Question

What is the difference in degree measurement of the angle made by minute hand and hour hand of the clock at 12:35 and 12:36 O'clock?
a) 5.6 degrees
b) 5.5 degrees
c) 5 degrees
d) 6.2 degrees
e) 4.5 degrees
Please specify with the solution or reason

Answer 1

in clock, 1 min = 360°/60 = 6° and
1 hour = 360/12 = 30°
12:35 = 35*6° - (35/60)*30° = 210° - 17.5° = 192.5°
where 35*6° represent min hand, and
(35/60)*30° represent hour hand
35/60 represent that the hour hand is in between 12 and 1 hour
12:36 = 36*6° - (36/60)*30° = 216° - 18° = 198°
where 36*6° represent the minute hand,
(36/60)*30° represent the hour hand is in between 12 and 1
difference in degree of 12:36 and 12:35 is 198° - 192.5° = 5.5°