[{"data":1,"prerenderedAt":136},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Faritmetica\u002Fmagnitudes-proporcionales?{}":3,"topics-with-content:aritmetica":111},{"course":4,"topic":12,"counts":17,"universities":22,"channels":35,"sampleQuestions":68,"sameName":110},{"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},112,"magnitudes-proporcionales","Magnitudes proporcionales",11,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},14,137,97,2290,[23,31],{"universityId":5,"questions":24,"years":25},10,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":32,"questions":33,"years":34},2,4,[26,29,30],[36,39,42,45,47,50,53,56,58,60,62,64,66],{"name":37,"classes":38},"Ciclo Uni-San Marcos",37,{"name":40,"classes":41},"Alberto Cruz",26,{"name":43,"classes":44},"Academia Grupo Ciencias",18,{"name":46,"classes":44},"Academia ipluton",{"name":48,"classes":49},"Salón Sapiens",12,{"name":51,"classes":52},"CEPRE UNMSM",7,{"name":54,"classes":55},"Academia Internet",5,{"name":57,"classes":55},"Pamer Corporación Educativa",{"name":59,"classes":33},"Academias Aduni y César Vallejo",{"name":61,"classes":32},"Academia_Pitagoras",{"name":63,"classes":5},"META VILLARREAL",{"name":65,"classes":5},"Saco Oliveros",{"name":67,"classes":5},"Trilce Multimedia",[69,93],{"id":70,"courseId":5,"topicId":13,"pastExamId":71,"stem":72,"options":73,"correctKey":84,"explanation":89,"difficulty":32,"status":90,"source":91,"stats":92},1628,198,"En una fábrica se producen clavos, pernos y tornillos. Se sabe que por cada 6 kg de clavos se producen 4 kg de tornillos y por cada 3 kg de tornillos se producen 2 kg de pernos. Cierto día, la diferencia entre la producción de clavos y pernos fue 130 kg, ¿cuántos kilogramos de tornillos se produjeron ese día?",[74,77,80,83,86],{"key":75,"text":76},"A","143",{"key":78,"text":79},"B","144",{"key":81,"text":82},"C","154",{"key":84,"text":85},"D","156",{"key":87,"text":88},"E","168","","published","UNI 2026-1 · Matemática",{"attempts":11,"accuracy":11},{"id":94,"courseId":5,"topicId":13,"pastExamId":95,"stem":96,"options":97,"correctKey":75,"explanation":89,"difficulty":33,"status":90,"source":108,"stats":109},4444,238,"Un grupo de trabajadores se compromete a terminar una obra en un tiempo determinado. Faltando 16 días para el plazo establecido, cinco trabajadores renuncian y, 6 días después, contratan a otro grupo de trabajadores con el doble de eficiencia que el grupo anterior y, así, todos juntos continúan hasta terminar la obra en el plazo establecido. Si el último grupo, por el trabajo realizado, cobró 4800 soles, que luego se repartieron por igual entre ellos, ¿cuántos soles recibió cada uno?",[98,100,102,104,106],{"key":75,"text":99},"1200",{"key":78,"text":101},"960",{"key":81,"text":103},"800",{"key":84,"text":105},"600",{"key":87,"text":107},"480","UNMSM 2025-II · Área B · Ciencias Básicas",{"attempts":11,"accuracy":11},[],[112,113,114,115,116,117,118,119,120,121,122,13,123,124,125,126,127,128,129,130,131,132,133,134,135],101,102,103,104,105,106,107,108,109,110,111,113,114,115,116,117,118,119,120,121,122,123,124,125,1791501524821]