University of Port Harcourt Mathematics Post Utme Past Questions and Answers

Question 1 :

Simplify \(\left(\frac{16}{81} \right)^{-3 / 4}\)

A. 6/17
B. 27 / 4
C. 27 / 8
D. 2 / 3
E. 9 / 4

Question 2 :

If \(x=\frac{a^{n}+a^{-n}}{2} and y=\frac{a^{n}-a^{-n}}{2} find the value of x^{2}-y^{2}\).

A. 5
B. 4
C. 1
D. 3
E. 2

Question 3 :

What's the remainder when 4 x^{3}-5 x+2 is divided by (x-1)

A. 1
B. 2
C. 3
D. -1
E. -2

Question 4 :

If \(a=2+\sqrt{3}\), find the value of a-1 / a

A. \(\sqrt{3}\)
B. \(3 \sqrt{5}\)
C. \(\sqrt{5}\)
D. \(\sqrt{3}\)
E. \(\sqrt{2}\)

Question 5 :

The 2 nd and 5 th terms of a geometric progression are 24 and 81 respectively. Find the common ratio.

A. 2 / 3
B. 3 / 2
C. 5 / 2
D. 7 / 2
E. 9 / 4