Post Utme Federal University of Technology, Owerri Mathematics Past Questions and Answers

Question 11:

If \(x\) is jointly proportional to the cube of \(y\) and the foufth power of \(z\). in what ratio is \(x\) increased or decreased when \(y\) is halved and \(z\) is double?

A. \(4: 1\) increase
B. \(2: 1\) increase
C. \(1: 4\) decrease
D. 1:1 no change
E. \(3: 4\) decrease

Question 12:

If \(x+2\) and \(x-1\) are factørs of the expression \(L x^{3}+2 k x^{2}+24\), find the values of \(L\) and \(k\).

A. \(L=6, k=-9\)
B. \(L=-\) \(2, k=1\)
C. \(L=2 k=1\)
D. \(L=6, k=1\)
E. \(E=6, k=0\)

Question 13:

The value of \((0.03)^{3}-(0.02)^{3}\) is ____________

A. \(0.019\)
B. \(0.0019\)
C. \(0.00019\)
D. \(0.000019\)
E. \(0.000035\)

Question 14:

PQRS is a cyclic quadrilateral with PQ as diameter of the circle.
If \(\angle P Q S=15^{0}\) find \(\angle Q R S\) ____________

A. \(75^{0}\)
B. \(37_{2}^{1 / 0}\)
C. \(127_{2}^{1 / 0}\)
D. \(105^{6}\)
E. None of the above

Question 15:

Which is the values of the variable \(x,A x=3,C x=9\), satisfy the inequalities \(0<\underline{x}+3<2\) ?

A. A, b, c
B. B, c only
C. C only
D. None of a, b, c
E. None of the choices above