Answer :
In between 6 : 00 and 9 : 00 right angles does an hour hand of clock
1 ) 6 : 16 : 21
2 ) 6 : 49 : 05
3 ) 7 : 21 : 49
4 ) 7 : 54 : 32
5 ) 8 : 27 : 16
6 ) 9 : 00 : 00
So,
6 times hands at right angles in hour hand of clock in between 6 : 00 and 9 : 00