I'm baffled as to why anyone would recommend eval for this. What you're asking for (though not what you should use) is clearly just another application of symbolic references. Of course, you're not going to get that to work without removing a stricture. 
use strict;

my $string0 = "Jessy";
my $string1 = "Bob";
my $string2 = "Nancy";

for my $num (0..3) {
  no strict 'refs'; # Thanks for the correction, tinita
  print "${qq(string$num)}\n";
}

[download]
Common Beginner Mistakes has a good explanation of why you almost never want to use symbolic refs.
Caution: Contents may have been coded under pressure.

In reply to Re: Printing Variable Variables by Roy Johnson
in thread Printing Variable Variables by awohld

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.