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POST UTME KSU 2025 Mathematics | Objective

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Question 1 View Details

Determine the mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 6

Correct B. 8

C. 10

D. 12

Correct Answer: B

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Question 2 View Details

Solve for x in the equation \(egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 7 \ 11 \end{bmatrix}\).

A. 3

B. 4

Correct C. 5

D. 6

Correct Answer: C

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Question 3 View Details

A random experiment has two independent events, A and B, with probabilities 0.4 and 0.6, respectively. 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 4 View Details

Find the determinant of the matrix \(egin{bmatrix} 2 & 3 & 1 \ 4 & 5 & 2 \ 6 & 7 & 3 \end{bmatrix}\).

A. -1

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 5 View Details

A sequence is defined by the recurrence relation \(a_n = 2a_{n-1} + 1\) with initial term \(a_1 = 3\). Find the value of \(a_{10}\).

A. 1023

Correct B. 1024

C. 1025

D. 1026

Correct Answer: B

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Question 6 View Details

Let X and Y be independent events with P(X) = 0.4 and P(Y) = 0.6. Find P(\(X \cap Y\)).

Correct A. 0.24

B. 0.36

C. 0.48

D. 0.64

Correct Answer: A

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Question 7 View Details

Find the area under the curve \(y = x\^2\) from \(x = 0\) to \(x = 4\).

A. 21.33

B. 26.67

Correct C. 32

D. 64

Correct Answer: C

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Question 8 View Details

Solve the equation \(x^3\) - \\((6x^2 + 11x - 6\)\(= 0.\)\)

Correct A. 1, 2, 3

B. 1, 2, 4

C. 1, 3, 4

D. 2, 3, 4

Correct Answer: A

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Question 9 View Details

Find the determinant of the matrix \begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{bmatrix}.

Correct A. 0

B. 1

C. 2

D. 3

Correct Answer: A

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Question 10 View Details

Let {a_n} be a sequence defined by \(a_n = 2n + 1\). Find the sum of the first 5 terms of the sequence.

A. 10

B. 12

Correct C. 15

D. 18

Correct Answer: C

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Question 11 View Details

Solve the inequality (\(\frac{x}{x-2}\(> 1\)\) for \\((frac{x}{x-2} > 1\(x > 2\)\).

Correct A. \(x > 4\)

B. \(x > 2\)

C. \(x < 2\)

D. \(x = 4\)

Correct Answer: A

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Question 12 View Details

Find the equation of the circle with center \(3, -2 \\) ) and radius ( 4 ).

Correct A. \(x - 3\)^2 + \(y + 2\)^\(2 = 16\)

B. \(x + 3\)^2 + \(y - 2\)^\(2 = 16\)

C. \(x - 3\)^2 + \(y + 2\)^\(2 = 9\)

D. \(x + 3\)^2 + \(y - 2\)^\(2 = 9\)

Correct Answer: A

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Question 13 View Details

Solve the equation \(x^2 - 6x + 8 = 0\).

Correct A. \(x = 2\), \(x = 4\)

B. \(x = 1\), \(x = 7\)

C. \(x = 3\), \(x = 5\)

D. \(x = 2\), \(x = 6\)

Correct Answer: A

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Question 14 View Details

Find the sum of the first 10 terms of the geometric sequence with first term \(a = 2\) and common ratio \(r = 3\).

Correct A. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366

B. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

C. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294

D. 2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098 + 354294 + 1062882

Correct Answer: A

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Question 15 View Details

Solve the equation \(x^2 + 5x + 6 = 0\).

Correct A. \(x = -2\),\(x = -3\)

B. \(x = 2\), \(x = 3\)

C. \(x = -1\),\(x = -6\)

D. \(x = 1\), \(x = 6\)

Correct Answer: A

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Question 16 View Details

In a binary system, what is the value of the number 1011 in decimal?

A. 11

B. 13

Correct C. 15

D. 17

Correct Answer: C

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Question 17 View Details

A histogram is a graphical representation of a frequency distribution. What is the shape of a histogram that represents the distribution of exam scores?

A. Symmetric

Correct B. Skewed

C. Bell-shaped

D. Uniform

Correct Answer: B

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Question 18 View Details

A function f(x) = \(2x^2 + 3x - 1\) is given. Find the derivative of the function using the chain rule.

Correct A. ( f'\((x) = 4x + 3 )\)

B. ( f'\((x) =\)\(2x^2 + 3\) )

C. ( f'\((x) = 4x + 1 )\)

D. ( f'\((x) =\)\(2x^2 + 1\) )

Correct Answer: A

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Question 19 View Details

A vector \(\vec{a} = egin{pmatrix} 2 \ 3 \ 1 \end{pmatrix}\) is given. Find the magnitude of the vector.

A. \(|\vec{a}| = 4\)

Correct B. \(|\vec{a}| = 5\)

C. \(|\vec{a}| = 6\)

D. \(|\vec{a}| = 7\)

Correct Answer: B

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Question 20 View Details

A polynomial function f(x) = \((x^3 - 2x^2 + x - 1\)\) is given. Find the value of the function when \(x = 2\\((x^3 - 2x^2 + x - 1) is given. Find the value of the function when\).

A. 9

Correct B. 11

C. 13

D. 15

Correct Answer: B

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Question 21 View Details

A random variable X has a probability distribution given by P\(X = 1 = 0.3\), P\(X = 2 = 0.4\), and P\(X = 3 = 0.3\). What is the expected value of X?

A. 1.1

Correct B. 1.3

C. 1.5

D. 1.7

Correct Answer: B

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Question 22 View Details

In a histogram with 5 classes, the class width is 2 units. If the first class has a frequency of 3, the second class has a frequency of 5, and the third class has a frequency of 2, what is the total frequency of the first three classes?

Correct A. 10

B. 12

C. 14

D. 16

Correct Answer: A

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Question 23 View Details

Solve the quadratic equation \(x^2 + 4x + 4 = 0\)

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 24 View Details

A circle has a radius of 4 units. What is the area of the circle?

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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Question 25 View Details

A line passes through the points (2, 3) and (4, 5). What is the slope of the line?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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