Jamb Mathematics 1984 Past Questions and Answers

Question 11:

• JAMB 1984

A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equation of the graph is

A. -3 = \(\frac{y + 4}{x + 1}\)
B. 4y = -3 + x
C. \(\frac{y}{x}\) = \(\frac{-3}{4}\)
D. 4x = y + 3

Question 12:

• JAMB 1984

A trader in country where their currency 'MONI'(M) is in base five bought 103₅ oranges at M14₅ each. If he sold the oranges at M24₅ each, what will be his gain?

A. 103₅
B. 1030₅
C. 102₅
D. 2002₅
E. 3032₅

Question 13:

• JAMB 1984

Rationalize \(\frac{5\sqrt{7} - 7\sqrt{5}}{\sqrt{7} - \sqrt{5}}\)

A. -2 \sqrt{35}\)
B. 4\sqrt{7}\) - 6\(\sqrt{5}\)
C. -\(\sqrt{35}\)
D. 4\sqrt{7}\) - 8\(\sqrt{5}\)
E. \(\sqrt{35}\)

Question 14:

• JAMB 1984

Simplify \(\frac{3^n - 3^{n - 1}}{3^3 \times 3^n - 27 \times 3^{n - 1}}\)

A. 1
B. 6
C. \(\frac{1}{27}\)
D. \(\frac{4}{3}\)

Question 15:

• JAMB 1984

p varies directly as the square of q and inversely as r. If p = 36, when q = 36, when q = 3 and r = 4, find p when q = 5 and r = 2

A. 72
B. 100
C. 90
D. 200
E. 125