POST UTME BOWEN UNIVERSITY 2022 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the differential equation \( \frac{dy}{dx} = 2x \).
A. \( y = x^2 + C \)
B. \( y = -x^2 + C \)
C. \( y = x^2 - C \)
D. \( y = -x^2 - C \)
Question 2
Solve the system of linear equations \( egin{cases} 2x + 3y = 7 \ x - 2y = -3 \end{cases} \).
A. (1, 2)
B. (2, 1)
C. (3, 4)
D. (4, 5)
Question 3
Find the volume of the solid formed by revolving the region bounded by the curves $y = x^2 - 4x + 3$ and $y = 2x - 3$ about the x-axis.
A. \frac{13}{3}\pi
B. \frac{14}{3}\pi
C. \frac{15}{3}\pi
D. \frac{16}{3}\pi
Question 4
A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?
A. ( 18 ) days
B. ( 20 ) days
C. ( 22 ) days
D. ( 24 ) days
Question 5
Find the equation of the line pas\sing through the points ( (1,2) ) and ( (3,4) ).
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = -2x + 1 \)
D. \( y = -2x - 1 \)
Question 6
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \( \frac{1}{2} \)
B. \( \frac{3}{8} \)
C. \( \frac{5}{8} \)
D. \( \frac{3}{4} \)
Question 7
In the circuit below, determine the current flowing through the 4-Ω resistor. \( egin{array}{c} includegraphics[width=0.1\textwidth]{circuit_diagram} \ \end{array} \)
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 8
Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, 54, ... ).
A. 1040
B. 1080
C. 1120
D. 1160
Question 9
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
A. ₦1250
B. ₦1255
C. ₦1260
D. ₦1265
Question 10
Find the sum of the first 5 terms of the arithmetic progression ( 1, 3, 5, ... ).
A. ( 15 )
B. ( 25 )
C. ( 35 )
D. ( 45 )
Question 11
Find the area of the region bounded by the curves $y = x^2 - 4x + 3$ and $y = 2x - 3$.
A. 10
B. 12
C. 15
D. 18
Question 12
Solve the system of equations $\begin{cases} x^2 + y^2 = 4 \ x + y = 2 \end{cases}$.
A. (0, 2)
B. (1, 1)
C. (2, 0)
D. (0, 0)
Question 13
Solve the inequality $\frac{x-2}{x+1} > 0$.
A. \( -\infty, -1 \) \cup \( 2, \infty \)
B. \( -\infty, -1 \) \cup \( 1, \infty \)
C. \( -\infty, 1 \) \cup \( 2, \infty \)
D. \( -\infty, 1 \) \cup \( 2, \infty \)
Question 14
Find the area of the triangle with vertices ( A(1, 2), B(3, 4), C(2, 1) ).
A. 3
B. 4
C. 5
D. 6
Question 15
Determine the value of $x$ in the equation $2^x + 5^x = 3^x + 7^x$.
A. 1
B. 2
C. 3
D. 4

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