POST UTME BSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
A. \text{Equation: } y = 2x - 1
B. \text{Equation: } y = 2x + 1
C. \text{Equation: } y = x - 1
D. \text{Equation: } y = x + 1
Question 2
Solve the system of linear equations u\sing matrices: \begin{align*} x + 2y - 3z &= 7 \ 2x - 3y + z &= -3 \ 3x + y + 2z &= 5 \end{align*}
A. \begin{align*} x &= 1 \ y &= 2 \ z &= 3 \end{align*}
B. \begin{align*} x &= 2 \ y &= 1 \ z &= 3 \end{align*}
C. \begin{align*} x &= 1 \ y &= 3 \ z &= 2 \end{align*}
D. \begin{align*} x &= 3 \ y &= 1 \ z &= 2 \end{align*}
Question 3
Solve the equation \[\log_2 \( x^2 + 1 \) + \log_2 \( x + 1 \) = 3\].
A. x = 7
B. x = 3
C. x = 1
D. x = -1
Question 4
Solve the equation $\log_2 \( x^2 \) = 4$ for $x$.
A. 2
B. 4
C. 8
D. 16
Question 5
A matrix is given by: [ \begin{bmatrix} 2 & 1 \ 3 & 4 \end{bmatrix} \]. Find the determinant of the matrix.
A. -1
B. 1
C. 2
D. 3
Question 6
Find the area under the curve \[ y = \frac{1}{x^2 + 1} \] from x = 0 to x = 1.
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{5}
Question 7
Find the vector ( mathbf{a} ) such that \( mathbf{a} cdot mathbf{b} = 10 \) and \( mathbf{a} cdot mathbf{c} = 5 \), where \( mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix} \) and \( mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix} \).
A. \( egin{pmatrix} 5 \ 2 \end{pmatrix} \)
B. \( egin{pmatrix} 2 \ 5 \end{pmatrix} \)
C. \( egin{pmatrix} 3 \ 4 \end{pmatrix} \)
D. \( egin{pmatrix} 4 \ 3 \end{pmatrix} \)
Question 8
A probability experiment consists of two indep\endent events A and B. The probability of event A occurring is 0.4 and the probability of event B occurring is 0.6. Find the probability of both events occurring.
A. 0.24
B. 0.26
C. 0.28
D. 0.30
Question 9
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3.
A. 27
B. 30
C. 33
D. 36
Question 10
Find the mean of the data set: ( 2, 4, 6, 8, 10 ).
A. 4
B. 6
C. 8
D. 10
Question 11
Solve the quadratic equation \[ x^2 + 4x + 4 = 0 \] u\sing the quadratic formula.
A. \begin{align*} x &= -2 \end{align*}
B. \begin{align*} x &= 2 \end{align*}
C. \begin{align*} x &= -1 \end{align*}
D. \begin{align*} x &= 1 \end{align*}
Question 12
Determine the value of $\frac{d}{dx} \left\( \frac{1}{x^2} \right \)$ u\sing the quotient rule.
A. \frac{2}{x^3}
B. -\frac{2}{x^3}
C. \frac{1}{x^3}
D. -\frac{1}{x^3}
Question 13
A quadratic equation is given by: [ x^2 + 4x + 4 = 0 ]. Find the value of x.
A. -2
B. -1
C. 1
D. 2
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 42
C. 44
D. 46
Question 15
Solve the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. x = 2
B. x = 4
C. x = 6
D. x = 8

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