POST UTME LAUTECH 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A rec\tangular solid has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Calculate its surface area.
A. 240 cm^2
B. 260 cm^2
C. 280 cm^2
D. 300 cm^2
Question 2
A circle has a radius of 4 cm. Find its area.
A. 50.24 cm^2
B. 50.27 cm^2
C. 50.31 cm^2
D. 50.35 cm^2
Question 3
A circle has a radius of 5 cm. Find the area of the circle.
A. \pi (5)^2
B. 2\pi (5)
C. \pi (5)^3
D. 10\pi (5)
Question 4
Find the derivative of the function ( f(x) = \frac{x^2 + 2x - 3}{x^2 - 4} ) u\sing the quotient rule.
A. \frac{\( x^2 - 4 \)\( 2x + 2 \) - \( x^2 + 2x - 3 \)(2x)}{\( x^2 - 4 \)^2}
B. \frac{\( x^2 + 2x - 3 \)\( 2x - 4 \) - \( x^2 - 4 \)\( 2x + 2 \)}{\( x^2 - 4 \)^2}
C. \frac{\( x^2 + 2x - 3 \)\( 2x + 4 \) - \( x^2 - 4 \)\( 2x - 2 \)}{\( x^2 - 4 \)^2}
D. \frac{\( x^2 + 2x - 3 \)\( 2x - 2 \) - \( x^2 - 4 \)\( 2x + 4 \)}{\( x^2 - 4 \)^2}
Question 5
A random sample of 25 students from a university had a mean height of 170 cm with a s\tandard deviation of 5 cm. If the population s\tandard deviation is 6 cm, calculate the s\tandard error of the mean.
A. 2.083 cm
B. 2.5 cm
C. 3.125 cm
D. 3.75 cm
Question 6
Solve the inequality \( x^2 - 4x + 4 geq 0 \).
A. x \leq 2
B. x \geq 2
C. x < 2
D. x > 2
Question 7
Find the sum of the first 8 terms of the arithmetic progression 1, 3, 5, ...
A. 32
B. 34
C. 36
D. 38
Question 8
Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \).
A. 1
B. -1
C. 2
D. 5
Question 9
A matrix A is given by \begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix}. Find the determinant of A.
A. 0
B. 1
C. 2
D. 3
Question 10
Find the area under the curve \( y = \frac{1}{2}x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 6
C. 8
D. 10
Question 11
A water \tank has a height of 10 m and a base radius of 4 m. Find the volume of water in the \tank.
A. \frac{1}{3} \pi (4)^2 (10)
B. \frac{1}{3} \pi (4)^3 (10)
C. \frac{1}{3} \pi (4)^2 (5)
D. \frac{1}{3} \pi (4)^3 (5)
Question 12
Find the determinant of the matrix \( \begin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 1 & 2 \end{bmatrix} \).
A. 0
B. 1
C. 2
D. 3
Question 13
Find the derivative of the function f(x) = \sin(x) + 2x.
A. \cos(x) + 2
B. \sin(x) + 2
C. 2x + 1
D. x^2 + 2
Question 14
Find the value of x in the equation \( \frac{1}{x} + \frac{1}{2} = \frac{3}{4} \).
A. 4
B. 6
C. 8
D. 10
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( -∞, -1 \) ∪ (3, ∞)
B. \( -∞, 1 \) ∪ (3, ∞)
C. \( -∞, -1 \) ∪ (1, ∞)
D. \( -∞, 3 \) ∪ (1, ∞)

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