What will be the angle between hour and minute hand when clock is showing 7 : 12?
Answer
Correct Answer : c ) 144o
Explanation :7 : 12 = 7 hours and 12 minutes
In 12 hours, hour hand moves 360°
So, in 7 hours hour hand will move= \({360 \over 12}\)×7=210°
Now, for every 60 minutes hour hand will move =\({1 \over 12}\) x 360o= 30°
Therefore, in 12 minutes hours hand will move =\({30 \over 60}\)×12=6o
Therefore at 7 : 12, hour hand will move = 210 + 6 = 216° clockwise
Also, in 60 minutes, minute hand moves = 360°
So, in 12 minutes minute hand move=\({360 \over 60}\)×12=72o clockwise
Therefore angle between hour and minute hand at 7 : 12 will be
Þ 2160 – 720 = 144°
Hence, (c) is the correct answer.
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Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC etc.
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