Sarkari RiseLogin
UPSC CSE 2024 · PYQ · Number System / Unit Digit · medium

What is the rightmost digit preceding the zeros in the value of 30^30?

  1. A.1
  2. B.3
  3. C.7
  4. D.9✓ Correct

Explanation

30^30 = 3^30 × 10^30. The 10^30 contributes 30 trailing zeros. The digit preceding these zeros is the unit digit of 3^30. The cyclicity of unit digit of 3 is: 3, 9, 7, 1 (cycle of 4). 30 mod 4 = 2, so unit digit of 3^30 is 9. Hence the rightmost digit preceding the zeros is 9.
💡 Practice unlimited UPSC CSE PYQs + AI-tracked progress on each topic. Sign up free →

More Number System / Unit Digit questions

Want more UPSC CSE practice?

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

Sign up freeMore Number System / Unit Digit practice