Jamb Mathematics Questions - Indices, Logarithms and Surds
Question 36:
Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)
- A \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
- B \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
- C \(\sqrt{2} - \sqrt{5}\)
- D 5(\(\sqrt{2} - \sqrt{5}\)
- E \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)
Question 37:
Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)
- A \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
- B \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
- C \(\sqrt{2} - \sqrt{5}\)
- D 5(\(\sqrt{2} - \sqrt{5}\)
- E \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)
Question 38:
Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms
- A 2<sup style='font-size: smaller;'>x</sup>(1 + y) = 3
- B 2<sup style='font-size: smaller;'>x</sup> - x(1 + y) = 8
- C X<sup style='font-size: smaller;'>2</sup> = 8(1 + y)<sup style='font-size: smaller;'>x</sup>
- D X<sup style='font-size: smaller;'>2</sup> - x(1 + y) = 8
- E X<sup style='font-size: smaller;'>2</sup> - (1 + y)<sup style='font-size: smaller;'>2</sup> = 8
Question 39:
Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\), find p:r
- A 4:105
- B 7:15
- C 20:21
- D 2:35
- E 3:20
Question 40:
Express 37.05 x 0.0042 in standard form
- A 15.561 x 10<sup style='font-size: smaller;'>2</sup>
- B 1.5561 x 10<sup style='font-size: smaller;'>-4</sup>
- C 1.556 x 10<sup style='font-size: smaller;'>-1</sup>
- D 1.5561 x 10<sup style='font-size: smaller;'>1</sup>
- E 1.55 x 10<sup style='font-size: smaller;'>1</sup>