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POST UTME MOUNTAIN TOP UNIVERSITY 2024 Mathematics | Objective

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Question 1 View Details

Find the value of ( x ) in the equation \(2x^2 + 5x - 3 = 0\) using the quadratic formula.

Correct A. 1

B. -1

C. 2

D. -2

Correct Answer: A

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Question 2 View Details

A particle moves in a straight line with a velocity of ( v(t) = 2t + 5 ) \((m/s\)\). Find the acceleration of the particle at time \(t = 2\\((m/s). Find the acceleration of the particle at time\) seconds.

A. 4

Correct B. 6

C. 8

D. 10

Correct Answer: B

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Question 3 View Details

Solve the inequality \(2x^2 - 5x + 3 > 0\) using the quadratic formula.

A. \(x < 1\)

Correct B. \(x > 1\)

C. \(x < 3\)

D. \(x > 3\)

Correct Answer: B

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Question 4 View Details

A set ( A ) contains the elements ( { 1, 2, 3, 4, 5 } ). Find the number of subsets of ( A ) that contain exactly two elements.

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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Question 5 View Details

A sequence is defined by the formula \(a_n = 2n + 1\). Find the sum of the first five terms of the sequence.

A. 15

Correct B. 25

C. 35

D. 45

Correct Answer: B

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Question 6 View Details

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 & 1 \ 4 & 1 & 2 \ 3 & 2 & 4 \end{pmatrix} ].

A. 23

Correct B. 25

C. 27

D. 29

Correct Answer: B

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Question 7 View Details

Solve the system of linear equations using Cramer's rule: [ egin{cases} \(x + 2y - z = 5\) \ \(3x - 2y + 4z = 2\) \ \(2x + 3y - z = 3\) \end{cases} ].

Correct A. \(x = 1\), \(y = 2\), \(z = 3\)

B. \(x = 2\), \(y = 3\), \(z = 1\)

C. \(x = 3\), \(y = 1\), \(z = 2\)

D. \(x = 4\), \(y = 2\), \(z = 1\)

Correct Answer: A

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Question 8 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5).

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 9 View Details

Find the volume of the solid formed by revolving the region bounded by the curves \(y = x\^2\) and \(y = 4 - x\^2\) about the x-axis.

A. 32π/3

Correct B. 64π/3

C. 128π/3

D. 256π/3

Correct Answer: B

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Question 10 View Details

Solve the inequality |x - 2|\(> 3.\)

Correct A. x < -1 or \(x > 5\)

B. \(x < 1\) or \(x > 5\)

C. x < -1 or \(x > 4\)

D. \(x < 1\) or \(x > 4\)

Correct Answer: A

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Question 11 View Details

Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].

A. 1

Correct B. -1

C. 2

D. 3

Correct Answer: B

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Question 12 View Details

A survey of 100 students found that 60 students liked reading, 40 students liked writing, and 20 students liked both. What is the probability that a randomly selected student likes reading or writing?

Correct A. 0.6

B. 0.7

C. 0.8

D. 0.9

Correct Answer: A

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Question 13 View Details

Solve the equation [ \\((x^2 + 4x + 4\)\(= 0\)\) ] using the quadratic formula.

Correct A. 0

B. -2

C. 2

D. -4

Correct Answer: A

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Question 14 View Details

Find the mean of the data set [ 2, 4, 6, 8, 10 ].

A. 4

Correct B. 5

C. 6

D. 7

Correct Answer: B

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Question 15 View Details

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

A. ₦1000

Correct B. ₦1250

C. ₦1500

D. ₦1750

Correct Answer: B

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Question 16 View Details

Solve the inequality \(\frac{x}{x-2} > 0\) for ( x in mathbb{R} setminus {2} ).

Correct A. \(-\infty, 2\) \cup \(2, \infty\)

B. \(-\infty, 2\) \cup (2, 4)

C. (2, 4)

D. \(-\infty, 2\) \cup \(4, \infty\)

Correct Answer: A

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Question 17 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. \(y = x + 1\)

D. \(y = x - 1\)

Correct Answer: A

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Question 18 View Details

A sequence is defined by \(a_n = 2n + 1\). 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 19 View Details

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

Correct A. \(x = -2\)

B. \(x = 2\)

C. \(x = -1\)

D. \(x = 1\)

Correct Answer: A

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Question 20 View Details

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 50.24 \(cm^2\)

B. 50.24 \(m^2\)

C. 50.24 \(mm^2\)

D. 50.24 \(km^2\)

Correct Answer: A

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Question 21 View Details

Find the area under the curve \(y = \frac{1}{2}x^2 + 3x - 4\) from \(x = 0\) to \(x = 2\).

Correct A. \(\frac{1}{2}\)

B. ( 3 )

C. ( 4 )

D. ( 5 )

Correct Answer: A

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Question 22 View Details

Solve for ( x ) in the equation \(2^x + 3^x = 5^x\).

A. \(x = 2\)

Correct B. \(x = 3\)

C. \(x = 4\)

D. \(x = 5\)

Correct Answer: B

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Question 23 View Details

Find the value of \(\log_{10} x^2 \\) ) given that \(\log_{10} x = 2\).

A. ( 4 )

B. ( 5 )

Correct C. ( 6 )

D. ( 7 )

Correct Answer: C

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Question 24 View Details

Solve for ( x ) in the equation \(\frac{x^2 - 4}{x + 2} = 2\).

Correct A. \(x = 2\)

B. \(x = -2\)

C. \(x = 4\)

D. \(x = -4\)

Correct Answer: A

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Question 25 View Details

Find the area of the triangle with vertices ( (0, 0) ), ( (2, 0) ), and ( (1, 3) ).

A. ( 3 )

B. ( 4 )

Correct C. ( 5 )

D. ( 6 )

Correct Answer: C

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