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 $L{x}^3+2k{x}^2+24$, find the values of $L$ and $k$.

A. $L=6,k=-9$
B. $L=-$ $2,k=1$
C. $L=2k=1$
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 $\mathrm{\angle }PQS={15}^0$ find $\mathrm{\angle }QRS$ ____________

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 $x,Ax=3,Cx=9$, satisfy the inequalities $0<\underset{―}{x}+3<2$ ?

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