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Mathematics Exam: Part 2

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.

graph

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.

Score 31-40 41-50 51-60 61-70 71-80 81-90 91-100
Number of Students 10 9 15 12 10 4 2

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]?