Ketaki and Roshni barely had any time to recover from the unceremonious visit by Vandana – The Ghost of CAT Past when the CBT CAT 2009 announcement hit the local newspapers, bringing in more revelations and surprises. Ketaki and Roshni were left clueless about what to do and how to prepare for the CBT CAT. They decided to communicate with Vandana using a certain “Planchette” method that they’d heard of in college. They thought only she could help allay their fears, being their only link to the paranormal world. They recited a few incantations and suddenly, the lights went off and the climate became extremely chilly. The room began to shake and a weird mist engulfed the room. A red light filled the room from outside the window and frost seemed to condense on the window.
Suddenly a voice ran through the room: “How dare you awaken the dead!!! You silly girls!!! You are now destined for doom.” The girls tried reasoning with the voice but to no avail. Suddenly, numbers started appearing on the window panes as though an invisible hand was writing on them from outside the window.
And the voice was heard again: “You girls are attempting CBT CAT. I guess you’ll are doomed enough. I shall give you a single opportunity to save yourselves from my wrath. On the window there are nine square panes. You need to fill in the empty squares such that the entire window becomes a “Magic Square”. A “Magic Square” is an arrangement of distinct integers in a square such that the numbers in all rows, all columns, and both diagonals sum to the same constant. If you girls manage to solve this, you will break the charm placed upon this room and I’ll send in one of the Ghosts in my CAT content team to help you. If you don’t, your journey ends here. You will freeze to death. ” Help Ketaki and Roshni solve the puzzle and keep their CAT aspirations alive (and their selves too!). Provide a detailed explanation along with your answer.