Question 1133189
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The sum of the 6 smallest even numbers is 2+4+6+8+10+12 = 42.  Since the sum of the 6 house numbers already on the street is 38, the houses in the problem are not even numbers.<br>
The sum of the 6 smallest odd numbers is 1+3+5+7+9+11 = 36.  For the sum of the house numbers already on the street to be 38, the house numbers have to be 1, 3, 5, 7, 9, and 13.<br>
So the house number of the newly built house is odd -- either answer B (11) or answer C (13).  But 13 is the number of one of the houses already on the street.<br>
So the house number of the newly built house will be 11 -- answer B.