Instruction: Select the correct answer from the given choice.
16. Let p and q be propositions with truth values true and false respectively. Which one of the following statements is NOT correct?
17. Which one of the following is equal to the sum ∑5n=1 2n2?
18. company produces shirts of black and white colors from polyester and cotton. The company has 6000 units of polyester and 3000 units of cotton in its store. A black shirt requires 5 units of polyester and 4 units of cotton, whereas a white shirt requires 3 units of polyester and 3 units of cotton. If the factory gets a profit of Birr 120 from each black shirt and Birr 200 from each white shirt, what is the maximum profit of the company?
19. S, R, and T be any three sets. Which one of the following is NOT true about the union of the sets?
20. Which one of the following is equal to the polynomial function f(x) = x2 + 4x + 4?
21. one of the following is true about the function f(x) = tan x?
22. one of the following is an equation of the parabola with vertex V and focus F(2, 0)?
23. one of the following is equal to the sum ∑k=17 729(31−k)?
24 is the maximum value of z = 2x + 3y subject to the constraints:
x + y ≤ 6 2x − y ≤ 6 x ≥ 0 y ≥ 0
25. Which one of the following numbers is a common multiple of 324 and 1152?
26. Consider a circle with center O and the line segments AB, AC, and BC are chords of the circle as shown in the figure below.
If m(∠ABC) = 60° and m(∠ACB) = 40°, then what is m(∠BOC)?
27. Which one of the following is the solution of the equation (243)2x−3 = (81)−3x+2 / 3 in the set of real numbers?
28. What is the total surface area of a regular square pyramid with slant height 8 cm and base area 25 cm2?
29. The following table presents the scores of Grade 11 students of a certain school in a Mathematics Examination.
What is the median of the data given in the above table?
30. What is the area of the region bounded by the graph of f(x) = x3 and the x-axis on the interval [-4, 2]?
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