Grant Bradburn's side must top their group, which also features Hong Kong, to progress to the Super 10 stage.
This will be played alongside the women's event from 15-28 March.
Should they prevail, Scotland will be entered into a group containing England, Sri Lanka, South Africa and the West Indes.
The Scots will play all their group matches at Vidarbha stadium in Nagpur.
First up, they tackle Afghanistan on 8 March, before taking on Zimbabwe two days later.
Scotland will complete their Group B campaign against Hong Kong on 12 March.
The winners of the first qualifying group, which comprises Ireland, Bangladesh, Netherlands and Oman, will face India, Pakistan, Australia and New Zealand in the Super 10 phase.

Platt, 19 and Thomson, 21, have both joined the National League outfit until the end of the season.
Both players played for Rovers' under-21 side this term in the EFL Trophy, but are yet to play a senior game.
Blackburn are currently 22nd in the second tier, while Barrow are seventh in the National League.

The indoor complex in Middlehaven will include a 557ft (170m) ski slope, climbing area, indoor sky-diving centre, shops and cafes.
Developer Cool Runnings (NE) expect the centre to attract 2.5m visitors a year.
Building work is expected to start early next year, with a forecast opening by the summer of 2019.
Middlesbrough Council described the scheme as a "massive step" in the town's regeneration plans.
Paul Mosley, of Cool Runnings NE, said: "This is fantastic news for us as developer and for Middlesbrough as a whole.
"The feedback we have had from local people has been superb. People have been screaming out for something like this in Middlesbrough.
"There is already a lot of development in Middlehaven and this will just be the icing on the cake."
The project is the latest phase in the regeneration of Middlehaven, with more than £150m already being spent on housing, leisure and business developments.
The nearest snow centre to Middlesbrough is currently in Castleford, West Yorkshire.

The government's preferred route for the second phase of the line, linking Birmingham to Manchester and Leeds, includes a spur junction at Crewe, but no stop at Stoke-on-Trent.
The council has submitted a bid and leader Mohammed Pervez said Stoke-on-Trent would become a "core city".
A decision is due later in 2014.
Alison Munroe, chief executive of HS2 Ltd, told BBC News that the public consultation had just been completed and the secretary of state would make a decision at the end of the year.
Current proposals for the Â£50bn HS2 project would allow trains to run at 225 mph (362km/h) from London to Birmingham from 2026, with branches to Manchester and to Leeds via Sheffield planned by 2032.
Mr Pervez has said the proposed station would put Stoke-on-Trent within 55 minutes of London.
Councils in Coventry, Warwickshire and rural Staffordshire are opposed to the rail plan.
"This would make Stoke-on-Trent a core city," Mr Pervez said.
"The amount of growth that will happen is unimaginable and actually, the amount of contribution the area that Stoke-on-Trent and Staffordshire can make to the overall economy of the UK is absolutely huge."
Scotland's men will face Zimbabwe and Afghanistan in the first stage of next year's ICC World Twenty20 tournament in India.
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Barrow have signed defender Matty Platt and midfielder Connor Thomson on loan from Championship club Blackburn Rovers' development side.
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Plans for a £30m snow and leisure centre, which is expected to create more than 300 jobs, have been approved by councillors in Middlesbrough.
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A station in Stoke-on-Trent as part of the high-speed rail project "has not been ruled out", the HS2 boss says.