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POST UTME BOWEN UNIVERSITY 2022 Mathematics | Objective

Are you preparing for POST UTME BOWEN UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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

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

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

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

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

Determine the value of $x$ in the equation $2^x + 5^x = 3^x + 7^x$.

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 7

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

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

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

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

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

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

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

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

Find the equation of the line pas\sing 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

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

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

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

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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