POST UTME COVENANT UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( x^2 - 6x + 8 \geq 0 \) and express the solution set in interval notation.
A. \[\( -\infty, 2 \) \cup (4, \infty)\]
B. \[\( -\infty, 2 \) \cup (4, \infty)\]
C. \[\( -\infty, 2 \) \cup (4, \infty)\]
D. \[\( -\infty, 2 \) \cup (4, \infty)\]
Question 2
A die is rolled twice. Find the probability that the sum of the two numbers is 7.
A. \frac{1}{6}
B. \frac{1}{12}
C. \frac{1}{24}
D. \frac{1}{36}
Question 3
If \( f(x) = \frac{1}{x^2 + 1} \), find \( f'(x) \).
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 4
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, calculate their total daily profit in naira.
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 5
Solve for x in the equation 2^x + 2^x = 128.
A. 4
B. 5
C. 6
D. 7
Question 6
A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.
A. 5
B. 7
C. 9
D. 11
Question 7
A car travels from city A to city B at an average speed of 60 km/h. If the dis\tance between the two cities is 240 km, how long does the journey take in hours?
A. 4
B. 4.5
C. 5
D. 5.5
Question 8
Evaluate the definite integral \( \int_0^1 x^2 dx \).
A. 1/3
B. 1/2
C. 2/3
D. 1
Question 9
Find the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 2 \).
A. 0.693
B. 0.693
C. 1.098
D. 1.098
Question 10
Solve the equation \( x^3 - 6x^2 + 11x - 6 = 0 \) by factoring.
A. \( x - 1 \)\( x - 2 \)\( x - 3 \ \) = 0 )
B. \( x - 1 \)\( x - 3 \)\( x + 2 \ \) = 0 )
C. \( x - 2 \)\( x - 3 \)\( x + 1 \ \) = 0 )
D. \( x - 1 \)\( x + 2 \)\( x + 3 \ \) = 0 )
Question 11
Find the area of the region bounded by the curves \( y = x^2 \) and \( y = 2x \) in the first quadrant.
A. \( A = \frac{4}{3} \)
B. \( A = \frac{2}{3} \)
C. \( A = \frac{1}{3} \)
D. \( A = \frac{1}{2} \)
Question 12
Find the sum of the first 5 terms of the geometric series \( 2 + 6 + 18 + ... \).
A. 62
B. 64
C. 66
D. 68
Question 13
A set of 5 numbers has a mean of 10 and a s\tandard deviation of 2. If a new number is added to the set, the mean increases to 12. What is the value of the new number?
A. 16
B. 18
C. 20
D. 22
Question 14
Solve the inequality \( 2x^2 + 5x - 3 \geq 0 \).
A. \left( -\infty, \frac{-5 - \sqrt{61}}{4} \right] \cup \left[ \frac{-5 + \sqrt{61}}{4}, \infty \right]
B. \left( -\infty, \frac{-5 + \sqrt{61}}{4} \right] \cup \left[ \frac{-5 - \sqrt{61}}{4}, \infty \right]
C. \left( -\infty, \frac{-5 - \sqrt{61}}{4} \right] \cup \left[ \frac{-5 + \sqrt{61}}{4}, \infty \right]
D. \left( -\infty, \frac{-5 + \sqrt{61}}{4} \right] \cup \left[ \frac{-5 - \sqrt{61}}{4}, \infty \right]
Question 15
Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].
A. 0
B. -1
C. 1
D. 2

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