Quantitative Aptitude • Number System & SimplificationMedium
A number leaves a remainder of 17 when divided by 48. What remainder will it leave when divided by 6?
A. 5✓ Correct Answer
B. 2
C. 17
D. 1
💡 Solution & Explanation
The number can be written as 48n + 17 for some whole number n. Since 48 = 6 × 8, the part 48n divides exactly by 6. So only 17 matters: 17 ÷ 6 leaves a remainder of 5. This works only because 6 is a factor of 48.
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