Jamb 1978 Mathematics Questions
Question 31:
A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is
- A 1cm
- B \(\sqrt{\frac{3\pi}{24}}\)
- C \(\frac{\pi}{24\sqrt{3}}\)
- D 24\(\sqrt{3}\)
Question 32:
The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is
- A 1, 0
- B 1, 1
- C 2, 2
- D 0, 2
- E 1, 2
Question 33:
A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?
- A The volume of the sphere is greater than the volume of the cone
- B The volume of the cone is less than the volume of the cylinder
- C The total surface area of the cone is greater than that of the sphere
- D The total surface area of the cylinder is less than that of the sphere
- E The total sufeac area of the cone is equal to that of the cylinder
Question 34:
The quantity (x + y) is a factor of
- A X<sup style='font-size: smaller;'>2</sup> + y<sup style='font-size: smaller;'>2</sup>
- B X<sup style='font-size: smaller;'>3</sup> - y<sup style='font-size: smaller;'>3</sup>
- C 2x<sup style='font-size: smaller;'>2</sup> - 3xy + y<sup style='font-size: smaller;'>2</sup> - x + 1
- D 2x<sup style='font-size: smaller;'>3</sup> + 2x<sup style='font-size: smaller;'>2</sup>y - xy + 3x - y<sup style='font-size: smaller;'>2</sup> + 3y
- E X<sup style='font-size: smaller;'>5</sup> - y<sup style='font-size: smaller;'>5</sup>
Question 35:
Two triangles have the same areas if
- A Two sides in one triangle are equal to two sides in the other
- B Three sides in one triangle are equal to three sides in the other
- C Two angles in the triangle are equal to two angles in the other
- D Three angles in one triangle are equal to three angles in the other
- E One side and the opposite angle in one triangle are equal to one side and the opposite angle in the other