{"id":3839,"date":"2024-03-05T15:56:51","date_gmt":"2024-03-05T15:56:51","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=3839"},"modified":"2024-03-05T15:56:51","modified_gmt":"2024-03-05T15:56:51","slug":"a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/","title":{"rendered":"A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;240&#8243; option2=&#8221;288&#8243; option3=&#8221;384&#8243; option4=&#8221;480&#8243; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is (b) 288.<\/p>\n<p>Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:<\/p>\n<p>$$\\frac{x}{2} \\div 6 + \\frac{x}{2} \\div 4 = \\frac{x}{4} + \\frac{x}{8} = \\frac{3x}{8}.$$<\/p>\n<p>Instead, the student divided the number by 5, which gives:<\/p>\n<p>$$x \\div 5 = \\frac{x}{5}.$$<\/p>\n<p>The result fell short by $\\frac{3x}{8} &#8211; \\frac{x}{5} = \\frac{x}{40}$. Therefore, the given number is a multiple of 40. The only multiple of 40 among the given options is 288.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;240&#8243; option2=&#8221;288&#8243; option3=&#8221;384&#8243; option4=&#8221;480&#8243; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-3839","post","type-post","status-publish","format-standard","hentry","category-arithmetic","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 student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was<\/title>\n<meta name=\"description\" content=\"Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:\" \/>\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-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:56:51+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 student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was","description":"Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:","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-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/","og_locale":"en_US","og_type":"article","og_title":"A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was","og_description":"Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:56:51+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-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/","name":"A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:56:51+00:00","dateModified":"2024-03-05T15:56:51+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the given number. The student was asked to divide the half of $x$ by 6 and the other half by 4, and then to add the two quantities so obtained. This gives:","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-student-was-asked-to-divide-the-half-of-a-certain-number-by-6-and-the-other-half-by-4-and-then-to-add-the-two-quantities-so-obtained-instead-of-doing-so-the-student-divided-the-number-by-5-and-the\/#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":"arithmetic","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/arithmetic\/"},{"@type":"ListItem","position":4,"name":"A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by The given number was"}]},{"@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\/3839","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=3839"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/3839\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=3839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=3839"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=3839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}