Jamb Mathematics Past Questions and Answers

Question 536:

• JAMB 1979

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A. \(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
B. \(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{39}\)
C. \(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
D. \(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
E. \(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)

Question 537:

• JAMB 1979

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)

A. 5^{2x + 1}
B. 5^{x + 1}
C. 5^-5
D. 5²
E. 5³

Question 538:

• JAMB 1979

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A. \(\frac{44}{3}\)\(\pi\)cm³
B. 12\(\pi\)cm³
C. \(\frac{38}{3}\)\(\pi\)cm³
D. \(\frac{40}{3}\)\(\pi\)cm³
E. \(\frac{32}{33}\)\(\pi\)cm³

Question 539:

• JAMB 1979

Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)

A. \(\frac{x^2 + y^2} {(x - y)^2}\)
B. \(\frac{2y^3} {y^2 - x^2}\)
C. \(\frac{3x^2 + y^2} {(2x - y)^2}\)
D. \(\frac{x^2 + y^2} {(x^2 - y)}\)

Question 540:

• JAMB 1979

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A. 1m
B. 1.1m
C. 1.2m
D. 0.9m
E. 1.3m