type 1 angle between the hands of clock Detailed Explanation And More Example

Answer: (c)

Angle traced by hour hand in 12 hrs = 360°

Angle traced by it in 11/3 hrs = $(360/12 × 11/3)° = 110°$

Angle traced by minute hand in 60 min = 360°

Angle traced by it in 40 min = $(360/60 × 40)^o$ = 240°

∴ Required angle = $(240 - 110)^o$ = 130°

Answer: (a)

Angle traced by the minute hand in 5 minutes = $(360/60 × 5)^o = 30°$

Answer: (c)

Angle traced by the hour hand in 12 hrs = 360°

Angle traced by the hour hand in 5 hrs 10 min, i.e., $31/6 hrs = (360/12 × 31/6)^o = 155°$