[{"data":1,"prerenderedAt":160},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Frazonamiento-espacial?{}":3,"topics-with-content:razonamiento-matematico":118},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"sampleQuestions":73,"sameName":117},{"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},1711,"razonamiento-espacial","Razonamiento espacial",10,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},90,282,190,3955,[23,32],{"universityId":24,"questions":25,"years":26},1,66,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},2,24,[27,28,29,30,31],[37,40,43,46,49,52,55,58,60,63,66,69,71],{"name":38,"classes":39},"Alberto Cruz",81,{"name":41,"classes":42},"Academia Grupo Ciencias",54,{"name":44,"classes":45},"Ciclo Uni-San Marcos",32,{"name":47,"classes":48},"Academia ipluton",23,{"name":50,"classes":51},"Salón Sapiens",20,{"name":53,"classes":54},"Academias Aduni y César Vallejo",18,{"name":56,"classes":57},"Academia Internet",14,{"name":59,"classes":57},"Academia_Pitagoras",{"name":61,"classes":62},"CEPRE UNMSM",11,{"name":64,"classes":65},"Trilce Multimedia",8,{"name":67,"classes":68},"Pamer Corporación Educativa",4,{"name":70,"classes":33},"Saco Oliveros",{"name":72,"classes":24},"META VILLARREAL",[74,100],{"id":75,"courseId":5,"topicId":13,"pastExamId":76,"stem":77,"options":78,"correctKey":89,"explanation":94,"difficulty":95,"status":96,"source":97,"stats":98},5490,255,"En un plano coordenado XY, determine el valor de verdad (V o F) de las siguientes proposiciones:\nI. El punto simétrico de A(–2; 3) con respecto a la recta x=3 es (7; 3).\nII. El punto simétrico de B(–3; –5) con respecto a la recta y=x es (–5; –3)\nIII. El punto simétrico de C(3; 5) con respecto a la recta y=2 es (3; –1)",[79,82,85,88,91],{"key":80,"text":81},"A","FFF",{"key":83,"text":84},"B","FFV",{"key":86,"text":87},"C","VFF",{"key":89,"text":90},"D","FVV",{"key":92,"text":93},"E","VVV","",3,"published","UNMSM 2026-I · Área A · Ciencias de la Salud",{"attempts":99,"accuracy":99},0,{"id":101,"courseId":5,"topicId":13,"pastExamId":102,"stem":103,"options":104,"correctKey":86,"explanation":94,"difficulty":95,"status":96,"source":115,"stats":116},4150,234,"Se tiene una caja de forma de un paralelepípedo rectangular de base cuadrada cuyas dimensiones interiores son de 25 cm x 25 cm x 15 cm. Se dispone de 130 barras de madera de forma de un paralelepípedo rectangular cuyas dimensiones de cada barra son 15 cm x 5 cm x 1 cm. Si se coloca la máxima cantidad de estas barras dentro de la caja, ¿cuántas barras quedarán fuera?",[105,107,109,111,113],{"key":80,"text":106},"7",{"key":83,"text":108},"6",{"key":86,"text":110},"5",{"key":89,"text":112},"3",{"key":92,"text":114},"4","UNMSM 2024-I · Área D · Ciencias Económicas y de la Gestión",{"attempts":99,"accuracy":99},[],[119,120,121,122,123,124,125,126,127,128,13,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501535406]