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1) If A = {1,2,3} and B = {a,b,c}, then which of the following set of ordered pairs can represent a function from A to B?
A. {(1,a),(2,a),(3,b),(3,c)}
B. {(1,a),(2,b)}
C. {(1,a),(1,b),(1,c)}
D. {(1,a),(2,a),(3,a)}

2) Solve the quadratic equation. x^{2} – x – 12 = 0
A. 4 and -3
B. 4 and -2
C. 4 and -1
D. 4 and 4

3) ∠A and ∠B are complementary. ∠A and ∠C are supplementary. What shall be the minimum measure of ∠ A + ∠ B + ∠ C ?
A. 90
B. 180
C. 60
D. 120

4) The sum of three consecutive even numbers is four times the first of the three numbers. Find the three numbers.
A. 10, 14, 18
B. 12, 14, 16
C. 6, 8, 10
D. 9,10,11

5) Choose the polar co-ordinates of point Q that are equivalent to the polar coordinates of P(2, 30°).
A. (2, 390°)
B. (2, 39°)
C. (2, 90°)
D. (2, 30°)

6) In a right angled triangle if hypotenuse is 41cm and one side is 40cm find the length of other side?
A. 6.2 cm
B. 5.8 cm
C. 9 cm
D. 6.8 cm

7) From 7 green and 5 yellow balls. Two balls are drawn at a time. The probability of both balls are of same color is:
A. 1/33
B. 5/33
C. 7/22
D. 31/66

8) A bag contains 6 white and 4 black balls. a air die is rolled and that the number of balls are chosen from the bag. The probability that the balls selected are white is:
A. 1/5
B. 1/6
C. 1/7
D. 1/8

9) If A=120, B=150 then find the value of cosA+sinB
A. 1
B. 0
C. 1/2
D. none

10) Change the rectangular co-ordinates B(- 3, 1) to polar coordinates.
A. (2, 10^{0})
B. (2, 150^{0})
C. (2, 50^{0})
D. (1, 150^{0})

11) Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x^{2} + xy - 2y^{2} + 4 = 0?
A. Ellipse
B. Circle
C. both a and b
D. ellipse

12) A firm has an expected return on equity of 16% and an after-tax cost of debt of 8%. What debt-equity ratio should be used in order to keep the WACC at 12%?
A. 0.5
B. 0.75
C. 1
D. 1.50

13) Find all the solutions of the equation √ 3 sec x = 2 if 0° ≤ x ≤ 360°.
A. 30° ,330°
B. 270°, 330°
C. 180°, 270°
D. 90° , 270°

14) Determine the length of hypotenuse of a right triangle if two adjacent sides are 12 cm and 9 cm each?
A. 15 cm
B. 13 cm
C. 14 cm
D. 16 cm

15) If six children receive weekly allowances of $4.10, $4.32, $5.52, $7.18, $7.92 and $9.58, what is the range of their allowances?
A. 5.48
B. 9.58
C. 4.1
D. 4.32

16) The concept of compound interest refers to:
A. earning interest on the original investment.
B. payment of interest on previously earned interest.
C. investing for a multi-year period of time.
D. determining the APR of the investment.

17) Write the standard equation for the hyperbola with the given characteristics. vertices: (-2,0) and (2,0)
co-vertices: (0,-4) and (0,4)
A. (x^{2}/4) - (y^{2}/14) = 1
B. (x^{2}/4) + (y^{2}/16) = 1
C. (x^{2}/4) - (y^{2}/16) = 1
D. (x^{2}/4) - (y^{2}/16) = 0

18) Solve the value of p(5, 2)
A. 10
B. 20
C. 40
D. 80

19) Two arithmetic means are inserted between 13 and 49. What is the common difference?
A. 10
B. 18
C. 36
D. 12

20) Which term of the arithmetic sequence with first term as 3 and common difference as 9 is 102?
A. 12
B. 13
C. 9
D. 15

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