A number when divided by 342 gives a remainder 47. When the same number if it divided by 19, what would be the remainder ? Choose one.
A) 1
B) 2
C) 5
D) 9
E) 11

Rationale: "on dividing the given number by 342 , let k be the quotient and 47 as remainder . then , number – 342 k + 47 = ( 19 x 18 k + 19 x 2 + 9 ) = 19 ( 18 k + 2 ) + 9 .  the given number when divided by 19 , gives ( 18 k + 2 ) as quotient and 9 as remainder . answer d"
Answer: D