POST UTME RSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area under the curve y = x^2 + 1 from x = 0 to x = 2.
A. 7
B. 9
C. 11
D. 13
Question 2
A set A contains 5 elements, and a set B contains 3 elements. What is the number of elements in the union of sets A and B?
A. 8
B. 10
C. 12
D. 15
Question 3
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 1/2.
A. 1.9375
B. 1.96875
C. 1.984375
D. 2.000000
Question 4
In the circuit below, what is the equivalent resis\tance between points A and B?
A. 2Ω
B. 4Ω
C. 6Ω
D. 8Ω
Question 5
Find the area under the curve \( y = \sin^2 x \) from \( x = 0 \) to \( x = \frac{pi}{2} \).
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{3}
D. \frac{\pi}{6}
Question 6
Find the area under the curve \( y = \frac{1}{2}x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 60
C. 80
D. 100
Question 7
Find the value of ( x ) in the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 8
Find the area under the curve \( y = \frac{1}{2}x^2 - 3x + 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 42
C. 44
D. 46
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, -3 \) ∪ (1, ∞)
C. \( -∞, 1 \) ∪ (3, ∞)
D. \( -∞, -3 \) ∪ (1, ∞)
Question 10
Solve the matrix equation \( \begin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 4 \end{bmatrix} \).
A. \begin{bmatrix} 1 \ 1 \end{bmatrix}
B. \begin{bmatrix} 2 \ 2 \end{bmatrix}
C. \begin{bmatrix} 3 \ 3 \end{bmatrix}
D. \begin{bmatrix} 4 \ 4 \end{bmatrix}
Question 11
Find the derivative of ( f(x) = \frac{x^2}{x^2 + 1} ) u\sing the quotient rule.
A. \( \frac{2x\( x^2 + 1 \ \) - 2x^2}{\( x^2 + 1 \)^2} )
B. \( \frac{2x^2}{\( x^2 + 1 \ \)^2} )
C. \( \frac{2x^2 + 2}{\( x^2 + 1 \ \)^2} )
D. \( \frac{2x^2 - 2}{\( x^2 + 1 \ \)^2} )
Question 12
A box contains 5 red balls and 3 blue balls. If 2 balls are randomly selected, find the probability that both balls are red.
A. \( \frac{5}{8} \)
B. \( \frac{5}{14} \)
C. \( \frac{3}{14} \)
D. \( \frac{1}{4} \)
Question 13
A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Question 14
Solve the inequality \( |x - 2| > 3 \).
A. \( x < -1 \) or \( x > 5 \)
B. \( x > -1 \) or \( x < 5 \)
C. \( x < 1 \) or \( x > 5 \)
D. \( x > 1 \) or \( x < 5 \)
Question 15
Solve the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. (1, 2, 3)
B. (1, 2, 6)
C. (1, 3, 6)
D. (2, 3, 6)

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