Post Utme Economics Past Questions and Answers

Question 966:

INSTRUCTION: From the words lettered A-D choose the appropriate answer

If \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10 x+2=0\). Find the value of \(\frac{1}{a^2}+\frac{1}{\beta^2}\)

A. 26
B. 24
C. \(3 / 2\)
D. 3

Question 967:

INSTRUCTION: From the words lettered A-D choose the appropriate answer

A bag contains three red and five white balls of equal size. Two balls are picked at random one after the other without replacement. What is the probability that both balls are of the same colour.

A. \(13 / 32\)
B. \(3 / 28\)
C. \(5 / 14\)
D. \(13 / 28\)

Question 968:

INSTRUCTION: From the words lettered A-D choose the appropriate answer

Two cards are picked at random from a pack of 52 playing cards, one at a time with replacement. What is the probability that the two cards are both spades and both hearts.

A. \(8 / 169\)
B. \(1 / 8\)
C. 4 / 8
D. \(1 / 32\)

Question 969:

INSTRUCTION: From the words lettered A-D choose the appropriate answer

Rationalize \(\frac{3}{9-\sqrt{80}}\)

A. \(3(9+\sqrt{80}\)
B. \(3 / 161(9-\) \(\sqrt{80}\)
C. \(3(9-\sqrt{80})\)
D. \(3 / 161(9+\sqrt{80})\)

Question 970:

Simplify \(\frac{\sqrt{5}}{\sqrt{5}-1}+\frac{\sqrt{5}}{\sqrt{5}+1}\)

A. \(2 / 5\)
B. \(21 / 2\)
C. \(1^{2 / 3}\)
D. \(3 / 5\)