When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?  Choose the correct choice from the following choices
A) 349 B) 300 C) 500 D) 450 E) 250

Rationale: x = 13 p + 11 and x = 17 q + 9 13 p + 11 = 17 q + 9 17 q - 13 p = 2 q = 2 + 13 p / 17 least value of p which q = 2 + 13 p / 17 = > 26 x = ( 13 * 26 + 11 ) = 349 answer a
Answer: A