What is the angle between the minute hand and the hour hand when the time is 1540 hours?
Choose the correct choice from the following answers:  A) 150  B) 160  C) 140  D) 130  E) None
Solution:   The total angle made by the minute hand during an hour is 360o. If it takes 360o for an hour, it will take   (40/60) * 360= 
<gadget id="calculator">  (40/60) * 360</gadget>
<output>240</output>
240o. The angle between the hour hand the minute hand will therefore, be somewhere between  240 - 90= 
<gadget id="calculator"> 240 - 90</gadget>
<output>150</output>
150o, as the hour hand is between 3 and 4.   The angle made by the hour hand when it moves from say 3 to 4 will be 30o. That is the hour hand makes 30o during the course of an hour.   The hour hand will therefore, move (40/60) * 30= 
<gadget id="calculator">(40/60) * 30</gadget>
<output>20</output>
20o.   Therefore, the net angle between the hour hand and the minute hand will be   150 - 20= 
<gadget id="calculator">  150 - 20</gadget>
<output>130</output>
130o.   Answer 130
<result>D</result>
What is the angle between the minute hand and the hour hand when the time is 1540 hours?