When a positive integer A is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
Choose one
A) 14	B) 28	C) 33	D) 42	E) 49
A = 11k+1 = 3j+2   B = 11m+1 = 3n+2   A-B = 11(k-m) = 3(j-n)   A-B is a multiple of both 11 and 3, so it is a multiple of 33.   The answer is 33.
<result>C</result>
When a positive integer A is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?