POST UTME RHEMA UNIVERSITY 2025 Mathematics | Objective

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Question 1 View Details
In the diagram below, what is the equation of the circle with center at point C(2,3) and radius 4?
Correct A. \(x^2 + y^2 - 8x + 6y + 4 = 0\)
B. \(x^2 + y^2 - 4x - 6y + 4 = 0\)
C. \(x^2 + y^2 + 8x - 6y + 4 = 0\)
D. \(x^2 + y^2 - 8x + 6y - 4 = 0\)

Correct Answer: A

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Question 2 View Details
Find the value of ( x ) in the equation \(2^x = 64\).
A. 3
Correct B. 4
C. 5
D. 6

Correct Answer: B

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Question 3 View Details
A set of 5 numbers has a mean of 10. If 2 is added to each number, what is the new mean?
A. 8
B. 10
Correct C. 12
D. 14

Correct Answer: C

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Question 4 View Details
In a probability experiment, event A has a probability of 0.4 and event B has a probability of 0.6. If events A and B are independent, what is the probability that both events occur?
Correct A. 0.2
B. 0.4
C. 0.6
D. 0.8

Correct Answer: A

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Question 5 View Details
Find the sum of the first 5 terms of the geometric progression 2, 6, 18, ...
A. 62
Correct B. 64
C. 66
D. 68

Correct Answer: B

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Question 6 View Details
In the diagram below, a circle with center O and radius 6 cm is inscribed in a square. If the point P is on the circle and the line segment OP is a \tangent to the circle, what is the length of OP?
A. 4 cm
Correct B. 6 cm
C. 8 cm
D. 10 cm

Correct Answer: B

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Question 7 View Details
Solve for x in the equation \(\log_{2} x^2 \\)\(= 4 )\)
Correct A. 8
B. 16
C. 32
D. 64

Correct Answer: A

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Question 8 View Details
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability that it is not blue?
A. \(3/12\)
B. \(5/12\)
Correct C. \(7/12\)
D. \(9/12\)

Correct Answer: C

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Question 9 View Details
In the diagram below, a line passes through the points (2, 3) and (4, 6). What is the equation of the line?
Correct A. \(y = 2x - 1\)
B. \(y = 2x + 1\)
C. \(y = x - 2\)
D. \(y = x + 2\)

Correct Answer: A

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Question 10 View Details
Solve for x in the equation \(x^2 + 4x + 4 = 0\)
Correct A. \(x = -2\)
B. \(x = -1\)
C. \(x = 0\)
D. \(x = 1\)

Correct Answer: A

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Question 11 View Details
Find the area under the curve \(y = \frac{1}{2}x^2 + 3x - 2\) from \(x = 0\) to \(x = 4\).
A. 40
B. 50
Correct C. 60
D. 70

Correct Answer: C

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Question 12 View Details
Solve the system of equations \(\begin{cases} x + y = 2 \ 2x - 3y = - 3 \end{cases}\).
Correct A. \(x = 1\), \(y = 1\)
B. \(x = 2\), \(y = 0\)
C. \(x = 0\), \(y = 2\)
D. \(x = -1\), \(y = 3\)

Correct Answer: A

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Question 13 View Details
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
Correct A. \(x - 2\)^2 + \(y - 3\)^\(2 = 16\)
B. \(x - 3\)^2 + \(y - 2\)^\(2 = 16\)
C. \(x + 2\)^2 + \(y + 3\)^\(2 = 16\)
D. \(x - 3\)^2 + \(y + 2\)^\(2 = 16\)

Correct Answer: A

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Question 14 View Details
Find the sum of the first 10 terms of the geometric progression ( 2, 6, 18, ... ).
Correct A. 59049
B. 59048
C. 59047
D. 59046

Correct Answer: A

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Question 15 View Details
Find the equation of the line passing through the points ( (1, 2) ) and ( (3, 4) ).
Correct A. \(y = 2x + 1\)
B. \(y = 2x - 1\)
C. \(y = x + 2\)
D. \(y = x - 2\)

Correct Answer: A

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Question 16 View Details
Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (0, 3) ).
Correct A. 3
B. 6
C. 9
D. 12

Correct Answer: A

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Question 17 View Details
Find the equation of the circle with center ( (0, 0) ) and radius ( 5 ).
Correct A. \(x^2\) + \\((y^2\)\(= 25\)\)
B. \(x^2\) + \\((y^2\)\(= 30\)\)
C. \(x^2\) + \\((y^2\)\(= 20\)\)
D. \(x^2\) + \\((y^2\)\(= 15\)\)

Correct Answer: A

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Question 18 View Details
Find the sum of the first 8 terms of the arithmetic progression ( 1, 3, 5, ... ).
Correct A. 32
B. 36
C. 40
D. 44

Correct Answer: A

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Question 19 View Details
Find the equation of the line passing through the points ( (0, 0) ) and ( (2, 3) ).
A. \(y =\)\(\frac{3}{2}\)\) x
B. \(y =\)\(\frac{2}{3}\)\) x
C. \(y = 2x\)
D. \(y = x\)

Correct Answer: VIEW ANSWER

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