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Roots of Numbers question bank (Quantitative Aptitude)

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Q1.

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}$ and $b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$,then the value of $\frac{a^{2} + ab + b^{2}}{a^{2} - ab + b^{2}}$ is

(A)

$\frac{3}{4}$

(B)

$\frac{4}{3}$

(C)

$\frac{3}{5}$

(D)

$\frac{5}{3}$

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Q2.

If $\frac{4 \sqrt{3}+5 \sqrt{2}}{\sqrt{48}+\sqrt{18}}=a+b \sqrt{6},$ then the values of $a$ and $b$ are,respectively

(A)

$\frac{9}{5}, \frac{4}{15}$

(B)

$\frac{3}{11}, \frac{4}{33}$

(C)

$\frac{9}{10}, \frac{2}{5}$

(D)

$\frac{3}{5}, \frac{4}{15}$

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