Indices, Logarithms and Surds - Jamb Mathematics Past Questions and Answers

Question 46:

• JAMB 1978

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

A. \(\sqrt{3}\) units
B. 3 units
C. \(\sqrt{41 + 20 \sqrt{2}}\) units
D. \(\sqrt{41 - 20 \sqrt{2}}\) units

Question 47:

• 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 48:

• 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 49:

• 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 50:

• 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^{\(\frac{1}{3}\)}