CAT (QA) PYQs

Points $E, F, G, H$ lie on the sides $A B, B C, C D$, and $D A$, respectively, of a square $A B C D$. If $E F G H$ 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

If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is

The cost of fencing a rectangular plot is $200$ per ft along one side, and $100$ per ft along the three other sides. If the area of the rectangular plot is $60000$ sq. ft, then the lowest possible cost of fencing all four sides, in INR, is