Ladoke Akintola University of Technology Mathematics Post Utme Past Questions and Answers

Question 16 :

A bag contains 5 black balls and 3 red balls. Two ball are picked at random without replacement. What is the arobability that a black ball and a red ball are picked?

A. \(15 / 28\)
B. \(13 / 28\)
C. \(5 / 14\)
D. \(11 / 12\)

Question 17 :

A rectangular hexagon is constructed inside a circle of diameter \(12 cm\). calculate the area of the hexagon.

A. \(36 \pi cm ^{2}\)
B. \(36 \sqrt{3} cm ^{2}\)
C. \(54 \sqrt{3} cm ^{2}\)
D. \(54 \pi cm ^{2}\)

Question 18 :

If the three consecutive terms of a GP are \(n-2, n\) and \(n+3\), find the common ratio.

A. \(1 / 4\)
B. \(1 / 2\)
C. \(3 / 4\)
D. \(1 / 2\)

Question 19 :

In a triangle \(ABC\), if the \(AB =15 cm\) and angle \(ABC =45^{\circ}\) while angle \(ACB =60^{\circ}\), find the length of line \(AC\)

A. \(15 \sqrt{6} 6 cm\)
B. \(10 \sqrt{6} cm\)
C. \(20 \sqrt{6} cm\)
D. \(5 \sqrt{6} 6 cm\)

Question 20 :

Find the derivative of the function \(y=x^{2}(4 x+3)\) at the point \(x=2\)

A. 60
B. 50
C. 40
D. 30