If n is a 36-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 36	Choose the correct choice from the following answers:
A) I only
B) I and II only
C) I ,II and III only
D) II and III only
E) III
Rule for divisibility by 3: The sum of the digits of the number should be multiple of 3   Rule for divisibility by 9: The sum of the nos digits of the number should be divisible by 9 or the number should be divisible by 3 two times.   Rules for divisibility by 36: The sum of the digits should a multiple of 36   Consider no 11111111...36 times = The sum 36*1= 
<gadget id="calculator">36*1</gadget>
<output>36</output>
36----&gt; divisbible by 3,9 and 36   consider number to be 222....36 times, then sum of the no. 36*2=72 divisibly by 3,9 and 36   So why so because when you sum the numbers either you can add the digits 36 times or multiply the digit *36..   Note that since 36 is divisble by 36,9 and 3 and thus the sum of the nos will be divisible by all the nos.   Ans is I ,II and III only
<result>C</result>
If n is a 36-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 36