A four digit number divisible by 7 becomes divisible by 3 when 16 is added to it. The largest such number is :
Choose one:
A) 8847
B) 8853
C) 8871
D) 8856
E) 8897
Out of all the 5 options, only 8897 is NOT divisible by 3. All others are divisible   So Answer = 8897 (No further calculation required)   Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3   16 is non-divisible by 3; we are adding a number to that so that the resultant becomes divisible by 3   Applying the above rule,It means that the number which we are going to add should be non-divisible by 3   So comes the answer = 8897   Answer : 8897
<result>E</result>
A four digit number divisible by 7 becomes divisible by 3 when 16 is added to it. The largest such number is :