A number when divided by x leaves a remainder 6 and when divided by 5x leaves a remainder of 42. What will be the remainder when 9 times the number is divided by 5x?
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Answer:
n mod x = 6
n mod 5x = 42
9n mod 5x
= {(9 mod 5x)*(n mod 5x)} mod 5x
= 9*42 mod 5x
= 378 mod 5x
30 24 12 rem nahi ho sakta bcoz 378 - 30 or 24 or 12 is not a multiple of 5 so ans is 18
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