1. Ratio of three numbers x, y, z are in 2, 3, 5 respectively and the sum of x, y, z is 80. If the number z is given by the equation z = ax - 8, then a is ?
2. If (x - 2)(x - p) = x2 - ax + 6, then the value of (a - p) is?
3. If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$ $$y = \sqrt a - \frac{1}{{\sqrt a }}{\text{,}}$$ $$\left( {a > 0} \right)$$ then the value of x4 + y4 - 2x2y2 is?
4. If $$x = \root 3 \of {{x^2} + 11} - 2{\text{,}}$$ then the value of x3 + 5x2 + 12x is?
5. If $${p^2} + \frac{1}{{{p^2}}} = 47{\text{,}}$$ then the value of $$p + \frac{1}{p}$$ is?
6. The third proportional of the following numbers (x - y)2, (x2 - y2) = ?
7. If $$x + \sqrt 5 = 5 + \sqrt y $$ and x, y are positive integers, then the value of $$\frac{{\sqrt x + y}}{{x + \sqrt y }}$$ is?
8. If x, y and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0, then (x + y + z) is equal to?
9. If $$2x + \frac{1}{{3x}} = 5{\text{,}}$$ then the value of $$\frac{{5x}}{{6{x^2} + 20x + 1}}$$ is?
10. If a + b = 10 and ab = 21, then the value of (a - b)2 is?
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