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The reflex angle between the hands of a ...

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

A

`192""1/2`

B

`195^(@)`

C

`180^(@)`

D

`197""1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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`
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Knowledge Check

  • The angle between the hands of a clock when the time is 3:20 is

    A
    `6^(@)`
    B
    `10^(@)`
    C
    `20^(@)`
    D
    `12^(@)`

  • The angle between the hands of a clock when the time 4'O clock is ,

    A
    `60^(@)`
    B
    `90^(@)`
    C
    `150^(@)`
    D
    `120^(@)`

  • When the time is 4:20, the angle between the hands of the clock is:

    A
    `20^@`
    B
    `15^@`
    C
    `12(1^@)/(2)`
    D
    `10^@`

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