yes it is solid
it has the property of elasticity, and it changes back to the original shape when the stress is relieved.
in fact every solid has some elasticity and elastic limit, if the solid is stretched beyond the elastic limit then there will be permanent deformation. elastic limit is defined or given as the young's modulus of elasticity and the stress-strain graph. while the liquid take the shape of container but solid rubber will not...also liquid do not change the shape with stress and don't come back to original shape like that in case of rubber. liquids flow but rubber does not.
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