{"id":212291,"date":"2025-05-06T15:03:37","date_gmt":"2025-05-06T15:03:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=212291"},"modified":"2025-05-06T15:03:39","modified_gmt":"2025-05-06T15:03:39","slug":"company-b-needs-to-hire-30-new-employees","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/06\/company-b-needs-to-hire-30-new-employees\/","title":{"rendered":"Company B needs to hire 30 new employees"},"content":{"rendered":"\n<p>Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not meet the basic business requirements for the job. 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those applicants fail the background investigation. How many applicants need to apply in order to meet the hiring target? Multiply choice 30 45 50 52 60<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find out <strong>how many applicants need to apply<\/strong> for <strong>Company B to successfully hire 30 new employees<\/strong>, we need to work backward through the percentages of applicants who are <strong>filtered out<\/strong> at each stage.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step breakdown:<\/h3>\n\n\n\n<p>Let <strong>x<\/strong> be the number of applicants needed to start with.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. <strong>10% do not meet the basic business requirements<\/strong>, so:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>90% of x remain:<br>0.90&#215;0.90x<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2. <strong>12% of those remaining fail the pre-screening assessment<\/strong>, so:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>88% of the 90% remain:<br>0.88\u00d70.90x=0.792&#215;0.88 \\times 0.90x = 0.792x<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">3. <strong>23% of those remaining do not show up for the interview<\/strong>, so:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>77% of the 79.2% remain:<br>0.77\u00d70.792x=0.6108&#215;0.77 \\times 0.792x = 0.6108x<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">4. <strong>5% of those remaining fail the background check<\/strong>, so:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>95% of the 61.08% remain:<br>0.95\u00d70.6108x=0.58026&#215;0.95 \\times 0.6108x = 0.58026x<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>We want this final group to equal <strong>30 hired employees<\/strong>: 0.58026x=300.58026x = 30<\/p>\n\n\n\n<p>Now solve for xx: x=300.58026\u224851.7x = \\frac{30}{0.58026} \\approx 51.7<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>Since you can\u2019t have a fraction of an applicant, <strong>round up<\/strong> to the nearest whole number: 52\\boxed{52}<\/p>\n\n\n\n<p>This matches the <strong>multiple-choice answer: <\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Company B needs to hire 30 new employees. Ten percent (10%) of applicants do not meet the basic business requirements for the job. 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those applicants fail the background investigation. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-212291","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/212291","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=212291"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/212291\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=212291"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=212291"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=212291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}