POST UTME UNN 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers rolled is $7$?
A. \frac{1}{6}
B. \frac{1}{12}
C. \frac{1}{24}
D. \frac{1}{36}
Question 2
Solve the inequality \( 2x^2 - 5x - 3 > 0 \).
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, -2 \) \cup \( 2, \infty \)
D. \( -\infty, -4 \) \cup \( 4, \infty \)
Question 3
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix} ].
A. -2
B. 2
C. 4
D. 6
Question 4
In the complex plane, let $z_1 = 2 + 3i$ and $z_2 = 4 - 5i$. Find the value of $|z_1 + z_2|$.
A. 10
B. 12
C. 15
D. 20
Question 5
Let $S$ be the set of all positive integers $n$ such that $n^2 - 4n + 3$ is a multiple of $5$. Find the value of $\sum_{n \in S} n$.
A. 10
B. 15
C. 20
D. 25
Question 6
A company produces two products, A and B. The profit from the sale of one unit of product A is ₦100, and the profit from the sale of one unit of product B is ₦120. If the company produces 20 units of product A and 15 units of product B, what is the total profit?
A. ₦2500
B. ₦2800
C. ₦3000
D. ₦3200
Question 7
Solve for x in the equation \( \tan\( x \ \) = \frac{1}{\sqrt{3}} ).
A. 30°
B. 60°
C. 45°
D. 90°
Question 8
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. 48\pi cm^3
B. 64\pi cm^3
C. 96\pi cm^3
D. 128\pi cm^3
Question 9
A binary operation ( odot ) on the set of real numbers is defined as \( a odot b = a^2 + b^2 \). Find the value of ( x ) such that \( x odot \( x-1 \ \) = 4 ).
A. x = 2
B. x = -1
C. x = 1
D. x = 3
Question 10
A geometric progression is defined by \( a_n = 2a_{n-1} \) with \( a_1 = 2 \). Find the sum of the first 5 terms of the progression.
A. \( 62 \ \)
B. \( 63 \ \)
C. \( 64 \ \)
D. \( 65 \ \)
Question 11
A set ( A ) contains the elements ( { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } ). Find the number of subsets of ( A ) that contain exactly 3 elements.
A. \( 2^3 \ \)
B. \( 3^3 \ \)
C. \( 10 \ \)
D. \( 5 \ \)
Question 12
A circle with center $C$ and radius $r$ passes through the points $A$ and $B$. If $AB = 6$ and $\angle ACB = 60^\circ$, find the value of $r$.
A. 3
B. 4
C. 6
D. 8
Question 13
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 2197
B. 2187
C. 2177
D. 2167
Question 14
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10^4
B. 10^8
C. 10^12
D. 10^16
Question 15
Solve the equation \( \log_{10} \( x^2 \ \) = 4 ) for x.
A. 10
B. -10
C. 2
D. -2

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: