ZAMBOANGA STATE COLLEGE OF MARINE SCIENCES AND TECHNOLOGY Fort Pilar, Rio Hondo, Zamboanga City COLLEGE OF BUSINESS ADMINISTRATION Second Semester, S.Y. 2019-2020 MID-TERM EXAMINATION IN NGEC 4 (Math in the Modern World) Name: ________________________________________________ Score: _________________ Year & Section: ________________________________________ Date: __________________ I. MULTIPLE CHOICE: Encircle the letter of your corresponding answer. 1. Which figure completes the series? (2pts) A. B. C. D. 2. 1 is to 2, as 3 is to 4. (2pts) 1 2 3 4 ? A. B. C. D. 3. What number should come next in this sequence? (2pts) 22, 21, 25, 24, 28, 27, … A. 23 B. 26 C. 29 D. 30 4. What complete the following pattern? (2pts) CSD, ETF, GUH, ______, KWL A. IXJ B. IVJ C. IYJ D. IZJ 5. What number comes next in 1, 8, 27, 64, 125, _____? (2pts) A. 216 B. 250 C. 343 D. 512 6. Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=1, and so on. Find Fib(8) (2pts) A. 8 B. 13 C. 21 D. 34
7. If Fib(22)=17,711 and Fib(24)=46,368, what is Fib(23)? (2pts) A. 6,765 B. 10,946 C. 28,657 D. 75,025 8. If you have a wooden board that is 0.75 meters wide, how long should you cut it such that the Golden Ratio is observed? Use 1.618 as the value of the Golden Ratio. (Show solution on a separate sheet of paper.) (5pts.) A. 0.12 B. 1.21 C. 2.16 D. 21.57 9. A certain study found that the relationship between the student’s exam scores (y) and the number of hours they spent studying (x) is given by the equation y=10x+45. Using this information, what will be the estimated score of a student who spent 4 hours studying? (2pts) A. 35 B. 55 C. 65 D. 85 10. The distance traveled by an object given its initial velocity and acceleration over a period of time is given by the equation d = v0t + 1/2 (at2). Find the distance traveled by the airplane before it takes off if the starts from rest and accelerates down a runway at 3.50m/s2 for 34.5s. (Show solution on a separate sheet of paper.) (5pts.) A. 2,082.94 B. 4,165.88 C. 4,200.38 D. 6,248.82 11. Which of the following sets are equal? (2pts) V={a,b,c,d} W={d,e,a,c} X={d,b,a,c} Y={a,a,d,e,c,e} A. V&W B. V&X C. W&X D. W&Y 12. Which of the following set-builders are equal to A={0,1,2}? (2pts) A. { x ∈ R∨−1 ≤ x<3 } B. { x ∈ R∨−1< x <3 } C. { x ∈ Z ∨−1< x <3 } D. ¿ 13. How many elements are there in the set {1,{1},{1,{1}}}? (1pt.) A. 1 B. 2 C. 3 D. 4 For items 14 & 15: (2pts. each) Given: Let A={c,d,f,g}, B={f,j}, and C={d,g}. 14. What is ( A∪ B ) ? A. {c,d,e,f,g,j} B. {c,d,f,g,j} C. {c,d,g,j} D. {d.g.f,c} 15. What is A∩ ( B ∪ C ) ? A. {c,d,f,g,j} B. {d,f,g,j} C. {d,f,g} D. {d,g}
II. PROBLEM SOLVING 16. A hat and a jacket together cost P5,000. The jackets costs P4,500 more than the hat. What is the cost of the hat and the cost of the jacket? (5pts.) 17. Luke, Megan, and Stefanie can complete a task in 6 hours, 9 hours, and 18 hours working alone respectively. How long will it take for them to complete the task working together? (5pts.)