diff --git a/src/Test/UnitTests/constraints.jl b/src/Test/UnitTests/constraints.jl
index 920fb7f5b2..74ac63813e 100644
--- a/src/Test/UnitTests/constraints.jl
+++ b/src/Test/UnitTests/constraints.jl
@@ -310,3 +310,54 @@ function solve_affine_deletion_edge_cases(model::MOI.ModelLike, config::TestConf
     )
 end
 unittests["solve_affine_deletion_edge_cases"] = solve_affine_deletion_edge_cases
+
+function solve_zero_one_with_bounds_1(model::MOI.ModelLike, config::TestConfig)
+    MOI.empty!(model)
+    MOIU.loadfromstring!(model,"""
+        variables: x
+        maxobjective: 2.0x
+        c1: x in ZeroOne()
+        c2: x >= 0.0
+        c3: x <= 1.0
+    """)
+    x = MOI.get(model, MOI.VariableIndex, "x")
+    test_model_solution(model, config;
+        objective_value   = 2.0,
+        variable_primal   = [(x, 1.0)]
+    )
+end
+unittests["solve_zero_one_with_bounds_1"] = solve_zero_one_with_bounds_1
+
+function solve_zero_one_with_bounds_2(model::MOI.ModelLike, config::TestConfig)
+    MOI.empty!(model)
+    MOIU.loadfromstring!(model,"""
+        variables: x
+        maxobjective: 2.0x
+        c1: x in ZeroOne()
+        c2: x >= 0.0
+        c3: x <= 0.5
+    """)
+    x = MOI.get(model, MOI.VariableIndex, "x")
+    test_model_solution(model, config;
+        objective_value   = 0.0,
+        variable_primal   = [(x, 0.0)]
+    )
+end
+unittests["solve_zero_one_with_bounds_2"] = solve_zero_one_with_bounds_2
+
+function solve_zero_one_with_bounds_3(model::MOI.ModelLike, config::TestConfig)
+    MOI.empty!(model)
+    MOIU.loadfromstring!(model,"""
+        variables: x
+        maxobjective: 2.0x
+        c1: x in ZeroOne()
+        c2: x >= 0.2
+        c3: x <= 0.5
+    """)
+    x = MOI.get(model, MOI.VariableIndex, "x")
+    if config.solve
+        MOI.optimize!(model)
+        @test MOI.get(model, MOI.TerminationStatus()) == MOI.INFEASIBLE
+    end
+end
+unittests["solve_zero_one_with_bounds_3"] = solve_zero_one_with_bounds_3
diff --git a/test/Test/unit.jl b/test/Test/unit.jl
index e0b2c9313e..11051277ea 100644
--- a/test/Test/unit.jl
+++ b/test/Test/unit.jl
@@ -38,7 +38,10 @@ end
             "solve_integer_edge_cases",
             "solve_objbound_edge_cases",
             "raw_status_string",
-            "solve_time"
+            "solve_time",
+            "solve_zero_one_with_bounds_1",
+            "solve_zero_one_with_bounds_2",
+            "solve_zero_one_with_bounds_3"
             ])
         MOI.empty!(model)
     end
@@ -306,6 +309,26 @@ end
         MOIT.solve_time(mock, config)
     end
 
+    @testset "solve_zero_one_with_bounds" begin
+        MOIU.set_mock_optimize!(mock,
+            (mock::MOIU.MockOptimizer) -> begin
+                MOIU.mock_optimize!(
+                    mock, MOI.OPTIMAL, (MOI.FEASIBLE_POINT, [1.0])
+                )
+            end,
+            (mock::MOIU.MockOptimizer) -> begin
+                MOIU.mock_optimize!(
+                    mock, MOI.OPTIMAL, (MOI.FEASIBLE_POINT, [0.0])
+                )
+            end,
+            (mock::MOIU.MockOptimizer) -> begin
+                MOIU.mock_optimize!(mock, MOI.INFEASIBLE)
+            end
+        )
+        MOIT.solve_zero_one_with_bounds_1(mock, config)
+        MOIT.solve_zero_one_with_bounds_2(mock, config)
+        MOIT.solve_zero_one_with_bounds_3(mock, config)
+    end
 end
 
 @testset "modifications" begin