{"id":51,"date":"2016-08-06T16:49:02","date_gmt":"2016-08-06T11:19:02","guid":{"rendered":"http:\/\/www.examcoaching.in\/blog\/?p=51"},"modified":"2016-08-06T18:27:07","modified_gmt":"2016-08-06T12:57:07","slug":"calculation-with-number-of-shake-hands","status":"publish","type":"post","link":"https:\/\/www.examcoaching.in\/blog\/51\/calculation-with-number-of-shake-hands","title":{"rendered":"Calculation with number of Shake hands"},"content":{"rendered":"<p>PSC and other competitive exams always contains questions with shake hands. Lets see how can we solve the questions with shake hands<\/p>\n<h2>Type 1: Find Shake hands if number of people is given<\/h2>\n<blockquote><p>Total Number of shake hands exchanged if n people shake hands each other = (n<sup>2<\/sup>-n)\/2 = (n(n-1))\/2<\/p><\/blockquote>\n<p>Q1: How many shake hands were exchanged in a meeting with 20 people?<\/p>\n<p style=\"padding-left: 30px;\">(n<sup>2<\/sup>-n)\/2<br \/>\n=(20<sup>2<\/sup>-20)\/2<br \/>\n=(400-20)\/2<br \/>\n=190<\/p>\n<h2>Type 2: Find Number of people if Shake hands is given<\/h2>\n<blockquote><p>Number of people \u00a0= The Biggest among the consecutive factor of double the number of Shake hands<\/p><\/blockquote>\n<p>Q2: In a meeting 45 shake hands were exchanged. Then how many people attended the meeting?<\/p>\n<p style=\"padding-left: 30px;\">Total number of shake hands exchanged = 45<br \/>\nMultiply the total number of shake hands by 2 i.e.\u00a045 x 2 = 90<br \/>\nConsecutive factors of 90 = 10 and 9 (10 x 9 = 90)<br \/>\nBigger among them is 10<br \/>\nSo the answer is 10<\/p>\n<p>Q3: In a meeting 36 hand shakes were exchanged. Then how many people attended the meeting?<\/p>\n<p style=\"padding-left: 30px;\">Total number of shake hands exchanged =\u00a036<br \/>\nMultiply the total number of shake hands by 2 i.e.\u00a0\u00a036\u00a0x 2 =\u00a072<br \/>\nConsecutive factors of 90 = 8\u00a0and 9 (i.e.\u00a08 x 9 = 72)<br \/>\nBigger among them is\u00a09<br \/>\nSo the answer is\u00a09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>PSC and other competitive exams always contains questions with shake hands. Lets see how can we solve the questions with shake hands Type 1: Find Shake hands if number of people is given Total Number of shake hands exchanged if n people shake hands each other = (n2-n)\/2 = (n(n-1))\/2 Q1: How many shake hands [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":53,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","footnotes":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[2],"tags":[],"class_list":["post-51","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/img.examcoaching.in\/number-of-shake-hands.jpg?fit=1200%2C630&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7pDEj-P","jetpack-related-posts":[{"id":47,"url":"https:\/\/www.examcoaching.in\/blog\/47\/sum-of-numbers","url_meta":{"origin":51,"position":0},"title":"Sum of Numbers","author":"Ranjith","date":"August 5, 2016","format":false,"excerpt":"Sum of First n odd Numbers Sum of First n odd Numbers \u00a0= N2 Where N\u00a0= (max no + 1)\/2 Q1: What is the sum of first 5 odd numbers? N = 5; So the numbers are \u00a01, 3, 5, 7, 9 So N2 \u00a0= 52 = 25 i.e. 1+3+5+7+9\u2026","rel":"","context":"In &quot;Maths&quot;","block_context":{"text":"Maths","link":"https:\/\/www.examcoaching.in\/blog\/category\/maths"},"img":{"alt_text":"sum of numbers","src":"https:\/\/i0.wp.com\/img.examcoaching.in\/sum-of-numbers.jpg?fit=1200%2C630&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":8,"url":"https:\/\/www.examcoaching.in\/blog\/8\/numbers","url_meta":{"origin":51,"position":1},"title":"Numbers","author":"Ranjith","date":"April 20, 2016","format":false,"excerpt":"A number is a mathematical object used to count, measure, and label. A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for\u2026","rel":"","context":"In &quot;Maths&quot;","block_context":{"text":"Maths","link":"https:\/\/www.examcoaching.in\/blog\/category\/maths"},"img":{"alt_text":"Numbers","src":"https:\/\/i0.wp.com\/img.examcoaching.in\/numbers.jpg?fit=1200%2C900&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":21,"url":"https:\/\/www.examcoaching.in\/blog\/21\/eminent-personalities-known-name-gandhi","url_meta":{"origin":51,"position":2},"title":"Eminent personalities known by the name of Gandhi","author":"Ranjith","date":"July 6, 2016","format":false,"excerpt":"Mohandas Karamchand Gandhi or M K Gandhi was the preeminent leader of the Indian independence movement in British-ruled India. Employing nonviolent civil disobedience, Gandhi led India to independence and inspired movements for civil rights and freedom across the world. Indians widely describe Gandhi as the father of the nation. Gandhi\u2026","rel":"","context":"In &quot;History&quot;","block_context":{"text":"History","link":"https:\/\/www.examcoaching.in\/blog\/category\/history"},"img":{"alt_text":"People Known as Gandhi","src":"https:\/\/i0.wp.com\/img.examcoaching.in\/people-known-as-gandhi.jpg?fit=1000%2C625&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/posts\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/comments?post=51"}],"version-history":[{"count":1,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/posts\/51\/revisions"}],"predecessor-version":[{"id":52,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/posts\/51\/revisions\/52"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/media\/53"}],"wp:attachment":[{"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/media?parent=51"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/categories?post=51"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.examcoaching.in\/blog\/wp-json\/wp\/v2\/tags?post=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}