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

Question 61:

• JAMB 1980

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

A. 7
B. 13
C. 17
D. 49
E. 169

Question 62:

• JAMB 1980

Rationalize the denominator of the given expression \(\frac{\sqrt{1 + a} - \sqrt{a}}{1 + a + \sqrt{a}}\)

A. 1 + 2a - 2\(\sqrt{a(1 + a)}\)
B. \(\sqrt{1(1 + a)}\)
C. 2a - 2\(\sqrt{a(1 + a)}\)
D. 1 + 2a - 2\(\sqrt{a + b}\)

Question 63:

• JAMB 1980

Simplify \(\frac{log_{10}8}{log_{10}4}\)

A. Log10²
B. Log10⁴
C. \(\frac{3}{2}\)
D. 2
E. None of the above

Question 64:

• JAMB 1980

Find the product of (2\(\sqrt{y - 3y}\)) and (3y = 2y)

A. 4y = y²
B. 4y + 9y²
C. 4y - 9y²
D. -4y - 9y²
E. 2y + y²

Question 65:

• JAMB 1980

(\(\frac{x^a}{x^b}\))^{a + b} by (\(\frac{x^{a + b}}{x^{a - b}}\))^{\(\frac{a^2}{b}\)}

A. X^-a2
B. X^b2
C. X^{a2 - b2}
D. \(\frac{1}{x^{a2 + b2}}\)
E. X^{b2 - a2}