[{"data":1,"prerenderedAt":118},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Fcuadrados-magicos?{}":3,"topics-with-content:razonamiento-matematico":76},{"course":4,"topic":12,"counts":17,"universities":20,"channels":31,"sampleQuestions":32,"sameName":75},{"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},1738,"cuadrados-magicos","Cuadrados mágicos",37,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":19,"minutes":19},11,0,[21,28],{"universityId":22,"questions":23,"years":24},1,10,[25,26,27],2026,2024,2022,{"universityId":29,"questions":22,"years":30},2,[25],[],[33,58],{"id":34,"courseId":5,"topicId":13,"pastExamId":35,"stem":36,"options":37,"correctKey":45,"explanation":53,"difficulty":54,"status":55,"source":56,"stats":57},1691,199,"En un cuadrado mágico, la suma de elementos de cada fila, cada columna y cada diagonal son iguales. En el siguiente cuadrado mágico mostrado:\n$$\\begin{array}{|c|c|c|}\\hline 0 & 20 & a \\\\ \\hline c & 4 & \\phantom{00} \\\\ \\hline \\phantom{00} & -12 & b \\\\ \\hline\\end{array}$$\ncalcule el valor de $a\\cdot b\\cdot c$.",[38,41,44,47,50],{"key":39,"text":40},"A","128",{"key":42,"text":43},"B","168",{"key":45,"text":46},"C","256",{"key":48,"text":49},"D","336",{"key":51,"text":52},"E","448","",3,"published","UNI 2026-2 · Aptitud Académica y Humanidades",{"attempts":19,"accuracy":19},{"id":59,"courseId":5,"topicId":13,"pastExamId":60,"stem":61,"options":62,"correctKey":51,"explanation":53,"difficulty":29,"status":55,"source":73,"stats":74},3965,231,"En un cuadrado mágico aditivo, la suma de los números de cada fila, columna o diagonal es siempre la misma. En el cuadrado mágico aditivo mostrado de números enteros positivos, halle el valor de $P+E+Z$.\n$$\\begin{array}{|c|c|c|}\\hline 4 & D & E \\\\ \\hline 9 & H & 5 \\\\ \\hline P & A & Z \\\\ \\hline \\end{array}$$",[63,65,67,69,71],{"key":39,"text":64},"35",{"key":42,"text":66},"19",{"key":45,"text":68},"28",{"key":48,"text":70},"34",{"key":51,"text":72},"24","UNMSM 2024-I · Área A · Ciencias de la Salud",{"attempts":19,"accuracy":19},[],[77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,13,114,115,116,117],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1739,1740,1741,1742,1791501536467]