[{"data":1,"prerenderedAt":149},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Foperadores-matematicos?{}":3,"topics-with-content:razonamiento-matematico":107},{"course":4,"topic":12,"counts":17,"universities":22,"channels":35,"sampleQuestions":65,"sameName":106},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},17,"razonamiento-matematico","Razonamiento Matemático","R. Mat.","reasoning","i-lucide-puzzle",16,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},1712,"operadores-matematicos","Operadores matemáticos",11,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},44,69,54,859,[23,32],{"universityId":24,"questions":25,"years":26},2,43,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":33,"years":34},1,[29],[36,39,42,44,47,50,53,56,59,61,63],{"name":37,"classes":38},"Academia Grupo Ciencias",14,{"name":40,"classes":41},"Academias Aduni y César Vallejo",12,{"name":43,"classes":16},"Alberto Cruz",{"name":45,"classes":46},"Academia ipluton",8,{"name":48,"classes":49},"Academia_Pitagoras",7,{"name":51,"classes":52},"META VILLARREAL",5,{"name":54,"classes":55},"Academia Internet",4,{"name":57,"classes":58},"Ciclo Uni-San Marcos",3,{"name":60,"classes":58},"Trilce Multimedia",{"name":62,"classes":33},"CEPRE UNMSM",{"name":64,"classes":33},"Saco Oliveros",[66,91],{"id":67,"courseId":5,"topicId":13,"pastExamId":68,"stem":69,"options":70,"correctKey":72,"explanation":86,"difficulty":58,"status":87,"source":88,"stats":89},1502,196,"Se define el siguiente operador:\n$y=\\boxed{x}=\\begin{cases}x+10\\ ;\\ y\u003C0\\\\ x-10\\ ;\\ y\\geq 0\\end{cases}$\nAdemás, se tiene $\\boxed{\\textcircled{x}}=10x-1$.\nDetermine $\\mathrlap{\\vcenter{\\Large\\bigcirc}}\\hspace{0.33em}16\\hspace{0.33em}+\\mathrlap{\\vcenter{\\LARGE\\bigcirc}}\\hspace{0.37em}{\\scriptstyle -16}\\hspace{0.37em}$",[71,74,77,80,83],{"key":72,"text":73},"A","$-2$",{"key":75,"text":76},"B","$-1$",{"key":78,"text":79},"C","0",{"key":81,"text":82},"D","1",{"key":84,"text":85},"E","2","","published","UNI 2026-1 · Aptitud Académica y Humanidades",{"attempts":90,"accuracy":90},0,{"id":92,"courseId":5,"topicId":13,"pastExamId":68,"stem":93,"options":94,"correctKey":72,"explanation":86,"difficulty":58,"status":87,"source":88,"stats":105},1510,"Se define el operador sobre $\\mathbb{Q}$ dado por\n$\\boxed{x-1}=4x+3$\nHalle la solución de la ecuación\n$\\boxed{4x}+\\boxed{2x}=\\boxed{12}$\nDé como respuesta la suma de las cifras de la fracción irreductible que la resuelve.",[95,97,99,101,103],{"key":72,"text":96},"11",{"key":75,"text":98},"12",{"key":78,"text":100},"14",{"key":81,"text":102},"15",{"key":84,"text":104},"19",{"attempts":90,"accuracy":90},[],[108,109,110,111,112,113,114,115,116,117,118,13,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501535410]