(C) Rights Issue
A Rights Issue is when a listed company offers fresh securities to its existing shareholders in a fixed ratio to shares currently held. Jaykant holds 100 shares and is offered new shares at 2:1, which matches this definition exactly.
Source: Chapter 3, Issue of Shares — Rights Issue
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The key clue is "existing shareholder" + "fixed ratio (2:1) based on shares currently held" — this is the defining feature of a Rights Issue. IPO is for unlisted companies; Offer for Sale and Private Placement do not involve existing shareholders receiving a proportional offer. Examiners expect you to identify the method and give a one-line justification.