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For the following questions answer them individually
If $$a = \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$$ and $$b = \frac{\sqrt{3} + 1}{\sqrt{3} - 1}$$ then the value of $$\frac{a^2 - ab + b^2}{a^2 + ab + b^2}$$ is
The greatest integer not exceeding 2180 whichis divisible by 13 is
What is the least square number which is divisible by 3, 4, 5 and 6?
If 398, 436 and 542 are divided by k the respective remainders are 7. 11 and 15 then the largest value of k is?
$$\frac{1.75 \times 1.75 \times 1.75 + 1.25 \times 1.25 \times 1.25}{1.75 \times 1.75 - 1.75 \times 1.25 + 1.25 \times 1.25} =$$
If $$a = \frac{22}{5}, b = \frac{32}{7}, c = \frac{50}{11}$$ and $$d = \frac{57}{13}$$ then
What is the ascending orderof the fractions $$\frac{6}{11}, \frac{5}{14}, \frac{9}{10}, \frac{8}{13}, \frac{7}{9}, ?$$
