When 242 is divided by a certain divisor the remainder obtained is 4. When 698 is divided by the same divisor the remainder obtained is 8. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 7. What is the value of the divisor?  Choose the correct choice from the following:  A) 5  B) 17  C) 13  D) 23  E) None of these
let that divisor be x   since remainder is 4 or 8 it means divisor is greater than 8.   now  242-4= 
<gadget id="calculator"> 242-4</gadget>
<output>238</output>
238=kx (k is an integer and 234 is divisble by x)   similarly  698-8= 
<gadget id="calculator"> 698-8</gadget>
<output>690</output>
690= lx (l is an integer and 689 is divisible by x)   adding both 698 and 242   = (238+690)+4+8   =x(k+l) + 12   when we divide this number by x then remainder will be equal to remainder of (12 divided by x) = 7 hence x = 12-7= 
<gadget id="calculator">12-7</gadget>
<output>5</output>
5   hence 5
<result>A</result>
When 242 is divided by a certain divisor the remainder obtained is 4. When 698 is divided by the same divisor the remainder obtained is 8. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 7. What is the value of the divisor?