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
The number of positive divisors of 37800 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?
$$\frac{1.75 \times 1.75 \times 1.75 + 1.25 \times 1.25 \times 1.25}{1.75 \times 1.75 - 1.75 \times 1.25 + 1.25 \times 1.25} =$$
0.333 ..........+0.444 ........ =
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 $$\frac{6}{11}, \frac{5}{14}, \frac{9}{10}, \frac{8}{13}, \frac{7}{9}, ?$$
If 2a% of b is c then 3a% of 5b is?