1. If a clock started at noon, then the angle turned by hour hand at 3 : 45 PM is
   

1. 1. 117	1	°
      	9

   
   
   

   2. 104	1	°
      	9

   
   
   

   3. 97	1	°
      	9

   
   
   

   4. 112	1	°
      	9

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question , we have
   The hour hand traces 30° in an hour.
   

   ∴ Angle traced in 3	3	hours i.e	15	hours =	15	× 30°
   	4		4		4

   
   

   Correct Option: D

   According to question , we have
   The hour hand traces 30° in an hour.
   

   ∴ Angle traced in 3	3	hours i.e	15	hours =	15	× 30°
   	4		4		4

   
   

   Required answer =	225°	= 112	1	°
   	2		2

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2. The minute hand of a big wallclock is 35cm long. Taking π = 22/7, length of the arc, its extremity moves in 18 seconds is :
   

1. 1. 11 cm
      

   
   
   

   2. 1.1 cm
      

   
   
   

   3. 6.6 cm
      

   
   
   

   4. 6 cm

   
   
   

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1. View Hint View Answer Discuss in Forum

   As per the given in question ,
   Traced arc length by minute hand in 60 × 60 seconds = 2πr
   radius = 35 cm
   

   ∴ Length of arc made in 18 seconds =	2πr	× 18
   	60 × 60

   
   

   Correct Option: B

   As per the given in question ,
   Traced arc length by minute hand in 60 × 60 seconds = 2πr
   radius = 35 cm
   

   ∴ Length of arc made in 18 seconds =	2πr	× 18
   	60 × 60

   
   

   Length of arc made in 18 seconds = 2 ×	22	×	35 × 18	= 1.1 cm.
   	7		60 × 60

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3. The angle between the hands of a clock when the time is 3 : 20 is
   

1. 1. 6°
      

   
   
   

   2. 10°
      

   
   
   

   3. 20°
      

   
   
   

   4. 12°

   
   
   

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1. View Hint View Answer Discuss in Forum

   On the basis of given details in question ,
   

   3 hours 20 minutes = 3	1	hours
   	3

   
   

   3 hours 20 minutes =	10	hours
   	3

   
   Hour hand traces 360° in 12 hours.
   

   ∴ Angle traced in	10	hours =	360	×	10	= 100°
   	3		12		3

   
   

   Correct Option: C

   On the basis of given details in question ,
   

   3 hours 20 minutes = 3	1	hours
   	3

   
   

   3 hours 20 minutes =	10	hours
   	3

   
   Hour hand traces 360° in 12 hours.
   

   ∴ Angle traced in	10	hours =	360	×	10	= 100°
   	3		12		3

   
   Minute hand traces 360° in 60 minutes.
   

   ∴ Angle traced in 20 minutes =	360	× 20 = 120°
   	60

   ∴ Required angle = 120° – 100° = 20°

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4. The length of a minute hand of a clock is 7cm. The area swept by the minute hand in 30 minutes is :
   

1. 1. 210 sq.cm
      

   
   
   

   2. 154 sq.cm
      

   
   
   

   3. 77 sq.cm
      

   
   
   

   4. 147 sq.cm

   
   
   

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1. View Hint View Answer Discuss in Forum

   Area swept by the minute hand in an hour = πr²
   Here , r = 7 cm
   

   ∴ Required area =	πr²
   	2

   
   

   Correct Option: C

   Area swept by the minute hand in an hour = πr²
   Here , r = 7 cm
   

   ∴ Required area =	πr²
   	2

   
   

   ∴ Required area =	22 × 7 × 7	= 77 sq. cm.
   	7 × 2

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5. The angle between the minute hand and hour hand of a clock when the time is 7 : 20 is equal to
   

1. 1. 45°
      

   
   
   

   2. 90°
      

   
   
   

   3. 100°
      

   
   
   

   4. 120°

   
   
   

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1. View Hint View Answer Discuss in Forum

   As per the given in question ,
   

   At 7 : 20, Number of hours = 7	20	= 7	1	hours
   	60		3

   
   

   Number of hours =	22	hours
   	3

   
   The hour–hand traces 360° in 12 hours.
   

   ∴ Angle traced by hour hand in 22/3 hours =	360°	×	22	= 220°
   	12		3

   
   

   Correct Option: C

   As per the given in question ,
   

   At 7 : 20, Number of hours = 7	20	= 7	1	hours
   	60		3

   
   

   Number of hours =	22	hours
   	3

   
   The hour–hand traces 360° in 12 hours.
   

   ∴ Angle traced by hour hand in 22/3 hours =	360°	×	22	= 220°
   	12		3

   
   ∵ Minute hand traces 360° in 60 minutes.
   

   ∴ Angle traced by minute hand in 20 minutes =	360°	× 20 = 120°
   	60

   
   ∴ Required angle = 220° – 120° = 100°

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