11. What is the value of $$\frac{{3.6 \times 1.62 + 0.48 \times 3.6}}{{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16}}?$$
12. If (a + b)2 - 2(a + b) = 80 and ab = 16, then what can be the value of 3a - 19b?
13. If x2 - 3x + 1 = 0, then the value of $$\frac{{\left( {{x^4} + \frac{1}{{{x^2}}}} \right)}}{{\left( {{x^2} + 5x + 1} \right)}}$$ is:
14. If a + b + c = 8 and ab + bc + ca = 12, then a3 + b3 + c3 - 3abc is equal to:
15. If $$a - \frac{1}{a} = b,\,b - \frac{1}{b} = c$$ and $$c - \frac{1}{c} = a,$$ then what is the value $$\frac{1}{{ab}} + \frac{1}{{bc}} + \frac{1}{{ca}} = ?$$
16. If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x - y)2 + (y - z)2 + (z - x)2?
17. If $${x^2} + \frac{1}{{{x^2}}} = \frac{{31}}{9}$$ and x > 0, then what is the value of $${x^3} + \frac{1}{{{x^3}}} = ?$$
18. If x4 + x-4 = 194, x > 0, then the value of (x - 2)2 is:
19. If $${\left[ {a + \frac{1}{a}} \right]^2} - 2\left[ {a - \frac{1}{a}} \right] = 12,$$ then which of the following is a value of 'a'?
20. If $$\sqrt x - \frac{1}{{\sqrt x }} = \sqrt 5 ,$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to:
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