POST UTME REDEEMERS UNIVERSITY 2019 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 = 2x - 1
B. y = 2x + 1
C. y = 2x - 2
D. y = 2x + 2
Question 2
A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Calculate its volume in cubic centimeters.
A. 120
B. 140
C. 160
D. 180
Question 3
Solve the system of equations $x^2 + y^2 = 25$ and $x + y = 5$.
A. x = 3, y = 2
B. x = 4, y = 1
C. x = 2, y = 3
D. x = 1, y = 4
Question 4
A vector ( mathbf{a} ) has a magnitude of 6 units and makes an angle of 30° with the positive x-axis. A vector ( mathbf{b} ) has a magnitude of 8 units and makes an angle of 60° with the positive x-axis. Determine the magnitude of the resul\tant vector \( mathbf{a} + mathbf{b} \).
A. ( 10 ) units
B. ( 12 ) units
C. ( 14 ) units
D. ( 16 ) units
Question 5
Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Round the answer to the nearest whole number.
A. 10
B. 12
C. 14
D. 16
Question 6
Determine the mean of the following set of numbers: 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 7
A binary number is represented as 1101. Convert it to decimal.
A. 13
B. 14
C. 15
D. 16
Question 8
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. x = -2 or x = -3
B. x = -1 or x = -6
C. x = 2 or x = 3
D. x = -3 or x = 2
Question 9
Find the equation of the line pas\sing through the points $(2, 3)$ and $(4, 5)$.
A. y = 2x + 1
B. y = 2x - 1
C. y = -2x + 1
D. y = -2x - 1
Question 10
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.9544
B. 0.8413
C. 0.6915
D. 0.6827
Question 11
In a histogram, the frequency of a class is represented by the area of the rec\tangle. If the width of the class is 5 and the height is 8, what is the area of the rec\tangle?
A. 20
B. 30
C. 40
D. 50
Question 12
A binary operation \ast is defined as follows: a \ast b = a^2 + b^2. Find \( 2 \ast 3 \) \ast 4.
A. 52
B. 53
C. 54
D. 55
Question 13
Solve the inequality $|2x - 3| \geq 5$.
A. x \leq -1 \text{ or } x \geq 4
B. x \leq -1 \text{ or } x \geq 6
C. x \leq -1 \text{ or } x \geq 3
D. x \leq -1 \text{ or } x \geq 2
Question 14
Solve the inequality \frac{x-2}{x+1} > 0.
A. x < -1 \cup x > 2
B. x < -1 \cap x > 2
C. x > -1 \cup x < 2
D. x > -1 \cap x < 2
Question 15
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) by factoring.
A. \( x = -2, x = -3 \)
B. \( x = 2, x = 3 \)
C. \( x = -1, x = -6 \)
D. \( x = 1, x = 6 \)

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