POST UTME BELLS UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the mean of the data set: ( 2, 4, 6, 8, 10 ).
A. 6
B. 8
C. 10
D. 12
Question 2
A circle with center at ((0,0)) and radius 5 passes through the point ((3,4)). Find the equation of the circle.
A. \( x^2 + y^2 = 25 \)
B. \( x^2 + y^2 = 9 \)
C. \( x^2 + y^2 = 16 \)
D. \( x^2 + y^2 = 36 \)
Question 3
Solve for x in the equation \frac{1}{2} \cdot \frac{1}{3} \cdot \frac{1}{4} \cdot x = \frac{1}{24}.
A. x = \frac{1}{24}
B. x = \frac{1}{12}
C. x = \frac{1}{8}
D. x = \frac{1}{6}
Question 4
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 3, \infty \)
D. \( -\infty, -3 \) \cup \( 1, \infty \)
Question 5
Solve the inequality \( |x - 2| > 3 \).
A. \( x < -1 \) or \( x > 5 \)
B. \( x < -1 \) or \( x > 4 \)
C. \( x < -5 \) or \( x > 1 \)
D. \( x < 1 \) or \( x > 5 \)
Question 6
Find the sum of the first 10 terms of the geometric series 2, 6, 18, ...
A. 121
B. 123
C. 125
D. 127
Question 7
Solve for x in the inequality \( 2x - 5 > 3 \).
A. \( x > 4 \)
B. \( x < 4 \)
C. \( x > 2 \)
D. \( x < 2 \)
Question 8
Find the equation of the circle with center at ((2,3)) and radius 4.
A. \( x-2 \ \)^2 + \( y-3 \)^2 = 16 )
B. \( x-3 \ \)^2 + \( y-2 \)^2 = 16 )
C. \( x+2 \ \)^2 + \( y-3 \)^2 = 16 )
D. \( x-2 \ \)^2 + \( y+3 \)^2 = 16 )
Question 9
Solve the inequality x^2 + 4x - 5 > 0
A. \( -\infty, -5 \) \cup \( 1, \infty \)
B. \( -\infty, -1 \) \cup \( 5, \infty \)
C. \( -\infty, 1 \) \cup \( 5, \infty \)
D. \( -\infty, -5 \) \cup \( -1, \infty \)
Question 10
Find the determinant of the matrix \begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 11
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )
C. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
Question 12
Find the magnitude of the vector \( \vec{a} = \begin{pmatrix} 3 \ 4 \end{pmatrix} \) and the angle it makes with the x-axis.
A. 5, \tan^{-1} \frac{4}{3}
B. 5, \tan^{-1} \frac{3}{4}
C. 7, \tan^{-1} \frac{4}{3}
D. 7, \tan^{-1} \frac{3}{4}
Question 13
Solve the system of equations \begin{align*} x + y &= 3 \ x - y &= 1 \end{align*}.
A. x = 2, y = 1
B. x = 1, y = 2
C. x = 2, y = 2
D. x = 1, y = 1
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 16
B. 32
C. 64
D. 128
Question 15
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. Calculate the coefficient of variation (CV) of the sample.
A. 12.5%
B. 15%
C. 17.5%
D. 20%

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