University of Calabar Mathematics Post Utme Past Questions and Answers

Question 16 :

\(\tan x+\cot x=\)

A. \(\sin 2 x\)
B. \(2 / \sin 2 x\)
C. \(\frac{x^{2}-4}{x^{2}+4}\)
D. \(x^{2}+4\)

Question 17 :

\(\frac{27 x^{3}-8}{3 x-2}=\)

A. \(9 x^{2}-6 x+4\)
B. \(9 x^{2}+3 x+4\)
C. 2
D. 7

Question 18 :

\(\left(\sqrt[6]{(3)^{12}}\right)^{\frac{1}{2}}=\)

A. 9
B. \(3^{1 / 2}\)
C. \(1 / \cos 2 x\)
D. \(\cos 2 x\)

Question 19 :

Express \(0.00562\) in standard form

A. \(5.62 \times 10^{-3}\)
B. \(5.62 \times 10^{-2}\)
C. \(5.62 \times 10^{2}\)
D. \(5.62 \times 10^{2}\)

Question 20 :

If \(3^{2 x}=27\)

A. 1
B. \(1.5\)
C. \(4.5\)
D. 18