Xavier Aptitude Test 2015 Paper

(d) Diagonals of the parallelogram intersect each other at mid-points. Now, the distance between points (17.5, 23.5) and (5.5, 7.5) = 20
Similarly, the distance between points (17.5, 23.5) and (13.5, 16) = 8.5
Hence, length of the smaller diagonal is equal or greater than 17 and length of the larger diagonal is equal or greater than 40.