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For the following questions answer them individually
If $$x = 2 + \sqrt{3}$$ and $$xy = 1$$, then
$$\frac{x}{\sqrt{2} + \sqrt{x}} + \frac{y}{\sqrt{2} - \sqrt{y}} =$$
If $$19^5 + 21^5$$ is divisible by p, then p =
$$7^{12} - 4^{12}$$ is exactly divisible by
The LCM of two numbers is 20 times their HCF. The snm of their LCM and HCF is 2520. If one of those numbers is 480, then twice the other number is
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of those numbers lies between 200 and 300, then the sum of those two numbers is
If $$92 \times 576 \div \sqrt{1296} + 10 = x^3 + 144 + \sqrt{49}$$, then the number that comes in the place of $$x$$ is
If $$\sqrt{94.09} + 623.45 - \sqrt{125.44} = (?) - \sqrt[3]{6859}$$, then the number that should come in place of (?) is
If $$A = \sqrt{7} - \sqrt{5}, B = \sqrt{5} - \sqrt{3}, C = \sqrt{9} - \sqrt{7}$$ and $$D = \sqrt{11} - \sqrt{9}$$, then which one of the following is a correct ordering?
The grea test among the numbers $$\sqrt[4]{2}, \sqrt[5]{3}, \sqrt[10]{6}$$ and $$\sqrt[20]{15}$$ is
A trader marks the price of an article 40% higher than its cost price. He allows 5% discount. Had the cost price been 20% higher and discount 15%, he would have sold it for Rs. 98 more. Then the cost price of that article in Rs.) is
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