Question
If N=702730+302780 is divisible by 10x (x is a natural number), find the rightmost non-zero integer in the remainder when N is divided by 10x+1 (if x is maximum).
Answer: Option C
:
C
The question is based on the last non-zero digit (i.e. remainder when the number is divided by 10), as when x is maximum, 10x will cancel out all the zeroes in the end.
It now becomes a question based on the rightmost non-zero integer in 72730 (302780 will end with more zeroes).
72730⟹2730=4K+2
Thus, the rightmost non-zero integer is 9.
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:
C
The question is based on the last non-zero digit (i.e. remainder when the number is divided by 10), as when x is maximum, 10x will cancel out all the zeroes in the end.
It now becomes a question based on the rightmost non-zero integer in 72730 (302780 will end with more zeroes).
72730⟹2730=4K+2
Thus, the rightmost non-zero integer is 9.
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