{"id":2429,"date":"2020-03-13T17:29:45","date_gmt":"2020-03-13T11:59:45","guid":{"rendered":"https:\/\/online.2iim.com\/cat-exam\/blogs\/?p=2429"},"modified":"2020-03-19T16:40:15","modified_gmt":"2020-03-19T11:10:15","slug":"pi-day-interesting-geometry-questions-to-solve","status":"publish","type":"post","link":"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-quantitative-aptitude\/pi-day-interesting-geometry-questions-to-solve\/","title":{"rendered":"? day: Interesting Geometry Questions to solve"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/03\/pi-day-3.png?fit=1024%2C576&amp;ssl=1\" alt=\"\" class=\"wp-image-2455\"\/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">? day is upon us.&nbsp;The 14<sup>th<\/sup>&nbsp;of March represented as 3.14 is called ? day. (I would have preferred the 22<sup>nd<\/sup>&nbsp;of July).&nbsp;It is a mostly forgotten day because&nbsp;E-commerce&nbsp;has not yet co-opted it. But, we at 2IIM are&nbsp;definitely fascinated&nbsp;by it.<\/p>\n\n\n\n\n\n<h2 class=\"wp-block-heading\">?&nbsp;has&nbsp;enamoured&nbsp;us for 4000 years<strong>&nbsp;<\/strong>&nbsp;<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The ratio of circumference to diameter has&nbsp;intrigued mathematicians for&nbsp;millennia.&nbsp;The Babylonians&nbsp;were among the first to think about it&nbsp;\u2013 they came up to 3.125;&nbsp;Archimedes&nbsp;went further with the idea of inscribing and circumscribing a circle with regular polygons.&nbsp;Newton had a go at it,&nbsp;and our own Ramanujan&nbsp;gave some&nbsp;efficient ways of finding approximations.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The latest approximation (it is still an approximation) goes up to&nbsp;50000000000000&nbsp;digits. That is 5 followed by 13 zeroes and beauty&nbsp;lies in the idea that we could&nbsp;be at this game for a while yet.&nbsp;&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4 interesting geometry questions to keep you engaged<strong>&nbsp;<\/strong>&nbsp;<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We have picked up 4 excellent questions&nbsp;from different topics&nbsp;all related to&nbsp;?&nbsp;to keep&nbsp;you engrossed.&nbsp;These are tougher than what you can expect in the CAT but are fun to&nbsp;try&nbsp;nevertheless. Send us your solutions by <strong>3:00 PM, 14th March 2020<\/strong> to <strong>info@2iim.com<\/strong> and we will feature the best ones on our blog. Here are the interesting geometry questions:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Five points are placed on the surface of the sphere. Prove that some four of them must be contained in some closed hemisphere.&nbsp;&nbsp;<br><\/li><li>100 people standing in a circle in an order 1 to 100. No. 1 has a sword. He kills the next person (i.e. No. 2) and gives the sword to the next (i.e. No. 3). All people do the same until only 1 survives. Which number survives at the last?\u202f\u202f&nbsp;<br><\/li><li>The radii of the smaller semi circles are 2 and 1 cm respectively. Find the radius of the red circle.&nbsp;<br><br><figure class=\"aligncenter size-large is-resized\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"172\" src=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/03\/image.png?resize=327%2C172&#038;ssl=1\" alt=\"geometry questions\" class=\"wp-image-2433\" srcset=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/03\/image.png?w=556&amp;ssl=1 556w, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/03\/image.png?resize=300%2C158&amp;ssl=1 300w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/figure><\/figure><\/li><li><strong>Data Sufficiency<\/strong>:&nbsp; Use the following answer choices for the question below.&nbsp;<br>A. Statement 1 alone is&nbsp;sufficient&nbsp;but statement 2 alone is not sufficient to answer the question asked.&nbsp;<br>B. Statement 2 alone is&nbsp;sufficient&nbsp;but statement 1 alone is not sufficient to answer the question asked.&nbsp;<br>C. Both statements 1 and 2 together are&nbsp;sufficient&nbsp;to answer the question but neither statement is&nbsp;sufficient alone.&nbsp;<br>D. Each statement alone is&nbsp;sufficient&nbsp;to answer the question.&nbsp;<br>E. Statements 1 and 2 are not&nbsp;sufficient&nbsp;to answer the question asked and additional data is needed to&nbsp;answer the statements.&nbsp;<br><br>Is the area of a certain circle greater than the area of a certain equilateral triangle?&nbsp;<br>1) The perimeter of the equilateral triangle is less than the circumference of the circle.&nbsp;<br>2) The circumference of the circle is less than the perimeter of the equilateral triangle.&nbsp;<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">For more CAT questions from Geometry, head onto &#8211; <a rel=\"noreferrer noopener\" aria-label=\"2IIM's CAT Questionbank (opens in a new tab)\" href=\"https:\/\/iim-cat-questions-answers.2iim.com\/\" target=\"_blank\">2IIM&#8217;s CAT Questionbank<\/a> . Happy solving!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Detailed explanations with video solutions for the above tested questions are available here: <a href=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-quantitative-aptitude\/pi-day-solutions-to-interesting-geometry-questions\/\">https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-quantitative-aptitude\/pi-day-solutions-to-interesting-geometry-questions\/<\/a><\/p>\n\n\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Hakuna Matata<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">No discussion on ? ends without a reference to the Circle of Life and&nbsp;a call-out to the&nbsp;utterly delightful phrase \u2018Hakuna Matata\u2019.&nbsp;Hakuna Matata means \u2018No worries for the rest of your Days\u2019. We at 2IIM wish that you jump into this CAT journey, have plenty of fun preparing for it and subscribe to the carefree philosophy Hakuna Matata.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Happy CAT preparation to you all!&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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>As a part of pi day celebrations on March 14th, 2IIM brings a bunch of interesting Geometry questions that are related to &#8220;pi&#8221;. Solve CAT questions.<\/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":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_hide_featured_image":false,"_jetpack_featured_image_duplicate_dismissed":0,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[2],"tags":[27,145,144],"class_list":["post-2429","post","type-post","status-publish","format-standard","category-cat-quantitative-aptitude","tag-cat-preparation","tag-cat-questions","tag-geometry-pi","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>? day: Interesting Geometry Questions to solve - 2IIM CAT Preparation<\/title>\n<meta name=\"description\" content=\"As a part of pi day celebrations on March 14th, 2IIM brings a bunch of interesting Geometry questions that are related to &quot;pi&quot;. Solve CAT questions.\" \/>\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-quantitative-aptitude\/pi-day-interesting-geometry-questions-to-solve\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"? day: Interesting Geometry Questions to solve - 2IIM CAT Preparation\" \/>\n<meta property=\"og:description\" content=\"As a part of pi day celebrations on March 14th, 2IIM brings a bunch of interesting Geometry questions that are related to &quot;pi&quot;. Solve CAT questions.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-quantitative-aptitude\/pi-day-interesting-geometry-questions-to-solve\/\" \/>\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=\"2020-03-13T11:59:45+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-03-19T11:10:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/03\/pi-day-3.png?fit=1024%2C576&amp;ssl=1\" \/>\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-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/\"},\"author\":{\"name\":\"Rajesh\",\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/#\\\/schema\\\/person\\\/68c493689788f21e63154646fbec06b1\"},\"headline\":\"? day: Interesting Geometry Questions to solve\",\"datePublished\":\"2020-03-13T11:59:45+00:00\",\"dateModified\":\"2020-03-19T11:10:15+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/\"},\"wordCount\":610,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/wp-content\\\/uploads\\\/2020\\\/03\\\/pi-day-3.png?fit=1024%2C576&amp;ssl=1\",\"keywords\":[\"CAT Preparation\",\"CAT questions\",\"Geometry Pi\"],\"articleSection\":[\"CAT Quantitative Aptitude\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/\",\"url\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/\",\"name\":\"? day: Interesting Geometry Questions to solve - 2IIM CAT Preparation\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/cat-quantitative-aptitude\\\/pi-day-interesting-geometry-questions-to-solve\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/online.2iim.com\\\/cat-exam\\\/blogs\\\/wp-content\\\/uploads\\\/2020\\\/03\\\/pi-day-3.png?fit=1024%2C576&amp;ssl=1\",\"datePublished\":\"2020-03-13T11:59:45+00:00\",\"dateModified\":\"2020-03-19T11:10:15+00:00\",\"description\":\"As a part of pi day celebrations on March 14th, 2IIM brings a bunch of interesting Geometry questions that are related to \\\"pi\\\". 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This right here is an anomaly, as 22\/7 is a more accurate approximation of Pi than is 3.14.","rel":"","context":"In &quot;CAT Preparation Strategy&quot;","block_context":{"text":"CAT Preparation Strategy","link":"https:\/\/online.2iim.com\/cat-exam\/blogs\/category\/cat-preparation-strategy\/"},"img":{"alt_text":"Pi Day","src":"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/07\/My-Post-Copy.jpg?fit=1200%2C1200&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/07\/My-Post-Copy.jpg?fit=1200%2C1200&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/07\/My-Post-Copy.jpg?fit=1200%2C1200&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/07\/My-Post-Copy.jpg?fit=1200%2C1200&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/online.2iim.com\/cat-exam\/blogs\/wp-content\/uploads\/2020\/07\/My-Post-Copy.jpg?fit=1200%2C1200&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":6235,"url":"https:\/\/online.2iim.com\/cat-exam\/blogs\/cat-preparation-strategy\/cat-geometry-preparation-strategy\/","url_meta":{"origin":2429,"position":3},"title":"CAT Geometry Preparation Strategy","author":"Rajesh","date":"August 21, 2020","format":false,"excerpt":"TL;DR: Learn the theory. 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