If either A or B follows
• D. If neither A nor B follows
• E. If both A and B follow

Answer 1

The correct option is D If neither A nor B follows

Statement.I All squares are quadrilaterals.
Statement. II Some quadrilaterals are rectangles.
Conclusion A All rectangles are quadrilaterals. False, some quadrilaterals are rectangles, so some rectangles are quadrilaterals, not all.
Conclusion B All squares are rectangles. False, all squares are quadrilateral, some quadrilaterals are rectangles, so some squares may or may not be rectangles.