POST UTME UNIBEN 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 9 )
Question 2
A set A contains 5 elements, and a set B contains 3 elements. If the intersection of A and B contains 2 elements, find the number of elements in the union of A and B.
A. 8
B. 9
C. 10
D. 11
Question 3
Solve the inequality |x - 2| > 3.
A. x < -1 or x > 5
B. x < 1 or x > 5
C. x < 1 or x > 2
D. x < -1 or x > 2
Question 4
Find the derivative of the function ( f(x) = \frac{x^2}{x+1} ) u\sing the quotient rule.
A. \frac{2x\( x+1 \) - x^2}{\( x+1 \)^2}
B. \frac{x^2}{\( x+1 \)^2}
C. \frac{2x}{\( x+1 \)^2}
D. \frac{2x\( x+1 \) + x^2}{\( x+1 \)^2}
Question 5
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 59048
B. 59049
C. 59050
D. 59051
Question 6
Find the equation of the plane pas\sing through the points (1, 2, 3), (2, 3, 4), and (3, 4, 5).
A. x + y + z = 6
B. x - y + z = 6
C. x + y - z = 6
D. x - y - z = 6
Question 7
A random variable X has a probability distribution given by P\( X = 1 \) = 0.4, P\( X = 2 \) = 0.3, P\( X = 3 \) = 0.2, and P\( X = 4 \) = 0.1. If two indep\endent random variables X and Y have the same probability distribution as X, find the probability that X + Y is greater than 5.
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 8
A vector θ has magnitude 5 and direction 30°. What is the magnitude of the vector 2θ?
A. 5
B. 10
C. 15
D. 20
Question 9
Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 10
A sequence is defined as: \[ a_n = \frac{1}{n} + \frac{1}{n+1} \]. Find the sum of the first 5 terms of the sequence.
A. 2.5
B. 2.6
C. 2.7
D. 2.8
Question 11
Find the derivative of the function f(x) = \( 2x^2 + 3x - 1 \) / \( x^2 - 4 \).
A. \( 4x + 3 \) / \( x^2 - 4 \)^2
B. \( 4x + 3 \) / \( x^2 - 4 \)
C. \( 4x + 3 \) / \( x^2 - 4 \)^2 + \( 2x + 1 \) / \( x^2 - 4 \)
D. \( 4x + 3 \) / \( x^2 - 4 \)^2 - \( 2x + 1 \) / \( x^2 - 4 \)
Question 12
Given that the mean of a set of 5 numbers is 15, and the median is 10, what is the sum of the two middle numbers?
A. 20
B. 30
C. 40
D. 50
Question 13
A sequence is defined by the recurrence relation a_n = 2a_\( n-1 \) + 1, with a_1 = 3. Find the sum of the first 5 terms of the sequence.
A. 3 + 7 + 15 + 31 + 63
B. 3 + 7 + 15 + 31 + 63 + 127
C. 3 + 7 + 15 + 31 + 63 + 127 + 255
D. 3 + 7 + 15 + 31 + 63 + 127 + 255 + 511
Question 14
Find the area of the region bounded by the curves y = x^2, y = 0, and x = 2.
A. 8/3
B. 16/3
C. 32/3
D. 64/3
Question 15
A 3x3 matrix A has the following elements: a11=2, a12=3, a13=4, a21=5, a22=6, a23=7, a31=8, a32=9, a33=10. What is the determinant of A?
A. 0
B. 10
C. 20
D. 30

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: