When 242 is divided by a certain divisor the remainder obtained is 15. When 698 is divided by the same divisor the remainder obtained is 27. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor? Choose the correct option:	A) 11	B) 17	C) 13	D) 23	E) 37
let that divisor be x   since remainder is 15 or 27 it means divisor is greater than 27.   now  242-15= 
<gadget id="calculator"> 242-15</gadget>
<output>227</output>
227=kx (k is an integer and 234 is divisble by x)   similarly  698-27= 
<gadget id="calculator"> 698-27</gadget>
<output>671</output>
671= lx (l is an integer and 689 is divisible by x)   adding both 698 and 242   = (227+671)+15+27   =x(k+l) + 42   when we divide this number by x then remainder will be equal to remainder of (42 divided by x) = 5 hence x = 42-5= 
<gadget id="calculator">42-5</gadget>
<output>37</output>
37   hence 37
<result>E</result>
When 242 is divided by a certain divisor the remainder obtained is 15. When 698 is divided by the same divisor the remainder obtained is 27. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?