POST UTME VERITAS UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the volume of the solid formed by revolving the region bounded by the curve y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 2
In a random experiment, two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find the probability that both events occur.
A. 0.24
B. 0.24
C. 0.24
D. 0.24
Question 3
The equation of a circle is given by \( x^2 + y^2 - 6x + 4y + 4 = 0 \). Find the coordinates of the center of the circle.
A. \( 3, -2 \)
B. (2, 3)
C. \( 4, -1 \)
D. (1, 2)
Question 4
In the diagram below, ( ABC ) is a triangle with \( AB = 5 \) cm and \( BC = 6 \) cm. Find the length of ( AC ).
A. 7
B. 8
C. 9
D. 10
Question 5
A sequence is defined by the recurrence relation \( a_n = 2a_{n-1} + 3 \) with initial term \( a_1 = 2 \). Find the sum of the first 5 terms of the sequence.
A. 33
B. 35
C. 37
D. 39
Question 6
Find the area of the triangle with vertices (0,0), (3,0), and (0,4).
A. 12
B. 15
C. 18
D. 20
Question 7
A random variable X has a probability distribution given by P\( X = 1 \) = 0.4, P\( X = 2 \) = 0.3, P\( X = 3 \) = 0.3. If two indep\endent random variables X and Y have the same probability distribution, find the probability that X + Y = 5.
A. 0.1
B. 0.2
C. 0.3
D. 0.4
Question 8
A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Find its surface area.
A. 240 cm^2
B. 250 cm^2
C. 260 cm^2
D. 270 cm^2
Question 9
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 10
Find the sum of the first 5 terms of the geometric series \( 2x + 3x^2 + 4x^3 + ... \).
A. 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5
B. 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6
C. 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7
D. 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7 + 9x^8
Question 11
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 12
Solve the matrix equation AX = B, where A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}, X = egin{bmatrix} x \ y \end{bmatrix}, and B = egin{bmatrix} 5 \ 6 \end{bmatrix}.
A. X = egin{bmatrix} 1 \ 2 \end{bmatrix}
B. X = egin{bmatrix} 2 \ 1 \end{bmatrix}
C. X = egin{bmatrix} 3 \ 4 \end{bmatrix}
D. X = egin{bmatrix} 4 \ 3 \end{bmatrix}
Question 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 14
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 2.
A. 10
B. 12
C. 15
D. 20
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)

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: