Aptitude - Clock

Angle traced by the hour hand in 6 hours =		360	x 6		º	= 180º.
		12

Angle traced by hour hand in	125	hrs =		360	x	125		º	= 312	1	º	.
	12			12		12				2

Angle traced by minute hand in 25 min =		360	x 25		º	= 150º.
		60

Reflex angle = 360º -		312	1	- 150		º	= 360º - 162	1	º	= 197	1	.
			2					2			2

Angle traced by hour hand in 12 hrs = 360º.

Angle traced by hour hand in 5 hrs 10 min. i.e.,	31	hrs =		360	x	31		º	= 155º.
	6			12		6

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =	37	hrs.
	4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

	37	hrs of this clock =	1	hrs of the correct clock.
	720		20

	37	hrs of this clock =		1	x	720	x	37		hrs of the correct clock.
	4			20		37		4

      = 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

55 min. spaces are covered in 60 min.

60 min. spaces are covered in		60	x 60	min.	= 65	5	min.
		55				11

Loss in 64 min. =		65	5	- 64		=	16	min.
			11				11

Loss in 24 hrs =		16	x	1	x 24 x 60	min.	=	32	8	min.
		11		64					11