[{"data":1,"prerenderedAt":115},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Foperaciones-binarias?{}":3,"topics-with-content:razonamiento-matematico":73},{"course":4,"topic":12,"counts":17,"universities":20,"channels":28,"sampleQuestions":29,"sameName":72},{"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},1741,"operaciones-binarias","Operaciones binarias",40,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":19,"minutes":19},7,0,[21],{"universityId":22,"questions":18,"years":23},2,[24,25,26,27],2025,2024,2023,2022,[],[30,55],{"id":31,"courseId":5,"topicId":13,"pastExamId":32,"stem":33,"options":34,"correctKey":45,"explanation":50,"difficulty":51,"status":52,"source":53,"stats":54},1141,190,"Dado el operador $\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}$ definido por:\n$$\\begin{array}{c|cccc} \\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em} & a & b & c & d \\\\ \\hline a & b & c & d & a \\\\ b & c & d & a & b \\\\ c & d & a & b & c \\\\ d & a & b & c & d \\end{array}$$\nLa expresión que corresponde a la operación del elemento neutro con el elemento inverso de $c$ es:",[35,38,41,44,47],{"key":36,"text":37},"A","$a\\;\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}\\;b$",{"key":39,"text":40},"B","$b\\;\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}\\;c$",{"key":42,"text":43},"C","$c\\;\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}\\;d$",{"key":45,"text":46},"D","$d\\;\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}\\;a$",{"key":48,"text":49},"E","$a\\;\\mathrlap{\\triangle}\\hspace{0.305em}\\raisebox{-0.12em}{\\(\\cdot\\)}\\hspace{0.306em}\\;c$","",3,"published","UNI 2025-1 · Aptitud Académica y Humanidades",{"attempts":19,"accuracy":19},{"id":56,"courseId":5,"topicId":13,"pastExamId":57,"stem":58,"options":59,"correctKey":39,"explanation":50,"difficulty":51,"status":52,"source":70,"stats":71},1323,193,"Dada la siguiente tabla:\n$$\\begin{array}{c|ccccc} \\bullet & 1 & 2 & 3 & 4 & 5 \\\\ \\hline 1 & 1 & 2 & 3 & 4 & 5 \\\\ 2 & 2 & 3 & 4 & 5 & 1 \\\\ 3 & 3 & 4 & 5 & 4 & 3 \\\\ 4 & 4 & 5 & 1 & 2 & 3 \\\\ 5 & 5 & 1 & 2 & 3 & 4 \\end{array}$$\nDetermine el valor de $x$ en la ecuación\n$x\\bullet(3\\bullet x)=5$",[60,62,64,66,68],{"key":36,"text":61},"1",{"key":39,"text":63},"2",{"key":42,"text":65},"3",{"key":45,"text":67},"4",{"key":48,"text":69},"5","UNI 2025-2 · Aptitud Académica y Humanidades",{"attempts":19,"accuracy":19},[],[74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,13,114],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1742,1791501536476]