Hello again Anamika,
I tried to reproduce the behavior you described using
this example, but everything worked as expected both on mobile (Android and iOS) and desktop (Chrome, IE10).
Making only the MultiSelect's input read-only is currently not supported, so I would recommend submitting this idea on our
feedback portal, where it could be publicly discussed and voted for. As you probably know, the most popular suggestions posted there are often implemented in future Kendo UI releases.
Regards,
Alexander Popov
Telerik
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