POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2024 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 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1
In a circle of radius 5 cm, a chord of length 8 cm subt\ends an angle of 60° at the centre. Find the area of the sector.
A. 20π cm²
Correct B. 30π cm²
C. 40π cm²
D. 50π cm²

Correct Answer: B

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Question 2
Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.
Correct A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )
B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )
C. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^2} )
D. ( f'(x) = \frac{x}{\( x^2 + 1 \)^2} )

Correct Answer: A

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Question 3
A rec\tangular block measures 5 cm by 3 cm by 2 cm. Find the volume of the block.
Correct A. 30 cm³
B. 40 cm³
C. 50 cm³
D. 60 cm³

Correct Answer: A

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Question 4
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \) u\sing integration.
A. 64
B. 80
Correct C. 96
D. 112

Correct Answer: C

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Question 5
A circle of radius 4 cm is inscribed in a square. Find the area of the square.
A. 16π cm²
B. 32π cm²
Correct C. 64π cm²
D. 128π cm²

Correct Answer: C

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Question 6
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
Correct A. 12166
B. 12346
C. 12456
D. 12566

Correct Answer: A

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Question 7
Solve the inequality \frac{x-1}{x+1} > 0.
Correct A. \( -\infty, -1 \) \cup \( 1, \infty \)
B. \( -\infty, 1 \) \cup \( 1, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 1, \infty \)

Correct Answer: A

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Question 8
Find the equation of the line pas\sing through the points (2, 3) and (4, 5).
Correct A. y - 3 = \frac{2}{2} \( x - 2 \)
B. y - 5 = \frac{1}{2} \( x - 4 \)
C. y - 2 = \frac{3}{2} \( x - 3 \)
D. y - 4 = \frac{1}{2} \( x - 5 \)

Correct Answer: A

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Question 9
A binary operation \ast is defined as follows: a \ast b = a^2 + b^2. Find the value of 2 \ast 3.
Correct A. 13
B. 14
C. 15
D. 16

Correct Answer: A

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Question 10
A histogram is shown below. What is the median of the data?
A. 20
Correct B. 25
C. 30
D. 35

Correct Answer: B

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Question 11
Find the volume of the frustum of a cone with height 8cm, lower base radius 4cm, and upper base radius 2cm.
A. 256\pi cm^3
B. 512\pi cm^3
Correct C. 768\pi cm^3
D. 1024\pi cm^3

Correct Answer: C

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Question 12
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 13
Find the derivative of the function f(x) = \frac{x^2}{x^2 + 1} u\sing the chain rule.
Correct A. \frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x^3}{\( x^2 + 1 \)^2}
C. \frac{2x^2}{\( x^2 + 1 \)^2}
D. \frac{2x^3 + 2x}{\( x^2 + 1 \)^2}

Correct Answer: A

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Question 14
Solve the system of equations u\sing substitution: x + y = 4 and x - y = 2.
Correct A. x = 3, y = 1
B. x = 1, y = 3
C. x = 2, y = 2
D. x = 4, y = 0

Correct Answer: A

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Question 15
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 12
B. 15
Correct C. 18
D. 20

Correct Answer: C

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Question 16
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
Correct B. -1
C. 2
D. 3

Correct Answer: B

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Question 17
A sequence is defined by \( a_n = 2n + 1 \). Find the sum of the first 5 terms.
Correct A. 15
B. 25
C. 35
D. 45

Correct Answer: A

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Question 18
A function ( f(x) = x^2 + 2x - 3 ) is given. Find the derivative of the function.
Correct A. 2x + 2
B. x^2 + 2
C. 2x - 2
D. x^2 - 2

Correct Answer: A

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Question 19
A set of numbers is given: {1, 2, 3, 4, 5}. Find the probability of selecting a prime number.
A. 0.2
B. 0.4
C. 0.6
Correct D. 0.8

Correct Answer: D

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Question 20
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find the volume of the cylinder.
A. 800\pi
Correct B. 1000\pi
C. 1200\pi
D. 1600\pi

Correct Answer: B

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