2025 · Q88
A Question is given followed by two Statements I and II.
Question: In quadrilateral ABCD, AB=6, BC=18, CD=6, DA=9. What is diagonal BD?
Statement IBD is integer >13.
Statement IIBD is even integer.
Which one of the following is correct?
Elementary MathematicsQuadrilaterals and Polygons
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using any of the Statements
Explanation
Triangle inequalities: in triangle ABD, 3<BD<15; in triangle BCD, 12<BD<24; so 12<BD<15. Statement I (integer >13) gives BD=14 alone; Statement II (even integer) gives BD=14 alone. Either suffices.