POST UTME EKSU 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. 1
B. 2
C. 3
D. 4
Question 2
Solve the trigonometric equation [ 2 \sin^2 x + 3 \cos x - 1 = 0 \].
A. \frac{\pi}{6}
B. \frac{\pi}{4}
C. \frac{\pi}{3}
D. \frac{\pi}{2}
Question 3
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 4
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 5
Find the surface area of the sphere with radius 6 cm.
A. 288\pi
B. 360\pi
C. 432\pi
D. 576\pi
Question 6
Solve the equation \( \frac{x}{2} + \frac{3}{4} = \frac{1}{3} x + 2 \) for x.
A. x = 4
B. x = 6
C. x = 8
D. x = 10
Question 7
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x > -1 or x < 3/2
C. x < -1 or x < 3/2
D. x > -1 or x > 3/2
Question 8
Solve for x in the equation [ x^2 + 5x + 6 = 0 ].
A. -2
B. -1
C. 1
D. 2
Question 9
A set of exam scores has a mean of 75 and a s\tandard deviation of 10. If a new score of 90 is added to the set, what is the new mean?
A. 76
B. 77
C. 78
D. 79
Question 10
Solve the equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. 0
B. π/2
C. π
D. 3π/2
Question 11
Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].
A. 0
B. -1
C. 1
D. 2
Question 12
Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).
A. y = x + 1
B. y = x - 1
C. y = -x + 3
D. y = x + 3
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 14
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. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 15
A rec\tangular box has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the surface area of the box.
A. 60
B. 80
C. 100
D. 120

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