Question

P, Q, R, S, T, U and V are bees living in separate cells of a 2D hive made of hexagonal cells. T and V are neighbours of P. R and S are neighbours of U. V does not share a wall with T, U or R. Q, being the queen, shares a wall with everyone. Which of the options must be TRUE?

• A. S and V are neighbours
• B. R and T are neighbours
• C. P and U share a wall
• D. S and T are not neighbours

Answer 1

The Correct Option is A, B, D

To solve the problem, follow these logical steps:

1. First, place Q in the center, as it is the queen and shares a wall with everyone.
2. Place P adjacent to Q. Because T and V are neighbors of P, position T and V on two sides of P around Q.
3. V cannot share a wall with T, U, or R, which means V must be placed in a position adjacent only to P and Q.
4. S and R are neighbors of U, so they must occupy positions around U.
5. Since V only shares a wall with P and Q, it leaves U, along with S and R, to be positioned around Q.
6. Based on these arrangements, evaluate each statement:

S and V are neighbors:	True, based on the positioning of V, if S is adjacent to Q.
R and T are neighbors:	True, as R can be placed next to U and near T.
P and U share a wall:	False, because U is positioned at a distance such that R and S are adjacent to it.
S and T are not neighbors:	True, S being on the opposite side of the hive from T.