POST UTME VERITAS UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x < 1 or x > -3/2
C. x < -3/2 or x > 1
D. x < 3/2 or x > -1
Question 2
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 3
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 100.48
C. 200.96
D. 50.72
Question 4
Solve the equation \sin^2 x + \cos^2 x = 1 for x in the interval [0, 2\pi].
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{3\pi}{4}
D. \pi
Question 5
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 6
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = -1
C. x = 1
D. x = 2
Question 7
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. y = x + 1
B. y = x - 1
C. y = -x + 1
D. y = x - 2
Question 8
A company has two machines that produce 60% and 40% of the total output, respectively. If the first machine produces 120 units, find the total output.
A. 200 units
B. 220 units
C. 240 units
D. 260 units
Question 9
A circle passes through the points (2,3) and (4,5). Find the equation of the circle.
A. \( x^2 + y^2 - 6x - 2y + 4 = 0 \)
B. \( x^2 + y^2 - 4x - 6y + 4 = 0 \)
C. \( x^2 + y^2 + 6x + 2y + 4 = 0 \)
D. \( x^2 + y^2 - 2x - 6y + 4 = 0 \)
Question 10
Determine the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.
A. 48π cm^3
B. 64π cm^3
C. 96π cm^3
D. 128π cm^3
Question 11
Find the equation of the line pas\sing through the points (1, 2) and (3, 4).
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = -2x - 1
Question 12
Find the sum of the first 10 terms of the arithmetic sequence with first term 2 and common difference 3.
A. 55
B. 60
C. 65
D. 70
Question 13
Find the area of the triangle with vertices (0,0), (3,0), and (0,4).
A. 12
B. 15
C. 18
D. 20
Question 14
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ) u\sing the chain rule.
A. 6x + 2
B. 6x^2 + 2x
C. 6x + 2x^2
D. 6x^2 - 2x
Question 15
Find the equation of the circle pas\sing through the points (1, 2), (3, 4), and (5, 6).
A. x^2 + y^2 + 4x - 8y + 5 = 0
B. x^2 + y^2 - 4x + 8y + 5 = 0
C. x^2 + y^2 + 2x - 4y + 5 = 0
D. x^2 + y^2 - 2x + 4y + 5 = 0

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