MATNC2001
1. What is 10% of 16% of 3200 ?
   (a) 48.8 (b) 51.2 (c) 2419.2 (d) 62.4 (e) nota

2. Solve for x: 3x+2-9-6x = 9x- (2x+1) + 6
   (a) 16/5 (b) -11/10 (c) -1 (d) -9/10 (e) nota

3. If x/y = 4/7 and y/z = 14/3, evaluate (x+z) / z
   (a) 8/3 (b) 55/49 (c) 11/3 (d) 6/49 (e) nota

4. Line l intersects side AB and CD of rhombus ABCD at E and F, respectively. Given 
   angle AEF = 83 degree, determine the measure of angle EFC
   (a) 97  (b) 7 (c) 83 (d) 106 (e) nota

5. Find the smallest natural number evenly divisible by 42, 175, and 392
   (a) 210 (b) 13720 (c) 29400 (d) 68600 (e) nota

6. Evaluate 1+( 1/s+ (1/(3+1/4)) )
   (a) 8/5 (b) 43/30 (c) 23/7 (d) 25/21 (e) nota

7. What is the diameter of a circle whose area is 49 Pi ?
   (a) 7/(square root of 2) (b) 7 (c) 14 (d) 7 (square root of 2) (e) nota

8. Compute the value of (16x/24y) / (8/9) when x=3 and y=4
   (a) 6 (b) 27 (c) 853 (d) 9/16 (e) nota

9. In the realm of celebrity dining, it is considered polite to give the waiter a 
   tip worth 12% of the cost of the meal. If an actress leaves a $432 tip, 
   how much did the meal cost ?
   (a)3200 (b) 3400 (c) 3600 (d) 3800 (e) nota

10. Which of the following is a number that, when added to its reciprocal, produces 10/3 ?
    (a) 2 (b) 3 (c) 4 (d) 5 (e) nota

11. Due to a slanted ceiling wall at one end of an attic has the shape of a trapezoid 
    with two vertical sides perpendicular to the horizontal floor. The wall is 8 ft. high
    at one end, 10 ft. wide, and only 3 ft. high at the other end. How many square feet of
    the wallpaper would be needed to cover the wall ?
    (a) 240 (b) 120 (c) 110 (d) 55 (e) nota

12. What is theprime factorization of 5292 ?
    (a) 2.3.5 (b) 3.5.7 (c) 5.7.11 (d) 2.5.7 (e) nota

13. The arithmetic mean of a and b is 8 while the arithmetic mean of c and d is 44.
    What is the arithmetic of a,b,c, and d ?
    (a) 7.5 (b) 13 (c) 26 (d) 52 (e) nota

14. Find the solution set for x: 3x-2 <= -8x+7
    (a) x<= 8/5 (b) x<= -5/11 (c) x>= -9/5 (d) x<= 9/11 (e) nota

15. How many counting numbers less than 56998 are multiples of 3 and 2 ?
    (a) 56997 (b) 20898 (c) 47498 (d) 37998 (e) nota

16. Find the mode of the following data set: 5, -3, 7, 14, 5, 8, 2, -4, 6, 5, 6, 19
    (a) 5 (b) 23 (xc) 5.5 (d) 35/6 (e) nota

17. Since Richard's newly purchased home was so large, the seller provided him with
    a map where 1 and 1/2 inches represents 25 feet. If the two bathrooms are 6 and 3/8
    inches apart on the map, how far apart are the bathrooms ?
    (a) 103.125ft (b) 100ft (c) 105.5ft (d) 106.25ft (e) nota

18. What is the perimeter of a rectangle with area 252 and width 12 ?
    (a) 34 (b) 66 (c) 33 (d) 68 (e) nota

19. The line with equation y=2x+6 never passes through which quartant ?
    (a) IV (b) III (c) II (d) I (e) nota

20. How many diagonals can be drawn in a 23-sided polygon ?
    (a) 153 (b) 253 (c) 161 (d) 230 (e) nota

21. Simplify: (1-a/b) / (b/a -1)
    (a) -1 (b) 1/b (c) 1 (d) b/a (e) nota

22. The Fibonacci numbers are defined as follows: The first two numbers of the 
    sequence are a and from the third term onward, each term is the sum of the 
    previous two terms. If the 55th Fibonacci number is x, and the 56th Fibonacci 
    number is y, which of the following is an expression for the 51th Fibonacci 
    number in terms of x and y ?
    (a) 5y-2x (b) -3y-5x (c) 2y-3x (d)5x-3y (e) nota

23. Find the equation of the line passing through (3,6) and (8,-1) in the
    slope-intercept form.
    (a) 5y+7x = 57 (b) y=(7/5) x + 61/5  (c) y= (-7/5) x + 51/5 (d) 5y-7x=-27 (e) nota

24. The diagonals of a rhombus are 16 and 30. What is its perimeter ?
   (a) 68 (b) 100 (c) 40 (d) 52 (e) nota

25. Solve for x: (10x)x  - 23x -42 = 0
    (a) 7/5, -3 (b) -1.3, 3.1 (c) -6/5, 7/2 (d) 2.3, -4.2 (e) nota