{"id":90237,"date":"2025-06-01T10:23:40","date_gmt":"2025-06-01T10:23:40","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90237"},"modified":"2025-06-01T10:23:40","modified_gmt":"2025-06-01T10:23:40","slug":"suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/","title":{"rendered":"Suppose a, b, c, d and e are five consecutive odd numbers in ascending"},"content":{"rendered":"<p>Suppose a, b, c, d and e are five consecutive odd numbers in ascending order. Consider the following statements:<\/p>\n<ul>\n<li>1. Their average is (a+4).<\/li>\n<li>2. Their average is (b+2).<\/li>\n<li>3. Their average is (e-4).<\/li>\n<\/ul>\n<p>Which of the statements given above is\/are correct?<\/p>\n<p>[amp_mcq option1=&#8221;1 only&#8221; option2=&#8221;2 and 3 only&#8221; option3=&#8221;1 and 3 only&#8221; option4=&#8221;1, 2 and 3&#8243; correct=&#8221;option4&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CAPF &#8211; 2018<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2018.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2018\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe correct answer is D) 1, 2 and 3.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nLet the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8.<br \/>\nThe average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4.<br \/>\nNow let&#8217;s check the statements:<br \/>\n1. Their average is (a+4). This is correct.<br \/>\n2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct.<br \/>\n3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct.<br \/>\nAll three statements are correct.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nFor any sequence of consecutive numbers (arithmetic progression), the average is equal to the median. In this case, c is the middle number, and c = a+4. The average is also the average of the first and last term: (a+e)\/2 = (a + a+8)\/2 = (2a+8)\/2 = a+4. Similarly, the average of the second and fourth term: (b+d)\/2 = (a+2 + a+6)\/2 = (2a+8)\/2 = a+4.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Suppose a, b, c, d and e are five consecutive odd numbers in ascending order. Consider the following statements: 1. Their average is (a+4). 2. Their average is (b+2). 3. Their average is (e-4). Which of the statements given above is\/are correct? [amp_mcq option1=&#8221;1 only&#8221; option2=&#8221;2 and 3 only&#8221; option3=&#8221;1 and 3 only&#8221; option4=&#8221;1, 2 &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Suppose a, b, c, d and e are five consecutive odd numbers in ascending\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/#more-90237\">Detailed Solution<span class=\"screen-reader-text\">Suppose a, b, c, d and e are five consecutive odd numbers in ascending<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1114,1102],"class_list":["post-90237","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1114","tag-quantitative-aptitude-and-reasoning","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>Suppose a, b, c, d and e are five consecutive odd numbers in ascending<\/title>\n<meta name=\"description\" content=\"The correct answer is D) 1, 2 and 3. Let the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8. The average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4. Now let&#039;s check the statements: 1. Their average is (a+4). This is correct. 2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct. 3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct. All three statements are correct.\" \/>\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\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Suppose a, b, c, d and e are five consecutive odd numbers in ascending\" \/>\n<meta property=\"og:description\" content=\"The correct answer is D) 1, 2 and 3. Let the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8. The average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4. Now let&#039;s check the statements: 1. Their average is (a+4). This is correct. 2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct. 3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct. All three statements are correct.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:23:40+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":"Suppose a, b, c, d and e are five consecutive odd numbers in ascending","description":"The correct answer is D) 1, 2 and 3. Let the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8. The average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4. Now let's check the statements: 1. Their average is (a+4). This is correct. 2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct. 3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct. All three statements are correct.","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\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/","og_locale":"en_US","og_type":"article","og_title":"Suppose a, b, c, d and e are five consecutive odd numbers in ascending","og_description":"The correct answer is D) 1, 2 and 3. Let the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8. The average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4. Now let's check the statements: 1. Their average is (a+4). This is correct. 2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct. 3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct. All three statements are correct.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:23:40+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\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/","url":"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/","name":"Suppose a, b, c, d and e are five consecutive odd numbers in ascending","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:23:40+00:00","dateModified":"2025-06-01T10:23:40+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is D) 1, 2 and 3. Let the five consecutive odd numbers in ascending order be a, a+2, a+4, a+6, and a+8. Thus, b=a+2, c=a+4, d=a+6, e=a+8. The average of these five numbers is (a + (a+2) + (a+4) + (a+6) + (a+8)) \/ 5 = (5a + 20) \/ 5 = a + 4. Now let's check the statements: 1. Their average is (a+4). This is correct. 2. Their average is (b+2). Since b = a+2, b+2 = (a+2)+2 = a+4. This is correct. 3. Their average is (e-4). Since e = a+8, e-4 = (a+8)-4 = a+4. This is correct. All three statements are correct.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/suppose-a-b-c-d-and-e-are-five-consecutive-odd-numbers-in-ascending\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"Suppose a, b, c, d and e are five consecutive odd numbers in ascending"}]},{"@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\/90237","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=90237"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90237\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90237"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90237"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}