{"id":2600,"date":"2024-03-05T15:34:50","date_gmt":"2024-03-05T15:34:50","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2600"},"modified":"2024-03-05T15:34:50","modified_gmt":"2024-03-05T15:34:50","slug":"the-last-number-which-must-be-added-to-7912-to-make-it-a-perfect-square-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-last-number-which-must-be-added-to-7912-to-make-it-a-perfect-square-is\/","title":{"rendered":"The last number, which must be added to 7912 to make it a perfect square, is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;8&#8243; option2=&#8221;9&#8243; option3=&#8221;12&#8243; option4=&#8221;16&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a) 8.<\/p>\n<p>A perfect square is a number that can be obtained by squaring an integer. For example, 16 is a perfect square because it is equal to $4^2$.<\/p>\n<p>To find the last number that must be added to 7912 to make it a perfect square, we can start by finding the square root of 7912. The square root of 7912 is approximately 88.83. This means that 7912 is very close to $88.83^2$, which is 7793.24.<\/p>\n<p>To make 7912 a perfect square, we need to add a number that is close to 7793.24 &#8211; 7912 = -120.76. The only answer choice that is close to -120.76 is 8.<\/p>\n<p>Therefore, the last number that must be added to 7912 to make it a perfect square is 8.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<p>(a) 8: This is the correct answer. 8 is the only answer choice that is close to -120.76, which is the difference between 7793.24 and 7912.<br \/>\n(b) 9: 9 is not close to -120.76. Therefore, it is not the correct answer.<br \/>\n(c) 12: 12 is not close to -120.76. Therefore, it is not the correct answer.<br \/>\n(d) 16: 16 is not close to -120.76. Therefore, it is not the correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;8&#8243; option2=&#8221;9&#8243; option3=&#8221;12&#8243; option4=&#8221;16&#8243; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75],"tags":[],"class_list":["post-2600","post","type-post","status-publish","format-standard","hentry","category-number-theory","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>The last number, which must be added to 7912 to make it a perfect square, is<\/title>\n<meta name=\"description\" content=\"A perfect square is a number that can be obtained by squaring an integer. 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