Discussion

When a number divided by 342 gives remainder 47. When the same number is divided by 19, what would be the remainder?

Answer: B

On dividing the given number by 342, let kk be the quotient and 47 as remainder.

Then,

number−342k+47=(19×18k+19×2+9)number−342k+47=(19×18k+19×2+9)

=19(18k+2)+9=19(18k+2)+9

⇒ The given number when divided by 19, gives 18k+218k+2 as quotient and 9 as remainder.

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