POST UTME MADONNA UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular box has dimensions 3 cm x 2 cm x 4 cm. Find the volume of the box.
A. ( 24 ) cm^3
B. ( 36 ) cm^3
C. ( 48 ) cm^3
D. ( 60 ) cm^3
Question 2
Solve for x in the equation: \frac{1}{x+1} + \frac{1}{x-1} = \frac{1}{2}
A. x = 1
B. x = -1
C. x = 2
D. x = -2
Question 3
A circle has a radius of 4 cm. Find its area.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 4
Find the determinant of the matrix [ egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} ].
A. ( 0 )
B. ( 1 )
C. ( 2 )
D. ( 3 )
Question 5
Solve the inequality \frac{x^2 - 4}{x^2 - 9} > 0.
A. \( -3, -2 \) \cup (2, 3)
B. \( -3, -2 \) \cup \( 2, \infty \)
C. \( -\infty, -3 \) \cup \( -2, 2 \) \cup \( 3, \infty \)
D. \( -\infty, -3 \) \cup \( -2, 2 \) \cup (3, 4)
Question 6
Find the area of the triangle with vertices ( (0, 0), (3, 0), (0, 4) ).
A. \( \frac{1}{2} cdot 3 cdot 4 \)
B. \( \frac{1}{2} cdot 3 cdot 3 \)
C. \( \frac{1}{2} cdot 4 cdot 4 \)
D. \( \frac{1}{2} cdot 3 cdot 4 \)
Question 7
Solve the equation \( 2^x + 2^{-x} = 3 \).
A. \( x = 1 \)
B. \( x = -1 \)
C. \( x = 2 \)
D. \( x = -2 \)
Question 8
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 9
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. 1/2
B. 1/3
C. 2/5
D. 3/8
Question 10
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = \frac{5-3}{4-2}x + \frac{3 cdot 4 - 5 cdot 2}{4-2} \)
B. \( y = \frac{3-5}{2-4}x + \frac{3 cdot 2 - 5 cdot 4}{2-4} \)
C. \( y = \frac{5-3}{4-2}x + \frac{3 cdot 2 - 5 cdot 4}{4-2} \)
D. \( y = \frac{3-5}{2-4}x + \frac{3 cdot 4 - 5 cdot 2}{4-2} \)
Question 11
Find the matrix product AB, where A = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} and B = \begin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix}.
A. \begin{bmatrix} 19 & 22 \ 43 & 50 \end{bmatrix}
B. \begin{bmatrix} 17 & 20 \ 37 & 44 \end{bmatrix}
C. \begin{bmatrix} 21 & 24 \ 45 & 52 \end{bmatrix}
D. \begin{bmatrix} 23 & 26 \ 47 & 54 \end{bmatrix}
Question 12
Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).
A. x^2 + y^2 - 6x - 4y + 5 = 0
B. x^2 + y^2 + 6x + 4y + 5 = 0
C. x^2 + y^2 - 6x + 4y + 5 = 0
D. x^2 + y^2 + 6x - 4y + 5 = 0
Question 13
In a 3x3 matrix, if the determinant is 24, and the elements of the first row are 2, 3, and 4, what is the value of the element in the second row and third column?
A. 6
B. 8
C. 10
D. 12
Question 14
If the derivative of a function f(x) is f'(x) = 2x + 1, what is the value of f(3)?
A. 13
B. 15
C. 17
D. 19
Question 15
If the volume of a rec\tangular prism is 120 cubic units, and the length and width are in the ratio 3:2, what is the height of the prism?
A. 4
B. 5
C. 6
D. 8

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: