{"id":73764,"date":"2017-05-14T20:33:37","date_gmt":"2017-05-14T23:33:37","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=73764"},"modified":"2018-09-21T16:50:33","modified_gmt":"2018-09-21T19:50:33","slug":"raciocinio-logico-terracap-prova-resolvida-e-gabarito-extraoficial","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/raciocinio-logico-terracap-prova-resolvida-e-gabarito-extraoficial\/","title":{"rendered":"Racioc\u00ednio L\u00f3gico TERRACAP &#8211; prova resolvida e gabarito extraoficial"},"content":{"rendered":"<p style=\"text-align: justify;\">Caros alunos,<\/p>\n<p style=\"text-align: justify;\">Vejam a seguir a resolu\u00e7\u00e3o das quest\u00f5es da prova de T\u00e9cnico Administrativo da TERRACAP, que ocorreu neste domingo. Trabalhamos todos os temas exaustivamente em nosso curso, portanto espero que meus alunos tenham ido muito bem! Qualquer coisa me procurem :)<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Utilizei as imagens da prova que um aluno gentilmente me enviou, ok?<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\"><strong>QUADRIX &#8211; TERRACAP &#8211; 2017)<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-73775\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203549\/terracap9.png\" alt=\"\" width=\"808\" height=\"681\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203549\/terracap9.png 808w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203549\/terracap9.png 300w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203549\/terracap9.png 768w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203549\/terracap9.png 610w\" sizes=\"auto, (max-width: 808px) 100vw, 808px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Se uma pessoa nos diz que TODOS ir\u00e3o compor, para desmentir n\u00f3s s\u00f3 precisamos mostrar que existe ALGU\u00c9M que N\u00c3O VAI compor&#8230; Isto \u00e9, a nega\u00e7\u00e3o da proposi\u00e7\u00e3o do enunciado seria algo como:<\/p>\n<p style=\"text-align: justify;\">&#8220;ALGUM dos aprovados como pessoa com defici\u00eancia N\u00c3O IR\u00c1 compor o cadastro de reserva&#8221;<\/p>\n<p style=\"text-align: justify;\">Temos isso na alternativa D.<\/p>\n<p style=\"text-align: justify;\"><b>Resposta: D<\/b><\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\"><strong>QUADRIX &#8211; TERRACAP &#8211; 2017)<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-73776\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203641\/terracap10.png\" alt=\"\" width=\"485\" height=\"626\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203641\/terracap10.png 485w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203641\/terracap10.png 232w\" sizes=\"auto, (max-width: 485px) 100vw, 485px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Suponha que Henrique e Jorge fiscalizam, respectivamente, H obras e J obras. Considerando a frase dita por Henrique, ele dar\u00e1 6 obras para Jorge. Com isso, Henrique fica com H &#8211; 6 e Jorge fica com J + 6 obras. Em seguida Jorge dar\u00e1 1 obra para Henrique, de modo que Henrique ficar\u00e1 com H &#8211; 5 obras e Jorge ficar\u00e1 com J + 5 obras. Deste modo, Jorge ficar\u00e1 com o dobro de Henrique, ou seja,<\/p>\n<p style=\"text-align: justify;\">J + 5 = 2.(H &#8211; 5)<\/p>\n<p style=\"text-align: justify;\">J + 5 = 2H &#8211; 10<\/p>\n<p style=\"text-align: justify;\">J = 2H &#8211; 15<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Considerando o que Jorge disse, ele dar\u00e1 7 obras para Henrique, ficando com J &#8211; 7 e deixando Henrique com H + 7 obras. Depois Henrique dar\u00e1 uma obra para Jorge, ficando Jorge com J &#8211; 6 e Henrique com H + 6 obras. Neste cen\u00e1rio, Henrique tem o dobro de Jorge:<\/p>\n<p style=\"text-align: justify;\">H + 6 = 2.(J &#8211; 6)<\/p>\n<p style=\"text-align: justify;\">H + 6 = 2J &#8211; 12<\/p>\n<p style=\"text-align: justify;\">H = 2J &#8211; 18<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Nesta \u00faltima equa\u00e7\u00e3o n\u00f3s podemos substituir J por 2H &#8211; 15, como obtido anteriormente, ficando com:<\/p>\n<p style=\"text-align: justify;\">H = 2.(2H &#8211; 15) &#8211; 18<\/p>\n<p style=\"text-align: justify;\">H = 4H &#8211; 30 &#8211; 18<\/p>\n<p style=\"text-align: justify;\">30 + 18 = 4H &#8211; H<\/p>\n<p style=\"text-align: justify;\">48 = 3H<\/p>\n<p style=\"text-align: justify;\">H = 16 obras<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Logo,<\/p>\n<p style=\"text-align: justify;\">J = 2H &#8211; 15 = 2.16 &#8211; 15 = 32 &#8211; 15 = 17 obras<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">A quantidade total de obras que os dois fiscalizam \u00e9 16 + 17 = 33, que est\u00e1 entre 30 e 35.<\/p>\n<p style=\"text-align: justify;\"><b>Resposta: D<\/b><\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\"><strong>QUADRIX &#8211; TERRACAP &#8211; 2017)<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-73777\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203645\/terracap11.png\" alt=\"\" width=\"553\" height=\"824\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203645\/terracap11.png 553w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203645\/terracap11.png 201w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">\u00a0Temos P processos e N t\u00e9cnicos, de modo que cada t\u00e9cnico normalmente analisa P\/N processos no m\u00eas. Em um m\u00eas com N &#8211; 5 t\u00e9cnicos (ou seja, 5 ausentes), cada t\u00e9cnico analisa P\/N + 20 processos. O total de processos (P) pode ser obtido multiplicando o n\u00famero de t\u00e9cnicos trabalhando (N &#8211; 5) pelo n\u00famero de processos que eles analisam (P\/N + 20), ou seja:<\/p>\n<p style=\"text-align: justify;\">P = (N &#8211; 5).(P\/N + 20)<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Com N + 4 t\u00e9cnicos (refor\u00e7o de quatro t\u00e9cnicos), cada um vai analisar P\/N &#8211; 10 processos. O total \u00e9 dado por:<\/p>\n<p style=\"text-align: justify;\">P = (N + 4) . (P\/N &#8211; 10)<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Desenvolvendo a primeira equa\u00e7\u00e3o, temos:<\/p>\n<p style=\"text-align: justify;\">P = N.P\/N + 20N &#8211; 5P\/N &#8211; 100<\/p>\n<p style=\"text-align: justify;\">P = P + 20N &#8211; 5P\/N &#8211; 100<\/p>\n<p style=\"text-align: justify;\">0 =\u00a020N &#8211; 5P\/N &#8211; 100<\/p>\n<p style=\"text-align: justify;\">100 &#8211; 20N = -5P\/N<\/p>\n<p style=\"text-align: justify;\">20 &#8211; 4N = -P\/N<\/p>\n<p style=\"text-align: justify;\">4N &#8211; 20 = P\/N<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Desenvolvendo a segunda equa\u00e7\u00e3o:<\/p>\n<p style=\"text-align: justify;\">P = N.P\/N &#8211; 10N + 4P\/N &#8211; 40<\/p>\n<p style=\"text-align: justify;\">P = P &#8211; 10N + 4P\/N &#8211; 40<\/p>\n<p style=\"text-align: justify;\">0 = -10N + 4P\/N &#8211; 40<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Nesta \u00faltima express\u00e3o podemos substituir P\/N por 4N &#8211; 20, como j\u00e1 descobrimos anteriormente, ficando com:<\/p>\n<p style=\"text-align: justify;\">0 = -10N + 4.(4N &#8211; 20) &#8211; 40<\/p>\n<p style=\"text-align: justify;\">0 = -10N + 16N &#8211; 80 &#8211; 40<\/p>\n<p style=\"text-align: justify;\">120 = 6N<\/p>\n<p style=\"text-align: justify;\">N = 20 t\u00e9cnicos<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Lembrando que P\/N = 4N &#8211; 20, temos:<\/p>\n<p style=\"text-align: justify;\">P\/20 = 4.20 &#8211; 20<\/p>\n<p style=\"text-align: justify;\">P\/20 = 60<\/p>\n<p style=\"text-align: justify;\">P = 20.60<\/p>\n<p style=\"text-align: justify;\">P = 1200 processos<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">O n\u00famero normal de processos por t\u00e9cnico \u00e9:<\/p>\n<p style=\"text-align: justify;\">P\/N = 1200 \/ 20 = 60<\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">Este n\u00famero est\u00e1 entre 55 e 65.<\/p>\n<p style=\"text-align: justify;\"><b>Resposta: B<\/b><\/p>\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\"><strong>QUADRIX &#8211; TERRACAP &#8211; 2017)<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-73778\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203648\/terracap12.png\" alt=\"\" width=\"564\" height=\"423\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203648\/terracap12.png 564w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/05\/14203648\/terracap12.png 300w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Vamos analisar cada alternativa de resposta:<\/p>\n<p style=\"text-align: justify;\">a) neste caso P \u00e9 V (pois 4 \u00e9 par) e Q \u00e9 V tamb\u00e9m (pois o resultado da express\u00e3o \u00e9 17, que \u00e9 um n\u00famero primo). Ficamos com V&#8211;&gt;V, que \u00e9 uma condicional verdadeira.<\/p>\n<p style=\"text-align: justify;\">b) neste caso P \u00e9 F (pois 2 \u00e9 par) e Q \u00e9 F (pois 2 ao quadrado \u00e9 4). Temos F&#8211;&gt;F, condicional verdadeira.<\/p>\n<p style=\"text-align: justify;\">c) aqui P \u00e9 F (pois 7&#215;7 \u00e9 49, que n\u00e3o \u00e9 primo) e Q \u00e9 V (pois 7 \u00e9 primo). Temos F&#8211;&gt;V, condicional verdadeira.<\/p>\n<p style=\"text-align: justify;\">d) aqui P \u00e9 F (pois 3 n\u00e3o \u00e9 divisor de 8) e Q \u00e9 F (pois 8 n\u00e3o \u00e9 divisor de 15). Temos F&#8211;&gt;F, condicional verdadeira.<\/p>\n<p style=\"text-align: justify;\">e) neste caso P \u00e9 V (pois a raiz de 25 \u00e9 5) e Q \u00e9 F (pois 5 n\u00e3o \u00e9 maior que 7). Temos V&#8211;&gt;F, \u00fanico caso onde a condicional \u00e9 FALSA.<\/p>\n<p style=\"text-align: justify;\"><b>Resposta: E<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Caros alunos, Vejam a seguir a resolu\u00e7\u00e3o das quest\u00f5es da prova de T\u00e9cnico Administrativo da TERRACAP, que ocorreu neste domingo. Trabalhamos todos os temas exaustivamente em nosso curso, portanto espero que meus alunos tenham ido muito bem! Qualquer coisa me procurem :) Utilizei as imagens da prova que um aluno gentilmente me enviou, ok? QUADRIX [&hellip;]<\/p>\n","protected":false},"author":48,"featured_media":43262,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[],"tags":[487,2358],"tax_estado":[],"class_list":["post-73764","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","tag-raciocinio-logico","tag-terracap"],"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>Racioc\u00ednio L\u00f3gico TERRACAP - prova resolvida e gabarito extraoficial<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/raciocinio-logico-terracap-prova-resolvida-e-gabarito-extraoficial\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Racioc\u00ednio L\u00f3gico TERRACAP - prova resolvida e gabarito extraoficial\" \/>\n<meta property=\"og:description\" content=\"Caros alunos, Vejam a seguir a resolu\u00e7\u00e3o das quest\u00f5es da prova de T\u00e9cnico Administrativo da TERRACAP, que ocorreu neste domingo. Trabalhamos todos os temas exaustivamente em nosso curso, portanto espero que meus alunos tenham ido muito bem! Qualquer coisa me procurem :) Utilizei as imagens da prova que um aluno gentilmente me enviou, ok? 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