Quantitative Aptitude • Number System & SimplificationMedium
A number leaves a remainder of 39 when divided by 49. What remainder will it leave when divided by 7?
A. 4✓ Correct Answer
B. 6
C. 39
D. 5
💡 Solution & Explanation
The number can be written as 49n + 39 for some whole number n. Since 49 = 7 × 7, the part 49n divides exactly by 7. So only 39 matters: 39 ÷ 7 leaves a remainder of 4. This works only because 7 is a factor of 49.
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