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.