Obafemi Awolowo University Mathematics Post Utme Past Questions and Answers

Question 16 :

The inverse of matrix \(B\) is

A. \(\frac{1}{8}\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]\)
B. \(\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]\)
C. \(\frac{1}{8}\left[\begin{array}{cc}3 & -4 \\ -2 & 0\end{array}\right]\)
D. \(\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\)

Question 17 :

The indefinite integral of the function \(f(x)=x \cos x\) for any constant \(k\). is

A. \(-\cos x+\sin x+k\)
B. \(x \sin x-\cos x\)
C. \(x \sin x\) for any constant k
D. \(x+\sin x+\cos x+k\)

Question 18 :

Evaluate the integral \(\int_{1}^{2}\left(x^{2}+\frac{1}{x}\right) d x\).

A. \(\frac{8}{3}+\ln 2\)
B. \(\frac{7}{3}+\ln 2\)
C. \(\frac{7}{3}-\ln 3\)
D. \(\frac{8}{3}\)

Question 19 :

The trigonometric expression \(\cos 2 A +\sin 2 A\) can be written as

A. \(\cos A(\cos A-\sin A)\)
B. \(\cos ^{2} A+\sin 2-2 \sin A \cos A\)
C. \(2 \sin A \cos A +\cos ^{2} A +\sin ^{2} A\)
D. \(\cos ^{2} A +\sin ^{2} A -2 \sin A \cos A\)

Question 20 :

Suppose \(D, E\) and \(P\) are subset of a universal set U. Let \(U\) be the set of natural numbers not greater than 10 , while \(D, E\) and \(P\) are respectively the set of odd numbers, even numbers and prime numbers. For any set \(X\), its complement \(X\) and \(Q\) denote the empty set.

Display the set \(D \cap P\)

A. \(\{3.5 .7\}\)
B. \(\{2\}\)
C. \(\{4.6 .8 .10\}\)
D. \(\{2.3 .5 .7\}\)