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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2021 Mathematics | Objective

Prepare for your exams with POST UTME JOSEPH AYO BABALOLA UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details

Find 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

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, -3\) ∪ (1, ∞)

C. \(-∞, 1\) ∪ (3, ∞)

D. \(-∞, -3\) ∪ (1, ∞)

Correct Answer: A

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Question 3 View Details

Find the derivative of the function ( f(x) = \(3x^2\) \sin (2x) ) using the product rule.

Correct A. \(6x^2\) \sin (2x) + 12x \cos (2x)

B. 6x \sin (2x) + \(12x^2\) \cos (2x)

C. \(6x^2\) \cos (2x) - 12x \sin (2x)

D. 6x \cos (2x) - \(12x^2\) \sin (2x)

Correct Answer: A

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Question 4 View Details

A right circular cylinder has a height of 10 cm and a radius of 4 cm. Find its volume.

Correct A. 800\pi

B. 1600\pi

C. 3200\pi

D. 6400\pi

Correct Answer: A

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Question 5 View Details

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

Correct A. (1, 3)

B. (3, 1)

C. (2, 1)

D. (1, 2)

Correct Answer: A

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Question 6 View Details

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

Correct A. 8

B. 10

C. 12

D. 14

Correct Answer: A

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Question 7 View Details

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

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 8 View Details

Find the determinant of the matrix \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 9 View Details

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

A. \(1/6\)

B. \(1/3\)

C. \(2/3\)

Correct D. \(5/6\)

Correct Answer: D

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Question 10 View Details

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. \(1/2\)

Correct B. \(2/3\)

C. \(3/4\)

D. \(4/5\)

Correct Answer: B

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Question 11 View Details

Given the vectors θ = 2i + 3j and β\(= i - 2j\), find the magnitude of the vector θ + β.

A. 3.60555

Correct B. 4.47214

C. 5.38516

D. 6.40312

Correct Answer: B

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Question 12 View Details

A survey of 100 students found that 60 students preferred Mathematics, 30 preferred Science, and 10 preferred both. What is the probability that a randomly selected student prefers Mathematics or Science?

A. 0.7

Correct B. 0.75

C. 0.8

D. 0.85

Correct Answer: B

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Question 13 View Details

Find the volume of the solid formed by revolving the region bounded by the curves \(y = x\^2\) and \(y = 4 - x\^2\) about the x-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 14 View Details

A histogram of exam scores is shown below. If the total number of students is 50, what is the mean score?

A. 35

B. 40

Correct C. 45

D. 50

Correct Answer: C

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Question 15 View Details

A company produces two products, A and B. The profit from the sale of product A is 10 per unit, and the profit from the sale of product B is15 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?

A. 1500

B. 2000

Correct C. 2500

D. 3000

Correct Answer: C

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Question 16 View Details

Solve the inequality \(\frac{x^2 - 4}{x + 2} \geq 0\) for ( x in mathbb{R} ).

Correct A. \(-∞, -2\) ∪ [0, ∞)

B. \(-∞, -2\) ∪ (0, ∞)

C. \(-∞, -2\) ∪ [0, 2]

D. \(-∞, 2\)

Correct Answer: A

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Question 17 View Details

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random without replacement, what is the probability that at least one blue ball is drawn?

A. \(1/2\)

Correct B. \(2/3\)

C. \(3/4\)

D. \(4/5\)

Correct Answer: B

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Question 18 View Details

Find the volume of the solid formed by revolving the region bounded by the parabola (y = \(x^2\)\), the line \(x = 1\\((y = x^2), the line\), and the x-axis about the x-axis.

A. π/6

B. π/4

Correct C. π/2

D. π/3

Correct Answer: C

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Question 19 View Details

Solve the equation \(x^3 + 2x^2 - 7x + 12 = 0\) using the Rational Root Theorem.

Correct A. \(x = -3\)

B. \(x = -1\)

C. \(x = 3\)

D. \(x = 4\)

Correct Answer: A

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Question 20 View Details

A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:3, how many loaves of whole wheat bread are sold per day?

A. 200

Correct B. 250

C. 300

D. 350

Correct Answer: B

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Question 21 View Details

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

Correct A. 27

B. 30

C. 33

D. 36

Correct Answer: A

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Question 22 View Details

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

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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Question 23 View Details

Find the sum of the infinite geometric series 1 + 2x + \(4x^2 + 8x^3\) + ...

Correct A. 1/\(1-2x\)

B. 1/\(1+x\)

C. 1/\(1-2x\)^2

D. 1/\(1+x\)^2

Correct Answer: A

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Question 24 View Details

Find the equation of the line passing through the points (2,3) and (4,5).

Correct A. \(y = x + 1\)

B. \(y = x - 1\)

C. \(y = 2x - 3\)

D. \(y = 2x + 3\)

Correct Answer: A

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Question 25 View Details

Solve the inequality \\((x^2 + 4x + 4\)\(> 0.\)\)

Correct A. \(-\infty, -2\) \cup \(2, \infty\)

B. \(-\infty, 2\) \cup \(2, \infty\)

C. \(-\infty, -2\) \cup \(-2, 2\)

D. \(-\infty, 2\) \cup \(2, \infty\)

Correct Answer: A

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