{"id":287,"date":"2024-03-05T14:56:02","date_gmt":"2024-03-05T14:56:02","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=287"},"modified":"2024-03-05T14:56:02","modified_gmt":"2024-03-05T14:56:02","slug":"if-the-average-of-a-number-its-50-and-its-25-is-210-the-number-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-average-of-a-number-its-50-and-its-25-is-210-the-number-is\/","title":{"rendered":"If the average of a number, its 50% and its 25% is 210, the number is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;280&#8243; option2=&#8221;320&#8243; option3=&#8221;360&#8243; option4=&#8221;400&#8243; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is (c).<\/p>\n<p>Let $x$ be the number. We are given that the average of $x$, its 50% and its 25% is 210. This means that:<\/p>\n<p>$$\\frac{x + \\frac{1}{2}x + \\frac{1}{4}x}{3} = 210$$<\/p>\n<p>Simplifying, we get:<\/p>\n<p>$$\\frac{7}{12}x = 210$$<\/p>\n<p>Multiplying both sides by $\\frac{12}{7}$, we get:<\/p>\n<p>$$x = 360$$<\/p>\n<p>Therefore, the number is 360.<\/p>\n<p>Option (a) is incorrect because 280 is not a multiple of 7.<\/p>\n<p>Option (b) is incorrect because 320 is not a multiple of 7.<\/p>\n<p>Option (d) is incorrect because 400 is not a multiple of 7.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;280&#8243; option2=&#8221;320&#8243; option3=&#8221;360&#8243; option4=&#8221;400&#8243; 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":[33],"tags":[],"class_list":["post-287","post","type-post","status-publish","format-standard","hentry","category-algebra","no-featured-image-padding"],"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>If the average of a number, its 50% and its 25% is 210, the number is<\/title>\n<meta name=\"description\" content=\"Let $x$ be the number. 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