Jamb Mathematics Past Questions For Year 1978
Question 31
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 32
The quantity (x + y) is a factor of
- A. x2 + y2
- B. x3 - y3
- C. 2x2 - 3xy + y2 - x + 1
- D. 2x3 + 2x2y - xy + 3x - y2 + 3y
- E. x5 - y5
Question 33
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
Question 34
If (25)\(^{x - 1}\)= 64\(\frac{5}{2}^{6}\), then x has the value
- A. 7
- B. 4
- C. 32
- D. 64
- E. 5
Question 35
Assuming \(\log_e 4.4 = 1.4816\) and \(\log_e 7.7 = 2.0142\), then the value of \(\log_e \frac{7}{4}\) is
- A. 0.5326
- B. 3.4958
- C. 0.4816
- D. 0.0142
- E. 1.3594
