{"id":2196,"date":"2024-03-05T15:29:09","date_gmt":"2024-03-05T15:29:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2196"},"modified":"2024-03-05T15:29:09","modified_gmt":"2024-03-05T15:29:09","slug":"a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/","title":{"rendered":"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;37&#8243; option2=&#8221;35&#8243; option3=&#8221;33&#8243; option4=&#8221;31&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a).<\/p>\n<p>Let $x$ be the batsman&#8217;s average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $\\frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $\\frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $\\frac{16x+85}{17}=\\boxed{37}$.<\/p>\n<p>Option (b) is incorrect because it is the average after 16 innings, not after 17 innings. Option (c) is incorrect because it is 2 runs lower than the average after 16 innings, not 2 runs higher. Option (d) is incorrect because it is 4 runs lower than the average after 16 innings.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;37&#8243; option2=&#8221;35&#8243; option3=&#8221;33&#8243; option4=&#8221;31&#8243; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30],"tags":[],"class_list":["post-2196","post","type-post","status-publish","format-standard","hentry","category-mathematics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is<\/title>\n<meta name=\"description\" content=\"Let $x$ be the batsman&#039;s average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $frac{16x+85}{17}=boxed{37}$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the batsman&#039;s average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $frac{16x+85}{17}=boxed{37}$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:29:09+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is","description":"Let $x$ be the batsman's average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $frac{16x+85}{17}=boxed{37}$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/","og_locale":"en_US","og_type":"article","og_title":"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is","og_description":"Let $x$ be the batsman's average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $frac{16x+85}{17}=boxed{37}$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:29:09+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/","name":"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:29:09+00:00","dateModified":"2024-03-05T15:29:09+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the batsman's average after 16 innings. Then his total score after 16 innings is $16x$. In his 17th inning, he scores 85, so his total score after 17 innings is $16x+85$. His average after 17 innings is therefore $\\frac{16x+85}{17}$. We are told that this average is 2 runs higher than his average after 16 innings, so we have the equation $\\frac{16x+85}{17}=x+2$. Solving for $x$, we get $x=37$. Therefore, his average after 17 innings is $\\frac{16x+85}{17}=\\boxed{37}$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-batsman-in-his-17th-inning-makes-a-score-of-85-and-thereby-increases-his-average-by-his-average-after-17th-inning-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"mathematics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/mathematics\/"},{"@type":"ListItem","position":4,"name":"A batsman in his 17th inning makes a score of 85, and thereby increases his average by His average after 17th inning is"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2196","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=2196"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/2196\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=2196"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=2196"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=2196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}