Narsingh Deonarine (99, 180b, 13x4) battled on for long, and added 82 runs for the fourth wicket with Assad Fudadin (49), but the Windies eventually collapsed to 242 with Zaheer doing the bulk of damage.
The turning point came when seamer Abhishek Nayar broke the Deonarine-Fudadin partnership and thereafter, it was a virtual procession as the Windies resistance caved in with Zaheer striking some deadly blows.
West Indies A 268 and 242 all out in 73.5 overs (Kraigg Brathwaite 21, Narsingh Deonarine 99, Assad Fudadin 49, Zaheer Khan 4 for 59, Abhishek Nayar 2 for 45) lost to India A 564 for 9 by an innings and 54 runs.
Photos: SRK does garba, Nawazuddin takes 'shower' in bathtub
Photos: Soha Ali Khan, Evelyn Sharma, Urvashi Rautela at Mumbai airport
Spotted: Lara Dutta, Mahesh Bhupathi with their daughter in Bandra
Photos: SRK, Tamannaah Bhatia, Varun Dhawan at Mehboob Studio
Birthday special: Sushant Singh Rajput's journey from TV to films