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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2024 Mathematics | Objective

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Question 1 View Details

In a circle of radius 5 cm, a chord of length 8 cm subtends 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 View Details

Find the derivative of the function ( f(x) = \(\frac{1}{x^2 + 1}\)\)\) ) using 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 View Details

A rectangular 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 View Details

Find the area under the curve \(y = x^2\) from \(x = 0\) to \(x = 4\) using integration.

A. 64

B. 80

Correct C. 96

D. 112

Correct Answer: C

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Question 5 View Details

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 View Details

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 View Details

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 View Details

Find the equation of the line passing 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 View Details

A binary operation ast is defined as follows: a \ast \(b = a\\(ast is defined as follows: a ast \^2 + b^2\). 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 View Details

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 View Details

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 View Details

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 View Details

Find the derivative of the function f(x) = \(\frac{x^2}{x\)^2 + 1}\)\) using 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 View Details

Solve the system of equations using 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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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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