{"id":7112,"date":"2020-09-11T15:00:16","date_gmt":"2020-09-11T09:30:16","guid":{"rendered":"https:\/\/online.2iim.com\/cat-exam\/blogs\/?p=7112"},"modified":"2020-09-11T15:00:17","modified_gmt":"2020-09-11T09:30:17","slug":"dilr-puzzle-car-wheels-and-distance","status":"publish","type":"post","link":"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/","title":{"rendered":"DILR Puzzle | Car, Wheels and Distance"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/DILR-Puzzle-_-Car-Wheels-and-Distance-1-1024x576.png?resize=768%2C432&#038;ssl=1\" alt=\"DILR Puzzle | Car, Wheels and Distance\" class=\"wp-image-7132\" width=\"768\" height=\"432\" data-recalc-dims=\"1\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-justify\">DILR Puzzles make us think and exercise our brains. It is the the weekend now and I hope some of you are looking to utilize some time for your CAT Preparation. Here&#8217;s a small but elegant DILR puzzle for you to solve, with a detailed solution given below. Happy solving! <\/p>\n\n\n\n<p class=\"has-text-align-justify\">You might also want to check out <a href=\"https:\/\/iim-cat-questions-answers.2iim.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">2IIM&#8217;s Free Question Bank<\/a> with many <em><strong>many questions from Quant, VARC and DILR with detailed solutions<\/strong><\/em>. For more resources from 2IIM, check out this wonderful <a href=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-preparation-strategy\/80-days-to-cat-2020-the-last-mile-resources\/\" target=\"_blank\" rel=\"noreferrer noopener\">article that talks about out last mile resources<\/a>. \ud83d\ude42<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><em><span class=\"has-inline-color has-vivid-red-color\">DILR Puzzle &#8211; Question<\/span><\/em><\/h2>\n\n\n\n<p class=\"has-text-align-justify\"><em>You have a car with 4 wheels, where each of these wheels can run for 400 kms. You also have a spare wheel in your storage with the same running capacity of 400 kms as the other wheels. <\/em><\/p>\n\n\n\n<p><em><span class=\"has-inline-color has-vivid-red-color\"><strong>What is the maximum distance you can travel? <\/strong><\/span><\/em><\/p>\n\n\n\n\n\n<h3 class=\"wp-block-heading\">Take some time and solve this interesting question! <\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/batman-thinking-3.gif?resize=249%2C171&#038;ssl=1\" alt=\"Puzzle - batman thinking\" class=\"wp-image-7117\" width=\"249\" height=\"171\" data-recalc-dims=\"1\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><em><span class=\"has-inline-color has-vivid-red-color\">DILR Puzzle &#8211; Decoded <\/span><\/em><\/h2>\n\n\n\n<p class=\"has-text-align-justify\">I hope all of you had fun solving this. Let us now look at the decoding of the elegant puzzle with this detailed solution given below. <\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em>First, let us name the tyres A,B,C,D and R (Spare Tyre). Each tyre can travel a maximum distance of 400 kms. <\/em><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><strong><em>Suppose we change one tyre after travelling 100 kms. <\/em><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em>Let us tabulate the data, capturing the distance remaining for each tyre. Tyres which are used in the particular 100 km segment are highlighted in blue.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/Screenshot-5821-1024x576.png?resize=768%2C432&#038;ssl=1\" alt=\"DILR Puzzle - Solution\" class=\"wp-image-7123\" width=\"768\" height=\"432\" srcset=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/Screenshot-5821.png?resize=1024%2C576&amp;ssl=1 1024w, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/Screenshot-5821.png?resize=300%2C169&amp;ssl=1 300w, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/Screenshot-5821.png?resize=768%2C432&amp;ssl=1 768w, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/Screenshot-5821.png?w=1366&amp;ssl=1 1366w\" sizes=\"(max-width: 768px) 100vw, 768px\" data-recalc-dims=\"1\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-justify\"><em>As you can see in the table above, after 100 kms, we switch out tyre A for R and store tyre A in the storage of the car. As of this moment, A,B,C,D have 300kms left on them while R has a full capacity of 400 kms. <\/em><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em>After 200 kms, we switch out tyre B for tyre A. All the tyres except A and R have only half their capacity left ie. 200kms. <\/em><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em>After 300 kms, we switch out tyre C for tyre B and after 400 kms, D is the only wheel that hasn&#8217;t been replaced yet. Our journey feels like it must have reached its end&#8230;but no! We still have tyre C with 100kms capacity left, so we take the weared out tyre D and replace it with C. <\/em><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em>Now, all wheels have a capacity of 100 kms left in them, AFTER 400 kms. <\/em><\/p>\n\n\n\n<p class=\"has-text-align-justify\"><em><span class=\"has-inline-color has-vivid-red-color\">Therefore, the maximum distance you can travel with this car, its 4 wheels and a spare tyre, is <strong>500 kms<\/strong>. <\/span><\/em><\/p>\n\n\n\n\n\n<p class=\"has-text-align-justify\">I hope you had fun solving this DILR Puzzle. For more puzzles and games that sharpen your brain, check out this article that talks about <a href=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-preparation-strategy\/the-brain-and-the-mind-5-puzzle-games-that-boost-cat-prep\/\" target=\"_blank\" rel=\"noreferrer noopener\">5 puzzle games that optimize your brain for CAT!<\/a><\/p>\n\n\n\n<p class=\"has-text-align-justify\">Stay Safe, Best Wishes for CAT.<\/p>\n\n\n\n<p><a rel=\"noreferrer noopener\" href=\"https:\/\/www.quora.com\/profile\/Rajesh-Balasubramanian-8\" target=\"_blank\"><em>Rajesh Balasubramanian<\/em><\/a><em> takes the CAT every year and is a 4-time CAT 100 percentiler.&nbsp;He likes few things more than teaching Math and insists to this day that he is a better teacher than exam-taker.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>You have a car with 4 wheels, where each of these wheels can run for 400 kms. You also have a spare wheel in your storage with the same capacity of 400kms as the other wheels. <\/p>\n<p>What is the maximum distance you can travel?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[5,6,7],"tags":[176,210,17,405],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>DILR Puzzle | Car, Wheels and Distance - 2IIM CAT Preparation Blog<\/title>\n<meta name=\"description\" content=\"Here&#039;s an elegant DILR Puzzle about a car, it&#039;s 4 wheels, a spare wheel, and the maximum distance you can travel. Read more for the solution!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"DILR Puzzle | Car, Wheels and Distance - 2IIM CAT Preparation Blog\" \/>\n<meta property=\"og:description\" content=\"Here&#039;s an elegant DILR Puzzle about a car, it&#039;s 4 wheels, a spare wheel, and the maximum distance you can travel. Read more for the solution!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\" \/>\n<meta property=\"og:site_name\" content=\"2IIM CAT Preparation Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/2iimcat\" \/>\n<meta property=\"article:published_time\" content=\"2020-09-11T09:30:16+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-09-11T09:30:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/DILR-Puzzle-_-Car-Wheels-and-Distance-1-1024x576.png\" \/>\n<meta name=\"author\" content=\"Rajesh\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\"},\"author\":{\"name\":\"Rajesh\",\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/#\/schema\/person\/68c493689788f21e63154646fbec06b1\"},\"headline\":\"DILR Puzzle | Car, Wheels and Distance\",\"datePublished\":\"2020-09-11T09:30:16+00:00\",\"dateModified\":\"2020-09-11T09:30:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\"},\"wordCount\":440,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/#organization\"},\"image\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/DILR-Puzzle-_-Car-Wheels-and-Distance-1-1024x576.png\",\"keywords\":[\"cat 2020 dilr\",\"CAT DILR Puzzle\",\"DILR\",\"DILR Puzzle\"],\"articleSection\":[\"CAT DILR\",\"Data Interpretation For CAT\",\"Logical Reasoning For CAT\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\",\"url\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/\",\"name\":\"DILR Puzzle | Car, Wheels and Distance - 2IIM CAT Preparation Blog\",\"isPartOf\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-dilr\/dilr-puzzle-car-wheels-and-distance\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/09\/DILR-Puzzle-_-Car-Wheels-and-Distance-1-1024x576.png\",\"datePublished\":\"2020-09-11T09:30:16+00:00\",\"dateModified\":\"2020-09-11T09:30:17+00:00\",\"description\":\"Here's an elegant DILR Puzzle about a car, it's 4 wheels, a spare wheel, and the maximum distance you can travel. 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