POST UTME VERITAS UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Let A = [2, 4, 6] and B = [1, 3, 5]. Find the dot product of A and B.
A. 32
B. 36
C. 40
D. 44
Question 2
Find the value of ( x ) in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 3
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 4
Solve the system of equations \( x^2 + y^2 = 4 \) and \( xy = 2 \).
A. \left\{(2, 1), (-2, -1)\right\}
B. \left\{(1, 2), (-1, -2)\right\}
C. \left\{\( 2, -1 \), (-2, 1)\right\}
D. \left\{\( 1, -2 \), (-1, 2)\right\}
Question 5
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. 0
B. -2
C. 1
D. -1
Question 6
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x in [0, 2pi] ).
A. 0, \frac{pi}{2}, \pi, \frac{3pi}{2}
B. 0, \pi, 2pi
C. \frac{pi}{2}, \pi, \frac{3pi}{2}
D. 0, \frac{pi}{2}, \pi, \frac{3pi}{2}
Question 7
Solve the inequality \( \frac{x^2 - 4}{x + 2} > 0 \) for \( x in \( -infty, -2 \ \) cup \( -2, infty \) ).
A. \( -2, -1 \) ∪ (1, ∞)
B. \( -∞, -2 \) ∪ (2, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, -2 \) ∪ \( -1, ∞ \)
Question 8
Find the sum of the first 10 terms of the arithmetic sequence with first term \( a = 3 \) and common difference \( d = 2 \).
A. 60
B. 70
C. 80
D. 90
Question 9
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = -1 \)
C. \( x = 1 \)
D. \( x = 2 \)
Question 10
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 11
Solve the inequality \( x^2 - 4x + 3 < 0 \).
A. \left\( -\infty, 1 \right \) \cup \left\( 3, \infty \right \)
B. \left\( 1, \infty \right \) \cup \left\( -\infty, 3 \right \)
C. \left\( -\infty, 3 \right \) \cup \left\( 1, \infty \right \)
D. \left\( 1, 3 \right \)
Question 12
In the diagram below, ( ABC ) is a right-angled triangle with \( AB = 5 \) cm and \( BC = 12 \) cm. Find the length of the hypotenuse ( AC ).
A. 13
B. 14
C. 15
D. 16
Question 13
Solve the system of linear equations u\sing the method of substitution: \( 2x + 3y = 7 \) and \( x - 2y = -3 \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 14
Find the mean and s\tandard deviation of the data set: 2, 4, 6, 8, 10.
A. 4, 2
B. 6, 3
C. 8, 4
D. 10, 5
Question 15
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. -1
B. 1
C. 2
D. 3

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: