POST UTME ESUT 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a probability experiment, two events A and B are indep\endent. If P(A) = 0.3 and P(B) = 0.5, find P(A ∩ B).
A. 0.1
B. 0.15
C. 0.2
D. 0.25
Question 2
Find the sum of the first 10 terms of the geometric progression 3, 6, 12, 24, ...
A. 1240
B. 1245
C. 1247
D. 1249
Question 3
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. 24π cm³
B. 48π cm³
C. 96π cm³
D. 192π cm³
Question 4
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 8
C. 10
D. 12
Question 5
Let ( f(x) = \frac{1}{x^2 + 1} ). Find the value of \( int_{0}^{\frac{pi}{4}} f\( x \ \) , dx ).
A. 0
B. 1
C. \log(2)
D. π/4
Question 6
Find the area under the curve y = x² from x = 0 to x = 4.
A. 64
B. 128
C. 192
D. 256
Question 7
Solve the equation \( x^2 + 4x + 4 = 0 \).
A. -2
B. -1
C. 0
D. 1
Question 8
Find the sum of the first 5 terms of the geometric progression 3, 6, 12, 24, ...
A. 120
B. 150
C. 180
D. 200
Question 9
Solve the inequality x² - 4x - 5 > 0.
A. \( -∞, -1 \) ∪ (5, ∞)
B. \( -∞, -5 \) ∪ (1, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, -5 \) ∪ (5, ∞)
Question 10
A circle passes through the points (2,3) and (4,5). Find the equation of the circle.
A. \( x-3 \)² + \( y-2 \)² = 4
B. \( x-2 \)² + \( y-3 \)² = 4
C. \( x-4 \)² + \( y-5 \)² = 4
D. \( x-5 \)² + \( y-4 \)² = 4

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