General Questions

Answer: Option C

Explanation:

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

Answer: Option A

Explanation:

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

Answer: Option D

Explanation:

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

Answer: Option B

Explanation:

Time from 7 a.m. to 4.15 p.m.

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

⇒	37	hrs of this clock =		1	x	720	x	37		.
	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.

Answer: Option B

Explanation:

Angle traced by hour hand in:

	13	hrs =		360	x	13		º	= 130º.
	3			12		3

Angle traced by min. hand in 20 min.

=		360	x 20		º	= 120º.
		60

∴ Required angle = (130 - 120)º = 10º.

Answer: Option C

Explanation:

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

Angle traced by it in :

	11	hrs =		360	x	11		°	= 110°.
	3			12		3

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min.

=		360	x 40		°	= 240°.
		60

∴ Required angle (240 - 110)° = 130°.

Answer: Option D

Explanation:

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

∴ Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in :

		60	x 5	min	= 5	5	min.
		55				11

Answer: Option C

Explanation:

Angle traced by hour hand in:

	21	hrs =		360	x	21		º	=	157	1	º
	4			12		4					2

Angle traced by min. hand in 15 min.

=		360	x 15		º	= 90º.
		60

∴ Required angle

=		157	1		º	- 90º = 67	1	º
			2				2

Answer: Option B

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in :

		60	x 40	min	=	43	7	min.
		55					11

Answer: Option A

Explanation:

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours. 

24 hours 10 min. of this clock = 24 hours of the correct clock. 

	145	hrs of this clock
	6

29 hours of this clock

=		24 x	6	x 29	hours of the correct clock.
			145

= 28 hrs 48 min of the correct clock.

Therefore, the correct time is 28 hrs 48 min. after 8 a.m. 

This is 48 min. past 12.