ExamAdept

At what angle the hands of a clock are inclined at 15 minutes past 5?

A:

58	1	°
	2

B:

64°

C:

67	1	°
	2

D:

72	1	°
	2

Answer: C

Angle traced by hour hand in	21	hrs =		360	x	21		°	=	157	1	°
	4			12		4					2

Angle traced by min. hand in 15 min. =		360	x 15		°	= 90°.
		60

Required angle =		157	1		°	- 90° = 67	1	°
			2				2

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The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A:

0°

B:

10°

C:

5°

D:

20°

Answer: B

Angle traced by hour hand in	13	hrs =		360	x	13		°	= 130°.
	3			12		3

Angle traced by min. hand in 20 min. =		360	x 20		°	= 120°.
		60

Required angle = (130 - 120)° = 10°.

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At what time between 5.30 and 6 will the hands of a clock be at right angles?

A:

43	5	min. past 5
	11

B:

43	7	min. past 5
	11

C:

40 min. past 5

D:

45 min. past 5

Answer: B

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

Required time = 43	7	min. past 5.
	11

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At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

A:

5 min. past 7

B:

5	2	min. past 7
	11

C:

5	3	min. past 7
	11

D:

5	5	min. past 7
	11

Answer: D

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

Required time = 5	5	min. past 7.
	11

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How much does a watch lose per day, if its hands coincide every 64 minutes?

A:

32	8	min.
	11

B:

36	5	min.
	11

C:

90 min.

D:

96 min.

Answer: A

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

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Questions for: Clock