When m is divided by 7, the remainder is 5. When m is divided by 13, the remainder is 6. If 1 < m < 200, what is the greatest possible value of m?  Choose the correct choice from the following answers:	A) 5	B) 19	C) 61	D) 74	E) 110
Answer is E.   I started with E.110 and it fits the bill . 105 is divisible by 7 and 104 is divisible by 13. so its E.   Modular approach would be the proper way, but this worked at first attempt.
<result>E</result>
When m is divided by 7, the remainder is 5. When m is divided by 13, the remainder is 6. If 1 < m < 200, what is the greatest possible value of m?