Solve this following


If $\{p\}$ denotes the fractional part of the number

$\mathrm{p}$, then $\left\{\frac{3^{200}}{8}\right\}$, is equal to


  1. $\frac{1}{8}$

  2. $\frac{5}{8}$


  3. $\frac{3}{8}$

  4. $\frac{7}{8}$

Correct Option: 1




$=\left\{\frac{1+{ }^{100} C_{1} \cdot 8+{ }^{100} C_{2} \cdot 8^{2}+\ldots+{ }^{100} C_{100} 8^{100}}{8}\right\}$

$=\left\{\frac{1+8 m}{8}\right\}$



Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now