{"id":21408,"date":"2019-05-21T11:48:15","date_gmt":"2019-05-21T06:18:15","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21408"},"modified":"2022-11-16T17:14:21","modified_gmt":"2022-11-16T11:44:21","slug":"p-is-a-particle-on-the-circle-shown-above-what-is-the-length-of-the-path-travelled-by-p-in-one-complete-revolution-around-the-circle-ogqr-2020-question-212-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/p-is-a-particle-on-the-circle-shown-above-what-is-the-length-of-the-path-travelled-by-p-in-one-complete-revolution-around-the-circle-ogqr-2020-question-212-with-solution\/","title":{"rendered":"P\u00a0is a particle on the circle shown above. What is the length of the path travelled by\u00a0P\u00a0in one complete revolution around the circle? &#8211; OGQR 2020 Question #212 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-ogqr-2020-question-no-212\">OGQR 2020: Question No. 212<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OGQR_DS_212.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>P&nbsp;is a particle on the circle shown above. What is the length of the path traveled by&nbsp;P&nbsp;in one complete revolution around the circle?<\/p>\n\n\n\n<ol><li>The diameter of the circle is 1.5&nbsp;meters.<\/li><li>The particle&nbsp;P&nbsp;moves in a clockwise direction at 0.5&nbsp;meter per second.<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Source<\/strong><\/td><td><strong>OGQR 2020<\/strong><\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry\/Word Problems<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Circle\/Distance<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"h-solution\">Solution<\/h2>\n\n\n\n<h3 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h3>\n\n\n\n<p>We are given:<\/p>\n\n\n\n<ul><li>P is a particle on the circle, as shown in the given diagram.<\/li><\/ul>\n\n\n\n<p>We need to find the length of the path travelled by P in one complete revolution around the circle.<\/p>\n\n\n\n<ul><li>In one complete revolution, P will cover the entire length of the circle.<ul><li>For any circle, its entire length is equal to the perimeter of the circle which is equal to 2\u03c0r.<\/li><\/ul><\/li><li>Thus, we need to find r to find the length of the path travelled by P in one complete revolution around the circle.<\/li><\/ul>\n\n\n\n<p>With this understanding, let us analyse the statements.<\/p>\n\n\n\n<h3 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h3>\n\n\n\n<p><em>\u201cThe diameter of the circle is 1.5&nbsp;meters.\u201d<\/em><\/p>\n\n\n\n<ul><li>Diameter = 2 \u00d7 radius<\/li><\/ul>\n\n\n\n<p>Hence, we can find the radius from this statement.<\/p>\n\n\n\n<p>Thus, statement 1 is sufficient to answer the question.<\/p>\n\n\n\n<h3 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h3>\n\n\n\n<p><em>\u201cThe particle&nbsp;P&nbsp;moves in a clockwise direction at 0.5&nbsp;meter per second.\u201d<\/em><\/p>\n\n\n\n<p>We know that Distance covered = time \u00d7 speed<\/p>\n\n\n\n<ul><li>Here, Speed = 0.5 m\/s.<\/li><li>However, we do not know in how much time P can complete one revolution of the circle.<\/li><\/ul>\n\n\n\n<p>Hence, we cannot find the length of the path traveled by P in one complete revolution around the circle.<\/p>\n\n\n\n<p>Thus, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h3 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h3>\n\n\n\n<p>Since we could determine the answer from statement 1 individually, this step is not required.<\/p>\n\n\n\n<p>Hence, the correct answer is option A.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. 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What is the length of the path traveled by&nbsp;P&nbsp;in one complete revolution around the circle? The diameter of the circle is 1.5&nbsp;meters. The particle&nbsp;P&nbsp;moves in a clockwise direction at 0.5&nbsp;meter per second. Source OGQR 2020 Type Data Sufficiency Topic Geometry\/Word Problems Sub-Topic [&hellip;]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,44,94,60,100,102],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>P\u00a0is a particle on the circle shown above. 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The diameter of the circle is 1.5&nbsp;meters. The particle&nbsp;P&nbsp;moves in a clockwise direction at 0.5&nbsp;meter per second. 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