Cerquilho/SP 2025 | Correção Raciocínio Lógico Matemático – GCM Guarda Civil (Avança SP)

🚨 Complete and commented correction of the Logical-Mathematical Reasoning exam for the Cerquilho/SP City Hall (2025) public service exam, administered by Instituto Avança SP for the position of GCM – Municipal Civil Guard. 🧠📊 Here at Matemática Bruta, the format is reverse learning: you learn the theory by solving real questions, understanding how the exam board tests, the patterns that repeat themselves, and the classic tricks that help save exam time. 💡 📘 Topics covered in this video (Q11–Q20): LCM (least common multiple) — synchronization of exchanges GCD (greatest common divisor) — division into kits without leftovers Ratios and proportions — comparison of sales in different years Percentage / rule of three — calculation of 99% of a quantity Consumption and cost — calculation of fuel and total distance Arithmetic mean — updating after new values Simple interest — quarterly rate, interest and amount Linear function — total cost per day and mileage Pythagorean theorem — calculation of the hypotenuse Geometric Progression (GP) — determination of the first term ⏱️ INDEX / SUMMARY OF QUESTIONS Use the timestamps in the video timeline to navigate easily ⬇️ 🔹 Q11 — LCM: synchronized exchanges (00:42) 🔹 Q12 — MDC: division into kits (02:50) 🔹 Q13 — Proportional ratios: annual sales (08:56) 🔹 Q14 — Percentage / rule of three (10:05) 🔹 Q15 — Consumption and travel cost (12:17) 🔹 Q16 — Arithmetic mean with new data (16:45) 🔹 Q17 — Simple interest: quarterly rate (19:13) 🔹 Q18 — Affine cost function (24:15) 🔹 Q19 — Pythagorean Theorem (26:07) 🔹 Q20 — Geometric Progression (30:56) 💚 Support Brutal Math! Become a member and get exclusive benefits 👉    / @matematicabruta   ❤️ Subscribe and activate the 🔔 https://www.youtube.com/@matematicabr... 🎯 Want more solved exams? Check out the playlists by exam board: 📘 Explore the corrections organized by exam board and learn the style of each one! 👇 CEBRASPE:    • CEBRASPE | Raciocínio Lógico Matemático – ...   CESGRANRIO:    • CESGRANRIO | Raciocínio Lógico Matemático ...   FGV:    • FGV | Raciocínio Lógico Matemático – Prova...   QUADRIX:    • QUADRIX | Raciocínio Lógico Matemático – P...   VUNESP: CONSULPLAN:    • CONSULPLAN | Raciocínio Lógico Matemático ...   FUNDATEC:    • FUNDATEC | Raciocínio Lógico Matemático – ...   IBFC:    • IBFC | Raciocínio Lógico Matemático – Prov...   INSTITUTO AOCP:    • INSTITUTO AOCP | Raciocínio Lógico Matemát...   INSTITUTO AVANÇA SP:    • Instituto Avança SP | Raciocínio Lógico Ma...   EXPONENTIAL EQUATIONS, IRRATIONAL EQUATIONS, AND NUMERICAL EXPRESSIONS:    • EQUAÇÕES EXPONENCIAIS EM EXERCÍCIOS para E...   All playlists: https://www.youtube.com/@matematicabr... 🧾 Question Statements QUESTION 11 – Joelma changes the black cartridge every 25 days and the color cartridge every 65 days. Both were changed today. In how many days will they be changed on the same day again? QUESTION 12 – A parish wants to assemble kits with no leftovers, containing 84 toys and 108 clothes. What is the largest possible number of kits? QUESTION 13 – The ratio between sales in 2022 and 2023 is 3:2, and the ratio between 2024 and 2023 is double the previous one. Determine the relationship between the sales of the years. QUESTION 14 – In a stadium with 12,000 fans, 99% were present. How many people attended? QUESTION 15 – Janaina drives to Ubatuba (285 km), in a car that gets 3.5 km/L, with gasoline at R$5.00/L. What is the total fuel cost? QUESTION 16 – A set of 30 elements has a mean of 15. Adding the values ​​42 and 20, determine the new mean. QUESTION 17 – A capital of R$15,000.00 is invested at 8% per quarter (quarterly rate) for 3 months. Calculate the interest and the final amount. QUESTION 18 – Jacob rents a car for R$200 per day + R$0.80/km driven. Determine the linear function and validate it with different distances traveled. QUESTION 19 – A builder calculates the hypotenuse of a right triangle based on the measurements of the legs. QUESTION 20 – In a geometric progression (GP) with a common ratio of 2, the 15th term is 65,536. Determine the first term. #BruteMathematics #AvancaSP #CerquilhoSP #GCM #MunicipalCivilGuard #LogicalMathematicalReasoning #LCM #GCD #Percentage #Consumption #Functions #GeometricProgression #Pythagoras #ArithmeticMean #SimpleInterest #CommentedExam #Contests2025 #ReverseStudy #AvancaSPQuestions