A

2010008304

Level: 
A
At the beginning of the therapy, three monitored patients were of the same weight. Their weights were changing as follows: (a) Patient A gained \(6\%\) of his weight and then his weight did not change. (b) Patient B lost \(2\%\) of his weight first, but later he gained \(8\%\) of his weight. (c) Patient C gained \(2\%\) of his weight and later he gained another \(4\%\) of his weight. Which patient has the lowest weight after the therapy?
Patient B
Patient A
Patient C
After described weight changes everyone will weigh the same.

2010010403

Level: 
A
Given complex numbers \[ a = \sqrt{2} + \mathrm{i},\ \quad b = {2} -\sqrt{3}\mathrm{i},\ \] find \(\frac{a} {b}\).
\(\frac{2\sqrt{2}-\sqrt{3}} {7} + \mathrm{i}\frac{\sqrt{6}+2} {7} \)
\(\frac{2\sqrt{2}-\sqrt{3}} {7} - \mathrm{i}\frac{\sqrt{6}+2} {7} \)
\(\frac{2\sqrt{2}+\sqrt{3}} {4} + \mathrm{i}\frac{\sqrt{6}-2} {4} \)
\(\frac{\sqrt{2}-\sqrt{6}} {3} + \mathrm{i}\frac{\sqrt{3}+2} {3} \)