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Look
Ion X is tested , No precipitate is formed so it's not Al3+
It's not SO42- as Bacl2/Ba(NO3)2 is not used
Now , NH4+ or NO3- ?
For NH4+ when we add NaOH ammonia is released and ammonia turs red litmus blue which is not happening here so it's not NH4+
The Ans is NO3-
because :
When NaOH is heated with NO3- there is no visible observation so red litmus stays red
Then when Aluminium powder (i.e metal powder) is added and heated ammonia is evolved which turns red litmus blue