Question

Index of the highest power of 3 that divides $\angle 50$ is

• A. 16
• B. $\angle 16$
• C. 22
• D. None of these

Answer 1

Answer: (C)

22

Answer 2

Index of highest power of 3 that divides $\angle 50$.

= $\left\lbrack \frac{50}{3} \right\rbrack + \left\lbrack \frac{50}{3^{2}} \right\rbrack + \left\lbrack \frac{50}{3^{3}} \right\rbrack + \left\lbrack \frac{50}{3^{4}} \right\rbrack$ + ...

= 16 + 5 + 1 = 22