POST UTME UNILAG 2023 Mathematics | Objective

Prepare for your exams with POST UTME UNILAG questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details
Determine the value of x in the equation \(\frac{1}{2}x^2 + 5x - 3 = 0\) using the quadratic formula.
A. \(x = -10\)
B. \(x = 3\)
Correct C. \(x = -3\)
D. \(x = 10\)

Correct Answer: C

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Question 2 View Details
Find the area under the curve \(y = $1x \\) ) from \(x = 0\) to \(x = \frac{\pi}{2}\) using integration.
A. \(\frac{1}{2}\)
B. \(\frac{\pi}{2}\)
Correct C. \(\frac{\pi}{4}\)
D. \(\frac{1}{4}\)

Correct Answer: C

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Question 3 View Details
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
Correct C. 10
D. 11

Correct Answer: C

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Question 4 View Details
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 using the Pythagorean theorem.
A. \(\sqrt{64}\)
B. \(\sqrt{36}\)
Correct C. \(\sqrt{100}\)
D. \(\sqrt{16}\)

Correct Answer: C

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Question 5 View Details
A sequence is defined as \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.
A. ( 15 )
B. ( 25 )
Correct C. ( 35 )
D. ( 45 )

Correct Answer: C

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Question 6 View Details
Find the value of \(\lim_{x\to\infty}\frac{x^2-4x+3}{x^2+2x+1}\).
A. 1
B. -1
C. 0
Correct D. ∞

Correct Answer: D

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Question 7 View Details
Solve the inequality \(\frac{x-2}{x+1} > 0\).
Correct A. \(-∞,-1\)∪(2,∞)
B. \(-∞,-1\) \cup \(-1,2\)\)
C. \(-∞,2\)∪(2,∞)
D. \(-∞,-1\)∪(1,∞)

Correct Answer: A

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Question 8 View Details
A random variable (X\) has a probability distribution given by \(P X = x\\((X) has a probability distribution given by\)=\(\frac{1}{2^x}\)\))\) for \(x = 1,2,3,\\()) for \ldots). Find \(E X^2\)\\(). Find (E X^2\).
A. 3
B. 4
Correct C. 5
D. 6

Correct Answer: C

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Question 9 View Details
Solve the equation \(x^3-6x^2+11x-6 = 0\).
Correct A. (1,2,3)
B. \(1,2,-3\)
C. \(1,-2,3\)
D. \(-1,2,3\)

Correct Answer: A

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Question 10 View Details
Find the area of the region bounded by the curves \(y = x^2\) and \(y = 2x\).
Correct A. \(\frac{4}{3}\)\)
B. \(\frac{2}{3}\)\)
C. 1
D. 2

Correct Answer: A

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