21. If a = 2, b = -3, then the value of 27a3 - 54a2b + 36ab2 - 8b3 is?
22. If $${a^3} + \frac{1}{{{a^3}}} = 2{\text{,}}$$ then the value of $$\frac{{{a^2} + 1}}{a}$$ is (a positive number) ?
23. If $$\frac{a}{{q - r}}$$ = $$\frac{b}{{r - p}}$$ = $$\frac{c}{{p - q}}{\text{,}}$$ find the value of pa + qb + rc is?
24. If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$ the value of $${a^3} + \frac{1}{{{a^3}}}$$ = ?
25. If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$ = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$ = $$\frac{{{c^2} + {a^2}}}{{{b^2}}}$$ = $$\frac{1}{k}{\text{,}}$$ $$\left( {k \ne 0} \right)$$ then k = ?
26. If $$2x + \frac{2}{{9x}} = 4{\text{,}}$$ then the value of $$27{x^3} + \frac{1}{{27{x^3}}}$$ is?
27. If $$\frac{{{\text{ }}{x^2} + 1}}{{{x^2}}} = 2{\text{,}}$$ then the value of $$\frac{{x - 1}}{x}$$ is?
28. If pq(p + q) = 1, then the value of $$\frac{1}{{{p^3}{q^3}}}$$ - $${p^3}$$ - $${q^3}{\text{,}}$$ is equal to?
29. If p3 - q3 = (p - q){(p + q)2 - xpq}, then the value of x is?
30. If $$x = {\left( {0.25} \right)^{\frac{1}{2}}},$$ $$y = {\left( {0.4} \right)^2},$$ $$z = {\left( {0.216} \right)^{\frac{1}{2}}}$$ then-
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