POST UTME AFE BABALOLA UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. x = -2 or x = -3
B. x = 2 or x = 3
C. x = -1 or x = -6
D. x = 1 or x = 6
Question 2
A set A has 5 elements. If 3 elements are randomly selected from set A, what is the probability that the selected elements are distinct?
A. \frac{5}{3}
B. \frac{3}{5}
C. \frac{2}{3}
D. \frac{1}{2}
Question 3
Find the value of \( x \) in the equation \( 2^x + 2^{x+1} = 3 \cdot 2^x \).
A. 1
B. 2
C. 3
D. 4
Question 4
Solve the equation \( \tan x = \sqrt{3} \).
A. x = \\frac{\\pi}{3} + k\\pi
B. x = \\frac{\\pi}{6} + k\\pi
C. x = \\frac{\\pi}{4} + k\\pi
D. x = \\frac{\\pi}{2} + k\\pi
Question 5
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 6
A probability experiment consists of rolling a fair six-sided die. Find the probability that the number rolled is greater than 4.
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 7
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 8
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. ( 8 )
B. ( 16 )
C. ( 32 )
D. ( 64 )
Question 9
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. 0
B. 1
C. 2
D. 3
Question 10
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first five terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 11
Find the equation of the circle with center at (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 64
Question 12
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 13
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 14
Find the vector ( mathbf{v} ) such that \( mathbf{v} cdot mathbf{i} = 3 \) and \( mathbf{v} cdot mathbf{j} = -2 \).
A. \( mathbf{v} = 3mathbf{i} - 2mathbf{j} \)
B. \( mathbf{v} = 3mathbf{i} + 2mathbf{j} \)
C. \( mathbf{v} = -3mathbf{i} + 2mathbf{j} \)
D. \( mathbf{v} = -3mathbf{i} - 2mathbf{j} \)
Question 15
A sequence is defined as: 2, 6, 12, 20, ... . What is the next term in the sequence?
A. 30
B. 28
C. 32
D. 29

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