{"id":3629,"date":"2025-06-21T19:28:35","date_gmt":"2025-06-21T19:28:35","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3629"},"modified":"2025-06-28T07:15:11","modified_gmt":"2025-06-28T07:15:11","slug":"numeros-bicifridos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/06\/21\/numeros-bicifridos\/","title":{"rendered":"N\u00fameros bic\u00edfridos"},"content":{"rendered":"<pre>Problema 7 del concurso Marat\u00f3 de problemes 2025\nSe dirige a una edad de: 14-15 a\u00f1os<\/pre>\n\n\n<p>En este problema, llamaremos n\u00fameros bic\u00edfridos a aquellos n\u00fameros naturales que tienen la propiedad de que en su expresi\u00f3n en base 10 aparecen dos cifras diferentes, y no m\u00e1s de dos cifras diferentes.<\/p>\n\n\n\n<p>Por ejemplo, 47747, 221, o 56565556 son n\u00fameros bic\u00edfridos, respectivamente, de cinco, tres y ocho cifras, mientras que 666 y 45454456 no lo son.<\/p>\n\n\n\n<p>a) Razona qu\u00e9 n\u00fameros bic\u00edfridos de cuatro cifras pueden ser m\u00faltiplos de 11, y haz el recuento de cu\u00e1ntos diferentes hay.<\/p>\n\n\n\n<p>b) Razona qu\u00e9 n\u00famero bic\u00edfridos de cinco cifras pueden ser m\u00faltiplos de 11, y haz el recuento de cu\u00e1ntos diferentes hay.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2025\/06\/387.bicrifidos.png\" alt=\"\" class=\"wp-image-3630\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/06\/28\/solucion-a-numeros-bicifridos\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 7 del concurso Marat\u00f3 de problemes 2025 Se dirige a una edad de: 14-15 a\u00f1os En este problema, llamaremos n\u00fameros bic\u00edfridos a aquellos n\u00fameros naturales que tienen la propiedad de que en su expresi\u00f3n en base 10 aparecen dos cifras diferentes, y no m\u00e1s de dos cifras diferentes. Por ejemplo, 47747, 221, o 56565556 [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242030,2242026,1738,2849],"tags":[],"class_list":["post-3629","post","type-post","status-publish","format-standard","hentry","category-marato","category-marato-de-problemes","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3629","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3629"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3629\/revisions"}],"predecessor-version":[{"id":3634,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3629\/revisions\/3634"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}