Jamb Mathematics 1991 Past Questions and Answers

Question 11:

• JAMB 1991

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

A. - \(\frac{1}{2}\sqrt{5}\)
B. \(\frac{1}{2}\sqrt{5}\)
C. -- \(\frac{1}{4}\sqrt{5}\)
D. 5

Question 12:

• JAMB 1991

Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \sqrt{3}}\)

A. 5 - 2\(\sqrt{6}\)
B. 5 + 2\(\sqrt{6}\)
C. 5\(\sqrt{6}\)
D. 5

Question 13:

• JAMB 1991

Multiply (x² - 3x + 1) by (x - a)

A. X³ - (3 + a) x² + (1 + 3a)x - a
B. X³ - (3 - a)x² + 3ax - a
C. X³ - (3 - a)x² - (1 = 3a) - a
D. X³ + (3 - a)x² + (1 + 3a) - a

Question 14:

• JAMB 1991

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy^1}\) When x = -2 and y = 3

A. 3
B. -\(\frac{3}{5}\)
C. \(\frac{3}{5}\)
D. -3

Question 15:

• JAMB 1991

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A. \(\frac{(p + q)}{pw + qu}\)
B. \(\frac{uw(p + q)}{pw + qu}\)
C. \(\frac{uw(p + q)}{pw}\)
D. \(\frac{uw}{pw + qu}\)