Jamb Mathematics 1978 Past Questions and Answers

Question 36:

• JAMB 1978

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 37:

• JAMB 1978

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

Question 38:

• JAMB 1978

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

A. A line parallel to the line ab
B. A line perpendicular to the line ab through the mid-point of ab
C. A circle through a and b with centre at the mid-point of ab
D. A circle with centre at a and passes through b
E. A circle in a plane perpendicular to ab and centre at the mid-point of the line ab

Question 39:

• JAMB 1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

A. -3
B. 3
C. \(\frac{3}{5}\)
D. \(\frac{-3}{2}\)
E. 1n 6 - 2 1n 5

Question 40:

• JAMB 1978

Simplify \(\frac{(a^2 - \frac{1}{a}) (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 - \frac{1}{a}^2}\)

A. A^{\(\frac{2}{3}\)}
B. A^{-\(\frac{1}{3}\)}
C. \(a^{2}\) + 1
D. A
E. A^{\(\frac{1}{3}\)}