Sarkari RiseLogin
NDA 2024 · PYQ · Number Theory / Modular Arithmetic · easy

What is the remainder when 2^120 is divided by 7?

  1. A.1✓ Correct
  2. B.3
  3. C.5
  4. D.6

Explanation

2³ = 8 ≡ 1 (mod 7). So 2^120 = (2³)^40 = 1^40 = 1 (mod 7). The remainder is 1.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →

Want more NDA practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Number Theory / Modular Arithmetic practice