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Question


A number when divided by 247 leaves a remainder 91. What will be the remainder if the number is divided by 19?


Options:
A .   12
B .   17
C .   15
D .   18
Answer: Option C
:
C

Conventional Solution: -Let the number be N


N = 247K + 91


247 is divisible by 19.


If N is divide by 19. Remainder will be 91 – 76 = 15.


Alternate solution :


247 is divisible by 19. The first number , N would be 247+91 = 338. 338 when divided by 19 gives remainder 15.



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