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

Question 1 :

Five years ago, a father was 3 times as old as his son. Now, their combined ages a mount to 110 years. Thus, the present age of the father is

A. 75 years
B. 60 years
C. 98 years
D. 81 years

Question 2 :

If \(y=2 x^{2}+9 x-35\) find the range of values for which \(y<0\).

A. \(-7 \leq x<5 \)
B. \(-5 \leq x<7 \)
C. \(-\left(\frac{7}{2}\right)<x \leq 5\)
D. \(-7<x<(5 / 2)\)

Question 3 :

Mother reduced the quantity of food bought for the family by \(10 \%\) when she found that the cost of living had increased by \(15 \%\) Thus the fracrional increase in the family food bill is now

A. \(1 / 12\)
B. \(6 / 35\)
C. \(19 / 300\)
D. \(7 / 200\)

Question 4 :

Given that \(a * b=a b+b+a\) and \(a^{0} b=1+b+a\). Find \((a \cdot b)^{\circ}(a+c)\). if \(a, b, c\) are real numbers.

A. A c+a b+b c+b+c+1
B. A c+a b+a+c+2
C. A c+a b+2 a+b+c+1
D. A c+a b+b c+b+c+2

Question 5 :

If the four interior angles of a quadrilateral are \((P+10)^{\circ}\) \((P-30)^{\circ}\) \((2 P-45)^{\mathrm{c}}\), a nd \((P+35)^{\circ}\), then \(P\) is

A. \(78^{\circ}\)
B. \(125^{\circ}\)
C. \( 135^{\circ}\)
D. 60°