If n is a 27-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 27
Options:
A) I only	B) I and II only	C) I and III only	D) II and III only	E) I, II and 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 27: The sum of the digits should a multiple of 27   Consider no 11111111...27 times = The sum 27*1= 
<gadget id="calculator">27*1</gadget>
<output>27</output>
27----&gt; divisbible by 3,9 and 27   consider number to be 222....27 times, then sum of the no. 27*2=54 divisible by 3,9 and 27   So why so because when you sum the numbers either you can add the digits 27 times or multiply the digit *27..   Note that since 27 is divisible by 27,9 and 3 and thus the sum of the nos will be divisible by all the nos.   Answer is I, II and III
<result>E</result>
If n is a 27-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 27