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A positive integer N leaves a remainder of 1 when divided by 3, a remainder of 2 when divided by 4, and a remainder of 3 when divided by 5. What is the smallest such N?
A. 57
B. 58
C. 59
D. 60
E. 61
A. 57
B. 58
C. 59
D. 60
E. 61
GraemeGmatPanda
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22 Jun 2025, 08:32
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A remainder of 3 when divided by 5 ==> the number must end in 3 or 8 (since numbers divisible by 5 end in either 0 or 5)
A remainder of 2 when divided by 4 ==> the number is even
Therefore the number has to end in 8
Answer B!
A remainder of 2 when divided by 4 ==> the number is even
Therefore the number has to end in 8
Answer B!
HarshaBujji
