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

( A ) 120
( B ) 135
( C ) 130
( D ) 125

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130 is correct answer or not
Yes, that is correct

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Solution :
Angle traced by hour hand in 12 hrs $=360^{\circ}$
Angle traced by 1t in $\large\frac{11}{3}$$hrs = \bigg[\large\frac{360}{12} \times \frac{11}{3}\bigg] \qquad= 110^{\circ} Angle traced by minute hand in 60 mins =360^{\circ} Angle traced by it in 40 min =\bigg[\large\frac{360}{60}$$ \times 40 \bigg]$
$\quad= 240^{\circ}$
Required angle $=[240 -110]^{\circ}$
$\qquad= 130^{\circ}$