POST UTME DELSU 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( \frac{x+2}{x^2-4x-5} > 0 \) for \( x in \( -infty, infty \ \) ).
A. \( -infty, -1 \) cup (5, infty)
B. \( -infty, -5 \) cup \( -1, infty \)
C. \( -infty, -5 \) cup \( -1, 5 \)
D. \( -infty, -1 \) cup \( -5, 5 \)
Question 2
The equation of a circle with center (2, 3) and radius 4 is given by \( x - 2 \)^2 + \( y - 3 \)^2 = 16. Find the equation of the circle with center (6, 7) and radius 3.
A. \( x - 6 \)^2 + \( y - 7 \)^2 = 9
B. \( x - 6 \)^2 + \( y - 7 \)^2 = 16
C. \( x - 6 \)^2 + \( y - 7 \)^2 = 25
D. \( x - 6 \)^2 + \( y - 7 \)^2 = 36
Question 3
A circle has a radius of 5 cm. Find the area of the circle.
A. ( 25 pi )
B. ( 50 pi )
C. ( 75 pi )
D. ( 100 pi )
Question 4
Two events A and B are indep\endent. If P(A) = 0.4 and P(B) = 0.6, find P(A ∩ B).
A. 0.2
B. 0.24
C. 0.3
D. 0.36
Question 5
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 ≥ 1
Question 6
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 14
D. 16
Question 7
Convert the decimal number ( 123.45 ) to binary.
A. ( 1111011.011 )
B. ( 1111011.110 )
C. ( 1111011.101 )
D. ( 1111011.0111 )
Question 8
A fair six-sided die is rolled. What is the probability that the number obtained is a multiple of 3?
A. \frac{1}{6}
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{5}{6}
Question 9
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x ) in the interval ( [0, 2pi] ).
A. \( x = \frac{pi}{4} \)
B. \( x = \frac{pi}{2} \)
C. \( x = \frac{3pi}{4} \)
D. \( x = \frac{5pi}{4} \)
Question 10
Find the area under the curve \( y = \frac{1}{x^2+1} \) from \( x = 0 \) to \( x = 1 \).
A. \frac{\pi}{4}
B. \frac{\pi}{2}
C. \frac{\pi}{6}
D. \frac{\pi}{3}
Question 11
A polynomial f(x) has degree 3 and zeros at x = -2, x = 1, and x = 3. Find the polynomial.
A. f(x) = \( x + 2 \)\( x - 1 \)\( x - 3 \)
B. f(x) = \( x + 2 \)\( x - 1 \)\( x + 3 \)
C. f(x) = \( x + 2 \)\( x - 1 \)\( x - 3 \)
D. f(x) = \( x + 2 \)\( x - 1 \)\( x + 1 \)
Question 12
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 = 4 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
D. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 25 )
Question 13
Solve the system of linear equations \( \begin{cases} x + 2y - 3z = 7 \ 2x - 3y + z = -3 \ 3x + y + 2z = 5 \end{cases} \).
A. \begin{cases} x = 1 \ y = 2 \ z = 3 \end{cases}
B. \begin{cases} x = 2 \ y = 1 \ z = 4 \end{cases}
C. \begin{cases} x = 3 \ y = 4 \ z = 5 \end{cases}
D. \begin{cases} x = 4 \ y = 3 \ z = 2 \end{cases}
Question 14
Solve the vector equation \( overrightarrow{a} = egin{pmatrix} 2 \ 3 \end{pmatrix} \) and \( overrightarrow{b} = egin{pmatrix} 4 \ 5 \end{pmatrix} \). Find the magnitude of \( overrightarrow{a} + overrightarrow{b} \).
A. \( \sqrt{2^2 + 3^2 + 4^2 + 5^2} \)
B. \( \sqrt{2^2 + 3^2 - 4^2 - 5^2} \)
C. \( \sqrt{2^2 + 3^2 + 4^2 - 5^2} \)
D. \( \sqrt{2^2 + 3^2 - 4^2 + 5^2} \)
Question 15
Find the determinant of the matrix [egin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}].
A. 0
B. 1
C. 2
D. 3

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: