[{"data":1,"prerenderedAt":153},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Fgraficos-y-tablas?{}":3,"topics-with-content:razonamiento-matematico":111},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"sampleQuestions":67,"sameName":110},{"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},1726,"graficos-y-tablas","Gráficos y tablas",25,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},55,108,83,1556,[23,32],{"universityId":24,"questions":25,"years":26},2,41,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},1,14,[27,29,30,31],[37,40,43,45,48,51,54,57,59,61,63,65],{"name":38,"classes":39},"Academia Grupo Ciencias",28,{"name":41,"classes":42},"Academias Aduni y César Vallejo",15,{"name":44,"classes":42},"Ciclo Uni-San Marcos",{"name":46,"classes":47},"Alberto Cruz",12,{"name":49,"classes":50},"Academia ipluton",11,{"name":52,"classes":53},"Academia_Pitagoras",10,{"name":55,"classes":56},"Academia Internet",6,{"name":58,"classes":56},"Salón Sapiens",{"name":60,"classes":24},"Trilce Multimedia",{"name":62,"classes":33},"CEPRE UNMSM",{"name":64,"classes":33},"Pamer Corporación Educativa",{"name":66,"classes":33},"Saco Oliveros",[68,93],{"id":69,"courseId":5,"topicId":13,"pastExamId":70,"stem":71,"options":72,"correctKey":86,"explanation":88,"difficulty":24,"status":89,"source":90,"stats":91},5674,258,"En la tabla adjunta, se registran 1200 operaciones de retiro de dinero del cajero de un banco.\n$$\\begin{array}{|c|c|}\\hline \\textbf{Retiro de dinero en soles} & \\textbf{Número de operaciones} \\\\ \\hline 500 & 300 \\\\ \\hline 1000 & 250 \\\\ \\hline 1200 & 150 \\\\ \\hline 1500 & x \\\\ \\hline 2000 & 120 \\\\ \\hline 2500 & 80 \\\\ \\hline 3000 & 50 \\\\ \\hline \\end{array}$$\nCalcule qué tanto por ciento representa el número de operaciones donde hubo más de 2000 soles de retiro con respecto al número de operaciones con más de 1000 soles de retiro.",[73,76,79,82,85],{"key":74,"text":75},"A","35%",{"key":77,"text":78},"B","25%",{"key":80,"text":81},"C","30%",{"key":83,"text":84},"D","18%",{"key":86,"text":87},"E","20%","","published","UNMSM 2026-I · Área D · Ciencias Económicas y de la Gestión",{"attempts":92,"accuracy":92},0,{"id":94,"courseId":5,"topicId":13,"pastExamId":95,"stem":96,"options":97,"correctKey":77,"explanation":88,"difficulty":24,"status":89,"source":108,"stats":109},1151,190,"La siguiente tabla muestra la distribución de dos tipos de servicios para un conjunto de 20 000 viviendas:\n$$\\begin{array}{|c|c|}\\hline \\textbf{Distribución} & \\textbf{Nro. viviendas} \\\\ \\hline \\begin{array}{c}\\text{con agua potable}\\\\ \\text{con luz eléctrica}\\end{array} & 5000 \\\\ \\hline \\begin{array}{c}\\text{con agua potable}\\\\ \\text{sin luz eléctrica}\\end{array} & 2000 \\\\ \\hline \\begin{array}{c}\\text{sin agua potable}\\\\ \\text{con luz eléctrica}\\end{array} & 5000 \\\\ \\hline \\begin{array}{c}\\text{sin agua potable}\\\\ \\text{sin luz eléctrica}\\end{array} & 8000 \\\\ \\hline\\end{array}$$\n¿Qué porcentaje de viviendas no cuenta con ambos servicios?",[98,100,102,104,106],{"key":74,"text":99},"25",{"key":77,"text":101},"40",{"key":80,"text":103},"60",{"key":83,"text":105},"65",{"key":86,"text":107},"75","UNI 2025-1 · Aptitud Académica y Humanidades",{"attempts":92,"accuracy":92},[],[112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,13,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501536225]