POST UTME UNILORIN 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A company produces x units of a product, where the \cost of production is given by the function ( C(x) = 2x^2 + 5x + 1 ). Find the marginal \cost when x = 10.
A. 51
B. 52
C. 53
D. 54
Question 2
A random variable X has a probability distribution given by P\( X = 1 \) = 0.3, P\( X = 2 \) = 0.4, and P\( X = 3 \) = 0.3. What is the expected value of X?
A. 1.1
B. 1.2
C. 1.3
D. 1.4
Question 3
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 4
Find the area under the curve \( y = \frac{1}{x^2} \) from x = 1 to x = 2.
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 5
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 16
B. 32
C. 64
D. 128
Question 6
Solve the matrix equation \\begin{bmatrix} 1 & 2 \\ 3 & 4 \\end{bmatrix} \\begin{bmatrix} x \\ y \\end{bmatrix} = \\begin{bmatrix} 5 \\ 6 \\end{bmatrix}.
A. x = 1, y = 2
B. x = 2, y = 3
C. x = 3, y = 4
D. x = 4, y = 5
Question 7
In a set of 10 consecutive integers, the sum of the first and last terms is 57. If the sum of the first and last terms of another set of 10 consecutive integers is 67, what is the difference between the two sets?
A. 20
B. 30
C. 40
D. 50
Question 8
Find the determinant of the matrix \[ \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \].
A. 0
B. 1
C. 2
D. 3
Question 9
Find the value of \( \log_{10} \( 1000 \ \) )
A. 3
B. 4
C. 5
D. 6
Question 10
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -1 \) or \( x < \frac{3}{2} \)
C. \( x > -1 \) or \( x > \frac{3}{2} \)
D. \( x > -1 \) or \( x < \frac{3}{2} \)
Question 11
Find the area under the curve of \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 2 \).
A. 0.5
B. 1
C. 1.5
D. 2
Question 12
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 6
B. 12
C. 18
D. 24
Question 13
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. y = 2x - 1
B. y = 2x + 1
C. y = x + 2
D. y = x - 2
Question 14
A circle has a radius of 4 units and a center at (0, 0). Find the equation of the circle.
A. x^2 + y^2 = 16
B. x^2 + y^2 = 32
C. x^2 + y^2 = 64
D. x^2 + y^2 = 128
Question 15
A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?
A. 0.8413
B. 0.8413
C. 0.8413
D. 0.8413

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