POST UTME ESUT 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = x^3 - 2x^2 + x - 1 ).
A. 3x^2 - 4x + 1
B. 3x^2 - 4x - 1
C. 3x^2 + 4x + 1
D. 3x^2 + 4x - 1
Question 2
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \( x + 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
Question 3
Solve for x in the equation \( \frac{1}{2} \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 4
Solve the equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 0
D. 1
Question 5
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 6
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 100.48
C. 200.96
D. 50.72
Question 7
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P\( A \cap B \).
A. \boxed{0.24}
B. 0.3
C. 0.4
D. 0.5
Question 8
Find the volume of the frustum of a cone with a height of 10 cm, a lower base radius of 4 cm, and an upper base radius of 2 cm.
A. 100\pi cm^3
B. 150\pi cm^3
C. 200\pi cm^3
D. 250\pi cm^3
Question 9
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. \left\{ \begin{array}{c} x = -2 \ y = -3 \end{array}\right.
B. \left\{ \begin{array}{c} x = -3 \ y = -2 \end{array}\right.
C. \left\{ \begin{array}{c} x = 2 \ y = 3 \end{array}\right.
D. \left\{ \begin{array}{c} x = 3 \ y = 2 \end{array}\right.
Question 10
Solve the trigonometric equation \sin(x) = \cos(x).
A. x = \frac{\pi}{4}
B. x = \\frac{3\\pi}{4}
C. x = \\frac{5\\pi}{4}
D. x = \\frac{7\\pi}{4}
Question 11
Solve the equation 2x^2 + 5x - 3 = 0 u\sing the quadratic formula.
A. 1
B. -1
C. -2
D. 2
Question 12
Find the equation of the circle with center \( -2, 3 \) and radius 4.
A. \boxed{\( x + 2 \)^2 + \( y - 3 \)^2 = 16}
B. \( x - 2 \)^2 + \( y + 3 \)^2 = 16
C. \( x + 2 \)^2 + \( y + 3 \)^2 = 16
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
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
Solve the equation \frac{1}{x + 1} + \frac{1}{x - 1} = \frac{2}{x^2 - 1}.
A. \boxed{x = 2}
B. x = -2
C. x = 1
D. x = -1
Question 15
Solve the system of linear equations \( egin{cases} x + 2y = 3 \ 2x - y = 1 \end{cases} \).
A. \left\{ \begin{array}{c} x = 1 \ y = 1 \end{array}\right.
B. \left\{ \begin{array}{c} x = 2 \ y = 1 \end{array}\right.
C. \left\{ \begin{array}{c} x = 1 \ y = 2 \end{array}\right.
D. \left\{ \begin{array}{c} x = 2 \ y = 2 \end{array}\right.

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