CAT LR DI section has become increasingly tough beginning from 2015. However, Understanding the basics of Grid Puzzles, Math Puzzles, Sequencing Puzzles, Pattern based Puzzles and Visualisation etc forms an integral part of solving tougher CAT level LR DI questions for the CAT Exam. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
A large cube, of total volume 512 cm3 is made up of smaller 1 cm3 cubes. The larger cube is made by following these rules:
1. Start from the left hand side, and number the small cubes 1 to 8, from left to right.
2. Place cube no. 9 behind cube no. 1 to start the second row, and proceed all the way to cube no. 64
3. Start the second layer on top of cube no 1, and build the second layer from left to right, and front to back like the first layer.
On the bottom-most square layer of the cube, consider the surface diagonal that has the square numbered 8, find the sum of all the numbers on the cubes on this surface diagonal on the bottom-most layer.
Find the number on the small cube at the other end of the body diagonal that has the small cube numbered 1.
Find the number on the small cube at the other end of the body diagonal that has the small cube numbered 57.
Find the sum of all the numbers on the body diagonal that has the small cube numbered 1.
On the big cube, there exists an external surface whose four corner cubes have the numbers 8, 64, 449 and 512. Find the sum of all the numbers on the cubes on this surface.
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