POST UTME COAL CITY UNIVERSITY 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram of exam scores is shown below. Find the mean score.
A. 60
B. 70
C. 80
D. 90
Question 2
Find the area under the curve y = x^2 + 2x - 3 from x = 0 to x = 3.
A. 18
B. 20
C. 22
D. 24
Question 3
A histogram of exam scores is shown below. Find the mean of the scores.
A. 60
B. 70
C. 80
D. 90
Question 4
Solve the matrix equation $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix}$.
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 1, y = 1
D. x = 2, y = 2
Question 5
A circle with center (0, 0) and radius 5 passes through the point (3, 4). Find the equation of the circle.
A. \( x^2 + y^2 = 25 \)
B. \( x^2 + y^2 = 16 \)
C. \( x^2 + y^2 = 9 \)
D. \( x^2 + y^2 = 4 \)
Question 6
Two events ( A ) and ( B ) are indep\endent. If ( P(A) = 0.3 ) and ( P(B) = 0.4 ), find ( P(A cap B) ).
A. 0.12
B. 0.24
C. 0.36
D. 0.48
Question 7
Let \( S = {1, 2, 3, 4, 5} \) be a set of integers. If ( A ) is a subset of ( S ) such that ( A ) contains exactly two elements, find the number of possible subsets of ( A ).
A. 4
B. 5
C. 6
D. 7
Question 8
A set A is defined as A = {x ∈ ℝ | x^2 < 4}. Find the set A.
A. {x ∈ ℝ | x < 2}
B. {x ∈ ℝ | x > 2}
C. {x ∈ ℝ | x < 1}
D. {x ∈ ℝ | x > 1}
Question 9
Find the value of $\int_0^1 x^2 dx$.
A. 1/3
B. 1/2
C. 2/3
D. 1
Question 10
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 48\pi cm^3
B. 64\pi cm^3
C. 80\pi cm^3
D. 96\pi cm^3
Question 11
In a geometric sequence with first term 3 and common ratio 2, find the sum of the first five terms.
A. 3 + 6 + 12 + 24 + 48
B. 3 + 6 + 12 + 24 + 40
C. 3 + 6 + 12 + 24 + 32
D. 3 + 6 + 12 + 24 + 36
Question 12
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 13
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 3124
B. 3142
C. 3162
D. 3184
Question 14
Solve the inequality $|x - 2| > 3$.
A. \( -∞, -1 \) ∪ (4, ∞)
B. \( -∞, 1 \) ∪ (4, ∞)
C. \( -∞, -1 \) ∪ (1, 4)
D. \( -∞, 1 \) ∪ (1, 4)
Question 15
Let ( f(x) = \frac{1}{x^2 + 1} ). Find \( int_{-\frac{pi}{2}}^{\frac{pi}{2}} f\( x \ \) , dx ).
A. 0
B. 1
C. π
D. 2π

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