The reflex angle between the hands of a clock at 10.25 is :

Options

A. `192""1/2`
B. `195^(@)`
C. `180^(@)`
D. `197""1/2`

Answer

D

Explanation

Angle traced by hour hand in 12 hrs. = `360^(@)`
So, Angle traced by hour hand in `125/12` hrs.
`" "=(360/12 times 125/12)^(@)=312""1^(@)/2`
Angle traced by minute hand in 60 minutes = `360^(@)`.
So, Angle traced by minute had in 25 minutes
`" "=(360/60 times 25^(@))=150^(@)`
Therefore, Reflex angle = `360^(@)-(312""1/2-150^(@))`
`" "360^(@)-162""1^(@)/2=197""1^(@)/2`