We can eliminate options to get answer, but complete procedure-
Case 1:If house number is out of range 50-79, then
- Number has to be Multiple of 4 and 6
- Number must NOT be multiple of 3
But any number which is multiple of 6 will be multiple of 3.Hence no number out of range 50-79 satisfies required conditions.
Case 2:If house number is in range 50-59, then
- Number has to be Multiple of 4 =>52,56 are possible
- Number has to be Multiple of 6 =>both 52 and 56 fails.
Hence no number in range 50-59 satisfies required conditions.
Case 3:If house number is in range 60-69, then
- Number has to be Multiple of 6 =>60,66 are possible
- Number must NOT be multiple of 3 =>both 60 and 66 fails
Hence no number in range 60-69 satisfies required conditions.
Case 4:If house number is in range 70-79, then
- Number has to be Multiple of 4 =>72 and 76 are possible
- Number must NOT be multiple of 3 =>72 fails
Hence only House number satisfying all the conditions is ‘76’.
Answer:option D. 76