{"id":89214,"date":"2025-06-01T09:59:08","date_gmt":"2025-06-01T09:59:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89214"},"modified":"2025-06-01T09:59:08","modified_gmt":"2025-06-01T09:59:08","slug":"the-missing-number-in-the-following-table-is-1-7-9-2-14","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/","title":{"rendered":"The missing number in the following table is :\n \n 1 7 9 \n 2 14"},"content":{"rendered":"

The missing number in the following table is :<\/p>\n\n\n\n\n
1<\/td>\n7<\/td>\n9<\/td>\n<\/tr>\n
2<\/td>\n14<\/td>\n?<\/td>\n<\/tr>\n
3<\/td>\n105<\/td>\n117<\/td>\n<\/tr>\n<\/table>\n

[amp_mcq option1=”12″ option2=”16″ option3=”26″ option4=”20″ correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2009<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is D.
\n<\/section>\n
\nLet the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows.
\nThe table values are:
\n$R_1: C_1=1, C_2=7, C_3=9$
\n$R_2: C_1=2, C_2=14, C_3=?$
\n$R_3: C_1=3, C_2=105, C_3=117$<\/p>\n

Let’s look for a relationship between the columns within each row.
\nObserve $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$.
\nObserve $R_3$: $3, 105, 117$. Let’s test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well.
\nLet’s apply this relationship to $R_2$: $C_1=2, C_2=14$.
\nThe missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.
\n<\/section>\n

\nMatrix or table-based reasoning problems often involve arithmetic operations, sequences, or functional relationships between the numbers in rows or columns. Identifying the pattern from the given rows is crucial.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The missing number in the following table is : 1 7 9 2 14 ? 3 105 117 [amp_mcq option1=”12″ option2=”16″ option3=”26″ option4=”20″ correct=”option4″] This question was previously asked in UPSC CAPF – 2009 Download PDFAttempt Online The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and … <\/p>\n

Detailed SolutionThe missing number in the following table is :<\/p>\n

1 7 9
\n 2 14<\/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":[1462,1102],"class_list":["post-89214","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1462","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe missing number in the following table is : 1 7 9 2 14<\/title>\n<meta name=\"description\" content=\"The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows. The table values are: $R_1: C_1=1, C_2=7, C_3=9$ $R_2: C_1=2, C_2=14, C_3=?$ $R_3: C_1=3, C_2=105, C_3=117$ Let's look for a relationship between the columns within each row. Observe $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$. Observe $R_3$: $3, 105, 117$. Let's test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well. Let's apply this relationship to $R_2$: $C_1=2, C_2=14$. The missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.\" \/>\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-missing-number-in-the-following-table-is-1-7-9-2-14\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The missing number in the following table is : 1 7 9 2 14\" \/>\n<meta property=\"og:description\" content=\"The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows. The table values are: $R_1: C_1=1, C_2=7, C_3=9$ $R_2: C_1=2, C_2=14, C_3=?$ $R_3: C_1=3, C_2=105, C_3=117$ Let's look for a relationship between the columns within each row. Observe $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$. Observe $R_3$: $3, 105, 117$. Let's test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well. Let's apply this relationship to $R_2$: $C_1=2, C_2=14$. The missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T09:59:08+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 missing number in the following table is : 1 7 9 2 14","description":"The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows. The table values are: $R_1: C_1=1, C_2=7, C_3=9$ $R_2: C_1=2, C_2=14, C_3=?$ $R_3: C_1=3, C_2=105, C_3=117$ Let's look for a relationship between the columns within each row. Observe $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$. Observe $R_3$: $3, 105, 117$. Let's test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well. Let's apply this relationship to $R_2$: $C_1=2, C_2=14$. The missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.","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-missing-number-in-the-following-table-is-1-7-9-2-14\/","og_locale":"en_US","og_type":"article","og_title":"The missing number in the following table is : 1 7 9 2 14","og_description":"The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows. The table values are: $R_1: C_1=1, C_2=7, C_3=9$ $R_2: C_1=2, C_2=14, C_3=?$ $R_3: C_1=3, C_2=105, C_3=117$ Let's look for a relationship between the columns within each row. Observe $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$. Observe $R_3$: $3, 105, 117$. Let's test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well. Let's apply this relationship to $R_2$: $C_1=2, C_2=14$. The missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T09:59:08+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-missing-number-in-the-following-table-is-1-7-9-2-14\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/","name":"The missing number in the following table is : 1 7 9 2 14","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T09:59:08+00:00","dateModified":"2025-06-01T09:59:08+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is D. Let the numbers in the table be $C_1, C_2, C_3$ for columns and $R_1, R_2, R_3$ for rows. The table values are: $R_1: C_1=1, C_2=7, C_3=9$ $R_2: C_1=2, C_2=14, C_3=?$ $R_3: C_1=3, C_2=105, C_3=117$ Let's look for a relationship between the columns within each row. Observe $R_1$: $1, 7, 9$. $1^2 + 7 + 1 = 1 + 7 + 1 = 9$. So $C_1^2 + C_2 + C_1 = C_3$. Observe $R_3$: $3, 105, 117$. Let's test the same relationship: $3^2 + 105 + 3 = 9 + 105 + 3 = 117$. This relationship holds for R3 as well. Let's apply this relationship to $R_2$: $C_1=2, C_2=14$. The missing number ($C_3$) should be $C_1^2 + C_2 + C_1 = 2^2 + 14 + 2 = 4 + 14 + 2 = 20$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-missing-number-in-the-following-table-is-1-7-9-2-14\/#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":"The missing number in the following table is : 1 7 9 2 14"}]},{"@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\/89214","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=89214"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89214\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}