{"id":81903,"date":"2017-07-18T10:10:48","date_gmt":"2017-07-18T13:10:48","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=81903"},"modified":"2022-10-11T10:25:53","modified_gmt":"2022-10-11T13:25:53","slug":"matematica-ibge-prova-resolvida-e-gabarito-extraoficial-recenseador","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/matematica-ibge-prova-resolvida-e-gabarito-extraoficial-recenseador\/","title":{"rendered":"Matem\u00e1tica IBGE &#8211; prova resolvida (recenseador)"},"content":{"rendered":"<p style=\"text-align: justify;\">Caros alunos,<\/p>\n<p style=\"text-align: justify;\">Vejam a seguir a minha resolu\u00e7\u00e3o das quest\u00f5es da prova de Recenseador do IBGE, realizada no \u00faltimo domingo.<\/p>\n<p style=\"text-align: center;\">Caso voc\u00ea queira ver o enunciado completo das quest\u00f5es, baixe as imagens a seguir:<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/07\/18100731\/16-a-19.jpg\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline; color: #0000ff;\"><strong>QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 1<\/strong><\/span><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/07\/18100733\/20-a-22.jpg\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline; color: #0000ff;\"><strong>QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 2<\/strong><\/span><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/07\/18100735\/23-a-24.jpg\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline; color: #0000ff;\"><strong>QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 3<\/strong><\/span><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/07\/18100736\/25-a-28.jpg\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline; color: #0000ff;\"><strong>QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 4<\/strong><\/span><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2017\/07\/18100738\/29-a-30.jpg\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline; color: #0000ff;\"><strong>QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 5<\/strong><\/span><\/a><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Moacir entrevistou os&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">O total de funcion\u00e1rios admitidos a cada ano \u00e9 de 12, 16, 20, 24 e 8, totalizando 80. Destes, os admitidos ap\u00f3s 2014 s\u00e3o 24+8 = 32. Percentualmente, eles representam:<\/p>\n<p style=\"text-align: justify;\">P = 32\/80 = 4\/10 = 40%<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: D<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Manoel cria coelhos&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">S\u00e3o 120 coelhos. Como 63 s\u00e3o f\u00eameas, ent\u00e3o os machos s\u00e3o 120-63 = 57 machos. Destes machos, 32 s\u00e3o brancos, de modo que os machos marrons s\u00e3o 57 &#8211; 32 = 25.<\/p>\n<p style=\"text-align: justify;\">Como o total de coelhos marrons \u00e9 de 50, as f\u00eameas marrons s\u00e3o 50-25 = 25.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: A<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Em certo concurso&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Os homens s\u00e3o a ter\u00e7a parte de 192, ou seja, 192\/3 = 64 homens. Destes, apenas 1\/4 passou, ou seja, 64\/4 = 16 homens foram aprovados.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: C<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Fernando teve tr\u00eas filhos&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Como os filhos nasceram em anos seguidos, o mais novo tem N anos, os demais tem N+1 e N+2 anos de idade. Sabemos que a idade de Fernando (39) \u00e9 igual \u00e0 soma das idades dos filhos, ou seja,<\/p>\n<p style=\"text-align: justify;\">39 = N + N+1 + N+2<\/p>\n<p style=\"text-align: justify;\">39 = 3N + 3<\/p>\n<p style=\"text-align: justify;\">3N = 39 &#8211; 3<\/p>\n<p style=\"text-align: justify;\">3N = 36<\/p>\n<p style=\"text-align: justify;\">N = 12<\/p>\n<p style=\"text-align: justify;\">O filho mais velho tem N+2 = 12+2= 14 anos.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: C<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Cinco resmas de papel&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Podemos montar a propor\u00e7\u00e3o:<\/p>\n<p style=\"text-align: justify;\">5 resmas &#8212;&#8212;&#8212; 90 reais<\/p>\n<p style=\"text-align: justify;\">18 resmas &#8212;&#8212;- P reais<\/p>\n<p style=\"text-align: justify;\">5.P = 90.18<\/p>\n<p style=\"text-align: justify;\">P = 90.18\/5 = 18.18 = 324 reais<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: E<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0O gr\u00e1fico a seguir mostra&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Analisando o gr\u00e1fico, vemos que a afirma\u00e7\u00e3o I est\u00e1 correta. A taxa de analfabetismo cruza a linha horizontal de 60% por volta de 1940, de modo que em 1950 ela j\u00e1 est\u00e1 claramente abaixo disto.<\/p>\n<p style=\"text-align: justify;\">Vemos tamb\u00e9m que a informa\u00e7\u00e3o II \u00e9 correta, pois em 1960 estamos pouco acima de 40%, e em 1980 estamos j\u00e1 abaixo de 30%. \u00a0Assim, \u00e9 correto dizer que as taxas entre 30 e 40% ocorreram neste per\u00edodo compreendido entre 1960 e 1980.<\/p>\n<p style=\"text-align: justify;\">A afirma\u00e7\u00e3o III tamb\u00e9m \u00e9 correta, pois a proje\u00e7\u00e3o para 2020 \u00e9 de 10% de analfabetismo, que \u00e9 metade dos 20% registrados em 1990.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: E<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0A tabela a seguir mostra&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">A m\u00e9dia \u00e9 calculada assim:<\/p>\n<p>M\u00e9dia = Soma \/ quantidade<\/p>\n<p>M\u00e9dia = (35+28+41+26+30)\/5 = 160\/5 = 32<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: D<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Carlos viajou com seu carro&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">De Recife at\u00e9 o almo\u00e7o foram 3h45min. Com a parada de 35 min., chegamos a 4h20min de viagem. Como o tempo total foi de 7h30min., vemos que o segundo percurso teve 3h10min de dura\u00e7\u00e3o.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: D<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Dalva gostaria de ter&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Com o desconto de 20%, o pre\u00e7o cai para:<\/p>\n<p>P = 620 x (1 &#8211; 20%) = 620 x 0,80 = 62 x 8 = 496 reais<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: B<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Jo\u00e3o recebeu 32 relat\u00f3rios&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Precisamos encontrar um n\u00famero que permita dividir tanto os 32 verdes como os 40 vermelhos, sem deixar resto. Ou seja, estamos buscando um divisor comum entre 32 e 40. E precisamos do MAIOR divisor comum poss\u00edvel, pois a ideia \u00e9 ter o menor n\u00famero poss\u00edvel de envelopes.<\/p>\n<p>Calculando o MDC entre 32 e 40, obtemos o valor 8. Assim, teremos 32\/8 = 4 envelopes contendo relat\u00f3rios verdes e 40\/8 = 5 envelopes contendo relat\u00f3rios vermelhos, totalizando 4+5 = 9 envelopes.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: B<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0A quantia de 900 mil&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Como a divis\u00e3o \u00e9 proporcional a 4, 5 e 6, podemos usar a constante de proporcionalidade K e chamar cada uma das partes de 4K, 5K e 6K, respectivamente. A soma \u00e9 igual a 900 mil, ou seja,<\/p>\n<p>4K + 5K + 6K = 900<\/p>\n<p>15K = 900<\/p>\n<p>K = 900 \/ 15<\/p>\n<p>K = 60<\/p>\n<p>Logo, a menor parte \u00e9 4K = 4.60 = 240 mil reais.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: B<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0No edif\u00edcio sede&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Para a caixa 3 ficar com apenas 100 litros, \u00e9 preciso retirar 1200 &#8211; 100 = 1100 litros dela.<\/p>\n<p>Chamando de V o volume transferido para a caixa 1, podemos chamar de 1100 &#8211; V o volume transferido para a caixa 2 (pois o total transferido \u00e9 de 1100 litros). Com isso, as duas caixas ficaram com mesmo volume, ou seja,<\/p>\n<p>Volume final da caixa 1 = Volume final da caixa 2<\/p>\n<p>V + 200 = (1100-V) + 500<\/p>\n<p>V + 200 = 1100 &#8211; V + 500<\/p>\n<p>V + V = 1100 + 500 &#8211; 200<\/p>\n<p>2V = 1400<\/p>\n<p>V = 700 litros<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: C<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Para o jantar comemorativo&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">O total de lugares \u00e9 de 18 x 6 = 108. Como compareceram 110 pessoas, \u00e9 correto dizer que 2 pessoas ficaram sem lugar para sentar. Temos esta informa\u00e7\u00e3o na alternativa E.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: E<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0Uma corda de 7 metros&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Dividindo 7,2 metros por 3, temos 2,4 metros, ou seja, 2 metros e 40 cent\u00edmetros.<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: A<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>FGV &#8211; IBGE &#8211; 2017)<\/strong>\u00a0A figura abaixo mostra&#8230;<\/p>\n<p style=\"text-align: justify;\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n<p style=\"text-align: justify;\">Queremos o per\u00edmetro da figura formada. Come\u00e7ando pela parte superior (que mede 5) e caminhando no sentido hor\u00e1rio, temos os peda\u00e7os com as seguintes medidas:<\/p>\n<p>5 + 2 + 5 + 2 + 5 + 2 + 5 + (5-2) + (5-2) + 2 =<\/p>\n<p>34<\/p>\n<p style=\"text-align: justify;\"><strong>Resposta: D<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Caros alunos, Vejam a seguir a minha resolu\u00e7\u00e3o das quest\u00f5es da prova de Recenseador do IBGE, realizada no \u00faltimo domingo. Caso voc\u00ea queira ver o enunciado completo das quest\u00f5es, baixe as imagens a seguir: QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 1 QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 2 QUEST\u00d5ES DE MATEM\u00c1TICA &#8211; PARTE 3 QUEST\u00d5ES DE MATEM\u00c1TICA [&hellip;]<\/p>\n","protected":false},"author":741,"featured_media":43262,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[1],"tags":[],"tax_estado":[],"class_list":["post-81903","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cursos-e-concursos"],"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>Matem\u00e1tica IBGE - prova resolvida (recenseador)<\/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\/matematica-ibge-prova-resolvida-e-gabarito-extraoficial-recenseador\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Matem\u00e1tica IBGE - prova resolvida (recenseador)\" \/>\n<meta property=\"og:description\" content=\"Caros alunos, Vejam a seguir a minha resolu\u00e7\u00e3o das quest\u00f5es da prova de Recenseador do IBGE, realizada no \u00faltimo domingo. 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