A given positive integer is divided by 9 with a remainder of 5. The same integer when divided by 12 has a remainder of 3. What is the remainder if the it integer is divided by 35. Choose the correct choice:  A) Between 1 and 4, inclusive  B) Between 5 and 7, inclusive  C) Between 8 and 10, inclusive  D) 5  E) 1
Put in real numbers.   Let the integer be x   9x+5= 12x+3   Start 9x+5 --&gt;14, 23, 32,....41...   Of these only 41 fit the description 12x+3. The remainder when divided by 35 is 6. So answer is B).   Answer = Between 5 and 7, inclusive)
<result>B</result>
A given positive integer is divided by 9 with a remainder of 5. The same integer when divided by 12 has a remainder of 3. What is the remainder if the it integer is divided by 35.