POST UTME VERITAS UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
Find the area of the region bounded by the curve y = x^3 - 6x^2 + 9x + 2, the x-axis, and the lines x = 1 and x = 4.
A. 20
B. 30
C. 40
D. 50
Question 3
A circle with center ( (0,0) ) and radius 5 passes through the point ( (3,4) ). Find the equation of the circle.
A. \( x^2 + y^2 = 25 \)
B. \( x^2 + y^2 = 16 \)
C. \( x^2 + y^2 = 9 \)
D. \( x^2 + y^2 = 4 \)
Question 4
Find the volume of the solid formed by revolving the region bounded by the parabola y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 32\pi/5
B. 16\pi/3
C. 32\pi/3
D. 16\pi/5
Question 5
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 6
Solve for ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. \( x = 2 \)
B. \( x = 3 \)
C. \( x = 4 \)
D. \( x = 5 \)
Question 7
Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, what is the probability that both events occur?
A. 0.12
B. 0.24
C. 0.36
D. 0.48
Question 8
Solve the equation \( 2^x + 3^x = 5^x \) for x.
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 9
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the quotient rule.
A. ( f'(x) = \frac{2x\( x - 2 \) - \( x^2 - 4 \)}{\( x - 2 \)^2} \)
B. ( f'(x) = \frac{x^2 - 4}{\( x - 2 \)^2} \)
C. ( f'(x) = \frac{2x}{x - 2} \)
D. ( f'(x) = \frac{x^2 - 4}{x} \)
Question 10
A circle has a radius of 4 cm. Find the area of the sector formed by the central angle of 60 degrees.
A. 8\pi/3
B. 16\pi/3
C. 32\pi/3
D. 64\pi/3
Question 11
A histogram of exam scores is shown below. What is the mean score?
A. 40
B. 50
C. 60
D. 70
Question 12
A particle moves along the x-axis with a velocity given by v(t) = 2t^2 - 5t + 3. Find the position of the particle at t = 3 seconds, given that the initial position is 2 meters.
A. 13
B. 14
C. 15
D. 16
Question 13
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 25
C. 35
D. 45
Question 14
A histogram of exam scores is shown below. If the mean score is 75, and the s\tandard deviation is 10, what is the probability that a randomly selected student scored above 85?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 15
A random sample of 25 students from a university had a mean height of 175 cm with a s\tandard deviation of 5 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the population mean.
A. 170.35 cm, 179.65 cm
B. 170.15 cm, 179.85 cm
C. 170.25 cm, 179.75 cm
D. 170.45 cm, 179.55 cm

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: