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A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?
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Let the given number be x and a is remainder when x is divided by 19. Thus x=a mod(19).It is also given that x leaves remainder 47 when divided br 342.Thus x=47 mod(342). Hence x=342+47=389 and a=19*(-2)+47=9. Thus same number leaves remainder 9 when divided by 19
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