[130^\circ] At 3:40, the hour hand and the minute hand of a clock form an angle of:

For Competitive Exams

At 3:40, the hour hand and the minute hand of a clock form an angle of:

$120^\circ$

$125^\circ$

$130^\circ $

$135^\circ$

Explanation:

Angle traced by hour hand in 12 hrs. = 360$^\circ$

Angle traced by it in$ \dfrac{11}{3} $hrs =$\left(\dfrac{360}{12} \times\dfrac{11}{3}\right)^\circ$ =110$^\circ$.

Angle traced by minute hand in 60 min. = 360$^\circ$

Angle traced by it in 40 min. =$ \left(\dfrac{360}{60} \times 40\right)^\circ$= 240$^\circ$.

$\therefore$ Required angle (240 - 110)$^\circ$ = 130$^\circ$

Additional Questions

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:	Answer
At what time between 4 and 5 oclock will the hands of a watch point in opposite directions?	Answer
At what time between 9 and 10 oclock will the hands of a watch be together?	Answer
At what time, in minutes, between 3 oclock and 4 oclock, both the needles will coincide each other?	Answer
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?	Answer
A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is?	Answer
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?	Answer
At what time between 7 and 8 oclock will the hands of a clock be in the same straight line but, not together?	Answer
At what time between 5.30 and 6 will the hands of a clock be at right angles?	Answer
At 3:40, the hour hand and the minute hand of a clock form an angle of:	Answer

Share with Friends