POST UTME BELLS UNIVERSITY 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a survey of 100 students, the mean height was 170 cm with a s\tandard deviation of 5 cm. If the heights of the students are normally distributed, what is the probability that a randomly selected student will be taller than 180 cm?
A. 0.1587
B. 0.3413
C. 0.4772
D. 0.6827
Question 2
Solve the inequality \[x^2 - 4x + 3 \geq 0\].
A. \text{The solution to the inequality is } x \leq 1 \text{ or } x \geq 3.
B. \text{The solution to the inequality is } x \leq 3 \text{ or } x \geq 1.
C. \text{The solution to the inequality is } x \leq 1 \text{ and } x \geq 3.
D. \text{The solution to the inequality is } x \leq 3 \text{ and } x \geq 1.
Question 3
A sequence is given by the following equation: [ a_n = 2n + 1 ]. What is the 5th term of the sequence?
A. 11
B. 13
C. 15
D. 17
Question 4
Convert the \fraction \[\frac{3}{4}\] to a decimal.
A. \text{The decimal equivalent is } 0.75.
B. \text{The decimal equivalent is } 0.5.
C. \text{The decimal equivalent is } 0.25.
D. \text{The decimal equivalent is } 0.1.
Question 5
A circle has equation \( x-2 \ \)^2 + \( y-3 \)^2 = 4 ). Find the coordinates of the center of the circle.
A. (2,3)
B. (3,2)
C. (4,3)
D. (3,4)
Question 6
Solve the system of equations: \( x + y = 4 \) and \( 2x - 3y = - 6 \).
A. \( x = 2, y = 2 \)
B. \( x = 3, y = 1 \)
C. \( x = 4, y = 0 \)
D. \( x = 5, y = -1 \)
Question 7
Determine the mean of the following set of numbers: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 6
B. 8
C. 10
D. 12
Question 8
Find the mean of the numbers 2, 4, 6, 8, 10.
A. \text{The mean is } 6.
B. \text{The mean is } 7.
C. \text{The mean is } 8.
D. \text{The mean is } 9.
Question 9
Find the derivative of the function \( f(x) = 3x^2 \sin x \).
A. \( f'(x) = 3x^2 \cos x + 6x \sin x \)
B. \( f'(x) = 3x^2 \sin x \)
C. \( f'(x) = 3x \cos x \)
D. \( f'(x) = 3x \sin x \)
Question 10
Find the area under the curve \[y = \frac{1}{x^2 + 1}\] from \[x = 0\] to \[x = 1\].
A. \text{The area under the curve is } \frac{\pi}{2}.
B. \text{The area under the curve is } \frac{\pi}{4}.
C. \text{The area under the curve is } \frac{\pi}{6}.
D. \text{The area under the curve is } \frac{\pi}{8}.
Question 11
A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even, the coin is flipped twice; otherwise, the coin is flipped only once. What is the probability that at least one of the coin flips shows heads?
A. 1/4
B. 1/2
C. 3/4
D. 2/3
Question 12
A dep\endent event is defined as an event whose probability of occurrence is affected by the occurrence of another event. What is the probability of drawing a red card from a deck of 52 cards if the first card drawn is a red card?
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 13
Determine the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 14
The mean of five numbers is 20. If one of the numbers is increased by 10, what will be the new mean?
A. 20
B. 21
C. 22
D. 23
Question 15
Find the sum of the first 10 terms of the geometric series $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \ldots$.
A. 1
B. 2
C. 3
D. 4

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: