Competitive Exam

Roots of Numbers question bank (Quantitative Aptitude)

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Q1.

If $x=\frac{\sqrt{3}+1}{\sqrt{3}-1}$ and $y=\frac{\sqrt{3}-1}{\sqrt{3}+1},$ then the value of $(x^{2}+y^{2})$ is

(A)

$10$

(B)

$13$

(C)

$14$

(D)

$15$

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Q2.

If $x = (7 - 4\sqrt{3})$,then the value of $\left(x + \frac{1}{x}\right)$ is

(A)

$3\sqrt{3}$

(B)

$8\sqrt{3}$

(C)

$14$

(D)

$14 + 8\sqrt{3}$

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