{"id":689,"date":"2018-01-29T16:03:54","date_gmt":"2018-01-29T18:03:54","guid":{"rendered":"http:\/\/eliezerladeira.com.br\/blog\/?p=689"},"modified":"2018-08-31T15:38:37","modified_gmt":"2018-08-31T18:38:37","slug":"raciocinio-logico-11","status":"publish","type":"post","link":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-11\/","title":{"rendered":"Racioc\u00ednio L\u00f3gico #11"},"content":{"rendered":"

[ratings]<\/p>\n

(Fiscal Recife 2003 ESAF)<\/strong> Andr\u00e9 \u00e9 inocente ou Beto \u00e9 inocente. Se Beto \u00e9 inocente, ent\u00e3o Caio \u00e9 culpado. Caio \u00e9 inocente se e somente se D\u00eanis \u00e9 culpado. Ora, D\u00eanis \u00e9 culpado. Logo:<\/p>\n

a) Caio e Beto s\u00e3o inocentes
\nb) Andr\u00e9 e Caio s\u00e3o inocentes
\nc) Andr\u00e9 e Beto s\u00e3o inocentes
\nd) Caio e D\u00eanis s\u00e3o culpados
\ne) Andr\u00e9 e D\u00eanis s\u00e3o culpados<\/p>\n

Resolu\u00e7\u00e3o:<\/strong><\/p>\n

O enunciado da quest\u00e3o apresenta quatro afirma\u00e7\u00f5es:<\/p>\n

    \n
  1. Andr\u00e9 \u00e9 inocente ou<\/strong> Beto \u00e9 inocente.<\/li>\n
  2. Se<\/strong> Beto \u00e9 inocente, ent\u00e3o<\/strong> Caio \u00e9 culpado.<\/li>\n
  3. Caio \u00e9 inocente se e somente se<\/strong> D\u00eanis \u00e9 culpado.<\/li>\n
  4. D\u00eanis \u00e9 culpado.<\/li>\n<\/ol>\n

    Simplificando:<\/p>\n

    A<\/strong> = Andr\u00e9 \u00e9 inocente
    \nB<\/strong> = Beto \u00e9 inocente
    \nC<\/strong> = Caio \u00e9 inocente
    \nD<\/strong> = D\u00eanis \u00e9 culpado<\/p>\n

    Em linguagem simb\u00f3lica, ficaria:<\/p>\n

      \n
    1. A ou B<\/strong><\/li>\n
    2. B\u00a0<\/strong>\u2192\u00a0~C<\/strong><\/li>\n
    3. C\u00a0<\/strong>\u2194\u00a0D<\/strong><\/li>\n
    4. D<\/strong><\/li>\n<\/ol>\n

      1\u00ba PASSO:<\/strong> Consideraremos as afirma\u00e7\u00f5es como verdadeiras e, a partir do conhecimento das tabelas-verdade dos conectivos, vamos obter o valor l\u00f3gico das proposi\u00e7\u00f5es simples (A, B, C e D).<\/p>\n

      a) Come\u00e7aremos pela 4\u00aa afirma\u00e7\u00e3o, pois esta \u00e9 uma proposi\u00e7\u00e3o simples e, portanto, s\u00f3 tem uma forma de ser verdadeira.<\/p>\n

        \n
      1. A ou B<\/strong><\/li>\n
      2. B\u00a0<\/strong>\u2192\u00a0~C<\/strong><\/li>\n
      3. C\u00a0<\/strong>\u2194\u00a0D<\/strong><\/li>\n
      4. D =<\/strong>\u00a0D\u00a0<\/strong>\u00e9\u00a0V<\/strong><\/li>\n<\/ol>\n

        Resultado:\u00a0O valor l\u00f3gico de\u00a0D\u00a0<\/strong>\u00e9\u00a0V<\/strong>.<\/p>\n

        b) Substitua\u00a0D\u00a0<\/strong>por\u00a0V.<\/strong><\/p>\n

          \n
        1. A\u00a0ou B<\/strong><\/li>\n
        2. B\u00a0<\/strong>\u2192\u00a0~C<\/strong><\/li>\n
        3. C\u00a0<\/strong>\u2194\u00a0V =<\/strong>\u00a0para que a bicondicional seja verdade, \u00e9 necess\u00e1rio que\u00a0C\u00a0<\/strong>tenha valor l\u00f3gico\u00a0V<\/strong><\/li>\n
        4. V<\/strong><\/li>\n<\/ol>\n

          Resultado:\u00a0O valor l\u00f3gico de\u00a0C\u00a0<\/strong>\u00e9\u00a0V<\/strong>.<\/p>\n

          c) Substitua\u00a0C\u00a0<\/strong>por\u00a0V<\/strong>, e\u00a0~C\u00a0<\/strong>por\u00a0F<\/strong>.<\/p>\n

            \n
          1. A ou B<\/strong><\/li>\n
          2. B\u00a0<\/strong>\u2192\u00a0F\u00a0<\/strong>para que a condicional seja verdade \u00e9 necess\u00e1rio que\u00a0B\u00a0<\/strong>tenha valor l\u00f3gico\u00a0F<\/strong><\/li>\n
          3. V\u00a0<\/strong>\u2194\u00a0V<\/strong><\/li>\n
          4. V<\/strong><\/li>\n<\/ol>\n

            Resultado:\u00a0O valor l\u00f3gico de\u00a0B\u00a0<\/strong>\u00e9\u00a0F<\/strong>.<\/p>\n

            d)\u00a0Substitua\u00a0B\u00a0<\/strong>por\u00a0F<\/strong>.<\/p>\n

              \n
            1. A ou F =<\/strong>\u00a0para que a conjun\u00e7\u00e3o seja verdade,\u00a0A\u00a0<\/strong>deve ser\u00a0V<\/strong><\/li>\n
            2. F\u00a0<\/strong>\u2192\u00a0F<\/strong><\/li>\n
            3. V\u00a0<\/strong>\u2194\u00a0V<\/strong><\/li>\n
            4. V<\/strong><\/li>\n<\/ol>\n

              Resultado: O valor l\u00f3gico de\u00a0A\u00a0<\/strong>\u00e9\u00a0V<\/strong>.<\/p>\n

              Conclus\u00e3o:<\/p>\n

              A\u00a0<\/strong>\u00e9\u00a0V\u00a0<\/strong>, significa que \u00e9 verdade que: \u201cAndr\u00e9 \u00e9 inocente<\/strong>\u201d
              \nB\u00a0<\/strong>\u00e9\u00a0F\u00a0<\/strong>, significa que \u00e9 verdade que: \u201cBeto n\u00e3o \u00e9 inocente\u201d,\u00a0<\/strong>ou seja,\u00a0<\/strong>\u201cBeto \u00e9 culpado\u201d
              \n<\/strong>C\u00a0<\/strong>\u00e9\u00a0V\u00a0<\/strong>, significa que \u00e9 verdade que: \u201cCaio \u00e9 inocente<\/strong>\u201d
              \nD\u00a0<\/strong>\u00e9\u00a0V\u00a0<\/strong>, significa que \u00e9 verdade que: \u201cD\u00eanis \u00e9 culpado\u201d<\/strong><\/p>\n

              2\u00ba PASSO:\u00a0<\/strong>De posse das verdades obtidas no 1\u00b0 passo, verifique qual \u00e9 a alternativa que traz uma proposi\u00e7\u00e3o necessariamente verdadeira.<\/p>\n

              a) Caio e Beto s\u00e3o inocentes. =\u00a0falso
              \n<\/strong>b) Andr\u00e9 e Caio s\u00e3o inocentes =\u00a0verdade
              \n<\/strong>c) Andr\u00e9 e Beto s\u00e3o inocentes =\u00a0falso
              \n<\/strong>d) Caio e D\u00eanis s\u00e3o culpados =\u00a0falso
              \n<\/strong>e) Andr\u00e9 e D\u00eanis s\u00e3o culpados =\u00a0falso<\/strong><\/p>\n

              A \u00fanica alternativa que traz uma proposi\u00e7\u00e3o verdadeira \u00e9 a\u00a0\u201cB\u201d<\/strong><\/p>\n

              Gabarito:<\/strong> letra b<\/p>\n","protected":false},"excerpt":{"rendered":"

              [ratings] (Fiscal Recife 2003 ESAF) Andr\u00e9 \u00e9 inocente ou Beto \u00e9 inocente. Se Beto \u00e9 inocente, ent\u00e3o Caio \u00e9 culpado.<\/p>\n","protected":false},"author":1,"featured_media":610,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_layout":"default_layout","_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[139],"tags":[54,143,141,140,142],"class_list":["post-689","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-raciocinio-logico","tag-concurso","tag-enem","tag-logica","tag-raciocinio","tag-vestibular"],"aioseo_notices":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":644,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-2\/","url_meta":{"origin":689,"position":0},"title":"Racioc\u00ednio L\u00f3gico #2","author":"admin","date":"","format":false,"excerpt":"[ratings] H\u00e1 tr\u00eas suspeitos de um crime: o cozinheiro, a governanta e o mordomo. Sabe-se que o crime foi efetivamente cometido por um ou por mais de um deles, j\u00e1 que podem ter agido individualmente ou n\u00e3o. Sabe-se ainda que: A) se o cozinheiro \u00e9 inocente, ent\u00e3o a governanta \u00e9\u2026","rel":"","context":"Em "Racioc\u00ednio L\u00f3gico"","block_context":{"text":"Racioc\u00ednio L\u00f3gico","link":"https:\/\/eliezerladeira.com.br\/blog\/category\/disciplinas\/raciocinio-logico\/"},"img":{"alt_text":"Quest\u00f5es para concurso - Racioc\u00ednio L\u00f3gico","src":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":668,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-3\/","url_meta":{"origin":689,"position":1},"title":"Racioc\u00ednio L\u00f3gico #3","author":"admin","date":"","format":false,"excerpt":"[ratings] Um professor de l\u00f3gica encontra-se em viagem em um pa\u00eds distante, habitado pelos verdamanos e pelos mentimanos. O que os distingue \u00e9 que os verdamanos sempre dizem a verdade, enquanto os mentimanos sempre mente. Certo dia, o professor depara-se com um grupo de cinco habitantes locais. Chamemo-los de Alfa,\u2026","rel":"","context":"Em "Racioc\u00ednio L\u00f3gico"","block_context":{"text":"Racioc\u00ednio L\u00f3gico","link":"https:\/\/eliezerladeira.com.br\/blog\/category\/disciplinas\/raciocinio-logico\/"},"img":{"alt_text":"Quest\u00f5es para concurso - Racioc\u00ednio L\u00f3gico","src":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":711,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-18\/","url_meta":{"origin":689,"position":2},"title":"Racioc\u00ednio L\u00f3gico #18","author":"admin","date":"","format":false,"excerpt":"[ratings] A nega\u00e7\u00e3o de \"Se A \u00e9 par e B \u00e9 \u00edmpar, ent\u00e3o A + B \u00e9 \u00edmpar\" \u00e9: a) se A \u00e9 \u00edmpar e B \u00e9 par, ent\u00e3o A + B \u00e9 par. b) se A \u00e9 par e B \u00e9 \u00edmpar, ent\u00e3o A + B \u00e9 par. c)\u2026","rel":"","context":"Em "Racioc\u00ednio L\u00f3gico"","block_context":{"text":"Racioc\u00ednio L\u00f3gico","link":"https:\/\/eliezerladeira.com.br\/blog\/category\/disciplinas\/raciocinio-logico\/"},"img":{"alt_text":"Quest\u00f5es para concurso - Racioc\u00ednio L\u00f3gico","src":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":693,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-13\/","url_meta":{"origin":689,"position":3},"title":"Racioc\u00ednio L\u00f3gico #13","author":"admin","date":"","format":false,"excerpt":"[ratings] Marcos quer pesar tr\u00eas ma\u00e7\u00e3s numa balan\u00e7a de dois pratos, mas ele disp\u00f5e apenas de um bloco de 200 gramas. Observando o equil\u00edbrio na balan\u00e7a, ele percebe que a ma\u00e7\u00e3 maior tem o mesmo peso que as outras duas ma\u00e7\u00e3s; o bloco e a ma\u00e7\u00e3 menor pesam tanto quanto\u2026","rel":"","context":"Em "Racioc\u00ednio L\u00f3gico"","block_context":{"text":"Racioc\u00ednio L\u00f3gico","link":"https:\/\/eliezerladeira.com.br\/blog\/category\/disciplinas\/raciocinio-logico\/"},"img":{"alt_text":"Quest\u00f5es para concurso - Racioc\u00ednio L\u00f3gico","src":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":721,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-21\/","url_meta":{"origin":689,"position":4},"title":"Racioc\u00ednio L\u00f3gico #21","author":"admin","date":"","format":false,"excerpt":"[ratings] Dizer que \"Pedro n\u00e3o \u00e9 pedreiro ou Paulo \u00e9 paulista\" \u00e9, do ponto de vista l\u00f3gico, o mesmo que dizer que: a) se Pedro \u00e9 pedreiro, ent\u00e3o Paulo \u00e9 paulista b) se Paulo \u00e9 paulista, ent\u00e3o Pedro \u00e9 pedreiro c) se Pedro n\u00e3o \u00e9 pedreiro, ent\u00e3o Paulo \u00e9 paulista\u2026","rel":"","context":"Em "Racioc\u00ednio L\u00f3gico"","block_context":{"text":"Racioc\u00ednio L\u00f3gico","link":"https:\/\/eliezerladeira.com.br\/blog\/category\/disciplinas\/raciocinio-logico\/"},"img":{"alt_text":"Quest\u00f5es para concurso - Racioc\u00ednio L\u00f3gico","src":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/eliezerladeira.com.br\/blog\/wp-content\/uploads\/2017\/08\/raciocinio_logico.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":736,"url":"https:\/\/eliezerladeira.com.br\/blog\/raciocinio-logico-26\/","url_meta":{"origin":689,"position":5},"title":"Racioc\u00ednio L\u00f3gico #26","author":"admin","date":"","format":false,"excerpt":"[ratings] A nega\u00e7\u00e3o da senten\u00e7a \"Todas as mulheres s\u00e3o elegantes\" est\u00e1 na alternativa: a) Nenhuma mulher \u00e9 elegante. b) Todas as mulheres s\u00e3o deselegantes. c) Algumas mulheres s\u00e3o deselegantes. d) Nenhuma mulher \u00e9 deselegante. 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