Question

# At $$3.40$$, the hour hand and the minute hand of a clock form an angle of:

A
120o
B
125o
C
130o
D
135o

Solution

## The correct option is C $${130}^{o}$$Angle traced  by hour hand in $$12hrs={360}^{o}$$.Angle traced by it in $$\cfrac { 11 }{ 3 } hrs={ \left( \cfrac { 360 }{ 12 } \times \cfrac { 11 }{ 3 } \right) }^{ o }={ 110 }^{ o }$$Angle traced by minute hand in $$60min={360}^{o}$$.Angle traced by it in $${ 40min.=\left( \cfrac { 360 }{ 60 } \times 40 \right) }^{ o }={ 240 }^{ o }$$.$$\therefore$$ Required angle $${ \left( 240-110 \right) }^{ o }={ 130 }^{ o }$$.Logical Reasoning

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