How many two-digit numbers yield a remainder of 3 when divided by both 4 and 14?  Choices
A) 0  B) 1  C) 2  D) 3  E) 4
Easier to start with numbers that are of the form 14p+3 ---&gt; 17,31,45,59,73,87.   Out of these 3 (31,59,87) are also of the form 4q+3. Thus 3 is the answer. 3 is the correct answer.
<result>D</result>
How many two-digit numbers yield a remainder of 3 when divided by both 4 and 14?