Property identification: Evaluate the statement — “Malleability is the property of a material due to which it can be rolled or hammered into thin sheets.”

Introduction / Context:
Precise property terminology avoids design mistakes. Malleability and ductility both describe plasticity, but in different loading modes. Malleability specifically refers to plastic deformation under compressive actions like rolling, hammering, or pressing into sheet or foil.

Given Data / Assumptions:

• The statement associates malleability with forming thin sheets.
• Plastic deformation under compression is implied.
• Room-temperature behaviour is assumed unless otherwise stated.

Concept / Approach:
Malleability is the ability to withstand compressive plastic deformation without cracking, enabling processes like rolling sheet, coin striking, and foil making. Ductility, by contrast, concerns tensile plastic deformation (e.g., wire drawing). Materials such as gold, silver, and annealed copper show very high malleability and can be hammered into extremely thin leaf while remaining intact.

Step-by-Step Solution:
Clarify definitions: malleability → compression; ductility → tension.Connect to process: sheet/foil production relies on compressive deformation.The statement aligns perfectly with the accepted definition.Conclude that “Agree” is correct.

Verification / Alternative check:
Manufacturing practice confirms that metals known as malleable (e.g., Au, Ag, Cu, Al) are rolled/hammered into thin sections without cracking when properly annealed.

Why Other Options Are Wrong:
Limiting to cast irons is incorrect; many cast irons are not malleable in this sense.

Calling it ductility confuses compression with tension behaviour.

Restricting to cryogenic temperatures is unnecessary and often counterproductive (many metals lose ductility then).

Common Pitfalls:
Using ductility and malleability interchangeably; ignoring the loading mode that differentiates these properties.

Final Answer:
Agree