POST UTME MADONNA UNIVERSITY 2021 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. y = 2x - 1
B. y = 2x + 1
C. y = x - 1
D. y = x + 1
Question 2
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 64
B. 128
C. 256
D. 512
Question 3
Solve the equation \tan^2 x + 2 \tan x - 6 = 0.
A. \tan x = -3
B. \tan x = 2
C. \tan x = -2
D. \tan x = 3
Question 4
Solve the equation \[\sin^2 x + \cos^2 x = 1\] for x.
A. x = \frac{\pi}{4}
B. x = \frac{\pi}{2}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}
Question 5
Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 6
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 59048
B. 59049
C. 59050
D. 59051
Question 7
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.2
B. 0.24
C. 0.28
D. 0.32
Question 8
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \) u\sing the quadratic formula.
A. \( x \leq -3 \) or \( x \geq 1 \)
B. \( x \leq -1 \) or \( x \geq 3 \)
C. \( x \leq 1 \) or \( x \geq 3 \)
D. \( x \leq -3 \) or \( x \geq 1 \)
Question 9
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}{6}
D. \frac{\pi}{3}
Question 10
Find the area of the circle with radius 4.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 11
A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the mean height of all students in the university.
A. 170.1 cm, 180.9 cm
B. 168.5 cm, 182.5 cm
C. 169.5 cm, 181.5 cm
D. 171.5 cm, 179.5 cm
Question 12
Solve the inequality \(x^2 - 4x + 4 \geq 0\).
A. x \leq 2
B. x \geq 2
C. x < 2
D. x > 2
Question 13
Find the equation of the circle pas\sing through the points (1, 2), (2, 3), and (3, 4).
A. \( x^2 + y^2 - 4x - 6y + 9 = 0 \)
B. \( x^2 + y^2 + 4x - 6y + 9 = 0 \)
C. \( x^2 + y^2 - 4x + 6y + 9 = 0 \)
D. \( x^2 + y^2 + 4x + 6y + 9 = 0 \)
Question 14
Solve the inequality \frac{x^2 - 4}{x^2 - 9} > 0.
A. \( -3, -1 \) \cup (1, 3)
B. \( -3, -1 \) \cup (1, 3) \cup \( -\infty, 3 \) \cup \( 3, \infty \)
C. \( -3, -1 \) \cup (1, 3) \cup \( -\infty, 3 \) \cup \( 3, \infty \)
D. \( -3, -1 \) \cup (1, 3)
Question 15
Solve the inequality \( x^2 - 4x - 5 > 0 \).
A. \( -\infty, -1 \) \cup \( 5, \infty \)
B. \( -\infty, -5 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 5, \infty \)
D. \( -\infty, -5 \) \cup \( 1, \infty \)

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