POST UTME RHEMA UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the value of x in the equation \( x^2 - 4x - 5 = 0 \).
A. 5
B. -1
C. 1
D. -5
Question 2
Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Assume the data set is a sample.
A. 10
B. 12
C. 14
D. 16
Question 3
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 1
D. 2
Question 4
Find the sum of the first 10 terms of the arithmetic progression 2, 5, 8, 11, ... .
A. 55
B. 60
C. 65
D. 70
Question 5
Find the determinant of the following 3x3 matrix: \\begin{bmatrix} 2 & 3 & 1 \\ 4 & 5 & 2 \\ 6 & 7 & 3 \\end{bmatrix}.
A. -1
B. 1
C. 2
D. 3
Question 6
Solve the equation \( x^2 + 2x - 6 = 0 \) u\sing the quadratic formula.
A. x = -3 \pm \sqrt{15}
B. x = -3 \pm \sqrt{12}
C. x = -3 \pm \sqrt{9}
D. x = -3 \pm \sqrt{6}
Question 7
Find the mean of the data set ( 2, 4, 6, 8, 10 ).
A. 4
B. 6
C. 8
D. 10
Question 8
Solve the matrix equation \( \begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 4 \end{bmatrix} \).
A. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}
B. \\begin{bmatrix} 2 \\ 1 \\end{bmatrix}
C. \\begin{bmatrix} 3 \\ 4 \\end{bmatrix}
D. \\begin{bmatrix} 4 \\ 3 \\end{bmatrix}
Question 9
Find the sum of the first 10 terms of the geometric progression 2, 6, 18, ...
A. 1092
B. 1236
C. 1380
D. 1524
Question 10
Solve for $x$ in the equation $\frac{1}{2} \log_{10} \( x^2 \) = 4$.
A. 10
B. 100
C. 1000
D. 10000
Question 11
Find the value of ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 12
A histogram is constructed with a mean of 25 and a s\tandard deviation of 3. If the total number of data points is 20, find the number of data points that lie within one s\tandard deviation of the mean.
A. 10
B. 12
C. 15
D. 18
Question 13
Solve the inequality \( \frac{x^2 - 4}{x^2 - 9} > 0 \) for \( x \in \mathbb{R} \setminus \{3, -3 \} \).
A. \( -3, -1 \) \cup (1, 3)
B. \( -3, -1 \) \cup (1, 3) \cup \( 3, \infty \)
C. \( -3, -1 \) \cup (1, 3) \cup \( -\infty, -3 \) \cup \( 3, \infty \)
D. \( -3, -1 \) \cup (1, 3) \cup \( -\infty, -3 \) \cup \( 3, \infty \) \cup \( 0, \infty \)
Question 14
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24 cm^2
B. 50.24 cm^2
C. 50.24 cm^2
D. 50.24 cm^2
Question 15
Determine the value of x in the equation \( \frac{x}{2} + 5 = 11 \).
A. 6
B. 7
C. 8
D. 9

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