Were Aurangzeb and Johann Sebastian Bach alive at the same time?
Yes. Aurangzeb and Johann Sebastian Bach were alive at the same time for 21 years, from 1685 to 1707.
Aurangzeb was 66 when Johann Sebastian Bach was born.
Johann Sebastian Bach was 21 when Aurangzeb died, aged 88.
Aurangzeb
The sixth Mughal Emperor from 1658 to 1707
Born 3 November 1618 · died 3 March 1707, aged 88
Johann Sebastian Bach
German composer
Born 21 March 1685 (Julian calendar) · died 28 July 1750, aged 65