Chasing 217 to win, the Dutch were comfortably placed at 114-2 at one stage, before losing their next seven wickets for 71 runs.
Rohit Kumar Paudel, at 15 years and 335 days, is the fourth-youngest player to make his ODI debut.
Chasing a modest 190 to win, Nepal, playing their first 50-over game since securing ODI status earlier this year, were bowled out for 134 with more than eight overs to spare.
The four teams have been added to the 12 Test-playing nations already existing on the list.
Ireland won the toss and elected to field but the Netherlands openers had to wait for more than two and a half hours to take to the field with the rain-affected ICC World T20 game reduced to 6-overs-a-side.
While the Netherlands' ICC World T20 match versus Oman was called off without a ball being bowled, Ireland got some action against Bangladesh before heavy rain intervened and washed away their hopes as well in Dharamsala on Friday.
The Netherlands had lost their opening ICC World T20 Group A game to Bangladesh. Oman on other have a good chance of making the tournament proper after their famous win over Ireland.
The match between Netherlands and Oman was abandoned without a ball bowled in Dharamsala. The result meant that Netherlands were out of the competition. Check out all the highlights here.
Bangladesh, put into bat, scored a fighting 153 for seven thanks to Tamim Iqbal. The Netherlands gave their opponents a run for their money but ultimately experience prevailed and the minnows were restricted to 145 for seven in their 20 overs.
Riding high on Tamim Iqbal's unbeaten 83 off just 58 balls, coupled with good performance from spinners have helped Bangladesh register an eight run win over Netherlands in the first round of T20 World Cup 2016 in Dharamsala. Catch all the highlights of the Group A match here.
Key to Netherlands' World Twenty20 hopes will be all-rounder Logan van Beek who took three for nine from two overs when the Dutch beat England by 45 runs in Chittagong two years ago.
Netherlands and Scotland have qualified for the ICC World Twenty20 in India next year.
Netherlands and Nepal had both qualified for the ICC World Twenty20 Bangladesh 2014.
Steve Tikolo has replaced Robin Brown, who stood down after the side's failure to qualify for next year's ICC World Twenty20 championships in Bangladesh.
Akashdeep Singh and Gurjinder Singh scored for India but a solid performance by the 2009 runners-up Netherlands kept the hosts at bay in their pool C tie.
India's first game is against Netherlands on Friday and chief coach Greg Clark understands the importance of the opening game. He maintains that it won't be easy but backs his boys to put up a good performance.
India take on Netherlands in the opening match of the Junior World Cup hockey. The tournament is from December 6-15 in New Delhi.
Paul Stirling and veteran Trent Johnston starred for Ireland as Afghanistan were bowled out for 157, chasing a mammoth 225 for a win in Abu Dhabi.