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

Question 51:

• JAMB 1979

\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\) equals

A. 2 x 10^-5
B. 2 x 10^-1
C. 2 x 10¹
D. 2 x 10^-4

Question 52:

• 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 53:

• 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 54:

• JAMB 1979

Find the value of (4^{\(\frac{1}{2}\)})⁶

A. 1
B. 2
C. 4
D. 6
E. 8

Question 55:

• JAMB 1979

Find the value of log₁₀\(\frac{1}{40}\), given that log₁₀4 = 0.6021

A. 1.3979
B. 2.3979
C. 1.6021
D. 2.6021