Step 1: Start with the Jain link.
The Jain practice of varshi tap ends on Akshaya Tritiya. Followers break the year-long fast with sugarcane juice, to recall the first Tirthankara.
Step 2: Use it to cut options.
Jain appears in options 1 and 3. Options 2 and 4 are removed.
Step 3: Decide between 1 and 3.
Option 3 says Buddhism and Jain. Buddhist festivals follow days such as Buddha Purnima, not Akshaya Tritiya. So option 3 is wrong.
Step 4: Confirm the Hindu link.
Hindus buy gold, start new work and give alms on this day. Option 1 includes Hindu, so it is correct.
Step 5: Extra memory aid.
Remember the two links: Parashurama jayanti for Hindus and the end of the varshi tap for Jains. A student who recalls these two facts will always pick the Hindu and Jain pair. Buddhists and Muslims have their own festival calendars, and Akshaya Tritiya is not on them, so any option that includes them is wrong. This quick check also works if a similar question is asked in a different form.
Final Answer:
Option 1 is correct.
\[ \boxed{\text{Option 1}} \]