Abia State University Mathematics Post Utme Past Questions and Answers

Question 1 :

if \(M=\left(\begin{array}{ccc}1 & 2 & 3 \\ -1 & -3 & -2 \\ 0 & 1 & 0\end{array} \right)\)
find the determinant of matrix \(M\)

A. 6
B. \(-2\)
C. \(-5\)
D. 1

Question 2 :

Two matrices \(\mathbf{M}\) and \(\mathrm{N}\) are defined by \(M=\left(\begin{array}{ccc}3 & 2 & 1 \\ 4 & 1 & 1 \\ -1 & 2 & 0\end{array} \right) \quad\) and \(\quad N=\left(\begin{array}{ccc}2 & 0 & 1 \\ 3 & -2 & 2 \\ 4 & -4 & 3\end{array} \right)\)

A. \(\left(\begin{array}{ccc}3 & 2 & 1 \\ 4 & 1 & 1 \\ -1 & 2 & 0\end{array} \right)\)
B. \(\left(\begin{array}{rrr}2 & 0 & 1 \\ 3 & -2 & 2 \\ 4 & -4 & 3\end{array} \right)\)
C. \(\left(\begin{array}{lll}3 & 2 & 1 \\ 4 & 1 & 1 \\ -1 & 2 & 0\end{array} \right)\)
D. \(\left(\begin{array}{ccc}2 & 0 & 1 \\ 3 & -2 & 2 \\ 4 & -4 & 3\end{array} \right)\)

Question 3 :

A polynomial in \(x\) whose zeros are \(1,-\) 1 and 2 is

A. \(x^{2}+2 x^{2}+x+2\)
B. \(2 x^{3}-x^{2}+2 x^{2}\)
C. \(x^{3}-2 x^{2}+2\)
D. \(x^{2}-2 x^{2}-x-2\)

Question 4 :

The 7 th term of an AP is twice the third term. If the first term is 12 , find the common, difference.

A. 6
B. 24
C. 14
D. 42

Question 5 :

The weight Wkg of a metal bar varies jointly as its length L meter and the square of its diameters. if \(\mathrm{W}=90\) when \(\mathrm{d}=3 / 2\) and \(\mathrm{L}=36\)

A. \(\sqrt{\frac{W}{10 L}}\)
B. \(\sqrt{\frac{7 W}{10 L}}\)
C. \(\sqrt{\frac{10 W}{10 L}}\)
D. \(\sqrt{\frac{71}{10 L}}\)