🧪 PC PI 2026 FGV | Raciocínio Lógico – Prova COMPLETA (Gabarito Comentado) | Perito Criminal

If you took the Logical Reasoning exam for the Piauí Civil Police (PC PI) exam, for the position of Criminal Expert, administered by FGV in 2026, this video provides a complete, detailed, and 100% commented correction of the questions asked on the exam (questions 11 to 16). Here at Matemática Bruta, you can follow the step-by-step solution, understanding the reasoning behind each item and how FGV tests logic and applied mathematics: analysis of parity and divisibility in powers, percentage variation with return to the base value, negation of propositions with quantifiers ("all" and "some"), probability with combinations, geometry with a trajectory forming a regular polygon (60° rotation), and analytical geometry to identify when a triangle is a right triangle. In practice, it is the commented answer key for Logical Reasoning from the 2026 PC PI (FGV) – Criminal Expert exam. 💚 Support Brutal Math Become a member and get exclusive benefits 👉    / @matematicabruta   ❤️ Subscribe and activate the 🔔 https://www.youtube.com/@matematicabr... ⏱ VIDEO INDEX (fill in the times after uploading the video) 00:00 Introduction 01:49 Question 11 – Parity/divisibility in N^3 (cases and conclusion “necessarily”) 05:43 Question 12 – 150% increase and percentage decrease until returning to the value of 2022 10:26 Question 13 – Logical negation with quantifiers (all/some) and connective “or” 13:56 Question 14 – Probability: 8 suspects, 3 guilty, and exactly 1 guilty party out of 2 17:58 Question 15 – 60° turn and closed trajectory: area of ​​the figure formed by the robot 23:22 Question 16 – Analytical geometry 📌 Questions solved in this video (Logical Reasoning – PC PI 2026, FGV | Criminal Expert) 11. Let N be an integer. It is necessarily true that N^3 is 12. In a region, the number of crimes that occurred in 2023 increased by 150% relative to the number of crimes that occurred in 2022. In 2024, however, the number of crimes that occurred returned to being equal to the number of crimes that occurred in 2022. Therefore, from 2023 to 2024, the percentage decrease in the number of crimes, relative to the number of crimes that occurred in 2023, was 13. Consider the following proposition: “All crimes were supported by some evidence or testimony.” The negation of this proposition is logically equivalent to: 14. In a group of 8 suspects, it is known that only 3 are guilty. If two suspects are chosen at random from this group, the probability that only one of them is guilty is 15. Initially, a robot was at point A on the Cartesian plane... (trajectory with 60° turns and 10 m displacements)... The area of ​​the region bounded by the robot's trajectory, in square meters, is closest to 16. For a given real number k, consider the triangle in the xy Cartesian plane whose vertices are A(k,7), B(3,1), and C(9,1). The sum of all values ​​of k for which ABC is a right triangle is 📚 Topics covered in the exam • Properties of powers: parity, multiples, and arguments by cases; • Percentage: variation, increase, and decrease with return to the base value; • Logic with quantifiers: negation of "all" and "or" structure; • Probability with combination (hypergeometric); • Geometry: trajectory with a 60° turn (regular polygon) and area; • Analytical geometry: distance, slope, and conditions of a right triangle. ⚙️ 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...   📘 VUNESP:    • VUNESP | Raciocínio Lógico Matemático – Pr...   📘 AOCP:    • INSTITUTO AOCP | Raciocínio Lógico Matemát...   📘 QUADRIX:    • QUADRIX | Raciocínio Lógico Matemático – P...   📘 IBFC:    • IBFC | Raciocínio Lógico Matemático – Prov...   📘 CEBRASPE:    • CEBRASPE | Raciocínio Lógico Matemático – ...   📘 CESGRANRIO:    • CESGRANRIO | Raciocínio Lógico Matemático ...   #logicalreasoning, #logicalreasoning, #pcpi, #civilpoliceofpiaui, #pcpi2026, #PCPIcontest, #PCPI2026contest, #fgv, #FGVexamboard, #fgv2026, #forensicexpert, #forensicexpertpcpi, #FGVexam