Hi vyeddula,
This thread Small Perl quests for a beginner? may be of help. There are several links to questions you can try your hands on.
Please check it.

• s// All Files In Directory
• Rewrite Program Using Arrays
• References: For Newbies
• Laying Your Foundations
• General Computer Science: For Beginners
• Perl Exercises: For Beginners
• Where Do I Go Next?

http://learn.perl.org/books/beginning-perl/

Teach Yourself Programming in Ten Years, What is the best way to master perl, Whats the average time taken to learn Perl?,

Common Perl Pitfalls / perltrap

Tutorials: Basic debugging checklist , brian's Guide to Solving Any Perl Problem

perlintro, http://learn.perl.org/books/beginning-perl/, http://perl-tutorial.org/, Tutorials: Basic debugging checklist , brian's Guide to Solving Any Perl Problem, Modern Perl book, a loose description of how experienced and effective Perl 5 programmers work....You can learn this too.

The Perl Monks Guide to the Monastery, Re^8: How to use wxHtmlEasyPrinting (On debugging, verify everything, talk to teddybear ... and links and links

General Computer Science: For Beginners
Where Do I Go Next?
Re: Reading other people's modules and codes
Re^8: How to use wxHtmlEasyPrinting (On debugging, verify everything, talk to teddybear ... and links and links
Re^3: highest value in hash (virtual teddybear)

I think you will find that Seekers of Perl Wisdom is itself a treasure trove of over a million questions that are candidates for beginner exercises.

Granted, sometimes the biggest problem is to figure out what the original poster meant to ask in the first place. Once this is clear, you will frequently find that the question is too specialized or subtle to use as a beginner's exercise.

Once these hurdles are passed, you will often find yourself with a question in hand that is both clear enough and fundamental enough to be enlightening. Without looking at the answers of others, provide your own answer. Look through the documentation to provide support for your answer. (Becoming familiar with the extensive documentation provided with Perl both on- and off-line is valuable in and of itself.) Write some small code examples! (Note that the word examples is plural; variations on working code are often instructive and may produce enlightening extensions to the original question. Play with the code!) Then, and only then, look at the answers to the question provided by others. Then start over: check their documentation links; test and vary their code examples; etc.

I go through SoPW looking for regex-related questions with precisely this attitude. I may not come up with an answer that is original or particularly helpful to the OPer, but I will often benefit myself!

May your quest(ion)ing be fruitful!

Puzzle 1:

Explain what the following code does...

my @list2 = sort keys %{ { map { $_ => 1 } @list1 } };
[download]

(Not sure if this is what you had in mind, and if it's the right level of difficulty. Specify if not.)

You can find some interesting problems with solution in PERL at perlquiz.blogspot.in