{"id":6494,"date":"2020-08-27T14:00:00","date_gmt":"2020-08-27T08:30:00","guid":{"rendered":"https:\/\/online.2iim.com\/cat-exam\/blogs\/?p=6494"},"modified":"2020-08-27T02:22:46","modified_gmt":"2020-08-26T20:52:46","slug":"cat-logical-reasoning-an-intriguing-lr-puzzle","status":"publish","type":"post","link":"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/cat-logical-reasoning-an-intriguing-lr-puzzle\/","title":{"rendered":"CAT Logical Reasoning | An Intriguing LR Puzzle"},"content":{"rendered":"\n
\"CAT<\/figure>\n\n\n\n

Here is a rather curious LR Puzzle. Have a crack at it before checking out the detailed solution given below. Happy Solving! You might also want to check out this wonderful article about Time Management and DILR<\/a>!<\/p>\n\n\n\n\n\n

LR Puzzle – Question<\/span><\/h2>\n\n\n\n
\n

Consider a cuboid of dimension 6cm * 8cm * 5cm. Three pairs of opposite sides of this cube are painted Red, Green and Blue.  The largest surfaces have been painted Red, the smallest have been painted Blue. This cuboid is subsequently broken down into smaller cubes of dimension 1cm * 1cm * 1cm. Answer the following questions based on the information provided.<\/strong><\/em><\/p>\n\n\n\n

  1. How many of the smaller cubes have none of their sides painted?<\/span><\/em><\/li>
  2. How many have exactly 2 sides painted?<\/span><\/em><\/li>
  3. How many more cubes have red paint as one of their surfaces than the number of ones that have blue paint on them?<\/span><\/em><\/li><\/ol>\n<\/div><\/div>\n\n\n\n
    \"LR
    No peeking<\/strong> until you’ve tried solving it! \ud83d\ude1b<\/em><\/figcaption><\/figure><\/div>\n\n\n\n

    Did you have fun solving this? Check out this Detailed Explanation<\/span>!<\/h2>\n\n\n\n

    We have been provided with a cube of dimensions 6*8*5, with the faces coloured blue, green and red. The 8*6 surfaces are painted red and the 6*5 surfaces are painted blue. So, the middle 8%5 should have been painted green. In total the cubic units are 240 in number.<\/p>\n\n\n\n

    Before we go into the solutions, let us define a few terms<\/em><\/h4>\n\n\n\n
    1. Firstly, the cuboid has six surfaces. For the purpose of this question, imagine the room you are in to be the cuboid. The cuboid has 3 pairs of rectangular surfaces around it<\/em><\/li>
    2. Secondly, there are totally 8 * 6 * 5 = 240 smaller cubes that constitute this larger cuboid.<\/em><\/li>
    3. Thirdly, we are going to take a count of the different parts of this cuboid.<\/em>