{"id":20144,"date":"2024-04-15T05:48:58","date_gmt":"2024-04-15T05:48:58","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20144"},"modified":"2024-04-15T05:48:58","modified_gmt":"2024-04-15T05:48:58","slug":"which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/","title":{"rendered":"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&#038;{{\\text{if}}}&#038;{{\\text{x}} = 3} \\\\ {{\\text{x}} &#8211; 1,}&#038;{{\\text{if}}}&#038;{{\\text{x}} > 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&#038;{{\\text{if}}}&#038;{{\\text{x}} < 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&#038;{{\\text{if}}}&#038;{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&#038;{{\\text{if}}}&#038;{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&#038;{{\\text{if}}}&#038;{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&#038;{{\\text{if}}}&#038;{{\\text{x}} > 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} &#8211; 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9995724c01a\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    &#8221;[{\text{f}}left(                <\/div>\r\n                                                                                                                                                                                                                                                                                                                                                                                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    &#091;{\text{f}}left( {\text{x}} \right) = left{ {\begin{array}{*{20}{c}} {4,}&#038;{{\text{if}}}&#038;{{\text{x}} = 3} \\ {8 - {\text{x,}}}&#038;{{\text{if}}}&#038;{{\text{x}} \ne 3} end{array}} \right.&#093;                <\/div>\r\n                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    &#8221; option4=&#8221;$${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} &#8211; 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>A function is continuous at $x=3$ if the following three conditions hold:<\/p>\n<ol>\n<li>$\\lim_{x\\to 3}f(x)$ exists.<\/li>\n<li>$f(3)$ <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> exists.<\/li>\n<li>$\\lim_{x\\to 3}f(x)=f(3)$.<\/li>\n<\/ol>\n<p>In option A, we have<\/p>\n<p>$$\\lim_{x\\to 3^-}f(x)=\\lim_{x\\to 3^+}f(x)=2.$$<\/p>\n<p>However, $f(3)=\\frac{3+3}{3}=3$. Therefore, option A does not satisfy the third condition and is not continuous at $x=3$.<\/p>\n<p>In option B, we have<\/p>\n<p>$$\\lim_{x\\to 3^-}f(x)=4=\\lim_{x\\to 3^+}f(x)=f(3).$$<\/p>\n<p>Therefore, option B satisfies all three conditions and is continuous at $x=3$.<\/p>\n<p>In option C, we have<\/p>\n<p>$$\\lim_{x\\to 3^-}f(x)=3=\\lim_{x\\to 3^+}f(x)=3.$$<\/p>\n<p>Therefore, option C also satisfies all three conditions and is continuous at $x=3$.<\/p>\n<p>In option D, we have<\/p>\n<p>$$\\lim_{x\\to 3^-}f(x)=\\lim_{x\\to 3^+}f(x)=\\frac{1}{(3)^3-27}=\\frac{1}{0}.$$<\/p>\n<p>However, the limit $\\lim_{x\\to 3}f(x)$ does not exist, since the function is undefined at $x=3$. Therefore, option D does not satisfy the first condition and is not continuous at $x=3$.<\/p>\n<p>In conclusion, the only function that is continuous at $x=3$ is option B.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8221; option4=&#8221;$${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} &#8211; 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne Subscribe on YouTube 3$$&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[690],"tags":[],"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>Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&amp;{{\\text{if}}}&amp;{{\\text{x}} = 3} \\\\ {{\\text{x}} - 1,}&amp;{{\\text{if}}}&amp;{{\\text{x}} &gt; 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&amp;{{\\text{if}}}&amp;{{\\text{x}} &lt; 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&amp;{{\\text{if}}}&amp;{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&amp;{{\\text{if}}}&amp;{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&amp;{{\\text{if}}}&amp;{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&amp;{{\\text{if}}}&amp;{{\\text{x}} &gt; 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} - 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$<\/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:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&amp;{{\\text{if}}}&amp;{{\\text{x}} = 3} \\\\ {{\\text{x}} - 1,}&amp;{{\\text{if}}}&amp;{{\\text{x}} &gt; 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&amp;{{\\text{if}}}&amp;{{\\text{x}} &lt; 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&amp;{{\\text{if}}}&amp;{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&amp;{{\\text{if}}}&amp;{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&amp;{{\\text{if}}}&amp;{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&amp;{{\\text{if}}}&amp;{{\\text{x}} &gt; 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} - 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$\" \/>\n<meta property=\"og:description\" content=\"&#8221; option4=&#8221;$${text{f}}left( {text{x}} right) = frac{1}{{{{text{x}}^3} &#8211; 27}},,{text{if}},{text{x}} Join Our Telegram Channel Subscribe on YouTube ne 3$$&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T05:48:58+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":"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {{\\text{x}} - 1,}&{{\\text{if}}}&{{\\text{x}} > 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&{{\\text{if}}}&{{\\text{x}} < 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&{{\\text{if}}}&{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&{{\\text{if}}}&{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&{{\\text{if}}}&{{\\text{x}} > 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} - 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$","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\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/","og_locale":"en_US","og_type":"article","og_title":"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {{\\text{x}} - 1,}&{{\\text{if}}}&{{\\text{x}} > 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&{{\\text{if}}}&{{\\text{x}} < 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&{{\\text{if}}}&{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&{{\\text{if}}}&{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&{{\\text{if}}}&{{\\text{x}} > 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} - 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$","og_description":"&#8221; option4=&#8221;$${text{f}}left( {text{x}} right) = frac{1}{{{{text{x}}^3} &#8211; 27}},,{text{if}},{text{x}} Join Our Telegram Channel Subscribe on YouTube ne 3$$&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T05:48:58+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\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/","name":"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {{\\text{x}} - 1,}&{{\\text{if}}}&{{\\text{x}} > 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&{{\\text{if}}}&{{\\text{x}} < 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&{{\\text{if}}}&{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&{{\\text{if}}}&{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&{{\\text{if}}}&{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&{{\\text{if}}}&{{\\text{x}} > 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} - 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T05:48:58+00:00","dateModified":"2024-04-15T05:48:58+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-functions-is-continuous-at-x-3-a-textfleft-textx-right-left-beginarray20c-2textiftextx-3-textx\/#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":"Engineering maths","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/engineering-maths\/"},{"@type":"ListItem","position":4,"name":"Calculus","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/engineering-maths\/calculus\/"},{"@type":"ListItem","position":5,"name":"Which one of the following functions is continuous at x = 3? A. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {2,}&#038;{{\\text{if}}}&#038;{{\\text{x}} = 3} \\\\ {{\\text{x}} &#8211; 1,}&#038;{{\\text{if}}}&#038;{{\\text{x}} > 3} \\\\ {\\frac{{{\\text{x}} + 3}}{3},}&#038;{{\\text{if}}}&#038;{{\\text{x}} < 3} \\end{array}} \\right.\\] B. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {4,}&#038;{{\\text{if}}}&#038;{{\\text{x}} = 3} \\\\ {8 - {\\text{x,}}}&#038;{{\\text{if}}}&#038;{{\\text{x}} \\ne 3} \\end{array}} \\right.\\] C. \\[{\\text{f}}\\left( {\\text{x}} \\right) = \\left\\{ {\\begin{array}{*{20}{c}} {{\\text{x}} + 3,}&#038;{{\\text{if}}}&#038;{{\\text{x}} \\leqslant 3} \\\\ {{\\text{x}} - 4,}&#038;{{\\text{if}}}&#038;{{\\text{x}} > 3} \\end{array}} \\right.\\] D. $${\\text{f}}\\left( {\\text{x}} \\right) = \\frac{1}{{{{\\text{x}}^3} &#8211; 27}},\\,{\\text{if}}\\,{\\text{x}} \\ne 3$$"}]},{"@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\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?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\/20144"}],"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=20144"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/20144\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=20144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=20144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=20144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}