Step 1: Understand the nickname 'Silicon Valley of India'.
The original Silicon Valley in California, USA, is synonymous with the global technology and IT industry. India has its own equivalent hub.
Step 2: Identify the city.
Bengaluru (Bangalore) is called the Silicon Valley of India because it is home to a vast number of IT companies, startups, R&D centres, and multinational technology corporations, making it India's premier technology hub.
Step 3: Eliminate other cities.
Mysuru, Chennai, and Hyderabad are important cities but do not carry this specific nickname.
\[ \boxed{\text{Bengaluru}} \]