What least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6 ? Choose the correct answer:
A) 2	B) 3	C) 6	D) 10	E) 11

Rationale: "the lcm of 9 , 11 , and 13 is 1,287 . the next multiple is 2 * 1,287 = 2,574 . 2,574 + { remainder } = 2,574 + 6 = 2,580 , which is 10 less than 2,590 . answer : d ."
Answer: D