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 G and H are placed in the south hall, which of the following must also be placed in the south had?
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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: G (Oil) and H (Oil) are in South Hall. South Hall has 2 Oil, 0 Acrylic. Remaining slots for South Hall: 1. Max 2 Acrylics. Since G is in South, U **must** be in North. Since H is in South, R **must** be in North. North Hall must contain: U (Acrylic), R (Acrylic). North Hall has 2 Acrylics (max reached). The remaining Acrylic (S) **must** be in the South Hall. South Hall must contain: G, H, S. This fills the 3 slots (2 Oil, 1 Acrylic). The remaining paintings (F, J) are in the North Hall. S **must** be placed in the south hall.