POST UTME VERITAS UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of ( x ) in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 2
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ) u\sing the power rule.
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 3
Find the area under the curve \( y = x^2 \sin x \) from \( x = 0 \) to \( x = pi \).
A. \frac{\pi^3}{3}
B. \frac{\pi^3}{6}
C. \frac{\pi^3}{12}
D. \frac{\pi^3}{24}
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = -1 \)
C. \( x = 1 \)
D. \( x = 2 \)
Question 5
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 6
A set of numbers has a mean of 10 and a s\tandard deviation of 2. What is the probability that a randomly selected number from this set is greater than 12?
A. 0.25
B. 0.5
C. 0.75
D. 0.9
Question 7
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 8
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 80
C. 96
D. 112
Question 9
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1 and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.
A. 1/4
B. 1/2
C. 3/4
D. 1
Question 10
A histogram is a graphical representation of the distribution of a set of data. What is the primary purpose of a histogram?
A. To show the frequency of each data point
B. To show the distribution of the data
C. To show the mean of the data
D. To show the median of the data
Question 11
Solve the inequality \( \frac{x}{x+2} > 0 \) for \( x in \( -infty, infty \ \) ).
A. \( -2, ∞ \)
B. \( -∞, -2 \) cup (0, ∞)
C. \( -∞, -2 \) cup (2, ∞)
D. \( -∞, 0 \) cup (2, ∞)
Question 12
Solve for y in the equation \( 2y^3 - 5y^2 + 3y - 1 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 13
Solve the inequality \( x^2 - 4x + 3 > 0 \).
A. \( -∞, 1 \) cup (3, ∞)
B. \( -∞, 3 \) cup (1, ∞)
C. \( -∞, ∞ \) \setminus \{1, 3\}
D. \( -∞, ∞ \)
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 + 2
C. 6x + 2x - 5
D. 6x^2 + 2x - 5
Question 15
A binary operation ( odot ) is defined as \( a odot b = ab + 2 \). Find the value of ( 3 odot 4 ).
A. 14
B. 16
C. 18
D. 20

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