POST UTME LEAD CITY UNIVERSITY 2018 Mathematics | Objective

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Question 1 View Details
Find the equation of the circle with center at ((2,3)) and radius 4.
Correct A. \(x^2 + y^2 - 4x - 6y + 13 = 0\)
B. \(x^2 + y^2 - 8x - 12y + 25 = 0\)
C. \(x^2 + y^2 + 4x + 6y + 13 = 0\)
D. \(x^2 + y^2 + 8x + 12y + 25 = 0\)

Correct Answer: A

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Question 2 View Details
A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.
A. ( 18 ) \(cm^3\)
B. ( 24 ) \(cm^3\)
Correct C. ( 36 ) \(cm^3\)
D. ( 72 ) \(cm^3\)

Correct Answer: C

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Question 3 View Details
Find the derivative of ( f(x) = \(\frac{x^2}{x+1}\)\)\) ) using the quotient rule.
Correct A. ( f'\((x) =\)\(\frac{2x x+1 - x^2}{\) x+1 ^2}\)\) )
B. ( f'\((x) =\)\(\frac{x^2}{\) x+1 ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2x}{x+1}\)\) )
D. ( f'\((x) =\)\(\frac{x^2+1}{\) x+1 ^2}\)\) )

Correct Answer: A

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Question 4 View Details
A set of exam scores has a mean of 75 and a standard deviation of 10. Find the z-score corresponding to a score of 85.
A. \(z = 0.5\)
B. \(z = 1.0\)
Correct C. \(z = 1.5\)
D. \(z = 2.0\)

Correct Answer: C

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Question 5 View Details
Find the equation of the line passing through the points ( (2,3) ) and ( (4,5) ).
Correct A. \(y = \frac{1}{2}x + \frac{1}{2}\)
B. \(y = \frac{1}{2}x - \frac{1}{2}\)
C. \(y = 2x - 1\)
D. \(y = 2x + 1\)

Correct Answer: A

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Question 6 View Details
Find the area under the curve \(y = x\^2 + 2x - 3\) from \(x = 0\) to \(x = 3\).
Correct A. 27
B. 30
C. 33
D. 36

Correct Answer: A

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Question 7 View Details
Solve the equation \(\sqrt{x + 5}\) - \(2 = 3\).
A. 16
B. 20
Correct C. 24
D. 28

Correct Answer: C

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Question 8 View Details
Find the value of \log_2 (12) + \log_2 (3).
A. 4
Correct B. 5
C. 6
D. 7

Correct Answer: B

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Question 9 View Details
A sequence is defined by the formula \(an = 2n + 1\). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
Correct C. 25
D. 30

Correct Answer: C

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Question 10 View Details
A histogram has a mean of 25 and a standard deviation of 5. Find the value of the median.
A. 20
Correct B. 25
C. 30
D. 35

Correct Answer: B

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