Questões: Universidade Federal do Tocantins (UFT) — com gabarito

Leia o fragmento do início da parte II de O tronco, do goiano Bernardo Élis, para responder a QUESTÃO.

(...) O sertão é triste e feio em julho, as queimadas borrando o céu de fumaça, a vegetação já amarelecida, crestada pelo sol e pelo fogo, as árvores despidas de suas folhas pelo rigor da seca. Pelos ermos e descampados o vento galopa seu febrento bafo de morte, arrastando folhas secas, levantando a poeira fina, erguendo-a nos espaços em funis de redemunhos. (...)

Fonte: ÉLIS, Bernardo. O tronco. Rio de Janeiro: José Olympio, 2008, p. 61.

De acordo com o fragmento de O tronco, é CORRETO afirmar que o autor apresenta

Leia o fragmento de Quarto de despejo, de Carolina Maria de Jesus, e observe a imagem para responder a QUESTÃO.

...As oito e meia da noite eu já estava na favela respirando o odor dos excrementos que mescla com o barro podre. Quando estou na cidade tenho a impressão que estou na sala de visita com seus lustres de cristais, seus tapetes de viludos, almofadas de sitim. E quando estou na favela tenho a impressão que sou um objeto fora de uso, digno de estar num quarto de despejo.

(...)

Fonte: JESUS, Carolina Maria de. Quarto de despejo: diário de uma favelada. São Paulo, Ática, 2000, p. 33.

Em relação ao fragmento do romance de Carolina Maria de Jesus e à imagem, é CORRETO afirmar que ambos:

Leia os três poemas da obra As tocantinas, de Célio Pedreira, para responder a QUESTÃO.

Melhor trilha de morrência

nessa beira do rio

é estar-se rede

de quieto balançar.

Os calangos no quintal

a rala sombra do pé de mamona

imóveis a pulsar a terra.

A vida esconde

numa pausa morna

breve e boa.

Silêncio melhor para o nada

feito querer ausente

e a cidade dizendo um solapino.

Um olhar

fica na margem do rio.

Outro olhar vai

alcançar a possibilidade

de semear estrelas

acordar horizontes.

Antes da gente

era a curva do rio

cuidando as lonjuras.

E a gente

simples andorinhas

passíveis de azul

na tarde veloz.

Bulindo em correntezas

como fosse hábeis sem rumo

ou esquecidos dele.

Ainda dissipa o dia

e seu aroma desenterra-me

em conta-gotas

nas inumeráveis utopias

que descuidei nosso rio.

Fonte: PEDREIRA, Célio. As tocantinas. Palmas, TO: Universidade Federal do Tocantins/EDUFT, 2014.

A partir da leitura dos três poemas, analise as alternativas e assinale a opção INCORRETA. 

Leia o fragmento do conto “Laços de família”, de Clarice Lispector, para responder a QUESTÃO.

A mulher e a mãe acomodaram-se finalmente no táxi que as levaria à Estação. A mãe contava e recontava as duas malas tentando convencer-se de que ambas estavam no carro. A filha, com seus olhos escuros, a que um ligeiro estrabismo dava um contínuo brilho de zombaria e frieza – assistia.

– Não esqueci de nada? perguntava pela terceira vez a mãe.

– Não, não, não esqueceu de nada, respondia a filha divertida, com paciência. (...)

O trem não partia e ambas esperavam sem ter o que dizer. A mãe tirou o espelho da bolsa e examinou-se no seu chapéu novo, comprado no mesmo chapeleiro da filha. (...) Que coisa tinham esquecido de dizer uma a outra? e agora era tarde demais. Parecia-lhe que deveriam um dia ter dito assim: sou tua mãe, Catarina. E ela deveria ter respondido: e eu sou tua filha.

– Não vá pegar corrente de ar! gritou Catarina.

– Ora menina, sou lá criança, disse a mãe sem deixar porém de se preocupar com a própria aparência. A mão sardenta, um pouco trêmula, arranjava com delicadeza a aba do chapéu (...).

Fonte: LISPECTOR, Clarice. Laços de família. Rio de Janeiro: Rocco, 1998, p. 94-98.

A partir da leitura do fragmento do texto, assinale a alternativa CORRETA em que há um olhar empático da filha sobre a mãe.

    "Click to pray" are not words you'd expect to come out of the pope's mouth.

    But that's what onlookers heard during the traditional Sunday address from Pope Francis, as he introduced ClickToPray, an app for communal prayer aimed at young people.

   "The Internet and social media are a resource of our time," the pope said. From a balcony overlooking St. Peter's Square, Francis then gestured to a tablet. Father Frédéric Fornos, international director of the pope's Worldwide Prayer Network, held up the device for the crowd to see.

    "Here," Francis said, "I'll insert the intentions and the prayer requests for the mission of the Church." He tapped the screen several times before glancing up at Fornos.

    "Did I do it?" he asked.

    The pope has made earnest efforts to embrace technology, tweeting frequently and calling the Web "a gift from God." Now he's given his followers a convenient way to turn on their smart devices and see what the leader of the Catholic Church is praying for at any given time.

    "Pray every day," reads the app when it opens. "Pray together with others. Give to the community."

      More than 18,000 people have clicked on the pope's prayer intention for January. The prayer, "Young People and the Example of Mary," focuses on young Catholics, especially in Latin America.         But the app is more democratic than the pope's Sunday address, with a timeline of prayers from other users that you can scroll through, similar to a social media feed. People write prayers for weddings, celebrations, illnesses and more, and others can click to pray with them or leave a comment.

       A prayer in English asks for employment "where I can make a difference," while another in Italian seeks an end to international borders. Prayers in Spanish, French, Portuguese and German have also been posted to the app, ranging from precise requests to generic expressions of love and fraternity.

       In his address, Pope Francis specifically called on young people to download the app. The pope has long sought to make the Church relevant for younger generations, as the proportion of Catholics declines across the world. […]

Available at: https://www.npr.org/2019/01/20/687001314/pray-with-the-pope-fromyour-iphone 

    "Click to pray" are not words you'd expect to come out of the pope's mouth.

    But that's what onlookers heard during the traditional Sunday address from Pope Francis, as he introduced ClickToPray, an app for communal prayer aimed at young people.

   "The Internet and social media are a resource of our time," the pope said. From a balcony overlooking St. Peter's Square, Francis then gestured to a tablet. Father Frédéric Fornos, international director of the pope's Worldwide Prayer Network, held up the device for the crowd to see.

    "Here," Francis said, "I'll insert the intentions and the prayer requests for the mission of the Church." He tapped the screen several times before glancing up at Fornos.

    "Did I do it?" he asked.

    The pope has made earnest efforts to embrace technology, tweeting frequently and calling the Web "a gift from God." Now he's given his followers a convenient way to turn on their smart devices and see what the leader of the Catholic Church is praying for at any given time.

    "Pray every day," reads the app when it opens. "Pray together with others. Give to the community."

      More than 18,000 people have clicked on the pope's prayer intention for January. The prayer, "Young People and the Example of Mary," focuses on young Catholics, especially in Latin America.         But the app is more democratic than the pope's Sunday address, with a timeline of prayers from other users that you can scroll through, similar to a social media feed. People write prayers for weddings, celebrations, illnesses and more, and others can click to pray with them or leave a comment.

       A prayer in English asks for employment "where I can make a difference," while another in Italian seeks an end to international borders. Prayers in Spanish, French, Portuguese and German have also been posted to the app, ranging from precise requests to generic expressions of love and fraternity.

       In his address, Pope Francis specifically called on young people to download the app. The pope has long sought to make the Church relevant for younger generations, as the proportion of Catholics declines across the world. […]

Available at: https://www.npr.org/2019/01/20/687001314/pray-with-the-pope-fromyour-iphone 

Referring to the text, the word address in the sentence: “…traditional Sunday address from Pope Francis”, 2nd paragraph, is related to all the following alternatives, EXCEPT:

    "Click to pray" are not words you'd expect to come out of the pope's mouth.

    But that's what onlookers heard during the traditional Sunday address from Pope Francis, as he introduced ClickToPray, an app for communal prayer aimed at young people.

   "The Internet and social media are a resource of our time," the pope said. From a balcony overlooking St. Peter's Square, Francis then gestured to a tablet. Father Frédéric Fornos, international director of the pope's Worldwide Prayer Network, held up the device for the crowd to see.

    "Here," Francis said, "I'll insert the intentions and the prayer requests for the mission of the Church." He tapped the screen several times before glancing up at Fornos.

    "Did I do it?" he asked.

    The pope has made earnest efforts to embrace technology, tweeting frequently and calling the Web "a gift from God." Now he's given his followers a convenient way to turn on their smart devices and see what the leader of the Catholic Church is praying for at any given time.

    "Pray every day," reads the app when it opens. "Pray together with others. Give to the community."

      More than 18,000 people have clicked on the pope's prayer intention for January. The prayer, "Young People and the Example of Mary," focuses on young Catholics, especially in Latin America.         But the app is more democratic than the pope's Sunday address, with a timeline of prayers from other users that you can scroll through, similar to a social media feed. People write prayers for weddings, celebrations, illnesses and more, and others can click to pray with them or leave a comment.

       A prayer in English asks for employment "where I can make a difference," while another in Italian seeks an end to international borders. Prayers in Spanish, French, Portuguese and German have also been posted to the app, ranging from precise requests to generic expressions of love and fraternity.

       In his address, Pope Francis specifically called on young people to download the app. The pope has long sought to make the Church relevant for younger generations, as the proportion of Catholics declines across the world. […]

Available at: https://www.npr.org/2019/01/20/687001314/pray-with-the-pope-fromyour-iphone 

     More than 100,000 Brazilians live downhill from mining dams built like the one in Brumadinho that collapsed last month, our estimates found.

   Brazil counts 87 mining dams built using the same method, known as upstream tailings construction, as the one that collapsed. That design is risky if not monitored carefully, and experts have warned that a collapse could happen again in a country where neither the mining industry nor regulators have the situation under control.

     We looked at each of the 87 upstream dams to estimate if it could threaten populated areas, using geospatial analysis to estimate where the mud could flow if each of the dams failed. For at least 27 of those dams, more than 1,000 people live in high-risk areas. That means they are downhill from the dam and within eight kilometers — the distance the mud flowed after the Brumadinho collapse.

     All of those dams were rated by the government at the same risk level, or worse, as the dam that failed in Brumadinho.

     “I wouldn’t buy a home downstream of a tailings dam built in an upstream fashion,” said William F. Marcuson III, a former president of the American Society of Civil Engineers. “And I wouldn’t allow my mother to rent or live in a home downstream of a tailings dam built in an upstream fashion.”               

      Minas Gerais, a state whose name means “general mines”, has been the hub of Brazil’s mining industry for centuries. Today, it still produces 53 percent of the country’s mining output.

Available at: https://www.nytimes.com/interactive/2019/02/14/world/americas/brumadinho-brazildam-collapse.html?smid=pl-share

     More than 100,000 Brazilians live downhill from mining dams built like the one in Brumadinho that collapsed last month, our estimates found.

   Brazil counts 87 mining dams built using the same method, known as upstream tailings construction, as the one that collapsed. That design is risky if not monitored carefully, and experts have warned that a collapse could happen again in a country where neither the mining industry nor regulators have the situation under control.

     We looked at each of the 87 upstream dams to estimate if it could threaten populated areas, using geospatial analysis to estimate where the mud could flow if each of the dams failed. For at least 27 of those dams, more than 1,000 people live in high-risk areas. That means they are downhill from the dam and within eight kilometers — the distance the mud flowed after the Brumadinho collapse.

     All of those dams were rated by the government at the same risk level, or worse, as the dam that failed in Brumadinho.

     “I wouldn’t buy a home downstream of a tailings dam built in an upstream fashion,” said William F. Marcuson III, a former president of the American Society of Civil Engineers. “And I wouldn’t allow my mother to rent or live in a home downstream of a tailings dam built in an upstream fashion.”               

      Minas Gerais, a state whose name means “general mines”, has been the hub of Brazil’s mining industry for centuries. Today, it still produces 53 percent of the country’s mining output.

Available at: https://www.nytimes.com/interactive/2019/02/14/world/americas/brumadinho-brazildam-collapse.html?smid=pl-share

     More than 100,000 Brazilians live downhill from mining dams built like the one in Brumadinho that collapsed last month, our estimates found.

   Brazil counts 87 mining dams built using the same method, known as upstream tailings construction, as the one that collapsed. That design is risky if not monitored carefully, and experts have warned that a collapse could happen again in a country where neither the mining industry nor regulators have the situation under control.

     We looked at each of the 87 upstream dams to estimate if it could threaten populated areas, using geospatial analysis to estimate where the mud could flow if each of the dams failed. For at least 27 of those dams, more than 1,000 people live in high-risk areas. That means they are downhill from the dam and within eight kilometers — the distance the mud flowed after the Brumadinho collapse.

     All of those dams were rated by the government at the same risk level, or worse, as the dam that failed in Brumadinho.

     “I wouldn’t buy a home downstream of a tailings dam built in an upstream fashion,” said William F. Marcuson III, a former president of the American Society of Civil Engineers. “And I wouldn’t allow my mother to rent or live in a home downstream of a tailings dam built in an upstream fashion.”               

      Minas Gerais, a state whose name means “general mines”, has been the hub of Brazil’s mining industry for centuries. Today, it still produces 53 percent of the country’s mining output.

Available at: https://www.nytimes.com/interactive/2019/02/14/world/americas/brumadinho-brazildam-collapse.html?smid=pl-share

In agreement with the text, the word output in the sentence: “Today, it still produces 53 percent of the country’s mining output”, last paragraph, infers the idea of:

Sobre o plano cartesiano a seguir, encontra-se a logomarca de uma empresa do Tocantins dada pela figura hachurada. Considerando-se que a unidade dos eixos é dada em centímetros, qual é a área total da logomarca?

A Torre de Hanoi é um jogo pedagógico muito utilizado na educação. O jogo é composto por 3 pinos (hastes) na posição vertical e discos de tamanhos diferentes. Os discos são colocados em uma mesma haste em ordem crescente de diâmetro, do menor para o maior, de cima pra baixo, como pode ser observado na imagem a seguir:

O objetivo de cada partida consiste em deslocar todos os discos da haste onde se encontram para uma haste diferente, com a ajuda da terceira haste, de modo que no momento da transferência um disco de maior diâmetro nunca fique sobre um de menor diâmetro. As regras do jogo são: deslocar um disco de cada vez, o qual deverá ser o do topo de uma das três hastes; um disco deve estar sempre em uma das três hastes ou em movimento; cada disco nunca poderá ser colocado sobre outro de diâmetro menor.

No quadro a seguir, temos o número mínimo de movimentos necessários para o fim de uma partida, em relação ao número de discos.

Com base nas informações anteriores, é CORRETO afirmar que o número mínimo de movimentos para uma partida com 8 discos é:

Segundo estatísticas do Departamento Nacional de Trânsito - DENATRAN, em janeiro de 2019, havia 101.050.113 veículos emplacados no Brasil. Considere que as placas sejam formadas da maneira usual: três letras quaisquer do alfabeto da Língua Portuguesa (incluindo as letras K, Y e W) seguidas por quatro algarismos quaisquer de 0 a 9, e que não existam restrições na escolha das letras e algarismos. Quando o DENATRAN divulgou a estatística acima, quantos veículos ainda poderiam ser emplacados conforme o sistema utilizado?

Uma secretária acadêmica tem a função de digitar documentos. Em média, com 6 horas de trabalho, ela consegue digitar 18 folhas de 50 linhas por página. Se ela mudar o regime de trabalho para 8 horas por dia e mantiver o mesmo ritmo de trabalho, quantas folhas ela conseguirá digitar, considerando-se cada página com 40 linhas?

Na lanchonete “Cerrado Sempre” vende-se somente sucos de frutas do cerrado. Após uma análise sobre os sabores mais procurados, chegou-se à seguinte conclusão: 37% preferem suco de cajá, 28% preferem suco de cagaita, 15% preferem suco de murici, e o restante dos clientes, que são 120, preferem de outros sabores.

Com base nos dados anteriores, quantos clientes foram analisados?