POST UTME DELSU 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram of exam scores for a class of 50 students is shown below. If the mean score is 75, what is the median score?
A. 70
B. 75
C. 80
D. 85
Question 2
A polynomial function is defined as (f(x) = x^3 - 6x^2 + 11x - 6). Find the value of (f(2)).
A. 0
B. 2
C. 4
D. 6
Question 3
Solve the equation $x^2 + 4x + 4 = 0$.
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 4
Solve the inequality \( 2x^2 - 5x - 3 > 0 \) u\sing the quadratic formula.
A. x < -1 or x > 3
B. x > -1 or x < 3
C. x < 1 or x > 3
D. x > 1 or x < 3
Question 5
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, what is their total daily profit?
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 6
A bag contains 5 red marbles, 8 white marbles, and 12 blue marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. \( \frac{3}{5} \)
B. \( \frac{3}{8} \)
C. \( \frac{3}{12} \)
D. \( \frac{3}{25} \)
Question 7
Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{array} ].
A. -2
B. 2
C. -1
D. 1
Question 8
Solve the equation x^2 + 4x + 4 = 0.
A. \left\( -2, \infty\right \)
B. \left\( -\infty, -2\right \)
C. \left\( -\infty, 2\right \)
D. \left\( 2, \infty\right \)
Question 9
Find the derivative of the function $f(x) = \frac{1}{x^2 + 1}$ u\sing the chain rule.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{1}{\( x^2 + 1 \)^2}
D. \frac{1}{\( x^2 + 1 \)^2}
Question 10
Determine the value of x in the equation \( 2x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
A. \( x = -3 \)
B. \( x = 1.5 \)
C. \( x = -1.5 \)
D. \( x = 3 \)
Question 11
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. ( 0 )
B. ( 1 )
C. \( -1 \)
D. ( 2 )
Question 12
Solve the trigonometric equation \( \sin^2\( x \ \) + \cos^2(x) = 1 ) for x in the interval ( [0, 2pi] ).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{3pi}{4} \)
C. \( x = \frac{5pi}{4} \)
D. \( x = \frac{7pi}{4} \)
Question 13
Find the value of k such that the quadratic equation \( x^2 + kx + 16 = 0 \) has equal roots.
A. 4
B. -4
C. 8
D. -8
Question 14
Solve for x in the equation \( \sin^2 x + \cos^2 x = 1 \).
A. \( x = \frac{pi}{2} \)
B. \( x = \frac{pi}{4} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{3}{2} \) or \( x < \frac{1}{2} \)
C. \( x > -\frac{3}{2} \) or \( x < \frac{1}{2} \)
D. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)

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