POST UTME GREENFIELD UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A polynomial ( p(x) ) has roots at \( x = -2, 1, 3 \). Write the polynomial in factored form.
A. \( x + 2 \)\( x - 1 \)\( x - 3 \)
B. \( x - 2 \)\( x + 1 \)\( x - 3 \)
C. \( x + 2 \)\( x - 1 \)\( x + 3 \)
D. \( x - 2 \)\( x + 1 \)\( x - 3 \)
Question 2
Find the value of x in the equation \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2}.
A. x = -1
B. x = 1
C. x = -2
D. x = 2
Question 3
Find the sum of the first 10 terms of the arithmetic progression 3, 6, 9, ...
A. 150
B. 160
C. 170
D. 180
Question 4
Solve the matrix equation \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 9 \end{bmatrix}.
A. \begin{bmatrix} 1 \ 3 \end{bmatrix}
B. \begin{bmatrix} 2 \ 4 \end{bmatrix}
C. \begin{bmatrix} 3 \ 5 \end{bmatrix}
D. \begin{bmatrix} 4 \ 6 \end{bmatrix}
Question 5
Two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.4 ) and ( P(B) = 0.6 ), find ( P(A cap B) ).
A. 0.24
B. 0.36
C. 0.48
D. 0.60
Question 6
Find the surface area of the solid formed by revolving the region bounded by \( y = x^2 \) and \( x = 2 \) about the x-axis.
A. 64\pi
B. 128\pi
C. 256\pi
D. 512\pi
Question 7
A rec\tangular prism has a length of 10 cm, a width of 6 cm, and a height of 4 cm. If the surface area of the prism is 248 cm^2, what is the value of x in the equation 2x + 5 = 11?
A. 2
B. 3
C. 4
D. 5
Question 8
Solve the inequality \frac{x}{x+1} > 1.
A. x < -1 or x > 0
B. x > -1 or x < 0
C. x < 0 or x > 1
D. x > 0 or x < 1
Question 9
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 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 11
Find the value of \sin(2x) given that \sin(x) = \frac{3}{5} and \cos(x) = \frac{4}{5}.
A. \frac{24}{25}
B. \frac{28}{25}
C. \frac{32}{25}
D. \frac{36}{25}
Question 12
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 2\( 3^{10}-1 \)/\( 3-1 \)
B. 2\( 3^{10}+1 \)/\( 3-1 \)
C. 2\( 3^{10}-1 \)/\( 3+1 \)
D. 2\( 3^{10}+1 \)/\( 3+1 \)
Question 13
Solve the inequality \frac{x^2 - 4x - 5}{x^2 - 6x + 8} > 0.
A. \left\( -\infty, -1\right \) \cup \left\( 2, \infty\right \)
B. \left\( -\infty, 2\right \) \cup \left\( 5, \infty\right \)
C. \left\( -\infty, -1\right \) \cup \left\( 2, 5\right \)
D. \left\( -\infty, 5\right \) \cup \left\( 8, \infty\right \)
Question 14
A right circular cone has a height of 15 cm and a base radius of 8 cm. If the volume of the cone is 200\pi\text{ cm}^3, what is the value of x in the equation \( x + 2 \)^2 = 64?
A. 2
B. 4
C. 6
D. 8
Question 15
Find the derivative of the function f(x) = 3x^2 + 2x - 5.
A. 6x + 2
B. 6x + 2
C. 6x + 2
D. 6x + 2

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