POST UTME DELSU 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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
Question 3
Solve for ( x ) in the equation \( 2^x = 8 \).
A. \( x = 2 \)
B. \( x = 3 \)
C. \( x = 4 \)
D. \( x = 5 \)
Question 4
Find the value of [\log_{10} \( x^2 + 1 \) = 4].
A. \frac{1}{10}
B. \frac{1}{100}
C. \frac{1}{1000}
D. \frac{1}{10000}
Question 5
Solve the system of linear equations u\sing matrices: \( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 3 \ 7 \end{bmatrix} \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 6
Solve the equation [x^3 - 6x^2 + 11x - 6 = 0].
A. 1, 2, 3
B. 1, 2, -3
C. 2, 3, -1
D. -1, 2, 3
Question 7
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. \( y = -2x + 1 \)
D. \( y = -2x - 1 \)
Question 8
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 9
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 10
A set A has 5 elements, and a set B has 3 elements. Find the number of elements in the union of sets A and B.
A. 8
B. 10
C. 12
D. 15
Question 11
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 12
In a set of consecutive integers, the sum of the first 7 terms is 196. If the first term is denoted by 'a', find the value of 'a'.
A. 13
B. 14
C. 15
D. 16
Question 13
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 14
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 15
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}

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