POST UTME BOWEN UNIVERSITY 2022 Mathematics | Objective

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Question 1 View Details
Determine the value of x in the equation \(\log_{10} x^2 \\)\(= 4 ).\)
A. 10
B. 100
C. 1000
Correct D. 10000

Correct Answer: D

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Question 2 View Details
Find the sum of the first 10 terms of the geometric series ( 2, 6, 18, 54, ... ).
Correct A. 1040
B. 1080
C. 1120
D. 1160

Correct Answer: A

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Question 3 View Details
Solve the system of linear equations \(egin{cases} 2x + 3y = 7 \ x - 2y = -3 \end{cases}\).
Correct A. (1, 2)
B. (2, 1)
C. (3, 4)
D. (4, 5)

Correct Answer: A

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Question 4 View Details
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
Correct B. 1 A
C. 1.5 A
D. 2 A

Correct Answer: B

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Question 5 View Details
Find the area of the triangle with vertices ( A(1, 2), B(3, 4), C(2, 1) ).
A. 3
B. 4
Correct C. 5
D. 6

Correct Answer: C

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Question 6 View Details
Determine the value of (x\) in the equation \(2^x + 5^x = 3^x + 7^x\\((x) in the equation\).
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

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Question 7 View Details
Find the area of the region bounded by the curves \(y = x^2 - 4x + 3\) and \(y = 2x - 3\).
A. 10
Correct B. 12
C. 15
D. 18

Correct Answer: B

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Question 8 View Details
Solve the inequality \(\frac{x-2}{x+1} > 0\).
Correct A. \(-\infty, -1\) \cup \(2, \infty\)
B. \(-\infty, -1\) \cup \(1, \infty\)
C. \(-\infty, 1\) \cup \(2, \infty\)
D. \(-\infty, 1\) \cup \(2, \infty\)

Correct Answer: A

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Question 9 View Details
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
Correct B. \(\frac{14}{3}\)\)\pi
C. \(\frac{15}{3}\)\)\pi
D. \(\frac{16}{3}\)\)\pi

Correct Answer: B

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Question 10 View Details
Solve the system of equations \(\begin{cases} x^2 + y^2 = 4 \ x + y = 2 \end{cases}\).
A. (0, 2)
Correct B. (1, 1)
C. (2, 0)
D. (0, 0)

Correct Answer: B

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Question 11 View Details
Find the equation of the circle with center at ((2,3)) and radius 4.
Correct A. \(x-2 \\)^2 + \(y-3\)^\(2 = 16\) )
B. \(x+2 \\)^2 + \(y-3\)^\(2 = 16\) )
C. \(x-2 \\)^2 + \(y+3\)^\(2 = 16\) )
D. \(x+2 \\)^2 + \(y+3\)^\(2 = 16\) )

Correct Answer: A

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Question 12 View Details
Solve the inequality \(2x^2 + 5x - 3 > 0\).
Correct A. \(x < -\frac{3}{2}\) or \(x > \frac{1}{2}\)
B. \(x < -\frac{1}{2}\) or \(x > \frac{3}{2}\)
C. \(x < -\frac{3}{2}\) or \(x < \frac{1}{2}\)
D. \(x > -\frac{3}{2}\) or \(x < \frac{1}{2}\)

Correct Answer: A

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Question 13 View Details
Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, ... ).
Correct A. ( 615 )
B. ( 625 )
C. ( 635 )
D. ( 645 )

Correct Answer: A

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Question 14 View Details
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. \(\frac{1}{2}\)
Correct B. \(\frac{3}{8}\)
C. \(\frac{5}{8}\)
D. \(\frac{3}{4}\)

Correct Answer: B

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Question 15 View Details
Find the equation of the line passing through the points ( (1,2) ) and ( (3,4) ).
Correct A. \(y = 2x - 1\)
B. \(y = 2x + 1\)
C. \(y = -2x + 1\)
D. \(y = -2x - 1\)

Correct Answer: A

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Question 16 View Details
Solve the differential equation \(\frac{dy}{dx} = 2x\).
Correct A. \(y = x^2 + C\)
B. \(y = -x^2 + C\)
C. \(y = x^2 - C\)
D. \(y = -x^2 - C\)

Correct Answer: A

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Question 17 View Details
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?
Correct A. ( 18 ) days
B. ( 20 ) days
C. ( 22 ) days
D. ( 24 ) days

Correct Answer: A

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Question 18 View Details
Find the sum of the first 5 terms of the arithmetic progression ( 1, 3, 5, ... ).
Correct A. ( 15 )
B. ( 25 )
C. ( 35 )
D. ( 45 )

Correct Answer: A

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Question 19 View Details
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?
Correct A. ₦1250
B. ₦1255
C. ₦1260
D. ₦1265

Correct Answer: A

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