POST UTME BSU 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The histogram below shows the distribution of exam scores. Find the mean of the scores.
A. 50
B. 60
C. 70
D. 80
Question 2
A set A is defined as \( A = { x in mathbb{R} : x^2 - 4x + 3 > 0 } \). Find the set A.
A. \( A = { x in mathbb{R} : x < 1 \text{ or } x > 3 } \)
B. \( A = { x in mathbb{R} : x < 1 \text{ or } x > 3 } \)
C. \( A = { x in mathbb{R} : x < 1 \text{ or } x > 3 } \)
D. \( A = { x in mathbb{R} : x < 1 \text{ or } x > 3 } \)
Question 3
A set ( S ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( S ) that contain exactly 3 elements.
A. ( 10 )
B. ( 15 )
C. ( 20 )
D. ( 25 )
Question 4
In the diagram below, the circle has a radius of 4 cm. Find the area of the sector OAB, where ∠AOB = 60°.
A. 10π cm^2
B. 20π cm^2
C. 30π cm^2
D. 40π cm^2
Question 5
Find the volume of the solid formed by rotating the region bounded by \( y = x^2 \) and \( y = 4 - x \) about the x-axis.
A. \( \frac{32}{3} pi \)
B. \( \frac{64}{3} pi \)
C. \( \frac{128}{3} pi \)
D. \( \frac{256}{3} pi \)
Question 6
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. \( y = \frac{5 - 3}{4 - 2}x + \frac{3 cdot 4 - 5 cdot 2}{4 - 2} \)
B. \( y = \frac{5 - 3}{4 - 2}x + \frac{3 cdot 4 - 5 cdot 2}{4 - 2} \)
C. \( y = \frac{5 - 3}{4 - 2}x + \frac{3 cdot 4 - 5 cdot 2}{4 - 2} \)
D. \( y = \frac{5 - 3}{4 - 2}x + \frac{3 cdot 4 - 5 cdot 2}{4 - 2} \)
Question 7
In a game of chance, a player rolls a fair six-sided die. If the player rolls an even number, they win twice the amount they bet. If the player rolls an odd number, they lose their bet. What is the expected value of the game?
A. 0
B. 1/6
C. 1/3
D. 2/3
Question 8
Find the sum of the infinite geometric series [ \sum_{n=1}^\infty \frac{1}{2^n} \].
A. 1
B. \frac{1}{2}
C. \frac{2}{3}
D. \frac{3}{4}
Question 9
Solve the system of equations \( egin{cases} x + y + z = 6 \ 2x + 3y + z = 12 \ x + 2y + 3z = 10 \end{cases} \).
A. \( x = 1, y = 2, z = 3 \)
B. \( x = 2, y = 1, z = 3 \)
C. \( x = 3, y = 1, z = 2 \)
D. \( x = 1, y = 3, z = 2 \)
Question 10
Find the area of the triangle with vertices ( A(1, 2), B(3, 4), C(2, 1) ).
A. ( 5 )
B. ( 10 )
C. ( 15 )
D. ( 20 )
Question 11
A function f(x) is defined as f(x) = 2x^2 + 3x - 1. Find the derivative of f(x) u\sing the chain rule.
A. 4x + 3
B. 2x + 3
C. 4x^2 + 3x
D. 2x^2 + 3x
Question 12
Solve the inequality \( \frac{x}{x+2} > \frac{3}{x-1} \) for \( x in \( -infty, -2 \ \) cup \( -2, 1 \) cup (1, infty) ).
A. \( x < -2 \) or \( x > 1 \)
B. \( x > -2 \) and \( x < 1 \)
C. \( x < -2 \) or \( x = 1 \)
D. \( x > -2 \) and \( x > 1 \)
Question 13
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
C. 300
D. 350
Question 14
The sequence [ \{ 1, 2, 4, 8, \ldots \} \] is a geometric sequence. Find the next term in the sequence.
A. 16
B. 32
C. 64
D. 128
Question 15
Solve the system of equations: x + y = 4 and x^2 + y^2 = 16.
A. x = 2, y = 2
B. x = 2, y = 4
C. x = 4, y = 2
D. x = 4, y = 4

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