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For the following questions answer them individually
If $$a \neq b, a^2 + b^2 \neq 0$$, then $$\frac{(a - b)\left(\sqrt{a} - \sqrt{b}\right)}{(a + b)\left(\sqrt{a} + \sqrt{b}\right)} =$$
The least positive integer m to be added to 3096 so that their sum is divisible by 39 is
If a number k is of the form 18 m + 7 for some integer m then the remainder when k is divided by 6 is
The largest number m such that the numbers 947, 639 and 1051 leave the same remainder when divided by m is
The number of pairs of positive integers a and b such that a + b = 594 and gcd (a, b) = 27 is
The rational number r that becomes $$\frac{1}{2}$$ when 1 is subtracted from the numerator and becomes $$\frac{3}{5}$$ when 1 is subtracted from the denominator is
The descending order of the fractions $$\frac{8}{13}, \frac{5}{12}, \frac{9}{11}$$ and $$\frac{7}{15}$$ is
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