For the following questions answer them individually
Which of the following statement(s) is/are TRUE?
I. $$\sqrt{625}+\sqrt[4]{1296}+\sqrt{1024}>90$$
II. $$\sqrt[3]{(\sqrt{729})}+\sqrt[4]{(\sqrt{256})}=5$$
Which of the following statement(s) is/are TRUE?
I. $$\surd1+\surd2+\surd3+\surd4+\surd5+\surd6>10$$
II. $$\surd(10)+\surd(12)+\surd(14)>3\surd(12)$$
If $$f(x) = (x - 2)(x^2 + Px + 4)$$ and $$(x - 3)$$ is a factor of $$f(x)$$, then what is the value of $$P$$?
If $$\left[x - \left(\frac{1}{x}\right)\right] = 2$$, then what is the value of $$\left[x^6 - \left(\frac{1}{x^6}\right)\right]$$?
$$x, y$$ and $$z$$ all are positive number. If $$3^x > 9^y$$ and $$2^y > 4^z$$, then which of the following is TRUE?
If $$X = \frac{1}{1+\frac{1}{1+X}}$$ and $$Y = \frac{2}{2+\frac{1}{1+Y}}$$, then which of the following can be the value of $$X+Y$$
If $$P = 2^{29}\times3^{21}Â \times 5^8,Q = 2^{27}Â \times 3^{21}Â \times 5^8, R = 2^{26}Â \times 3^{22}Â \times 5^8$$ and $$S = 2^{25}Â \times 3^{22}Â \times 5^9$$, then which of the following is TRUE?
If $$A = 125$$ and $$B = 8$$, then what is the value ofÂ
$$(A + B)^3 - (A - B)^3 - 6B(A^2 - B^2)$$?
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