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21). $$\Large \sqrt{289} - \sqrt{625} \div \sqrt{25}$$ is equal to
 A). 17 B). 15 C). 12 D). $$\Large - \frac{8}{5}$$
22). If $$\Large a^{2} + 1 = a$$, then what is the value of $$\Large a^{12} + a^{6} + 1$$ is
 A). 2 B). 3 C). -3 D). 1
23). If a, b and c are non-zero, $$\Large a + \frac{1}{b} = 1$$ and $$\Large b + \frac{1}{c} = 1$$, then the value of abc is
 A). -3 B). 1 C). -1 D). 3
24). If a + b + c = 0, then the value of $$\Large \left(\frac{a+b}{c} + \frac{b+c}{a} + \frac{c+a}{b}\right)$$ $$\Large \left(\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b}\right)$$
 A). 9 B). 0 C). 8 D). -3
25). If $$\Large a * b = a + b + \frac{a}{b}$$, then the value $$\Large 12 * 4$$ is
 A). 48 B). 19 C). 20 D). 21

26). If $$\Large x = \frac{\sqrt{2}+1}{\sqrt{2}-1}$$ and $$\Large x - y = 4\sqrt{2}$$, then the value of $$\Large \left(x^{2} + y^{2}\right)$$ is
 A). 34 B). 38 C). 30 D). 32
27). If $$\Large x + \frac{a}{x} = 1$$, then the value of $$\Large \frac{x^{2}+x+a}{x^{3}-x^{2}}$$ is
 A). -2 B). $$\Large - \frac{a}{2}$$ C). $$\Large \frac{2}{a}$$ D). $$\Large - \frac{2}{a}$$
28). If $$\Large \sqrt{28 - 6\sqrt{3}} = \sqrt{3} a + b$$, (where a, b are rationale), value of $$\Large \left(a + b\right)$$ is
 A). -2 B). 2 C). 1 D). -1
29). If $$\Large x + y = 1$$, then the value of $$\Large x^{3} + y^{3} + 3xy$$ is
 A). -2 B). 1 C). 2 D). 3
30). If $$\Large a = \left(\sqrt{2}-1\right)^{\frac{1}{3}}$$, then the value of $$\Large \left(a - a^{-1}\right)^{3} + 3 \left(a - a^{-1}\right)$$ is
 A). -2 B). 2 C). $$\Large 2\sqrt{2}$$ D). $$\Large \sqrt{2}$$
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Total Pages : 85