Q. A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of :
Answer: 2
Notes: 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.

2