Exam Body

Year

Subject

Paper Type

POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2021 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 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve the inequality $ 2x^2 + 5x - 3 > 0 $.

Correct A. $ -∞, -1 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (1, ∞)

C. $ -∞, 1 $ ∪ (3, ∞)

D. $ -∞, -3 $ ∪ (1, ∞)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Find the derivative of the function ( f(x) = 3x^2 \sin (2x) ) u\sing 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

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

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

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 is $15 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

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

A. π/6

B. π/4

Correct C. π/2

D. π/3

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

Solve the equation $ x^3 + 2x^2 - 7x + 12 = 0 $ u\sing the Rational Root Theorem.

Correct A. x = -3

B. x = -1

C. x = 3

D. x = 4

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Find the equation of the line pas\sing 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support