How many two-digit numbers yield a remainder of 1 when divided by both 4 and 17?
Answers:  A) 0  B) 1  C) 2  D) 3  E) 4
Easier to start with numbers that are of the form 17p+1 ---&gt; 18,35,52,69,86.   Out of these, there is only one (69) is also of the form 4q+1. Thus 1 is the answer. 1 is the correct answer.
<result>B</result>
How many two-digit numbers yield a remainder of 1 when divided by both 4 and 17?