Step-by-Step Logical Deduction

To solve this puzzle, we can create a table to track the shirt colors and hobbies of the five friends and fill it in based on the given clues.

1. Initial Information and Hobby Deductions

First, let's assign the known hobbies and use elimination to find the rest.

• From the clues, we know:
  • Kapil's hobby is Singing.
  • Nagesh's hobby is Playing.
  • Amar's hobby is Writing.
• We are told Sarvesh does not like reading or writing. The remaining hobbies are reading and outing. Therefore, Sarvesh's hobby must be Outing.
• The only person left is Rohan, and the only hobby left is Reading. So, Rohan's hobby is Reading.

2. Shirt Color Deductions

Now, let's assign the shirt colors based on the clues.

• Sarvesh wears the Red shirt.
• We are told several people do not wear the Yellow shirt:
  • Kapil does not wear Yellow.
  • Nagesh does not wear Yellow.
  • Rohan does not wear Yellow.
• Since Sarvesh is wearing Red, and Kapil, Nagesh, and Rohan are not wearing Yellow, the only person left to wear the Yellow shirt is Amar.

3. Analyzing the Remaining Possibilities

At this point, we have assigned Red to Sarvesh and Yellow to Amar. The remaining information is:

• Remaining People: Kapil, Nagesh, Rohan
• Remaining Shirt Colors: Blue, White, Green
• Constraints:
  • Nagesh does not wear Blue (so he wears White or Green).
  • Rohan does not wear Green (so he wears White or Blue).
  • Kapil has no further restrictions (so he can wear Blue, White, or Green).

From these constraints, we cannot create a unique assignment. For example, the following two scenarios are both valid:

• Scenario 1: Rohan wears Blue, Nagesh wears White, Kapil wears Green.
• Scenario 2: Rohan wears White, Nagesh wears Green, Kapil wears Blue.

Conclusion

Since the color of Kapil's shirt changes depending on the scenario (it could be Green, Blue, etc.), we cannot determine it with certainty from the information given.

Therefore, there is insufficient data to answer the question.