A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of :
A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of :
[A]2
[B]7
[C]10
[D]19
2
On dividing the given number by 119, let k be the quotient and 19 as remainder.
Then, number = 119k + 19
$latex = 17\times 7k+17\times 1+2$
$latex = 17\left ( 7k+1 \right )+2$
Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder. Hence option [A] is right answer.