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POST UTME REDEEMERS UNIVERSITY 2018 Mathematics | Objective

Are you preparing for POST UTME REDEEMERS 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.

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Question 1

Determine 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

Solve for x in the equation $ 2^x + 2^x = 128 $.

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 3

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

A. 1

B. 2

C. 3

Correct D. 4

Correct Answer: D

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Question 4

A random experiment has two possible outcomes: A and B. The probability of outcome A is 0.4, and the probability of outcome B is 0.6. If the experiment is repeated 100 times, how many times can we expect outcome A to occur?

Correct A. 40

B. 50

C. 60

D. 70

Correct Answer: A

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Question 5

A set of numbers has a mean of 20 and a s\tandard deviation of 5. If the set contains 10 numbers, what is the sum of the numbers?

A. 200

B. 250

C. 300

Correct D. 350

Correct Answer: D

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Question 6

Find the derivative of the function ( f(x) = \frac{1}{2} \log_{10} $ x^2 + 1 $ ) u\sing the chain rule.

A. x \log_{10} $ x^2 + 1 $

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

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

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

Correct Answer: C

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Question 7

A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4, given that the number obtained is an even number?

A. \frac{1}{3}

Correct B. \frac{2}{3}

C. \frac{1}{2}

D. \frac{2}{5}

Correct Answer: B

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Question 8

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

A. \left$ - \frac{5}{4}, \frac{3}{2} \right $

B. \left$ - \infty, - \frac{3}{2} \right $ \cup \left$ \frac{3}{2}, \infty \right $

C. \left$ - \frac{3}{2}, \frac{3}{2} \right $

Correct D. \left$ - \infty, \frac{3}{2} \right $ \cup \left$ \frac{3}{2}, \infty \right $

Correct Answer: D

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Question 9

Find the area under the curve $ y = x^2 - 2x + 1 $ from $ x = 0 $ to $ x = 2 $ u\sing integration.

A. \frac{1}{3}

B. \frac{2}{3}

Correct C. \frac{4}{3}

D. \frac{5}{3}

Correct Answer: C

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Question 10

A circle with center ( C(2, 3) ) and radius $ r = 4 $ is drawn on a coordinate plane. What is the equation of the circle?

Correct A. $ x - 2 $^2 + $ y - 3 $^2 = 16

B. $ x + 2 $^2 + $ y - 3 $^2 = 16

C. $ x - 2 $^2 + $ y + 3 $^2 = 16

D. $ x + 2 $^2 + $ y + 3 $^2 = 16

Correct Answer: A

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Question 11

Determine the value of x in the equation $ \frac{1}{2}x^2 + 5x - 3 = 0 $.

A. -2

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 12

Solve for y in the equation $ y = \frac{1}{2} \log_{10} \( x^2 \ $ + 3 ).

Correct A. \frac{1}{2} \log_{10} $ x^2 $ + 3

B. \frac{1}{2} \log_{10} $ x^2 $ - 3

C. \frac{1}{2} \log_{10} $ x^2 $ + 5

D. \frac{1}{2} \log_{10} $ x^2 $ - 5

Correct Answer: A

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Question 13

Find the equation of the circle with center $ -2, 3 $ and radius 4.

Correct A. $ x + 2 $^2 + $ y - 3 $^2 = 16

B. $ x - 2 $^2 + $ y + 3 $^2 = 16

C. $ x + 2 $^2 + $ y + 3 $^2 = 16

D. $ x - 2 $^2 + $ y - 3 $^2 = 16

Correct Answer: A

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Question 14

Solve the inequality $ 2x - 5 > 3 $.

Correct A. x > 4

B. x < 4

C. x > 2

D. x < 2

Correct Answer: A

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Question 15

Find the value of x in the equation $ x^2 + 4x + 4 = 0 $.

A. -2

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 16

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 17

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

Correct A. x < -1 or x > 3/2

B. x < -1 or x < 3/2

C. x > -1 or x > 3/2

D. x > -1 or x < 3/2

Correct Answer: A

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Question 18

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

A. 0

B. 4

Correct C. -4

D. 8

Correct Answer: C

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Question 19

Find the equation of the circle with center $ -2, 3 \ $ ) and radius ( 4 ).

Correct A. $ x + 2 $^2 + $ y - 3 $^2 = 16

B. $ x - 2 $^2 + $ y + 3 $^2 = 16

C. $ x + 2 $^2 + $ y + 3 $^2 = 16

D. $ x - 2 $^2 + $ y - 3 $^2 = 16

Correct Answer: A

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Question 20

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

A. 6

B. 8

Correct C. 10

D. 12

Correct Answer: C

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Question 21

Let $X$ and $Y$ be indep\endent random variables with probability density functions $f_X(x) = 2x$ for $0 < x < 1$ and $f_Y(y) = 3y^2$ for $0 < y < 1$. Find $P$ X > Y $$.

Correct A. \frac{1}{4}

B. \frac{1}{2}

C. \frac{3}{4}

D. \frac{5}{8}

Correct Answer: A

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Question 22

Find the sum of the infinite geometric series $\sum_{n=1}^\infty \frac{2}{3^n}$.

A. \frac{2}{3}

Correct B. \frac{4}{9}

C. \frac{6}{9}

D. \frac{8}{9}

Correct Answer: B

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Question 23

In the diagram below, $ABCD$ is a rec\tangle, $E$ is the midpoint of $AB$, and $F$ is the midpoint of $CD$. If $AB = 6$ and $CD = 8$, find the area of the shaded region.

A. 12

Correct B. 16

C. 20

D. 24

Correct Answer: B

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Question 24

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

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

B. $x < -1$ or $x > 2$

C. $x < 2$ or $x > 5$

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

Correct Answer: A

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Question 25

Find the equation of the circle with center $(2, 3)$ and radius $4$.

Correct A. $$ x - 2 $^2 + $ y - 3 $^2 = 16$

B. $$ x - 2 $^2 + $ y - 3 $^2 = 20$

C. $$ x - 2 $^2 + $ y - 3 $^2 = 24$

D. $$ x - 2 $^2 + $ y - 3 $^2 = 28$

Correct Answer: A

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