✅ Simulado Geral 10 | Todos os Tópicos do Curso | 100 questões comentadas | E-book na Descrição 📚

Get the complete E-book of this 100-question course now: https://hotmart.com/pt-br/marketplace... Visit our website: https://matematicadouglasdesouza.com.... 1. Consider the following statements as true: Bruno is a teacher or a lawyer. If Bruno is a lawyer, then Ana likes him. Ana doesn't like Bruno. Based on these statements, it is correct to conclude that: A) Bruno is a teacher. B) Ana is a lawyer. C) Bruno is a lawyer. D) Ana doesn't like teachers. 2. Choose the option that presents the logical proposition equivalent to the following proposition: “If Carlos passed the TJ/PR exam, then Carlos has completed high school.” A) “Carlos did not pass the TJ/PR exam or Carlos has completed high school.” B) “If Carlos did not pass the TJ/PR exam, then Carlos does not have completed high school.” C) “Carlos having completed high school is a sufficient condition for him to pass the TJ/PR exam.” D) “Carlos passing the TJ/PR exam is a necessary condition for him to have completed high school.” E) “Carlos has completed high school and did not pass the TJ/PR exam.” 3. How many anagrams are there of the word PERNAMBUCO, in which the letters P, E, and R are together in any order, and the letters MB are together in that order? A) 10! B) 10!/3! C) 10!/(3!2!) D) 7!.3!.2! E) 7!.3! 4. If it is true that "Every Northeasterner is a worker," then we can affirm that: a) If João is not from the Northeast, then he is not a worker. b) If Pedro is a worker, then he is from the Northeast. c) Paulo is not a worker, then he is not from the Northeast. d) Either Pedro is from the Northeast or Pedro is a worker. e) There are people who are from the Northeast and are not workers. 5. Marcelo loves church fairs and usually risks a few coins playing basketball. On average, he makes one shot in every 5 attempts. Tomorrow, Marcelo will try his luck again, paying 30 reais to have 3 chances to make a basket and win a basketball as a prize. The probability that Marcelo will win is between: A) 30% and 35%. B) 35% and 40%. C) 40% and 45%. D) 45% and 50%. E) 50% and 55%. 6. A school game consists of writing all the anagrams of a certain word on pieces of paper and then placing these anagrams in an urn. Consider that the game starts with the words "Soldado" (Soldier) and "Policia" (Police). Therefore, what is the approximate probability of drawing a word from this urn and it having the letters A and L together? a) 14% b) 29% c) 38% d) 19% e) 52% 7. Consider the propositions P, Q, and R. We can affirm that the logical structure (~P→Q)↔(R ∨~Q) is a a) Tautology b) Contingency c) Contradiction d) Analogy e) Negation 8. Consider the following statements: I – If Thadeu is a PMPE (Military Police of Pernambuco) officer, then Isaquel is not a Geography teacher. II – Thadeu is not a police officer if and only if Douglas is a professional musician. III – Isaquel is a Geography teacher or Jean is not a forensic expert. IV – Douglas is not a mathematics teacher and Jean is a forensic expert. Based on the above, it can be affirmed that: a) Thadeu is a police officer if and only if Jean is a forensic expert. b) If Isaquel is a Geography teacher then Douglas is a professional musician. c) Either Isaquel is a Geography teacher or Jean is a forensic expert. d) Douglas is a professional musician and Isaquel is not a Geography teacher. e) Douglas is a math teacher or Thadeu is a PMPE (Military Police of Pernambuco) officer. 9. Consider the following compound proposition: “If Mariana is a nurse, then Patrícia is a nutritionist.” Which of the following alternatives represents the contrapositive of this proposition? A) If Patrícia is not a nutritionist, then Mariana is a nurse. B) If Mariana is not a nurse, then Patrícia is a nutritionist. C) If Patrícia is not a nutritionist, then Mariana is not a nurse. D) If Mariana is not a nurse, then Patrícia is not a nutritionist. 10. A sequence of non-zero real numbers is called a geometric progression when each of its terms, starting from the second, is equal to the product of the previous term by a constant. Therefore, observe the following sequence: “4, 12, 36, 108,...”. What is the 6th term of this sequence? A) 324 B) 450 C) 567 D) 852 E) 972