When the positive integer r is divided by 11, the quotient is s and the remainder 3. When r is divided by 19, the remainder is also 3. What is the remainder when s is divided by 19?  Options:
A) 4  B) 3  C) 2  D) 1  E) 0
Any Number which when divided by divisor d1,d2, etc. leaving same remainderrtakes the form ofK+r   where k = LCM (d1,d2)   In this case the divisors are 1119 and remainder is 3.   so LCM (11,19) = 209   So N= 209+3= 
<gadget id="calculator">209+3</gadget>
<output>212</output>
212   Also r=d1q+3 ; which means d1q=209d1=11 therefore q=19   And ( s divided by 19)19/19 leaves remainder 0.   Answer is 0
<result>E</result>
When the positive integer r is divided by 11, the quotient is s and the remainder 3. When r is divided by 19, the remainder is also 3. What is the remainder when s is divided by 19?