Quantitative Aptitude • Number System & SimplificationMedium
A number leaves a remainder of 76 when divided by 81. What remainder will it leave when divided by 9?
A. 5
B. 4✓ Correct Answer
C. 6
D. 76
💡 Solution & Explanation
The number can be written as 81n + 76 for some whole number n. Since 81 = 9 × 9, the part 81n divides exactly by 9. So only 76 matters: 76 ÷ 9 leaves a remainder of 4. This works only because 9 is a factor of 81.
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