POST UTME CRAWFORD UNIVERSITY 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set ( A ) contains the elements \( \{ 1, 2, 3, 4, 5 \} \). Find the number of subsets of ( A ).
A. 15
B. 16
C. 31
D. 32
Question 2
A vector \( \vec{a} \) has components \( a_x = 2, a_y = 3 \). Find the magnitude of \( \vec{a} \).
A. 2
B. 3
C. 4
D. \sqrt{13}
Question 3
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ... ).
A. 240
B. 242
C. 484
D. 486
Question 4
Given that \( mathbf{a} = egin{pmatrix} 2 \ 3 \ 1 \end{pmatrix} \) and \( mathbf{b} = egin{pmatrix} 1 \ -2 \ 4 \end{pmatrix} \), find the vector \( mathbf{a} \times mathbf{b} \).
A. \( egin{pmatrix} 10 \ 2 \ -7 \end{pmatrix} \)
B. \( egin{pmatrix} -10 \ 2 \ 7 \end{pmatrix} \)
C. \( egin{pmatrix} 10 \ -2 \ 7 \end{pmatrix} \)
D. \( egin{pmatrix} -10 \ -2 \ -7 \end{pmatrix} \)
Question 5
Solve the system of linear equations: \( egin{cases} x + 2y - 3z = 7 \ 2x - 3y + z = -3 \ 3x + y + 2z = 5 \end{cases} \)
A. \( x = 1, y = 2, z = 3 \)
B. \( x = 2, y = 1, z = 3 \)
C. \( x = 1, y = 3, z = 2 \)
D. \( x = 3, y = 2, z = 1 \)
Question 6
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. -1
B. 0
C. 1
D. -2
Question 7
Find the sum of the first 5 terms of the geometric progression ( 2, 6, 18, ldots ).
A. ( 728 )
B. ( 7280 )
C. ( 72800 )
D. ( 728000 )
Question 8
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. \( x = -2 \)
B. \( x = 2 \)
C. \( x = -1 \)
D. \( x = 1 \)
Question 9
Find the determinant of the matrix [ egin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} ].
A. 1
B. 2
C. 3
D. 4
Question 10
Find the determinant of the matrix \( egin{pmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 1 & 3 & 2 \end{pmatrix} \).
A. ( 0 )
B. ( 1 )
C. \( -1 \)
D. ( 2 )

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