An artist is planning to exhibit his paintings in an auditorium. Seven paintings - F, G, H, J, R, S and U are to be exhibited, three in the south hall and four in the north hall. Four of the paintings - F, G, H, J are oil paintings and three - R, S and U are acrylic paintings. The artist will satisfy the following requirements in setting up the exhibit: Each hall will exhibit at most two acrylic paintings. G cannot be exhibited in the same hall as U. H cannot be exhibited in the same hall as R. If U and R are placed in the north hall, which of the following groups must be placed in the south hall?
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Explanation: Total: 7 paintings (4 Oil: F, G, H, J; 3 Acrylic: R, S, U). South Hall: 3 paintings, max 2 Acrylic. North Hall: 4 paintings, max 2 Acrylic. Given: U (Acrylic) and R (Acrylic) are in North Hall. North Hall has 2 Acrylics (max reached). Remaining Acrylic (S) **must** be in the South Hall. Rule: G cannot be with U. Since U is in North Hall, G **must** be in South Hall. Rule: H cannot be with R. Since R is in North Hall, H **must** be in South Hall. South Hall must contain: S, G, H. This fills the 3 slots (2 Oil: G, H; 1 Acrylic: S). The remaining painting F, J are in the North Hall. The group **must** be G, H, and S.