[197\dfrac{1}{2}^\circ] The reflex angle between the hands of a clock at 10.25 is:

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Aptitude

TNPSC G4

10th CBSE Maths

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

$180^\circ$

$192\dfrac{1}{2}^\circ$

$195^\circ$

$197\dfrac{1}{2}^\circ$

Explanation:

Angle traced by hour hand in$ \dfrac{125}{12} $hrs =$\left(\dfrac{360}{12} \times \dfrac{125}{12}\right)^\circ$= 312$ \dfrac{1}{2}^\circ$.

Angle traced by minute hand in 25 min =$ \left(\dfrac{360}{60} \times 25\right)^\circ $= 150$^\circ$.

$\therefore$ Reflex $\times$ angle = $360^\circ$ -$ \left(312\dfrac{1}{2} - 150\right)^\circ$= 360$^\circ$ - 162$ \dfrac{1}{2}^\circ $= 197$ \dfrac{1}{2} $.

Additional Questions

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:	Answer
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 oclock, the true time is:	Answer
How much does a watch lose per day, if its hands coincide every 64 minutes?	Answer
An accurate clock shows 8 oclock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 oclock in the afternoon?	Answer
The reflex angle between the hands of a clock at 10.25 is:	Answer
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:	Answer
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 oclock, the true time is:	Answer
How much does a watch lose per day, if its hands coincide every 64 minutes?	Answer

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