{"id":47874,"date":"2025-07-02T16:39:09","date_gmt":"2025-07-02T16:39:09","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=47874"},"modified":"2025-07-02T16:39:10","modified_gmt":"2025-07-02T16:39:10","slug":"a-petrol-tank-of-40-liters-is-half-full","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-petrol-tank-of-40-liters-is-half-full\/","title":{"rendered":"A petrol tank of 40 liters is half full."},"content":{"rendered":"\n<p>A petrol tank of 40 liters is half full. Jai gets another 1\/4 of the tank filled. What fraction of the tank is still empty<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s break this down step by step.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Initial state<\/strong>: The petrol tank has a total capacity of 40 liters, and it is half full. Therefore, the amount of petrol in the tank is: 12\u00d740=20\u00a0liters\\frac{1}{2} \\times 40 = 20 \\text{ liters}21\u200b\u00d740=20\u00a0liters<\/li>\n\n\n\n<li><strong>Additional filling<\/strong>: Jai adds another 1\/4 of the tank&#8217;s total capacity. Since the tank&#8217;s total capacity is 40 liters, 1\/4 of this is: 14\u00d740=10\u00a0liters\\frac{1}{4} \\times 40 = 10 \\text{ liters}41\u200b\u00d740=10\u00a0liters After Jai fills the tank with 10 liters, the total amount of petrol in the tank becomes: 20\u00a0liters+10\u00a0liters=30\u00a0liters20 \\text{ liters} + 10 \\text{ liters} = 30 \\text{ liters}20\u00a0liters+10\u00a0liters=30\u00a0liters<\/li>\n\n\n\n<li><strong>Empty space<\/strong>: The tank&#8217;s total capacity is 40 liters, and the total amount of petrol now in the tank is 30 liters. Therefore, the empty space in the tank is: 40\u00a0liters\u221230\u00a0liters=10\u00a0liters40 \\text{ liters} &#8211; 30 \\text{ liters} = 10 \\text{ liters}40\u00a0liters\u221230\u00a0liters=10\u00a0liters<\/li>\n\n\n\n<li><strong>Fraction of the tank that is empty<\/strong>: The empty space (10 liters) is a fraction of the total tank capacity (40 liters). To find this fraction, we divide the empty space by the total capacity: 1040=14\\frac{10}{40} = \\frac{1}{4}4010\u200b=41\u200b<\/li>\n<\/ol>\n\n\n\n<p>Thus, <strong>1\/4<\/strong> of the tank is still empty.<\/p>\n\n\n\n<p>In summary, after Jai fills the tank with 1\/4 of its capacity, the tank is <strong>3\/4 full<\/strong> and <strong>1\/4 empty<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-291.jpeg\" alt=\"\" class=\"wp-image-47875\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-291.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-291-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-291-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-291-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A petrol tank of 40 liters is half full. Jai gets another 1\/4 of the tank filled. What fraction of the tank is still empty The Correct Answer and Explanation is: Let&#8217;s break this down step by step. Thus, 1\/4 of the tank is still empty. In summary, after Jai fills the tank with 1\/4 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47874","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47874","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=47874"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47874\/revisions"}],"predecessor-version":[{"id":47876,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47874\/revisions\/47876"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}