📘 UNIRIO 2026 AOCP | Raciocínio Lógico – Prova COMPLETA Comentada (Gabarito Detalhado)

If you took the UNIRIO Logical Reasoning exam, administered by INSTITUTO AOCP in 2026, this video provides a complete, detailed, and 100% commented answer key for questions 21 to 30. Here at Matemática Bruta, you can follow the step-by-step solution, understanding how AOCP tests Venn diagrams, probability, compound interest, argument validity, work problems, solution mixing, anagrams, and process counting in a context very similar to the routine of a university (SIE, SEI, AVA, warehouse, rectorate, process sector, etc.). It is, in practice, the commented answer key for the UNIRIO 2026 Logical Reasoning exam – AOCP. 💚 Support Brutal Math Become a member and get exclusive benefits 👉    / @matematicabruta   ❤️ Subscribe and activate the 🔔 https://www.youtube.com/@matematicabr... ⏱ VIDEO INDEX 00:00 Introduction 01:30 Question 21 07:25 Question 22 11:10 Question 23 13:59 Question 24 23:48 Question 25 26:09 Question 26 29:00 Question 27 33:54 Question 28 39:45 Question 29 42:45 Question 30 📌 Questions (Logical Reasoning – UNIRIO 2026, Instituto AOCP) 21. The UNIRIO Information Technology Directorate conducted a census of 220 employees regarding the use of institutional systems: SIE, SEI, and AVA. The survey revealed that all employees use at least one of these three systems. The data collected were:... 22. In a department with 50 employees, 30 speak English, 20 speak Spanish, and 10 do not speak either of these languages. If an employee from this department is randomly selected for an exchange scholarship, what is the probability that they speak only one of these languages? 23. An initial capital C was invested at compound interest with a rate that doubles the money in a period P. After how many of these periods will the amount be equal to 16 times the initial capital? 24. Analyze the validity of the argument: P1: If there is investment, the research advances. P2: The research did not advance. Conclusion: Therefore, there was no investment. This reasoning is an example of... 25. Two printers, "A" and "B", have different capacities. Printer "A" prints 3 pages while printer "B" prints 2. If printer "A" takes 40 minutes to print a batch of documents alone, how long will printer "B" take to print the same batch alone? 26. Observe the relationship between the pairs of words following a positional logic of the letters: AMOR – ORAM CASO – SOCA LAMA – MALA Following the same transposition rule, the word RITO will transform into... 27. A water tank supplies the building of a certain rectorate. With tap A open, the tank fills in 4 hours. With tap B open, it fills in 6 hours. If drain C is open, the full tank empties in 12 hours... 28. In a cleaning supply storeroom, there are two types of disinfectant solution. Solution A has 20% pure alcohol and Solution B has 50% pure alcohol. The goal is to obtain 12 liters of a mixture with a final alcohol concentration of 30%. 29. Determine how many anagrams (sequences of letters, with or without meaning) can be formed with the word UNIRIO and select the correct alternative. 30. A sector of UNIRIO has a stack of 10 pending processes, 6 related to material purchases and 4 related to personnel management. A server randomly removes 3 processes from this stack at once to proceed... 📚 Topics covered in the exam • Sets with three groups (SIE, SEI, AVA), union, intersections and "exactly two"; • Probability with sets (one language only) and with a finite sample (purchasing/personnel processes); • Compound interest and growth in powers (capital doubles each period); • Logic of arguments (valid and fallacious forms, modus tollens); • Workplace problems (printers, faucets + drains); • Mixing solutions with percentages (alcohol in liters); • Anagrams with repeated letters; • Interpretation of statements contextualized in university routine (systems, processes, warehouse). ⚙️ Complete Course on Logical-Mathematical Reasoning by Exam Board: FCC: 👉    • FCC - CURSO DE RACIOCÍNIO LÓGICO para CONC...   FGV: 👉    • FGV - CURSO DE RACIOCÍNIO LÓGICO para CONC...   VUNESP: 👉    • VUNESP - CURSO DE RACIOCÍNIO LÓGICO para C...   AOCP: 👉    • 🧠 AOCP - CURSO DE RACIOCÍNIO LÓGICO para C...   🎯 Playlists to continue studying: 📘 FCC — Mathematical Logical Reasoning:    • FUNDATEC | Raciocínio Lógico Matemático – ...   📘 FGV:    • FGV | Raciocínio Lógico Matemático – Prova...   📘 CEBRASPE:    • CEBRASPE | Raciocínio Lógico Matemático – ...   #unirio #unirio2026 #institutoaocp #aocp #logicalreasoning #mathematicalreasoning #rawmathematics #commentedquestions #publicserviceexam #publicserviceexamsrj #unirioexam #mathematicsforpublicserviceexams