POST UTME DELSU 2018 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. \( x > \frac{-5 + \sqrt{73}}{4} \) or \( x < \frac{-5 - \sqrt{73}}{4} \)
B. \( x < \frac{-5 + \sqrt{73}}{4} \) or \( x > \frac{-5 - \sqrt{73}}{4} \)
C. \( x > \frac{-5 - \sqrt{73}}{4} \) or \( x < \frac{-5 + \sqrt{73}}{4} \)
D. \( x < \frac{-5 - \sqrt{73}}{4} \) or \( x > \frac{-5 + \sqrt{73}}{4} \)
Question 2
Solve the equation \( 2^x + 3^x = 5^x \).
A. x = 2
B. x = 3
C. x = 4
D. x = 5
Question 3
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{64}{3} \)
B. \( \frac{32}{3} \)
C. \( \frac{16}{3} \)
D. \( \frac{8}{3} \)
Question 4
A binary operation \( * \) on the set of real numbers is defined as \( a * b = ab + 1 \). Find the value of \( 2 * 3 \).
A. 7
B. 9
C. 11
D. 13
Question 5
Find the value of ( x ) in the equation \( 2^x = 16 \).
A. \( x = 2 \)
B. \( x = 4 \)
C. \( x = 8 \)
D. \( x = 16 \)
Question 6
Solve the inequality \( 2x^2 + 5x - 3 > 0 \) u\sing the quadratic formula.
A. \( x < -1 \) or \( x > \frac{3}{2} \)
B. \( x < -\frac{3}{2} \) or \( x > 1 \)
C. \( x < 1 \) or \( x > -\frac{3}{2} \)
D. \( x < -\frac{3}{2} \) or \( x < 1 \)
Question 7
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. ( 15 )
B. ( 25 )
C. ( 35 )
D. ( 45 )
Question 8
A fair six-sided die is rolled. What is the probability that the number obtained is greater than 4?
A. 1/3
B. 1/2
C. 2/3
D. 1/6
Question 9
Find the value of x in the equation \( 2x^2 + 5x - 3 = 0 \)
A. 1
B. -1
C. 3
D. -3
Question 10
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{-2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 11
Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.
A. 4
B. 6
C. 8
D. 10
Question 12
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{2} - arc\tan\( 1 \ \) )
B. \( \frac{pi}{2} + arc\tan\( 1 \ \) )
C. \( \frac{pi}{2} - arc\tan\( 1 \ \) )
D. \( \frac{pi}{2} + arc\tan\( 1 \ \) )
Question 13
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 14
Solve the inequality \( 2x^2 + 3x - 5 > 0 \) u\sing the quadratic formula.
A. \( -∞, -1 \) ∪ (2, ∞)
B. \( -∞, 1 \) ∪ (2, ∞)
C. \( -∞, -2 \) ∪ (1, ∞)
D. \( -∞, 2 \) ∪ (1, ∞)
Question 15
A number is represented in base 8 as 1234. What is the value of this number in base 10?
A. 512
B. 1024
C. 1536
D. 2048

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: