Question 34

When $$2^{256}$$ is divided by 17, the remainder would be

Solution

$$2^4 = 16 = -1$$ (mod $$17$$)
So, $$2^{256} = (-1)^{64} $$(mod $$17$$)
$$= 1$$ (mod $$17$$)
Hence, the answer is 1. Option a).

Video Solution

video

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 38+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

cracku

Boost your Prep!

Download App