[{"data":1,"prerenderedAt":137},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Faritmetica\u002Frazones-y-proporciones?{}":3,"topics-with-content:aritmetica":113},{"course":4,"topic":12,"counts":17,"universities":22,"channels":35,"sampleQuestions":69,"sameName":112},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},1,"aritmetica","Aritmética","Aritm.","math","i-lucide-percent",0,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},110,"razones-y-proporciones","Razones y proporciones",9,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},13,122,93,2644,[23,30],{"universityId":5,"questions":24,"years":25},8,[26,27,28,29],2026,2024,2023,2022,{"universityId":31,"questions":32,"years":33},2,5,[34,28,29],2025,[36,39,42,45,48,51,54,57,59,61,63,65,67],{"name":37,"classes":38},"Alberto Cruz",33,{"name":40,"classes":41},"Ciclo Uni-San Marcos",27,{"name":43,"classes":44},"Academia ipluton",15,{"name":46,"classes":47},"Academia Grupo Ciencias",14,{"name":49,"classes":50},"Academia Internet",10,{"name":52,"classes":53},"CEPRE UNMSM",7,{"name":55,"classes":56},"Academias Aduni y César Vallejo",3,{"name":58,"classes":56},"Pamer Corporación Educativa",{"name":60,"classes":56},"Salón Sapiens",{"name":62,"classes":31},"Academia_Pitagoras",{"name":64,"classes":31},"META VILLARREAL",{"name":66,"classes":31},"Trilce Multimedia",{"name":68,"classes":5},"Saco Oliveros",[70,95],{"id":71,"courseId":5,"topicId":13,"pastExamId":72,"stem":73,"options":74,"correctKey":76,"explanation":90,"difficulty":91,"status":92,"source":93,"stats":94},5029,248,"En una reunión, la relación entre la cantidad de mujeres y varones era de 5 a 1; luego de dos horas, llegaron m mujeres y (3m –14) varones, y la nueva relación fue de 3 a 2. Tres horas más tarde, se retiraron n parejas y la relación que quedó fue de 5 a 3. Si la cantidad de mujeres que hubo al inicio excede a la cantidad de varones que quedó al final en 95, halle el valor de n×m.",[75,78,81,84,87],{"key":76,"text":77},"A","2750",{"key":79,"text":80},"B","2705",{"key":82,"text":83},"C","2075",{"key":85,"text":86},"D","2057",{"key":88,"text":89},"E","2055","",4,"published","UNMSM 2026-II · Medicina Humana",{"attempts":11,"accuracy":11},{"id":96,"courseId":5,"topicId":13,"pastExamId":97,"stem":98,"options":99,"correctKey":85,"explanation":90,"difficulty":56,"status":92,"source":110,"stats":111},1276,192,"Sean $a$, $b$, $c$ y $d$ números naturales. Determine si la proposición es verdadera (V) o falsa (F).\nI. Si $\\dfrac{a}{b}=\\dfrac{c}{d}=\\dfrac{9}{4}$, entonces $\\sqrt{\\dfrac{a^{2}+c^{2}}{b^{2}+d^{2}}}=\\dfrac{3}{2}$.\nII. Si $\\dfrac{a}{b}=\\dfrac{c}{d}=k$, entonces $\\dfrac{a+c}{b+d}=k$.\nIII. Si $\\dfrac{a}{b}=\\dfrac{c}{d}$, entonces $\\dfrac{a+2b}{b}=\\dfrac{c+2d}{d}$.\nIndique la secuencia correcta.",[100,102,104,106,108],{"key":76,"text":101},"VFV",{"key":79,"text":103},"VFF",{"key":82,"text":105},"FFV",{"key":85,"text":107},"FVV",{"key":88,"text":109},"VVV","UNI 2025-1 · Matemática",{"attempts":11,"accuracy":11},[],[114,115,116,117,118,119,120,121,122,13,123,124,125,126,127,128,129,130,131,132,133,19,134,135,136],101,102,103,104,105,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,125,1791501524762]