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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2025 Mathematics | Objective

Are you preparing for POST UTME JOSEPH AYO BABALOLA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Find the equation of the circle with center at ((2,3)) and radius 4.

Correct A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 \)

B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 \)

C. \( x - 2 \ \)^2 + \( y - 2 \)^2 = 16 \)

D. \( x - 3 \ \)^2 + \( y - 3 \)^2 = 16 \)

Correct Answer: A

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Question 2

Solve for x in the equation \( 2x^2 + 5x - 3 = 0 \).

Correct A. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -3 \ \)}}{2(2)} \)

B. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \ \)(3)}}{2(2)} \)

C. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -1 \ \)}}{2(2)} \)

D. \( x = \frac{-5 \pm \sqrt{5^2 - 4\( 2 \)\( -2 \ \)}}{2(2)} \)

Correct Answer: A

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Question 3

Find the area under the curve \( y = x^2 - 2x + 1 \) from \( x = 0 \) to \( x = 2 \).

Correct A. \( \frac{4}{3} \ \)

B. \( \frac{2}{3} \ \)

C. \( \frac{1}{3} \ \)

D. \( \frac{1}{2} \ \)

Correct Answer: A

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Question 4

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

A. \( \frac{1}{6} \ \)

B. \( \frac{1}{3} \ \)

C. \( \frac{2}{3} \ \)

Correct D. \( \frac{5}{6} \ \)

Correct Answer: D

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Question 5

Solve the system of equations \( x + y = 2 \) and \( 2x - 3y = - 5 \).

Correct A. \( x = \frac{3}{5}, y = \frac{7}{5} \ \)

B. \( x = \frac{7}{5}, y = \frac{3}{5} \ \)

C. \( x = \frac{3}{5}, y = - \frac{7}{5} \ \)

D. \( x = - \frac{7}{5}, y = \frac{3}{5} \ \)

Correct Answer: A

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Question 6

Find the area under the curve y = x^2 + 2x + 1 from x = 0 to x = 3.

Correct A. 27

B. 30

C. 33

D. 36

Correct Answer: A

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Question 7

A solid cone has a height of 10 cm and a base radius of 4 cm. Find the volume of the cone.

A. 200\pi

Correct B. 250\pi

C. 300\pi

D. 350\pi

Correct Answer: B

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Question 8

The mean of 5 numbers is 12. If one of the numbers is 15, find the sum of the remaining 4 numbers.

A. 45

Correct B. 48

C. 51

D. 54

Correct Answer: B

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Question 9

Find the equation of the circle with center \( -2, 3 \) and radius 4.

Correct A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16

C. \( x + 3 \)^2 + \( y - 2 \)^2 = 16

D. \( x - 3 \)^2 + \( y + 2 \)^2 = 16

Correct Answer: A

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Question 10

Solve the equation \sin^2 x + \cos^2 x = 1 for x.

Correct A. x = \frac{\pi}{4}

B. x = \frac{\pi}{2}

C. x = \frac{3\pi}{4}

D. x = \frac{5\pi}{4}

Correct Answer: A

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Question 11

Let X and Y be indep\endent events with P(X) = 0.4 and P(Y) = 0.6. Find P(X ∩ Y) u\sing the formula for indep\endent events.

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.64

Correct Answer: A

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Question 12

Find the magnitude of the vector \overrightarrow{a} = <2, 3, -1>.

A. 1

Correct B. \sqrt{14}

C. 2\sqrt{7}

D. 3\sqrt{2}

Correct Answer: B

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Question 13

Solve the quadratic equation x^2 + 5x + 6 = 0.

Correct A. -2, -3

B. -1, -4

C. -3, 2

D. -2, 3

Correct Answer: A

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Question 14

Find the derivative of the function f(x) = x^3 - 2x^2 + 5x - 1.

Correct A. 3x^2 - 4x + 5

B. x^2 - 2x + 1

C. 2x^2 - 3x + 2

D. x^2 + 2x - 3

Correct Answer: A

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Question 15

Solve the trigonometric equation \sin(x) = \cos(x).

Correct A. \frac{\pi}{4}

B. \frac{\pi}{2}

C. \frac{3\pi}{4}

D. \frac{5\pi}{4}

Correct Answer: A

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Question 16

In a geometric sequence, the first term is 2 and the common ratio is 3. If the sum of the first 5 terms is 341, find the sum of the next 5 terms.

A. 2048

B. 4096

Correct C. 8192

D. 16384

Correct Answer: C

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Question 17

Solve for x in the equation: \frac{1}{x+2} + \frac{1}{x-3} = \frac{1}{2}

A. 5

Correct B. -2

C. 3

D. -1

Correct Answer: B

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Question 18

A circle has a radius of 4 cm. If the area of the circle is 50.24 cm^2, find the circumference of the circle.

Correct A. 25.12

B. 50.24

C. 100.48

D. 200.96

Correct Answer: A

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Question 19

A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a different score range. If the mean score is 75 and the median score is 80, find the mode of the distribution.

A. 70

B. 75

Correct C. 80

D. 85

Correct Answer: C

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Question 20

Solve for 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 21

Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 22

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

Correct A. x < -1 or x > 3/2

B. x < 1 or x > -3/2

C. x < -3/2 or x > 1

D. x < 3/2 or x > -1

Correct Answer: A

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Question 23

Find the sum of the first 10 terms of the geometric series \( 2 + 6 + 18 + ... \).

A. 1230

B. 1240

Correct C. 1250

D. 1260

Correct Answer: C

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Question 24

Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \).

Correct A. x = 0

B. x = 90

C. x = 180

D. x = 270

Correct Answer: A

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Question 25

Find the equation of the circle with center ( (2, 3) ) and radius 4.

Correct A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16

B. \( x - 3 \)^2 + \( y - 2 \)^2 = 16

C. \( x - 4 \)^2 + \( y - 3 \)^2 = 16

D. \( x - 2 \)^2 + \( y - 4 \)^2 = 16

Correct Answer: A

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