Exam Body

Year

Subject

Paper Type

POST UTME AL-HIKMAH UNIVERSITY 2024 Mathematics | Objective

Are you preparing for POST UTME AL-HIKMAH 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.

Practice these randomly selected questions to test your readiness.

Question 1

A researcher conducted a study on the relationship between the number of hours spent studying and the final exam scores of students. The data collected is shown in the histogram below. What is the mean number of hours spent studying by the students?

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 2

Solve for 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 3

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

Correct B. $2000

C. $2500

D. $3000

Correct Answer: B

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

Question 4

A random variable X has a probability distribution given by the following table. What is the expected value of X?

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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

Question 5

A curve is defined by the equation $ y = \frac{1}{x} $. Find the area under the curve between x = 1 and x = 2.

Correct A. 0.5

B. 1

C. 1.5

D. 2

Correct Answer: A

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

Question 6

Let X be a random variable with probability density function (pdf) given by f(x) = $ \frac{1}{2}x^2 $ for 0 ≤ x ≤ 2. Find the probability that X is greater than 1.

A. 0.25

Correct B. 0.5

C. 0.75

D. 1

Correct Answer: B

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

Question 7

Solve the inequality $ \frac{x^2 - 4}{x^2 - 9} > 0 $ for x ≠ ±3.

Correct A. $ -∞, -3 $ ∪ $ -3, 3 $ ∪ (3, ∞)

B. $ -∞, -3 $ ∪ (3, ∞)

C. $ -3, 3 $

D. $ -∞, 3 $

Correct Answer: A

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

Question 8

Find the area under the curve y = $ \frac{1}{x^2} $ from x = 1 to x = 2.

Correct A. 0.5

B. 1

C. 1.5

D. 2

Correct Answer: A

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

Question 9

Let S be the set of all real numbers x such that x^2 - 4x + 3 = 0. Find the set S.

Correct A. {1, 3}

B. {-1, 3}

C. {1, -3}

D. {-1, -3}

Correct Answer: A

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

Question 10

Find the sum of the infinite geometric series $ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ldots $.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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

Question 11

Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].

A. 0

B. -1

Correct C. 1

D. 2

Correct Answer: C

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

Question 12

A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.

Correct A. 30

B. 40

C. 50

D. 60

Correct Answer: A

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

Question 13

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

A. 0

B. \frac{\pi}{2}

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

D. \frac{\pi}{6}

Correct Answer: C

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

Question 14

Two events, A and B, are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P$ A \cap B $.

Correct A. 0.2

B. 0.4

C. 0.6

D. 0.8

Correct Answer: A

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

Question 15

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

A. -2

Correct B. -3

C. 1

D. 2

Correct Answer: B

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

Question 16

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

Correct A. ( 12 )

B. ( 16 )

C. ( 20 )

D. ( 24 )

Correct Answer: A

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

Question 17

In the set $ A = { 1, 2, 3, 4, 5 } $, find the number of subsets that contain exactly two elements.

A. ( 10 )

Correct B. ( 15 )

C. ( 20 )

D. ( 25 )

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 curve $ y = x^2 $ and the line $ x = 2 $ about the x-axis.

A. ( 32 pi )

B. ( 64 pi )

Correct C. ( 128 pi )

D. ( 256 pi )

Correct Answer: C

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

Question 19

Find the equation of the circle with center ( (3, 4) ) and radius ( 5 ).

Correct A. $ x - 3 \ $^2 + $ y - 4 $^2 = 25 )

B. $ x - 3 \ $^2 + $ y - 4 $^2 = 30 )

C. $ x - 3 \ $^2 + $ y - 4 $^2 = 35 )

D. $ x - 3 \ $^2 + $ y - 4 $^2 = 40 )

Correct Answer: A

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

Question 20

Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, 54, ldots ).

A. ( 5894 )

B. ( 5896 )

Correct C. ( 5898 )

D. ( 5900 )

Correct Answer: C

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

Question 21

Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 + x^2}} ) u\sing the chain rule.

A. f'(x) = \frac{-x}{$ 1 + x^2 $^{3/2}}

Correct B. f'(x) = \frac{x}{$ 1 + x^2 $^{3/2}}

C. f'(x) = \frac{1}{$ 1 + x^2 $^{3/2}}

D. f'(x) = \frac{-1}{$ 1 + x^2 $^{3/2}}

Correct Answer: B

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

Question 22

Solve the inequality $ 2x^2 + 5x - 3 > 0 $ u\sing the quadratic formula.

Correct A. x < -1 or x > \frac{3}{2}

B. x > -1 or x < \frac{3}{2}

C. x < -1 or x < \frac{3}{2}

D. x > -1 or x > \frac{3}{2}

Correct Answer: A

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

Question 23

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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

Question 24

Find the determinant of the matrix $ \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} $.

A. 2

Correct B. 4

C. 6

D. 8

Correct Answer: B

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

Question 25

Solve the system of equations: $ x + y = 4 $ and $ 2x - y = 3 $.

A. x = 1, y = 3

Correct B. x = 2, y = 2

C. x = 3, y = 1

D. x = 4, y = 0

Correct Answer: B

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