POST UTME VERITAS UNIVERSITY 2023 Mathematics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
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.
Correct 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

Correct Answer: A

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Question 2
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.
Correct A. 32\pi/5
B. 16\pi/3
C. 32\pi/3
D. 16\pi/5

Correct Answer: A

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Question 3
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
Correct C. 15
D. 16

Correct Answer: C

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Question 4
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
Correct C. 40
D. 50

Correct Answer: C

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Question 5
A circle has a radius of 4 cm. Find the area of the sector formed by the central angle of 60 degrees.
Correct A. 8\pi/3
B. 16\pi/3
C. 32\pi/3
D. 64\pi/3

Correct Answer: A

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Question 6
Find the equation of the line pas\sing through the points ( (2,3) ) and ( (4,5) ).
Correct A. \( y = x + 1 \)
B. \( y = x - 1 \)
C. \( y = -x + 1 \)
D. \( y = x - 2 \)

Correct Answer: A

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Question 7
A histogram of exam scores is shown below. What is the mean score?
A. 40
Correct B. 50
C. 60
D. 70

Correct Answer: B

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Question 8
Solve for ( x ) in the equation \( 2^x + 5^x = 7^x \).
A. \( x = 2 \)
B. \( x = 3 \)
Correct C. \( x = 4 \)
D. \( x = 5 \)

Correct Answer: C

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Question 9
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
Correct A. 0
B. 1
C. 2
D. 3

Correct Answer: A

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Question 10
A circle with center ( (0,0) ) and radius 5 passes through the point ( (3,4) ). Find the equation of the circle.
Correct A. \( x^2 + y^2 = 25 \)
B. \( x^2 + y^2 = 16 \)
C. \( x^2 + y^2 = 9 \)
D. \( x^2 + y^2 = 4 \)

Correct Answer: A

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Question 11
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the quotient rule.
Correct 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} \)

Correct Answer: A

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Question 12
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
Correct C. 0.35
D. 0.40

Correct Answer: C

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Question 13
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
Correct B. 0.24
C. 0.36
D. 0.48

Correct Answer: B

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Question 14
Solve the equation \( 2^x + 3^x = 5^x \) for x.
A. x = 2
B. x = 3
Correct C. x = 4
D. x = 5

Correct Answer: C

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Question 15
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 25
Correct C. 35
D. 45

Correct Answer: C

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