{"id":25797,"date":"2015-08-18T16:15:12","date_gmt":"2015-08-18T19:15:12","guid":{"rendered":"http:\/\/www.estrategiaconcursos.com.br\/blog\/?p=25797"},"modified":"2019-08-09T15:25:49","modified_gmt":"2019-08-09T18:25:49","slug":"recurso-matematica-financeira-concurso-tcu-2015","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/recurso-matematica-financeira-concurso-tcu-2015\/","title":{"rendered":"Recurso &#8211; Matem\u00e1tica Financeira &#8211; Concurso TCU \/ 2015"},"content":{"rendered":"<p>Ol\u00e1 pessoal!<\/p>\n<p>No \u00faltimo domingo (16\/08) foi realizada a prova do Concurso TCU, para o cargo de Auditor Federal de Controle Externo &#8211; AUFC. Com rela\u00e7\u00e3o a <em><strong>Matem\u00e1tica Financeira<\/strong><\/em>, considero que o n\u00edvel da prova foi bem tranquilo e creio que meus alunos tenham feito uma boa prova, pois tivemos a oportunidade de resolver em nosso curso diversas quest\u00f5es semelhantes \u00e0s cobradas na prova. Sinceramente, esperava um n\u00edvel de dificuldade maior na prova. Deixo aqui tamb\u00e9m o convite para que assistam ao Aul\u00e3o (Ao Vivo) que ser\u00e1 realizado hoje, a partir das 20h, aqui no site.<\/p>\n<p>Bom, ap\u00f3s analisar as quest\u00f5es, encontrei uma delas em que o gabarito est\u00e1 claramente equivocado. \u00c9 a quest\u00e3o 98. Vejamos:<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Recentemente, a empresa Fast Brick Robotics mostrou ao mundo um rob\u00f4, conhecido como Hadrian 105, capaz de construir casas em tempo recorde. Ele consegue trabalhar algo em torno de 20 vezes mais r\u00e1pido que um ser humano, sendo capaz de construir at\u00e9 150 casas por ano, segundo informa\u00e7\u00f5es da empresa que o fabrica. Internet: (com adapta\u00e7\u00f5es). Tendo como refer\u00eancia as informa\u00e7\u00f5es acima, julgue os itens a seguir.<\/strong><\/p>\n<p><strong>&nbsp;&#8230;<\/strong><\/p>\n<p><strong>98 (CESPE \/ Concurso TCU &#8211; 2015) Se um \u00fanico rob\u00f4 constr\u00f3i uma casa de 100 m<sup>2<\/sup> em dois dias, ent\u00e3o 4 rob\u00f4s ser\u00e3o capazes de construir 6 casas de 75 m<sup>2<\/sup> em menos de dois dias.<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Montando a tabelinha da regra de tr\u00eas composta, teremos o seguinte:<\/p>\n<p>&nbsp;<\/p>\n<p>N\u00ba de Rob\u00f4s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; N\u00ba de Casas&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \u00c1rea da Casa&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tempo<\/p>\n<p>1 rob\u00f4&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 1 casa&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 100 m<sup>2<\/sup> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2 dias<\/p>\n<p>4 rob\u00f4s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 6 casas&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 75 m<sup>2<\/sup> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \/&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; T dias<\/p>\n<p>&nbsp;<\/p>\n<p>Comparando a rela\u00e7\u00e3o entre o n\u00famero de rob\u00f4s e os demais itens da quest\u00e3o, percebemos uma rela\u00e7\u00e3o direta entre o n\u00famero de rob\u00f4s e o n\u00famero de casas constru\u00eddas. H\u00e1 tamb\u00e9m uma rela\u00e7\u00e3o direta entre o n\u00famero de rob\u00f4s e a \u00e1rea da casa constru\u00edda. Por\u00e9m, h\u00e1 uma rela\u00e7\u00e3o inversa entre o n\u00famero de rob\u00f4s e o tempo, pois quanto mais rob\u00f4s forem utilizados, menor ser\u00e1 o tempo necess\u00e1rio para construir uma mesma quantidade de casa\/\u00e1rea. Com isso, podemos montar a seguinte igualdade:<\/p>\n<p>&nbsp;<\/p>\n<p>1\/4 = 1\/6 x 100\/75 x T\/2<\/p>\n<p>6 x 75 x 2 = 4 x 100 x T<\/p>\n<p>900 = 400.T<\/p>\n<p>T = 900\/400<\/p>\n<p>T = 2,25 dias<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #0000ff;\">Portanto, s\u00e3o necess\u00e1rios mais de dois dias para 4 rob\u00f4s constru\u00edrem 6 casas de 75 m<sup>2<\/sup>.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>Nas demais quest\u00f5es n\u00e3o vislumbrei possibilidade de recurso.<\/p>\n<p>Um abra\u00e7o e boa sorte!<\/p>\n<p>Marcos Pi\u00f1on<\/p>\n<p>Cursos online: <a href=\"http:\/\/www.estrategiaconcursos.com.br\/cursosPorProfessor\/marcos-pinon-2100\/\">http:\/\/www.estrategiaconcursos.com.br\/cursosPorProfessor\/marcos-pinon-2100\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ol\u00e1 pessoal! No \u00faltimo domingo (16\/08) foi realizada a prova do Concurso TCU, para o cargo de Auditor Federal de Controle Externo &#8211; AUFC. Com rela\u00e7\u00e3o a Matem\u00e1tica Financeira, considero que o n\u00edvel da prova foi bem tranquilo e creio que meus alunos tenham feito uma boa prova, pois tivemos a oportunidade de resolver em [&hellip;]<\/p>\n","protected":false},"author":21,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[1],"tags":[598],"tax_estado":[],"class_list":["post-25797","post","type-post","status-publish","format-standard","hentry","category-cursos-e-concursos","tag-tcu"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Recurso - Matem\u00e1tica Financeira - Concurso TCU \/ 2015<\/title>\n<meta name=\"description\" content=\"Resolu\u00e7\u00e3o da quest\u00e3o 98 de Matem\u00e1tica Financeira do Concurso TCU. 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