POST UTME MADONNA UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -3 \) ∪ (1, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 2
Solve the system of equations \( x + y = 4 \) and \( x - y = 2 \).
A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0
Question 3
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
A. 1240
B. 1290
C. 1340
D. 1390
Question 4
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = - 2x + 1 \)
D. \( y = 2x - 2 \)
Question 5
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 6
C. 8
D. 10
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -3 \) ∪ (1, ∞) ∪ (3, ∞)
D. \( -∞, -1 \) ∪ \( -3, 1 \)
Question 7
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = \frac{2}{2}\( x - 2 \) + 3
B. y = \frac{2}{2}\( x - 4 \) + 5
C. y = \frac{2}{2}\( x - 2 \) + 5
D. y = \frac{2}{2}\( x - 4 \) + 3
Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 1 \) ∪ (3, ∞)
Question 9
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 10
Solve the quadratic equation \[ x^2 + 4x + 4 = 0 \].
A. \\begin{pmatrix} -2 \\ -2 \\end{pmatrix}
B. \\begin{pmatrix} -1 \\ -3 \\end{pmatrix}
C. \\begin{pmatrix} -3 \\ -1 \\end{pmatrix}
D. \\begin{pmatrix} -4 \\ -0 \\end{pmatrix}
Question 11
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 12
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 13
Solve the quadratic equation \[ x^2 - 4x + 4 = 0 \].
A. \\begin{pmatrix} 2 \\ 2 \\end{pmatrix}
B. \\begin{pmatrix} 1 \\ 3 \\end{pmatrix}
C. \\begin{pmatrix} 3 \\ 1 \\end{pmatrix}
D. \\begin{pmatrix} 4 \\ 0 \\end{pmatrix}
Question 14
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. f'(x) = -2x/\( x^2 + 1 \)^2
B. f'(x) = 2x/\( x^2 + 1 \)^2
C. f'(x) = -2/\( x^2 + 1 \)^2
D. f'(x) = 2/\( x^2 + 1 \)^2
Question 15
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 60
C. 80
D. 100

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