UPSC CSE 2024 · PYQ · Number System / Unit Digit · medium
What is the rightmost digit preceding the zeros in the value of 30^30?
A.1
B.3
C.7
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.
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