POST UTME REDEEMERS UNIVERSITY 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. x = -2
B. x = -3
C. x = -6
D. x = -8
Question 2
Find the volume of the solid formed by revolving the region bounded by the curve \( y = x^2 \) and the line \( x = 2 \) about the x-axis.
A. \( \frac{32}{3} pi \)
B. \( \frac{16}{3} pi \)
C. \( \frac{64}{3} pi \)
D. \( \frac{128}{3} pi \)
Question 3
Solve the matrix equation \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 5 \ 6 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 2 \end{bmatrix}
B. \begin{bmatrix} 2 \ 3 \end{bmatrix}
C. \begin{bmatrix} 3 \ 4 \end{bmatrix}
D. \begin{bmatrix} 4 \ 5 \end{bmatrix}
Question 4
Find the mean of the data set: 2, 4, 6, 8, 10.
A. 5
B. 6
C. 7
D. 8
Question 5
A sequence is defined by \( a_n = \frac{2n + 1}{3n - 2} \). Find the sum of the first five terms of the sequence.
A. 1.6667
B. 2.3333
C. 3.0000
D. 3.6667
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 7
A probability experiment consists of rolling a fair six-sided die. If the outcome is an even number, the player wins a prize. Find the probability of winning the prize.
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Question 8
Find the area of the circle with radius 4 cm.
A. 16π
B. 32π
C. 64π
D. 128π
Question 9
Determine the mean of the data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 10
A sequence is defined by the formula: an = 2n + 1. Find the sum of the first 5 terms of the sequence.
A. 30
B. 35
C. 40
D. 45
Question 11
Solve the inequality: 2x^2 + 5x - 3 > 0.
A. x < -1 or x > 3/2
B. x < -1 or x < 3/2
C. x > -1 or x > 3/2
D. x > -1 or x < 3/2
Question 12
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{x}{\( x^2 + 1 \)^2} )
Question 13
Find the area under the curve \( y = x^2 - 4x + 3 \) from \( x = 1 \) to \( x = 3 \).
A. \( 5 \)
B. \( 6 \)
C. \( 7 \)
D. \( 8 \)
Question 14
A geometric sequence has a first term of 2 and a common ratio of 3. Find the sum of the first 5 terms.
A. 731
B. 733
C. 735
D. 737
Question 15
A random experiment has two indep\endent events, A and B. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. What is the probability that both events occur?
A. 0.24
B. 0.36
C. 0.48
D. 0.60

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