POST UTME AFE BABALOLA UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the volume of the solid formed by revolving the region bounded by y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 2
Solve the inequality \( 2x^2 + 3x - 1 > 0 \) u\sing the quadratic formula.
A. x < -1/2 or x > 1/2
B. x < -1/2 or x < 1/2
C. x > -1/2 or x < 1/2
D. x < -1/2 or x > 1/2
Question 3
In the number base $8$, what is the value of the expression $[5]_8 + [7]_8$?
A. 12
B. 14
C. 16
D. 18
Question 4
Solve for $x$: $\frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}$
A. 1
B. -1
C. 2
D. -2
Question 5
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. 0.68
B. 0.80
C. 0.90
D. 0.95
Question 6
A set of 5 consecutive integers has a median of 8. What is the sum of the integers?
A. 120
B. 125
C. 130
D. 135
Question 7
Solve for x in the equation \(\begin{vmatrix} 2 & 3 \ 4 & 5 \ \end{vmatrix} = \begin{vmatrix} x & 3 \ 4 & 5 \ \end{vmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 8
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, ...
A. 1240
B. 1245
C. 1247
D. 1249
Question 9
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. \( x = 1, y = 2 \)
B. \( x = 2, y = 3 \)
C. \( x = 3, y = 4 \)
D. \( x = 4, y = 5 \)
Question 10
Find the area under the curve y = 2x^3 - 5x^2 + 3x - 1 from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 11
Find the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.
A. 64\pi cm^3
B. 128\pi cm^3
C. 256\pi cm^3
D. 512\pi cm^3
Question 12
Solve the equation \(x^2 + 4x + 4 = 0\).
A. -2
B. -1
C. 1
D. 2
Question 13
Find the determinant of the matrix \begin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{pmatrix}
A. 0
B. 1
C. 2
D. 3
Question 14
Find the derivative of the function ( f(x) = \frac{1}{2x^2 + 3x - 1} ) u\sing the quotient rule.
A. f'(x) = \frac{-2x + 3}{\( 2x^2 + 3x - 1 \)^2}
B. f'(x) = \frac{2x + 3}{\( 2x^2 + 3x - 1 \)^2}
C. f'(x) = \frac{2x - 3}{\( 2x^2 + 3x - 1 \)^2}
D. f'(x) = \frac{2x + 1}{\( 2x^2 + 3x - 1 \)^2}
Question 15
Find the value of \(\sin 2\theta\) if \(\sin \theta = \frac{3}{5}\).
A. \frac{3}{5}
B. \frac{4}{5}
C. \frac{6}{5}
D. \frac{12}{5}

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