POST UTME UNILAG 2023 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the area of the region bounded by the curves $y=x^2$ and $y=2x$.
A. \frac{4}{3}
B. \frac{2}{3}
C. 1
D. 2
Question 2
Find the area under the curve \( y = \sin\( x \ \) ) from \( x = 0 \) to \( x = \frac{pi}{2} \) u\sing integration.
A. \( \frac{1}{2} \)
B. \( \frac{pi}{2} \)
C. \( \frac{pi}{4} \)
D. \( \frac{1}{4} \)
Question 3
Solve the equation $x^3-6x^2+11x-6=0$.
A. (1,2,3)
B. \( 1,2,-3 \)
C. \( 1,-2,3 \)
D. \( -1,2,3 \)
Question 4
Find the value of $\lim_{x\to\infty}\frac{x^2-4x+3}{x^2+2x+1}$.
A. 1
B. -1
C. 0
D. ∞
Question 5
A random variable $X$ has a probability distribution given by $P\( X=x \)=\frac{1}{2^x}$ for $x=1,2,3,\ldots$. Find $E\( X^2 \)$.
A. 3
B. 4
C. 5
D. 6
Question 6
Solve the inequality $\frac{x-2}{x+1}>0$.
A. \( -∞,-1 \)∪(2,∞)
B. \( -∞,-1 \)∪\( -1,2 \)
C. \( -∞,2 \)∪(2,∞)
D. \( -∞,-1 \)∪(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 set A contains 5 elements, and a set B contains 3 elements. If the union of sets A and B is denoted as C, find the number of elements in set C.
A. 8
B. 9
C. 10
D. 11
Question 9
A right-angled triangle has a hypotenuse of length 10 cm and one leg of length 6 cm. Find the length of the other leg u\sing the Pythagorean theorem.
A. \( \sqrt{64} \)
B. \( \sqrt{36} \)
C. \( \sqrt{100} \)
D. \( \sqrt{16} \)
Question 10
Determine the value of x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \) u\sing the quadratic formula.
A. \( x = -10 \)
B. \( x = 3 \)
C. \( x = -3 \)
D. \( x = 10 \)

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: