POST UTME BOWEN UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the equation [ 2x^2 + 3x - 1 = 0 ].
A. x = -1/2
B. x = 1/2
C. x = -1
D. x = 1
Question 2
A force of 10 N acts on an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?
A. 5 kg
B. 10 kg
C. 15 kg
D. 20 kg
Question 3
Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).
A. \( \frac{2 + 4 + 6 + 8 + 10}{5} \)
B. \( \frac{2 + 4 + 6 + 8 + 10}{4} \)
C. \( \frac{2 + 4 + 6 + 8 + 10}{3} \)
D. \( \frac{2 + 4 + 6 + 8 + 10}{2} \)
Question 4
Find the derivative of the function f(x) = \frac{\ln x}{x^2} u\sing the quotient rule.
A. \frac{1}{x^3}
B. \frac{2x}{x^4}
C. \frac{x^2}{x^4}
D. \frac{x^3}{x^4}
Question 5
Find the value of \( \log_{10} \( 1000 \ \) ).
A. ( 3 )
B. ( 4 )
C. ( 5 )
D. ( 6 )
Question 6
Find the value of \( \sin \( 2x \ \) ) given that \( \sin \( x \ \) = \frac{1}{2} ) and \( \cos \( x \ \) = \frac{\sqrt{3}}{2} ).
A. \( \frac{\sqrt{3}}{2} \)
B. \( \frac{1}{2} \)
C. \( -\frac{1}{2} \)
D. \( -\frac{\sqrt{3}}{2} \)
Question 7
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \times 4^2 + 3 \times 4 - 2 \)
B. \( \frac{1}{2} \times 4^2 + 3 \times 4 + 2 \)
C. \( \frac{1}{2} \times 4^2 - 3 \times 4 - 2 \)
D. \( \frac{1}{2} \times 4^2 - 3 \times 4 + 2 \)
Question 8
Solve the system of linear equations u\sing matrices: \( egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 7 \ 10 \end{bmatrix} \).
A. \( egin{bmatrix} 1 \ 2 \end{bmatrix} \)
B. \( egin{bmatrix} 2 \ 1 \end{bmatrix} \)
C. \( egin{bmatrix} 3 \ 4 \end{bmatrix} \)
D. \( egin{bmatrix} 4 \ 3 \end{bmatrix} \)
Question 9
Solve the equation \( 2^x + 2^{x+1} = 3 cdot 2^x \) for ( x ).
A. \( x = 1 \)
B. \( x = 2 \)
C. \( x = 3 \)
D. \( x = 4 \)
Question 10
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 11
Let ( f(x) = \frac{1}{x^2 + 1} ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. ( f'(x) = -\frac{2x}{\( x^2 + 1 \)^2} \)
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} \)
C. ( f'(x) = \frac{1}{\( x^2 + 1 \)^2} \)
D. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} \)
Question 12
Solve the inequality \( \frac{x}{2} - 1 > 3 \).
A. \( x > 8 \)
B. \( x < 8 \)
C. \( x > 6 \)
D. \( x < 6 \)
Question 13
A rec\tangular solid has dimensions 3 cm, 4 cm, and 5 cm. Find its surface area.
A. 94
B. 96
C. 98
D. 100
Question 14
A curve has equation [ y = x^2 + 2x + 1 ]. Find the area under the curve between x = 0 and x = 2.
A. 7
B. 8
C. 9
D. 10
Question 15
Let \( mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix} \) and \( mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix} \). Find the vector \( mathbf{a} \times mathbf{b} \) u\sing the determinant method.
A. \( egin{pmatrix} 10 \ -14 \end{pmatrix} \)
B. \( egin{pmatrix} -10 \ 14 \end{pmatrix} \)
C. \( egin{pmatrix} 14 \ 10 \end{pmatrix} \)
D. \( egin{pmatrix} 0 \ 0 \end{pmatrix} \)

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