{"id":92378,"date":"2025-06-01T11:22:30","date_gmt":"2025-06-01T11:22:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92378"},"modified":"2025-06-01T11:22:30","modified_gmt":"2025-06-01T11:22:30","slug":"the-rabbit-population-in-community-a-increases-at-25-per-year-while-t","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/","title":{"rendered":"The rabbit population in community A increases at 25% per year while t"},"content":{"rendered":"<p>The rabbit population in community A increases at 25% per year while that in community B increases at 50% per year. If the present populations of A and B are equal, what will be the ratio of the number of rabbits in community B to that in community A after 2 years ?<\/p>\n<p>[amp_mcq option1=&#8221;1.44&#8243; option2=&#8221;1.72&#8243; option3=&#8221;1.90&#8243; option4=&#8221;1.25&#8243; correct=&#8221;option1&#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 CISF-AC-EXE &#8211; 2017<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cisf-ac-exe-2017.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cisf-ac-exe-2017\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe correct answer is A.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nLet the present population of rabbits in community A and B be P.<br \/>\nPopulation growth in community A is 25% per year. After &#8216;n&#8217; years, the population will be P * (1 + 0.25)^n.<br \/>\nPopulation growth in community B is 50% per year. After &#8216;n&#8217; years, the population will be P * (1 + 0.50)^n.<br \/>\nWe need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nPopulation of A after 2 years = P_A(2) = P * (1 + 0.25)\u00b2 = P * (1.25)\u00b2 = P * 1.5625.<br \/>\nPopulation of B after 2 years = P_B(2) = P * (1 + 0.50)\u00b2 = P * (1.50)\u00b2 = P * 2.25.<br \/>\nThe ratio of the number of rabbits in community B to that in community A after 2 years is P_B(2) \/ P_A(2).<br \/>\nRatio = (P * 2.25) \/ (P * 1.5625) = 2.25 \/ 1.5625.<br \/>\nTo calculate 2.25 \/ 1.5625, we can write it as 22500 \/ 15625.<br \/>\nDivide both by 25: 900 \/ 625.<br \/>\nDivide both by 25 again: 36 \/ 25.<br \/>\n36 \/ 25 = 1.44.<br \/>\nThe ratio is 1.44.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>The rabbit population in community A increases at 25% per year while that in community B increases at 50% per year. If the present populations of A and B are equal, what will be the ratio of the number of rabbits in community B to that in community A after 2 years ? [amp_mcq option1=&#8221;1.44&#8243; &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"The rabbit population in community A increases at 25% per year while t\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/#more-92378\">Detailed Solution<span class=\"screen-reader-text\">The rabbit population in community A increases at 25% per year while t<\/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":[1089],"tags":[1101,1102],"class_list":["post-92378","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1101","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>The rabbit population in community A increases at 25% per year while t<\/title>\n<meta name=\"description\" content=\"The correct answer is A. Let the present population of rabbits in community A and B be P. Population growth in community A is 25% per year. After &#039;n&#039; years, the population will be P * (1 + 0.25)^n. Population growth in community B is 50% per year. After &#039;n&#039; years, the population will be P * (1 + 0.50)^n. We need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).\" \/>\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\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The rabbit population in community A increases at 25% per year while t\" \/>\n<meta property=\"og:description\" content=\"The correct answer is A. Let the present population of rabbits in community A and B be P. Population growth in community A is 25% per year. After &#039;n&#039; years, the population will be P * (1 + 0.25)^n. Population growth in community B is 50% per year. After &#039;n&#039; years, the population will be P * (1 + 0.50)^n. We need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:22:30+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":"The rabbit population in community A increases at 25% per year while t","description":"The correct answer is A. Let the present population of rabbits in community A and B be P. Population growth in community A is 25% per year. After 'n' years, the population will be P * (1 + 0.25)^n. Population growth in community B is 50% per year. After 'n' years, the population will be P * (1 + 0.50)^n. We need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).","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\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/","og_locale":"en_US","og_type":"article","og_title":"The rabbit population in community A increases at 25% per year while t","og_description":"The correct answer is A. Let the present population of rabbits in community A and B be P. Population growth in community A is 25% per year. After 'n' years, the population will be P * (1 + 0.25)^n. Population growth in community B is 50% per year. After 'n' years, the population will be P * (1 + 0.50)^n. We need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:22:30+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\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/","name":"The rabbit population in community A increases at 25% per year while t","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:22:30+00:00","dateModified":"2025-06-01T11:22:30+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is A. Let the present population of rabbits in community A and B be P. Population growth in community A is 25% per year. After 'n' years, the population will be P * (1 + 0.25)^n. Population growth in community B is 50% per year. After 'n' years, the population will be P * (1 + 0.50)^n. We need to find the ratio of the number of rabbits in community B to that in community A after 2 years (n=2).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-rabbit-population-in-community-a-increases-at-25-per-year-while-t\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"The rabbit population in community A increases at 25% per year while t"}]},{"@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\/92378","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=92378"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/92378\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=92378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=92378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=92378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}