POST UTME JOSEPH AYO BABALOLA 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 = x + 1
B. y = x - 1
C. y = 2x - 3
D. y = 2x + 3
Question 2
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 104,783
B. 104,783
C. 104,783
D. 104,783
Question 3
A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?
A. 200
B. 250
C. 300
D. 350
Question 4
Find the sum of the infinite geometric series 1 + 2x + 4x^2 + 8x^3 + ...
A. 1/\( 1-2x \)
B. 1/\( 1+x \)
C. 1/\( 1-2x \)^2
D. 1/\( 1+x \)^2
Question 5
Solve the inequality x^2 + 4x + 4 > 0.
A. \( -\infty, -2 \) \cup \( 2, \infty \)
B. \( -\infty, 2 \) \cup \( 2, \infty \)
C. \( -\infty, -2 \) \cup \( -2, 2 \)
D. \( -\infty, 2 \) \cup \( 2, \infty \)
Question 6
Find the determinant of the matrix \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}.
A. 0
B. 1
C. 2
D. 3
Question 7
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 8
Solve for x in the equation \( \frac{1}{x+1} + \frac{1}{x-2} = \frac{1}{2} \).
A. x = -3
B. x = 4
C. x = -4
D. x = 3
Question 9
Find the volume of the solid formed by revolving the region bounded by the parabola \( y = x^2 \), the line \( x = 1 \), and the x-axis about the x-axis.
A. π/6
B. π/4
C. π/2
D. π/3
Question 10
In the diagram below, the curve is a circle with center at the origin. If the point P(4, 3) lies on the circle, find the equation of the \tangent at P.
A. \text{y = 3x - 12}
B. \text{y = -3x + 12}
C. \text{y = 3x + 12}
D. \text{y = -3x - 12}
Question 11
A histogram of exam scores is shown below. If the total number of students is 50, what is the mean score?
A. 35
B. 40
C. 45
D. 50
Question 12
Find the volume of the solid formed by revolving the region bounded by the curve y = x^2, the x-axis, and the line x = 2 about the x-axis.
A. \frac{32}{3}
B. \frac{64}{3}
C. \frac{128}{3}
D. \frac{256}{3}
Question 13
Solve the differential equation \frac{dy}{dx} = \frac{y}{x} + \frac{1}{x^2} with the initial condition y(1) = 1.
A. y = \frac{1}{x} + \frac{1}{x^2}
B. y = \frac{1}{x} - \frac{1}{x^2}
C. y = \frac{1}{x^2} + \frac{1}{x}
D. y = \frac{1}{x} + \frac{1}{x^3}
Question 14
Find the volume of the solid formed by revolving the region bounded by the curves y = x^2 and y = 4 - x^2 about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 15
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is either red or blue?
A. P(red or blue) = \frac{9}{12}
B. P(red or blue) = \frac{7}{12}
C. P(red or blue) = \frac{5}{12}
D. P(red or blue) = \frac{3}{12}

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