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 F and G are placed in the north hall, which of the following groups could 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: F (Oil) and G (Oil) are in North Hall. North Hall: 4 slots. F, G fill 2 slots (2 Oil, 0 Acrylic). South Hall: 3 slots. R, S, U (3 Acrylics) must be split. The maximum acrylics in North Hall is 2. The maximum acrylics in South Hall is 2. If U is in North, G can't be in North (Contradicts given: G is in North). Therefore, U **must** be in the South Hall. South Hall has 1 Acrylic (U). The remaining 2 Acrylics (R, S) must be split between the halls. Max 2 Acrylics in South Hall. South Hall could have U and R, or U and S. If R is in North, H must be in South. If R is in South, H must be in North. Check Options: A) H, J, S (1 Oil, 1 Oil, 1 Acrylic, F, G, R, U North - F,G, R, U North (3 Acrylics - Fails)). B) H, J, U (1 Oil, 1 Oil, 1 Acrylic - 3 total, 1 Acrylic, 2 Oil. North: F, G, R, S (2 Oil, 2 Acrylic - OK)). This works. South: H(Oil), J(Oil), U(Acrylic). North: F(Oil), G(Oil), R(Acrylic), S(Acrylic). U is in South, G is in North (OK). H is in South, R is in North (OK). This is a possible arrangement, so B could be placed in the south hall.