CDS Model Paper 5 Mathematics

At 9 'o clock, the Minute Hand is ahead of Hour Hand by 45 minutes. The hands will be opposite to each other when there is a space of 30 minutes between them.
This will happen when the Minute Hand gains 15 minutes space over Hour Hand.
Time taken by Minutes Hand to gain 15 minutes
=15×(1+

1

11

)=15+

15

11

=15+1

4

11

=16

4

11

minutes.
Hence the Hands are opposite to each other at 16

4

11

minutes past 9.