La entrevista
Logic
Level
2
There are five houses (1, 2, 3, 4, 5) situating next to each other. Four interviewers (P, Q, R, T) is due to visit one of these houses. Provided that:
- One house separated the house P and Q are visiting
- Two houses separated the house R and T are visiting
- No two interviewers are visiting the same house at any one time.
What house is likely not to be visited by any of the interviewers?
1, 2 and 3
1 and 3
2 and 4
2, 4 and 5
2 and 5
3 and 5
All 5 houses
3 and 4
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1 solution
Solution:
According to 1) the possible houses P and Q are visiting are (1,3) , (2,4) and (3,5) .
According to 2) the possible houses R and T are visiting are (1,4) and (2,5) .
Assuming R and T to be visiting (1,4) P and Q cannot visit (1,3) and (2,4) as that would violate 3) therefore only one possible is (3,5) . Therefore in this case the one that is not visited is 2.
Similarly if we take R and T to be visiting (2,5) we get the only house left out as 4.
Hence the solution is 2 and 4.