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POST UTME SUMMIT UNIVERSITY 2025 Mathematics | Objective

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Question 1 View Details

A solid right circular cone has a height of 20 cm and a base radius of 8 cm. Find the volume of the cone in terms of π.

A. 64\pitext{ cm}^3

Correct B. 128\pitext{ cm}^3

C. 256\pitext{ cm}^3

D. 512\pitext{ cm}^3

Correct Answer: B

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Question 2 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 5:4, how many loaves of whole wheat bread are sold per day?

A. 200

B. 250

Correct C. 300

D. 350

Correct Answer: C

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Question 3 View Details

A circle has a diameter of 10 cm. Find the area of the circle in terms of π.

A. 25\pitext{ cm}^2

B. 50\pitext{ cm}^2

C. 75\pitext{ cm}^2

Correct D. 100\pitext{ cm}^2

Correct Answer: D

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Question 4 View Details

A sequence is defined as: $a_n = 2n^2 + 3n - 1$. Find the 10th term of the sequence.

A. 191

B. 201

Correct C. 211

D. 221

Correct Answer: C

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Question 5 View Details

A set of numbers is defined as:$S =$\{x | $x = 2n$, n \in mathbb{Z}\}. Find the value of $x\\(mathbb{Z}}. Find the value of$ such that $x \in S$ and $x > 10$.

A. 12

B. 14

Correct C. 16

D. 18

Correct Answer: C

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Question 6 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 7 View Details

A circle has a diameter of 10 cm. Find the area of the circle.

A. 78.5

B. 78.54

Correct C. 78.5

D. 78.54

Correct Answer: C

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Question 8 View Details

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

A. $-\infty, -1$ \cup $3, \infty$

B. $-\infty, -3$ \cup $1, \infty$

Correct C. $-\infty, -1$ \cup $1, \infty$

D. $-\infty, -3$ \cup $3, \infty$

Correct Answer: C

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Question 9 View Details

Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm.

Correct A. 30

B. 30

C. 30

D. 30

Correct Answer: A

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Question 10 View Details

A sequence is defined by the formula $a_n = 2n + 1$. Find the 5th term of the sequence.

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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Question 11 View Details

Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.

Correct A. 104,783

B. 104,783

C. 104,783

D. 104,783

Correct Answer: A

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Question 12 View Details

Solve the inequality $\frac{x-1}{x+1}$\$) > 0.$

Correct A. $x < -1$\text{ or } $x > 1$

B. $x < -1$\text{ or } $x > 1$

C. $x < -1$\text{ or } $x > 1$

D. $x < -1$\text{ or } $x > 1$

Correct Answer: A

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Question 13 View Details

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

Correct A. 56

B. 56

C. 56

D. 56

Correct Answer: A

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Question 14 View Details

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} 1 \ 2 \end{bmatrix}

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

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

Correct Answer: A

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Question 15 View Details

Find the value of \log_{10} (1000).

Correct A. 3

B. 3

C. 3

D. 3

Correct Answer: A

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Question 16 View Details

Solve the inequality ($\frac{x+2}{\(x^2-4}$$> 0$\) for x in \$(frac{x+2}{\(x^2-4}$$> 0$$-infty$, infty \ ).

Correct A. $-2, -1$ ∪ (1, ∞)

B. $-∞, -2$ \cup $-1, 1$\)

C. $-∞, -2$ ∪ (1, ∞)

D. $-2, 1$

Correct Answer: A

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Question 17 View Details

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

Correct A. $y = 2x - 1$

B. $y = 2x + 1$

C. $y = x - 1$

D. $y = x + 1$

Correct Answer: A

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Question 18 View Details

A binary operation ( ast ) is defined as $a ast b = a^2 + b^2$. Find ( 2 ast 3 ).

Correct A. 13

B. 14

C. 15

D. 16

Correct Answer: A

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Question 19 View Details

Solve the quadratic equation $x^2 + 4x + 4 = 0$.

Correct A. $x = -2$

B. $x = -1$

C. $x = 0$

D. $x = 1$

Correct Answer: A

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Question 20 View Details

A circle with center ( (0, 0) ) and radius ( 4 ) has an equation of the form $x^2 + y^2 = r^2$. Find the value of ( r ).

Correct A. 4

B. 8

C. 16

D. 32

Correct Answer: A

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Question 21 View Details

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

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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Question 22 View Details

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

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

B. x > -1 or $x < 3/2$\)

C. $x < 3/2$\) or x > -1

D. $x > 3/2$\) or x < -1

Correct Answer: A

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Question 23 View Details

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are red?

Correct A. $1/4$

B. $1/2$

C. $3/4$

D. $2/3$

Correct Answer: A

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Question 24 View Details

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

A. 0

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 25 View Details

A company produces two products, A and B. The profit from product A is 10 per unit, and the profit from 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

Correct B. $2000

C. $2500

D. $3000

Correct Answer: B

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