Mechanical Engineering - Strength of Materials - Discussion

Well, I think the question has more meaning if the material is brittle not the ductile. With tensile and compressive loading the ductile material behaves almost same proportional limit or hooke's law as in tensile test the necking in specimen develops and fracture may occur but in compression we see the bulging of short specimen and almost flattening at high stresses as increase in load and the deformation comes in form of bulging not in the crack or fracture. I believe if answer [C] is correct then is possible only if the work hardening of ductile material in tension is more/ higher compared to compression.

For uneven ductile material it is possible and with brittle materials the compressive strength is much higher than tensile strength.

No, tensile strength can never be more than compressive, it may be equal which is in most case for the ductile material.

Shouldn't the compressive strength be higher? Please explain in detail.