POST UTME AFE BABALOLA UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set A has 7 elements. If 3 elements are randomly selected from set A, what is the probability that the selected elements are distinct?
A. \frac{7}{3}
B. \frac{3}{7}
C. \frac{2}{3}
D. \frac{1}{2}
Question 2
Solve the equation \( \sin x = \frac{1}{2} \).
A. \frac{\pi}{6}
B. \frac{\pi}{3}
C. \frac{2\pi}{3}
D. \frac{5\pi}{6}
Question 3
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. 0
B. -2
C. -1
D. 1
Question 4
Find the area of the circle with a radius of 5 cm.
Question 5
A geometric progression has a first term of 2 and a common ratio of 3. Find the sum of the first five terms of the progression.
A. 1210
B. 1230
C. 1250
D. 1270
Question 6
A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly two elements.
A. 10
B. 15
C. 20
D. 25
Question 7
Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).
A. \( x = -1 \)
B. \( x = 3 \)
C. \( x = -3 \)
D. \( x = 1 \)
Question 8
A vector ( mathbf{a} ) has a magnitude of 5 and makes an angle of 60° with the positive x-axis. Find the x-component of the vector.
A. 2.5
B. 3.75
C. 4.33
D. 5.00
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \left\( -\infty, -1 \right \) \cup \left\( 3, \infty \right \)
B. \left\( -\infty, -1 \right \) \cap \left\( 3, \infty \right \)
C. \left\( -\infty, -1 \right \) \cup \left\( -1, 3 \right \)
D. \left\( -\infty, -1 \right \) \cap \left\( -1, 3 \right \)
Question 10
A polynomial function has a degree of 3 and a leading coefficient of 2. Find the sum of the coefficients of the polynomial.
A. 6
B. 8
C. 10
D. 12
Question 11
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x + 2 \ \)^2 + \( y - 3 \)^2 = 16 )
C. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )
D. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 )
Question 12
Solve the equation \( \tan x = \sqrt{3} \).
A. \frac{\pi}{3}
B. \frac{2\pi}{3}
C. \frac{4\pi}{3}
D. \frac{5\pi}{3}
Question 13
Find the surface area of a sphere with a radius of 5 cm.
A. 314
B. 314.16
C. 314.16
D. 314.16
Question 14
A polynomial function is defined as: f(x) = x^3 - 6x^2 + 11x - 6. What is the value of f\( -1 \)?
A. -24
B. -23
C. -25
D. -26
Question 15
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).
A. 6
B. 12
C. 18
D. 24

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