{Step 1: Understand what a depositary is.}
A depository is an institution that holds securities (like shares, debentures, bonds) in electronic form. It facilitates trading and transfer of securities without physical certificates.
{Step 2: Identify the depositories in India.}
India has two main depositories:
NSDL (National Securities Depository Limited): The first depository in India, promoted by IDBI, UTI, and NSE
CDSL (Central Depository Services (India) Limited): The second depository, promoted by BSE and other financial institutions
{Step 3: Identify which depositary is associated with NSE.}
National Stock Exchange (NSE) is associated with NSDL (National Securities Depository Limited)
Bombay Stock Exchange (BSE) is associated with CDSL (Central Depository Services Limited)
{Step 4: Analysis of each option.}
(A) National Securities Depository Limited: {Correct.} NSDL is the depository for the National Stock Exchange (NSE).
(B) Central Depository Services (India) Limited (CDSL): Incorrect. CDSL is the depository for BSE (Bombay Stock Exchange).
(C) ISIN (International Securities Identification Number): Incorrect. ISIN is a unique identification number for securities, not a depository.
(D) National Depository Securities Limited (NDSL): Incorrect. This is not a valid depository name in India. The correct name is NSDL.
{Step 5: Conclusion.}
The depository associated with the National Stock Exchange (NSE) is the National Securities Depository Limited (NSDL).
{ Final Answer:} (A) National Securities Depository Limited