{"id":21037,"date":"2019-05-13T15:53:52","date_gmt":"2019-05-13T10:23:52","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21037"},"modified":"2020-09-23T12:54:12","modified_gmt":"2020-09-23T07:24:12","slug":"what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/","title":{"rendered":"What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution"},"content":{"rendered":"A <\/span> 2<\/span> min read <\/span><\/span>

OG 2020: Question No. 310<\/h2>\n

What is the remainder when the positive integer n is divided by 5?<\/p>\n

    \n
  1. When n is divided by 3, the quotient is 4 and the remainder is 1.<\/li>\n
  2. When n is divided by 4, the remainder is 1.<\/li>\n<\/ol>\n

     <\/p>\n\n\n\n\n\n\n\n
    Source<\/td>\nOG 2020<\/td>\n<\/tr>\n
    Type<\/td>\nData Sufficiency<\/td>\n<\/tr>\n
    Topic<\/td>\nNumber Properties<\/td>\n<\/tr>\n
    Sub-Topic<\/td>\nDivisibility & Remainders<\/td>\n<\/tr>\n
    Difficulty<\/td>\nEasy – Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

    Solution<\/h3>\n

    Steps 1 & 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n

    In this question, we are given<\/p>\n

      \n
    • The number n is a positive integer.<\/li>\n<\/ul>\n

      We need to determine<\/p>\n

        \n
      • The remainder, when n is divided by 5.<\/li>\n<\/ul>\n

        To find the remainder when n is divided by 5, we need to know the value of n or the units digit of n.<\/p>\n

        As we do not have any pertinent information about n in the question stem, let us now analyse the individual statements.<\/p>\n

         <\/p>\n

        Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n

        As per the information given in statement 1, when n is divided by 3, the quotient is 4 and the remainder is 1.<\/p>\n

          \n
        • Therefore, the value of n = 3 \u00d7 4 + 1 = 12 + 1 = 13<\/li>\n<\/ul>\n

          As we can determine the value of n, we will also be able to find the remainder when n is divided by 5.<\/p>\n

          Hence, statement 1 is sufficient to answer the question.<\/p>\n

           <\/p>\n

          Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n

          As per the information given in statement 2, when n is divided by 4, the remainder is 1.<\/p>\n

          However, in this division, we have no information about the quotient.<\/p>\n

            \n
          • If the quotient is 1, then n = 4 \u00d7 1 + 1 = 5, which is divisible by 5.<\/li>\n
          • If the quotient is 2, then n = 4 \u00d7 2 + 1 = 9, which is not divisible by 5.<\/li>\n<\/ul>\n

            As we cannot determine the unique value of n, statement 2 is not sufficient to answer the question.<\/p>\n

             <\/p>\n

            Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n

            Since we can determine the answer from statement 1 individually, this step is not required.<\/p>\n

            Hence, the correct answer choice is option A.<\/p>\n","protected":false},"excerpt":{"rendered":"

            OG 2020: Question No. 310 What is the remainder when the positive integer n is divided by 5? When n is divided by 3, the quotient is 4 and the remainder is 1. When n is divided by 4, the remainder is 1.   Source OG 2020 Type Data Sufficiency Topic Number Properties Sub-Topic Divisibility […]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,60,61,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"\nWhat is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution\" \/>\n<meta property=\"og:description\" content=\"OG 2020: Question No. 310 What is the remainder when the positive integer n is divided by 5? When n is divided by 3, the quotient is 4 and the remainder is 1. When n is divided by 4, the remainder is 1.   Source OG 2020 Type Data Sufficiency Topic Number Properties Sub-Topic Divisibility […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/\" \/>\n<meta property=\"og:site_name\" content=\"e-GMAT Blog | Best GMAT blog on the planet\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\" \/>\n<meta property=\"article:published_time\" content=\"2019-05-13T10:23:52+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-09-23T07:24:12+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:site\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Juhi Gupta\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\",\"name\":\"e-GMAT\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\",\"https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/\",\"https:\/\/www.youtube.com\/user\/eGMATconcepts\",\"https:\/\/twitter.com\/e_GMAT\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"contentUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"width\":908,\"height\":802,\"caption\":\"e-GMAT\"},\"image\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"name\":\"e-GMAT Blog | Best GMAT blog on the planet\",\"description\":\"Prepare for your GMAT and MBA journey\",\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage\",\"url\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/\",\"name\":\"What is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\"},\"datePublished\":\"2019-05-13T10:23:52+00:00\",\"dateModified\":\"2020-09-23T07:24:12+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Homepage\",\"item\":\"https:\/\/e-gmat.com\/blogs\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"GMAT Preparation\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"GMAT Quant\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-quant\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Number Properties\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-quant\/number-properties\/\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage\"},\"author\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/6575479511bebbf5403b0008b03dcb80\"},\"headline\":\"What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution\",\"datePublished\":\"2019-05-13T10:23:52+00:00\",\"dateModified\":\"2020-09-23T07:24:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage\"},\"wordCount\":302,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"articleSection\":[\"GMAT OG Solutions\",\"GMAT Preparation\",\"GMAT Quant\",\"Number Properties\",\"Quant OG Solutions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/6575479511bebbf5403b0008b03dcb80\",\"name\":\"Juhi Gupta\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/b553efd914fc4229f3d551d7238c382d?s=96&d=blank&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/b553efd914fc4229f3d551d7238c382d?s=96&d=blank&r=g\",\"caption\":\"Juhi Gupta\"},\"url\":\"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"What is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution","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:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/","og_locale":"en_US","og_type":"article","og_title":"What is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution","og_description":"OG 2020: Question No. 310 What is the remainder when the positive integer n is divided by 5? When n is divided by 3, the quotient is 4 and the remainder is 1. When n is divided by 4, the remainder is 1.   Source OG 2020 Type Data Sufficiency Topic Number Properties Sub-Topic Divisibility […]","og_url":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/","og_site_name":"e-GMAT Blog | Best GMAT blog on the planet","article_publisher":"https:\/\/www.facebook.com\/E-Gmat-499275643430980","article_published_time":"2019-05-13T10:23:52+00:00","article_modified_time":"2020-09-23T07:24:12+00:00","twitter_card":"summary_large_image","twitter_creator":"@e_GMAT","twitter_site":"@e_GMAT","twitter_misc":{"Written by":"Juhi Gupta","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/e-gmat.com\/blogs\/#organization","name":"e-GMAT","url":"https:\/\/e-gmat.com\/blogs\/","sameAs":["https:\/\/www.facebook.com\/E-Gmat-499275643430980","https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/","https:\/\/www.youtube.com\/user\/eGMATconcepts","https:\/\/twitter.com\/e_GMAT"],"logo":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#logo","inLanguage":"en-US","url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","contentUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","width":908,"height":802,"caption":"e-GMAT"},"image":{"@id":"https:\/\/e-gmat.com\/blogs\/#logo"}},{"@type":"WebSite","@id":"https:\/\/e-gmat.com\/blogs\/#website","url":"https:\/\/e-gmat.com\/blogs\/","name":"e-GMAT Blog | Best GMAT blog on the planet","description":"Prepare for your GMAT and MBA journey","publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage","url":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/","name":"What is the remainder when the positive integer n is divided by 5? - OG 2020 Question #310 with Solution","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/#website"},"datePublished":"2019-05-13T10:23:52+00:00","dateModified":"2020-09-23T07:24:12+00:00","breadcrumb":{"@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Homepage","item":"https:\/\/e-gmat.com\/blogs\/"},{"@type":"ListItem","position":2,"name":"GMAT Preparation","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/"},{"@type":"ListItem","position":3,"name":"GMAT Quant","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-quant\/"},{"@type":"ListItem","position":4,"name":"Number Properties","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-quant\/number-properties\/"},{"@type":"ListItem","position":5,"name":"What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution"}]},{"@type":"Article","@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#article","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage"},"author":{"@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/6575479511bebbf5403b0008b03dcb80"},"headline":"What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution","datePublished":"2019-05-13T10:23:52+00:00","dateModified":"2020-09-23T07:24:12+00:00","mainEntityOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#webpage"},"wordCount":302,"commentCount":1,"publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"articleSection":["GMAT OG Solutions","GMAT Preparation","GMAT Quant","Number Properties","Quant OG Solutions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/e-gmat.com\/blogs\/what-is-the-remainder-when-the-positive-integer-n-is-divided-by-5-og-2020-question-310-with-solution\/#respond"]}]},{"@type":"Person","@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/6575479511bebbf5403b0008b03dcb80","name":"Juhi Gupta","image":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b553efd914fc4229f3d551d7238c382d?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b553efd914fc4229f3d551d7238c382d?s=96&d=blank&r=g","caption":"Juhi Gupta"},"url":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"}]}},"_links":{"self":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21037"}],"collection":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/users\/79663"}],"replies":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/comments?post=21037"}],"version-history":[{"count":0,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21037\/revisions"}],"wp:attachment":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/media?parent=21037"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/categories?post=21037"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/tags?post=21037"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}