POST UTME VERITAS UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation 2^x + 5^x = 7^x.
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 2
A circle has a radius of 6 cm. What is the area of the circle in square centimeters?
A. 36π
B. 72π
C. 108π
D. 144π
Question 3
Find the area of the triangle with vertices ( (0, 0), (3, 0), ) and ( (0, 2) ).
A. 6
B. 12
C. 18
D. 24
Question 4
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \frac{1}{4}
B. \frac{1}{2}
C. \frac{3}{8}
D. \frac{5}{8}
Question 5
Let ( f(x) = x^3 - 6x^2 + 11x - 6 ). Find the value of ( f(2) ).
A. 10
B. 12
C. 14
D. 16
Question 6
Find the volume of the solid formed by revolving the region bounded by the curve \( y = \frac{1}{2}x^2 \) about the x-axis, from \( x = 0 \) to \( x = 2 \).
A. π/3
B. π/2
C. 2π/3
D. π
Question 7
Solve the inequality \frac{x+2}{x-1} > 0.
A. x < -2 or x > 1
B. x < -2 or x < 1
C. x > -2 or x > 1
D. x < -2 or x = 1
Question 8
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 0
B. -2
C. 2
D. -4
Question 9
In the circuit below, find the current flowing through the 5 ohm resistor.
A. ( 1 ) A
B. ( 2 ) A
C. ( 3 ) A
D. ( 4 ) A
Question 10
Find the sum of the infinite geometric series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \cdots \ \)
A. 2
B. 4
C. 8
D. 16
Question 11
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x+2 \)^2 + \( y-3 \)^2 = 16
B. \( x-2 \)^2 + \( y+3 \)^2 = 16
C. \( x+2 \)^2 + \( y+3 \)^2 = 16
D. \( x-2 \)^2 + \( y-3 \)^2 = 16
Question 12
A histogram is a graphical representation of the distribution of a set of data. What is the primary advantage of u\sing a histogram over a bar chart?
A. It allows for the visualization of continuous data
B. It is easier to read and unders\tand than a bar chart
C. It is more suitable for categorical data
D. It is more versatile than a bar chart
Question 13
Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{bmatrix} \).
A. ( 2 )
B. \( -1 \)
C. ( 1 )
D. ( 0 )
Question 14
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -1 \) or \( x < \frac{3}{2} \)
C. \( x > -1 \) or \( x < \frac{3}{2} \)
D. \( x > -1 \) or \( x > \frac{3}{2} \)
Question 15
Solve the equation \( x^2 + 2x - 6 = 0 \).
A. \( -3, 2 \)
B. \( -2, 3 \)
C. \( -3, 3 \)
D. \( -2, 2 \)

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