2022 · Q67
A rectangle of length 10 units and breadth 8 units is split into two squares each of area x square units and two rectangles each of area y square units. Consider the following statements :
- 1y is always greater than x.
- 2y can be 15 square units.
Which of the above statements is/are correct?
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Statement 1 claims y > x always, but two 5x5 squares (x = 25) plus two 5x3 rectangles (y = 15) tile the 10x8 sheet with y < x, disproving it. That same tiling shows y = 15 is attainable, so statement 2 is true. Key disputed: a widely circulated third-party Set-A key lists A, but the explicit tiling refutes statement 1. Hence the keyed option is B.