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For the following questions answer them individually
If $$a = \sqrt{2} + \sqrt{3}$$, then $$\frac{a + 1}{a - 1} + \frac{1 - a}{1 + a} =$$
If $$x = 3 + \sqrt{5}$$, then the value of $$x^4 + 12x^3 + 36x^2$$ is
HCF of two numbers is 15 and their sum is 150.If oe the numbers are greater than 15, then those numbers are
If $$n = 847 \times K$$ is a perfect square then theleast possible positive value of $$K$$ is:
If $$x > x^2 > x^3$$, then a possible value of x among the following is
$$\sqrt{10 +\sqrt{25 +\sqrt{108 +\sqrt{154 +\sqrt{225}}}}} =$$
If the fractions $$\frac{1}{2}, \frac{2}{9}$$ and $$\frac{7}{13}$$ are expressed with a common denomination, then the least numerator is
The maximum of $$33^{3^3}, 3^{3^{3^3}}, 333^3$$ and $$3^{333}$$
The difference between compound interest and simple interest on a sum for 2 years at the same 6% interest per annum is ₹ 36. Then that sum (in rupees) is
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