There are ontrasts between the two signs of Aquarius and Virgo. It emphasizes a mental and intellectual affinity rather than a deep emotional bond. Virgo is rational, intelligent, analytical and sometimes cool while Aquarius can be dispassionate, detached, uninvolved. Virgo is careful, self-controlled, and orthodox, but Aquarius can be unpredictable, temperamental and unconventional at times.
If they're talking about getting down to business together then they could be starting off on the road to success. But if it's love they're after,they could be in for a bout of a shock.

Aquarius-Virgo Compatibility

If both of them have Venus swooning in loving and giving signs like Leo or Libra for the vestal Virgo or Pisces for the airy Aquarian, they this will be a much more tender-hearted twosome. But if placings in their charts aren't ardent and amorous, they could never find out what they mean to each other.

Aries (Mar 21-Apr 19) Taurus (April 20 - May 20) Gemini (May 21 - Jun 21)
Cancer(June 22 - July 22) Leo (July 23 - Aug 22) Virgo (Aug 23 - Sept 22)
Libra (Sep 23 - Oct 22) Scorpio (Oct 23 - Nov 21) Sagittarius(Nov 22-Dec 21)
Capricorn (Dec 22 - Jan 19) Aquarius (Jan 20 - Feb 18) Pisces (Feb 19 - Mar 20)

In general the above Generic compatibility analysis hold good for all zodiac signs. If you are looking for in-depth compatibility analysis or if you are a professional astrologer the below analysis of Zodiac signs Compatibility - between different gender of zodiac signs will give you detailed answer. Click the below link to learn more.

Aquarius Man

Aquarius Man Compatibility

Aquarius Man and Virgo Woman

Aquarius Woman

Aquarius Woman Compatibility

Aquarius Woman and Virgo Man