when a number is divided by 13,the remainder is 11.When the same number is divided by 17,the remainder is 9.What is the number ?
Choose the correct choice from the following.
A) 389 B) 356 C) 380 D) 350 E) 349

Rationale: "x = 13 p + 11 and x = 17 q + 9 13 q + 11 = 17 q + 9 17 q - 13 q = 2 q = 2 + 13 q / 17 the least value of p for which q = 2 + 13 q / 17 is a whole number is p = 26 x = ( 13 * 26 * 11 ) = ( 338 + 11 ) = 349 . answer is e"
Answer: E