CAT 2018 Slot 1 QA Q24 Geometry

Question 24 of the Quantitative Ability (QA) section, CAT 2018 Slot 1, with CAT's official answer.

Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is:
  1. A
    1 : 3
  2. B
    4 : 9
  3. C
    2 : 5
  4. D
    3 : 8

Answer: (A) 1 : 3 Geometry MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.