Quantitative Aptitude • Number System & SimplificationMedium
A number leaves a remainder of 15 when divided by 24. What remainder will it leave when divided by 6?
A. 4
B. 15
C. 3✓ Correct Answer
D. 5
💡 Solution & Explanation
The number can be written as 24n + 15 for some whole number n. Since 24 = 6 × 4, the part 24n divides exactly by 6. So only 15 matters: 15 ÷ 6 leaves a remainder of 3. This works only because 6 is a factor of 24.
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