APMBB 2023 MATHEMATICS TEST PART 01 QUESTIONS 1, 2 AND 3 VUNESP SOLVED

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  • Опубликовано: 17 янв 2025
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    SOLVED TEST FROM THE BARRO BRANCO MILITARY POLICE ACADEMY APMBB 2023 - VUNESP MATHEMATICS
    1) (BARRO BRANCO MILITARY POLICE ACADEMY - APMBB 2023 VUNESP) In a group of 500 people, some had already donated blood and the others had never donated. As a result of an awareness campaign, 30% of the people in this group who had never donated blood made a donation. After the campaign, the number of people who had already donated blood corresponded to 37% of the total number of people in this group. The number of blood donors in this group before the campaign was
    (A) 35.
    (B) 50.
    (C) 70.
    (D) 100.
    (E) 105.
    2) (BARRO BRANCO MILITARY POLICE ACADEMY - APMBB 2023 VUNESP) Consider the polynomial P(x) = x4 - 9x3 + 13x2 + dx - 50, where d is a real constant. Knowing that 5 is a root of multiplicity 2 of this polynomial and that m and n are the other two roots, such that m - n = 3, the sum m + d is equal to
    (A) 42.
    (B) 43.
    (C) 44.
    (D) 45.
    (E) 46.
    3) (BARRO BRANCO MILITARY POLICE ACADEMY - APMBB 2023 VUNESP) A commercial building has 8 floors, with 5 commercial rooms on each floor. Consider that 3 people arrive at this building, and it is equally likely that the destination of each of them is any of the rooms in the building. The probability of these 3 people going to the same floor but heading to 3 different rooms on that floor is
    (A) 3/400.
    (B) 3/40.
    (C) 9/160.
    (D) 9/40.
    (E) 3/640.
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