If the sum of n consecutive positive integers is 33, what of the following could be the value of n?
I. 3
II. 6
III. 11 Choose the correct answer:
A) I only
B) II only
C) III only
D) I and II
E) I, II and III
solved it the way bunuel explained, although took some time to arrive to the answer choice.   3 -&gt; 10+11+12=33.   6 -&gt;3+4+5+6+7+8=33.   11 -&gt; since we are told that we have a set of n consecutive POSITIVE numbers, we can have the smallest possible numbers:   1+2+3+4+5+6+7+8+9+10+11 - the sum is way over 33, it is actually 11*12/2 6 - 3+4+5+6+7+8= 
<gadget id="calculator">6 - 3+4+5+6+7+8</gadget>
<output>33</output>
33.   11 -&gt; since we are told that we have a set of n consecutive POSITIVE numbers, we can have the smallest possible numbers:   1+2+3+4+5+6+7+8+9+10+11 - the sum is way over 33, it is actually 11*12/2= 11*6= 
<gadget id="calculator">11*6</gadget>
<output>66</output>
66.   thus, only I and II works. the answer is I and II
<result>D</result>
If the sum of n consecutive positive integers is 33, what of the following could be the value of n?
I. 3
II. 6
III. 11