Exam Body

Year

Subject

Paper Type

POST UTME RHEMA UNIVERSITY 2018 Mathematics | Objective

Are you preparing for POST UTME RHEMA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

In a survey of 100 students, the mean height of the students is 170 cm. If the mean height of 20 students is 180 cm, and the mean height of the remaining 80 students is 160 cm, what is the mean height of all 100 students?

A. 168 cm

Correct B. 170 cm

C. 172 cm

D. 174 cm

Correct Answer: B

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

Question 2

A rec\tangular solid has a length of 10 cm, a width of 5 cm, and a height of 8 cm. If the solid is cut into smaller cubes with a side length of 2 cm, how many cubes will be formed?

A. 20

B. 25

Correct C. 30

D. 35

Correct Answer: C

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

Question 3

A car travels from city A to city B at an average speed of 60 km/h and returns from city B to city A at an average speed of 40 km/h. What is the average speed of the car for the entire trip?

A. 48 km/h

B. 50 km/h

Correct C. 52 km/h

D. 55 km/h

Correct Answer: C

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

Question 4

A company produces two products, X and Y. Product X requires 2 hours of labor and 3 hours of machine time, while product Y requires 3 hours of labor and 2 hours of machine time. If the company has 120 hours of labor and 180 hours of machine time available, how many units of product X and product Y should the company produce to maximize profit?

A. (20, 30)

B. (30, 20)

Correct C. (25, 25)

D. (35, 15)

Correct Answer: C

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

Question 5

A random variable X has a probability distribution given by P$ X = 1 $ = 0.3, P$ X = 2 $ = 0.4, and P$ X = 3 $ = 0.3. What is the expected value of X?

A. 1.1

Correct B. 1.3

C. 1.5

D. 1.7

Correct Answer: B

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

Question 6

Determine the value of x in the equation $ \sin^2\( x \ $ + \cos^2(x) = 1 ) if $ \sin\( x \ $ = \frac{3}{5} ).

Correct A. $ \frac{4}{5} $

B. $ \frac{3}{4} $

C. $ \frac{5}{4} $

D. $ \frac{4}{3} $

Correct Answer: A

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

Question 7

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

Correct A. $ \frac{pi}{4} $

B. $ \frac{pi}{2} $

C. $ \frac{pi}{3} $

D. $ \frac{pi}{6} $

Correct Answer: A

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

Question 8

Solve the inequality $ |x - 2| > 3 $.

Correct A. $ x < -1 $ or $ x > 5 $

B. $ x < 1 $ or $ x > 5 $

C. $ x < -1 $ or $ x > 4 $

D. $ x < 1 $ or $ x > 4 $

Correct Answer: A

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

Question 9

Find the sum of the first 5 terms of the geometric series ( 2, 6, 18, ... ).

Correct A. ( 242 )

B. ( 242 )

C. ( 242 )

D. ( 242 )

Correct Answer: A

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

Question 10

Solve the system of equations $ x + y = 4 $ and $ xy = 5 $.

Correct A. $ x = 1, y = 3 $

B. $ x = 2, y = 2 $

C. $ x = 3, y = 1 $

D. $ x = 4, y = 0 $

Correct Answer: A

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

Question 11

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24\pi cm^3

Correct B. 48\pi cm^3

C. 96\pi cm^3

D. 192\pi cm^3

Correct Answer: B

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

Question 12

Solve the system of equations u\sing matrices:\n\begin{align*}\n2x+3y&=7\\nx-2y&=-3\n\end{align*}

Correct A. \begin{pmatrix}1\-1\end{pmatrix}

B. \begin{pmatrix}2\-3\end{pmatrix}

C. \begin{pmatrix}3\-2\end{pmatrix}

D. \begin{pmatrix}4\-1\end{pmatrix}

Correct Answer: A

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

Question 13

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

Correct A. \frac{-2x}{$ x^2+1 $^2}

B. \frac{-2x}{$ x^2+1 $^3}

C. \frac{2x}{$ x^2+1 $^2}

D. \frac{2x}{$ x^2+1 $^3}

Correct Answer: A

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

Question 14

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

A. \frac{1}{6}

B. \frac{1}{3}

C. \frac{2}{3}

Correct D. \frac{5}{6}

Correct Answer: D

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

Question 15

Solve the equation \sin^2 x + \cos^2 x = 1 for x in the interval [0, 2\pi].

Correct A. x=\frac{\pi}{2}

B. x=\frac{3\pi}{2}

C. x=\frac{\pi}{4}

D. x=\frac{5\pi}{4}

Correct Answer: A

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

Question 16

Find the value of x in the equation $ \tan x = \frac{1}{\sqrt{3}} $ if ( x ) lies in the first quadrant.

Correct A. 30°

B. 45°

C. 60°

D. 90°

Correct Answer: A

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

Question 17

Solve the matrix equation $ \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix} $.

Correct A. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}

B. \\begin{bmatrix} 2 \\ 3 \\end{bmatrix}

C. \\begin{bmatrix} 3 \\ 4 \\end{bmatrix}

D. \\begin{bmatrix} 4 \\ 5 \\end{bmatrix}

Correct Answer: A

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

Question 18

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

Correct A. -\frac{2x}{$ x^2 + 1 $^2}

B. \frac{2x}{$ x^2 + 1 $^2}

C. \frac{1}{$ x^2 + 1 $^2}

D. -\frac{1}{$ x^2 + 1 $^2}

Correct Answer: A

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

Question 19

Evaluate the definite integral $ \int_0^1 \frac{1}{x^2 + 1} dx $.

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

B. \frac{\pi}{2}

C. \frac{\pi}{6}

D. \frac{\pi}{8}

Correct Answer: A

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

Question 20

Solve the system of equations $ x + y = 3 $ and $ x - y = 1 $.

Correct A. \\begin{bmatrix} 2 \\ 1 \\end{bmatrix}

B. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}

C. \\begin{bmatrix} 3 \\ 0 \\end{bmatrix}

D. \\begin{bmatrix} 0 \\ 3 \\end{bmatrix}

Correct Answer: A

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

Question 21

Find the value of x in the equation $ \sin x = \frac{1}{2} $ if ( x ) lies in the second quadrant.

A. 120°

Correct B. 150°

C. 180°

D. 210°

Correct Answer: B

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

Question 22

Solve the matrix equation $ \begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix} $.

Correct A. \\begin{bmatrix} 1 \\ 2 \\end{bmatrix}

B. \\begin{bmatrix} 2 \\ 3 \\end{bmatrix}

C. \\begin{bmatrix} 3 \\ 4 \\end{bmatrix}

D. \\begin{bmatrix} 4 \\ 5 \\end{bmatrix}

Correct Answer: A

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

Question 23

Find the derivative of the function ( f(x) = \frac{1}{x^3 + 1} ) u\sing the chain rule.

A. -\frac{3x^2}{$ x^3 + 1 $^2}

B. \frac{3x^2}{$ x^3 + 1 $^2}

C. \frac{1}{$ x^3 + 1 $^2}

D. -\frac{1}{$ x^3 + 1 $^2}

Correct Answer: VIEW ANSWER

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

Question 24

In the number system with base 8, what is the value of the digit $x$ such that $x_8 + 12_8 = 23_8$?

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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

Question 25

Find the value of $\frac{1}{2} \log_{10} $ x^2 $ = 4$.

A. 10

B. 100

Correct C. 1000

D. 10000

Correct Answer: C

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